{"id":57196,"date":"2022-03-02T17:27:41","date_gmt":"2022-03-03T01:27:41","guid":{"rendered":"https:\/\/origin.getmoremath.com\/?page_id=57196"},"modified":"2023-10-19T00:02:46","modified_gmt":"2023-10-19T00:02:46","slug":"6th","status":"publish","type":"page","link":"https:\/\/getmoremath.com\/6th\/","title":{"rendered":"6th Grade Skills"},"content":{"rendered":"\n

6th Grade Skills<\/strong><\/h2>\n\n\n\n

VIEW ALL SKILLS<\/a><\/p>\n\n\n\n

\n
    \n
  • \n
    \n Whole Numbers\n <\/div>\n
      \n
    • \n
      \n Addition of Whole Numbers\n <\/div>\n
        \n
      • \n
        \n Basic Addition of Whole Numbers\n <\/div>\n
          \n
        • \n Add three- & four-digit whole numbers\n <\/li>\n
        • \n Condensed: Add four-digit & three- or four-digit whole numbers\n <\/li>\n
        • \n Add four-digit whole numbers\n <\/li>\n <\/ul>\n <\/li>\n
        • \n
          \n Application of Addition of Whole Numbers\n <\/div>\n
            \n
          • \n Add three- & four-digit whole numbers, real-world context\n <\/li>\n
          • \n Add four-digit whole numbers, real-world context\n <\/li>\n
          • \n Condensed: Add whole numbers, up to five digits, including real-world context\n <\/li>\n
          • \n Condensed: Add whole numbers, up to five digits, real-world context\n <\/li>\n
          • \n Add five-digit whole numbers, real-world context\n <\/li>\n
          • \n Add five- or six-digit whole numbers, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
          • \n
            \n Subtraction of Whole Numbers\n <\/div>\n
              \n
            • \n
              \n Basic Subtraction of Whole Numbers\n <\/div>\n
                \n
              • \n Subtract whole numbers, four-digit & three-digit\n <\/li>\n
              • \n Condensed: Subtract whole numbers, four-digit & three- or four-digit\n <\/li>\n
              • \n Subtract whole numbers, five-digit & four- or five-digit\n <\/li>\n
              • \n Condensed: Subtract whole numbers, four- to six-digit & two- to five-digit\n <\/li>\n
              • \n Subtract whole numbers, six- or seven-digit & up to six digits\n <\/li>\n
              • \n Subtract whole numbers, seven-digit & six- or seven-digit\n <\/li>\n <\/ul>\n <\/li>\n
              • \n
                \n Application of Subtraction of Whole Numbers\n <\/div>\n
                  \n
                • \n Subtract whole numbers, four-digit & three- or four-digit, real-world context\n <\/li>\n
                • \n Subtract whole numbers, five-digit & four- or five-digit, real-world context\n <\/li>\n
                • \n Subtract whole numbers, six-digit & five- or six-digit, real-world context\n <\/li>\n
                • \n Subtract whole numbers, seven-digit & six- or seven-digit, real-world context\n <\/li>\n
                • \n Condensed: Subtract whole numbers, four- to seven-digit & three- to six-digit, including real-world context\n <\/li>\n
                • \n Condensed: Subtract whole numbers, four- to seven-digit & three- to six-digit, including real-world context\n <\/li>\n
                • \n Condensed: Subtract whole numbers, four- to seven-digit & three- to six-digit, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                • \n
                  \n Multiplication of Whole Numbers\n <\/div>\n
                    \n
                  • \n
                    \n Application & Modeling of Multiplication of Whole Numbers\n <\/div>\n
                      \n
                    • \n Condensed: Multiply whole numbers, one-digit & up to four-digit, real-world context\n <\/li>\n
                    • \n Condensed: Multiply whole numbers, one- or two-digit & up to four-digit, real-world context\n <\/li>\n
                    • \n Condensed: Multiply whole numbers using area models or decomposition, up to four-digit & one-digit\n <\/li>\n
                    • \n Condensed: Multiply whole numbers using area models or decomposition, two-digit & two-digit\n <\/li>\n
                    • \n Multiply whole numbers, three-digit & two-digit, including addition or subtraction step, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                    • \n
                      \n Basic Multiplication of Whole Numbers\n <\/div>\n
                        \n
                      • \n Condensed: Multiply whole numbers, three- or four-digit & one-digit\n <\/li>\n
                      • \n Multiply whole numbers, two-digit & two-digit\n <\/li>\n
                      • \n Multiply whole numbers by decomposing factors, two-digit & two-digit\n <\/li>\n
                      • \n Multiply whole numbers, two-digit & two- or three-digit\n <\/li>\n
                      • \n Multiply whole numbers, three-digit & two-digit \n <\/li>\n
                      • \n Condensed: Multiply whole numbers, three- or four-digit & two-digit\n <\/li>\n
                      • \n Multiply whole numbers, four-digit & two-digit\n <\/li>\n
                      • \n Multiply whole numbers, both up to three digits\n <\/li>\n
                      • \n Condensed: Multiply whole numbers, up to four-digit & up to three-digit, no more than six total digits\n <\/li>\n <\/ul>\n <\/li>\n
                      • \n
                        \n Multiplicative Comparisons of Whole Numbers\n <\/div>\n
                          \n
                        • \n Solve problems involving multiplicative comparisons\n <\/li>\n
                        • \n Solve problems involving multiplicative & additive comparisons of whole numbers\n <\/li>\n
                        • \n Solve problems involving multiplicative & additive comparisons\n <\/li>\n
                        • \n Condensed: Solve problems involving division of positive integers & multiplicative & additive comparisons, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                        • \n
                          \n Division of Whole Numbers\n <\/div>\n
                            \n
                          • \n
                            \n Basic Division of Whole Numbers\n <\/div>\n
                              \n
                            • \n Apply divisibility rules to two-digit dividends, divisor 2, 3, 4, 5, 6, 9, 10\n <\/li>\n
                            • \n Condensed: Determine quotient & remainder, two-digit dividend, up to two-digit divisor\n <\/li>\n
                            • \n Condensed: Determine quotient & remainder, three-digit dividend, up to two-digit divisor\n <\/li>\n
                            • \n Condensed: Determine quotient & remainder, four-digit dividend, up to two-digit divisor\n <\/li>\n
                            • \n Condensed: Determine quotient & remainder as fraction, two-digit dividend, up two two-digit divisor\n <\/li>\n
                            • \n Condensed: Determine quotient & remainder as fraction, three-digit dividend, up two two-digit divisor\n <\/li>\n
                            • \n Condensed: Determine quotient & remainder as fraction, four-digit dividend, up two two-digit divisor\n <\/li>\n
                            • \n Divide whole numbers with decimal quotient, up to three-digit dividend, up to three-digit divisor\n <\/li>\n <\/ul>\n <\/li>\n
                            • \n
                              \n Application of Division of Whole Numbers\n <\/div>\n
                                \n
                              • \n Determine division equations, real-world context \n <\/li>\n
                              • \n Determine equivalence between area models & division equations\n <\/li>\n
                              • \n Determine equivalence between arrays & division equations\n <\/li>\n
                              • \n Condensed: Determine equivalence between models & division equations\n <\/li>\n
                              • \n Divide positive integers, up to four-digit dividend, one-digit divisor, real-world context\n <\/li>\n
                              • \n Divide positive integers, up to four-digit dividend, up to two-digit divisor, real-world context\n <\/li>\n
                              • \n Determine quotient, up to four-digit dividend, up to two-digit divisor, real-world context\n <\/li>\n
                              • \n Determine quotient or remainder, up to four-digit dividend, one-digit divisor, real-world context\n <\/li>\n
                              • \n Divide positive integers for decimal result, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                              • \n
                                \n Mixed Operations of Whole Numbers\n <\/div>\n
                                  \n
                                • \n
                                  \n Diagrams of Mixed Operations of Whole Numbers\n <\/div>\n
                                    \n
                                  • \n Solve multi-step problems involving models & whole number operations, initially add, real-world context\n <\/li>\n
                                  • \n Solve multi-step problems involving models & whole number operations, initially subtract, real-world context\n <\/li>\n
                                  • \n Solve multi-step problems involving models & whole number operations, initially multiply, real-world context\n <\/li>\n
                                  • \n Solve multi-step problems involving models & whole number operations, initially divide, real-world context\n <\/li>\n
                                  • \n Condensed: Solve multi-step problems involving models & whole number operations, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                  • \n
                                    \n Equations of Mixed Operations of Whole Numbers\n <\/div>\n
                                      \n
                                    • \n Solve two-step equation with isolated variable, real-world context\n <\/li>\n
                                    • \n Identify multi-step equations, real-world context\n <\/li>\n
                                    • \n Solve multi-step problems involving equations & whole number operations, initially add, real-world context\n <\/li>\n
                                    • \n Solve multi-step problems involving equations & whole number operations, initially subtract, real-world context\n <\/li>\n
                                    • \n Solve multi-step problems involving equations & whole number operations, initially multiply, real-world context\n <\/li>\n
                                    • \n Solve multi-step problems involving equations & whole number operations, initially divide, real-world context\n <\/li>\n
                                    • \n Condensed: Solve multi-step problems involving equations & whole number operations, real-world context\n <\/li>\n
                                    • \n Determine & solve two-step equations with isolated variable, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                    • \n
                                      \n Diagrams & Equations of Mixed Operations of Whole Numbers\n <\/div>\n
                                        \n
                                      • \n Condensed: Solve multi-step problems involving equations, models, & whole number operations, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                      • \n
                                        \n Application of Mixed Operations of Whole Numbers\n <\/div>\n
                                          \n
                                        • \n Determine & evaluate addition or subtraction expressions, real-world context\n <\/li>\n
                                        • \n Solve multi-step problems involving whole number operations, initially add, real-world context\n <\/li>\n
                                        • \n Solve multi-step problems involving whole number operations, initially subtract, real-world context\n <\/li>\n
                                        • \n Solve multi-step problems involving whole number operations, initially multiply, real-world context\n <\/li>\n
                                        • \n Solve multi-step problems involving whole number operations, initially divide, real-world context\n <\/li>\n
                                        • \n Solve multi-step problems involving division of positive integers, real-world context\n <\/li>\n
                                        • \n Solve multi-step problems involving operations with whole numbers\n <\/li>\n
                                        • \n Condensed: Solve multi-step problems involving whole number operations, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                        • \n
                                          \n Rounding & Estimating Whole Numbers\n <\/div>\n
                                            \n
                                          • \n
                                            \n Basic Rounding & Estimating Whole Numbers\n <\/div>\n
                                              \n
                                            • \n Round whole numbers to nearest ten\n <\/li>\n
                                            • \n Round whole numbers to nearest hundred\n <\/li>\n
                                            • \n Round whole numbers to nearest thousand\n <\/li>\n
                                            • \n Condensed: Round whole numbers to nearest ten, hundred, & thousand\n <\/li>\n
                                            • \n Round whole numbers using front-end rounding\n <\/li>\n
                                            • \n Round whole numbers to specified place value, up to hundred-thousand\n <\/li>\n <\/ul>\n <\/li>\n
                                            • \n
                                              \n Application of Rounding Whole Numbers\n <\/div>\n
                                                \n
                                              • \n Round whole numbers to nearest ten, real-world context\n <\/li>\n
                                              • \n Round whole numbers to nearest hundred, real-world context\n <\/li>\n
                                              • \n Round whole numbers to nearest thousand, real-world context\n <\/li>\n
                                              • \n Condensed: Round whole numbers to nearest ten, hundred, & thousand, including real-world context\n <\/li>\n
                                              • \n Condensed: Round whole numbers to nearest ten, hundred, & thousand, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                              • \n
                                                \n Application of Estimating Whole Numbers\n <\/div>\n
                                                  \n
                                                • \n Estimate sums of whole numbers, up to six digits, including real-world context\n <\/li>\n
                                                • \n Estimate differences of whole numbers, up to six digits, including real-world context\n <\/li>\n
                                                • \n Estimate sums & differences of whole numbers by rounding to specified place values\n <\/li>\n
                                                • \n Estimate products of whole numbers, two-digit factor times one-digit factor\n <\/li>\n
                                                • \n Estimate quotients of whole numbers, up to six-digit dividend, up to three-digit divisor\n <\/li>\n
                                                • \n Condensed: Estimate sums, differences, & products of whole numbers\n <\/li>\n
                                                • \n Estimate sum of rational numbers, round both to nearest whole, real-world context\n <\/li>\n
                                                • \n Determine division expression to estimate quotient using compatible numbers\n <\/li>\n
                                                • \n Identify division expression to estimate quotient using compatible numbers, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                • \n
                                                  \n Comparing & Ordering Whole Numbers\n <\/div>\n
                                                    \n
                                                  • \n Compare two positive integers\n <\/li>\n
                                                  • \n Compare three-digit whole numbers\n <\/li>\n
                                                  • \n Compare four-digit whole numbers\n <\/li>\n
                                                  • \n Compare five-digit whole numbers\n <\/li>\n
                                                  • \n Compare six-digit whole numbers\n <\/li>\n
                                                  • \n Order whole numbers up to 1,000,000,000, including real-world context\n <\/li>\n
                                                  • \n Condensed: Order whole numbers, up to 1,000,000,000, including real-world context\n <\/li>\n
                                                  • \n Order whole numbers up to 1,000,000,000, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                  • \n
                                                    \n Fractions\n <\/div>\n
                                                      \n
                                                    • \n
                                                      \n Representing Fractions\n <\/div>\n
                                                        \n
                                                      • \n Identify fractions or mixed numbers on decimal grid\n <\/li>\n
                                                      • \n Identify fractions on strip diagrams\n <\/li>\n
                                                      • \n Identify common fractions or mixed numbers on number line\n <\/li>\n <\/ul>\n <\/li>\n
                                                      • \n
                                                        \n Equivalent Fractions\n <\/div>\n
                                                          \n
                                                        • \n Determine how many fraction parts are in whole\n <\/li>\n
                                                        • \n Determine equivalent fractions, strip diagrams\n <\/li>\n
                                                        • \n Determine equivalent fractions, number lines\n <\/li>\n
                                                        • \n Determine equivalent fractions, area models\n <\/li>\n
                                                        • \n Determine equivalent fraction equations, area models\n <\/li>\n
                                                        • \n Determine equivalent fraction components\n <\/li>\n
                                                        • \n Identify or determine equivalent fraction components or fractions\n <\/li>\n <\/ul>\n <\/li>\n
                                                        • \n
                                                          \n Simplifying Fractions\n <\/div>\n
                                                            \n
                                                          • \n Reduce fractions, denominators less than 20\n <\/li>\n
                                                          • \n Reduce fractions, answer denominators less than 10\n <\/li>\n
                                                          • \n Reduce fractions, answer denominators less than 30\n <\/li>\n
                                                          • \n Reduce fraction part of mixed numbers\n <\/li>\n
                                                          • \n Simplify & reduce mixed numbers, improper fraction part\n <\/li>\n <\/ul>\n <\/li>\n
                                                          • \n
                                                            \n Converting Fractions\n <\/div>\n
                                                              \n
                                                            • \n
                                                              \n Converting Fractions to Decimals\n <\/div>\n
                                                                \n
                                                              • \n Given model, determine fraction & decimal equivalents, unreduced\n <\/li>\n
                                                              • \n Identify decimal equivalent of fractions, real-world context\n <\/li>\n
                                                              • \n Convert fractions to decimals, denominator power of 10\n <\/li>\n
                                                              • \n Convert fractions to decimals, denominator factor of power of 10\n <\/li>\n
                                                              • \n Convert fractions to decimals, denominator factor of 100\n <\/li>\n
                                                              • \n Convert fractions to decimals, real-world context\n <\/li>\n
                                                              • \n Convert fractions to decimals, up to two decimal places, real-world context\n <\/li>\n
                                                              • \n Convert fractions to rounded decimals\n <\/li>\n
                                                              • \n Convert fractions to decimals, including improper fractions, including repeating decimals\n <\/li>\n
                                                              • \n Convert mixed numbers to decimals, including repeating decimals\n <\/li>\n <\/ul>\n <\/li>\n
                                                              • \n
                                                                \n Converting Improper Fractions & Mixed Numbers\n <\/div>\n
                                                                  \n
                                                                • \n Convert mixed numbers to improper fractions, denominators less than 10\n <\/li>\n
                                                                • \n Convert mixed numbers to improper fractions, includes denominators more than 10\n <\/li>\n
                                                                • \n Convert whole numbers to improper fractions\n <\/li>\n
                                                                • \n Convert improper fractions to mixed numbers, whole part up to 3\n <\/li>\n
                                                                • \n Convert improper fractions to mixed numbers, whole part up to 12\n <\/li>\n
                                                                • \n Condensed: Convert between improper fractions & mixed numbers\n <\/li>\n <\/ul>\n <\/li>\n
                                                                • \n
                                                                  \n Converting Fractions to Percents\n <\/div>\n
                                                                    \n
                                                                  • \n Convert fractions to percents, denominator factor of 100\n <\/li>\n
                                                                  • \n Convert fractions to percents, denominator factor of 100, rounding directions\n <\/li>\n
                                                                  • \n Convert fractions to rounded percents\n <\/li>\n
                                                                  • \n Convert improper fractions to rounded percents\n <\/li>\n
                                                                  • \n Convert fractions to mixed number percents\n <\/li>\n
                                                                  • \n Convert fractions to mixed number percents over 100\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                  • \n
                                                                    \n Comparing & Ordering Fractions\n <\/div>\n
                                                                      \n
                                                                    • \n
                                                                      \n Modeling Comparing Fractions\n <\/div>\n
                                                                        \n
                                                                      • \n Determine equivalent fractions, strip diagrams\n <\/li>\n
                                                                      • \n Compare two fractions, different denominators, number lines\n <\/li>\n
                                                                      • \n Compare two fractions, different denominators, strip diagrams\n <\/li>\n
                                                                      • \n Compare two fractions, different denominators, area models\n <\/li>\n
                                                                      • \n Compare fractions, different denominators, visual model\n <\/li>\n
                                                                      • \n Compare fractions, denominators less than 10\n <\/li>\n <\/ul>\n <\/li>\n
                                                                      • \n
                                                                        \n Basic Comparing & Ordering Fractions\n <\/div>\n
                                                                          \n
                                                                        • \n Compare fractions, denominators less than 10\n <\/li>\n
                                                                        • \n Compare fractions, denominators less than 30\n <\/li>\n
                                                                        • \n Compare fractions between one-half & one\n <\/li>\n
                                                                        • \n Compare fractions, same numerators, denominators differ by one, denominators less than 10,000\n <\/li>\n
                                                                        • \n Compare fractions, different denominators \n <\/li>\n
                                                                        • \n Order positive fractions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                        • \n Determine equivalent fractions, strip diagrams\n <\/li>\n
                                                                        • \n Compare two fractions, different denominators, area models\n <\/li>\n
                                                                        • \n Compare two fractions, different denominators, number lines\n <\/li>\n
                                                                        • \n Compare two fractions, different denominators, strip diagrams\n <\/li>\n
                                                                        • \n Compare fractions, denominators less than 10\n <\/li>\n
                                                                        • \n Compare fractions, denominators less than 30\n <\/li>\n
                                                                        • \n Compare fractions between one-half & one\n <\/li>\n
                                                                        • \n Compare fractions, same numerators, denominators differ by one, denominators less than 10,000\n <\/li>\n
                                                                        • \n Compare fractions, different denominators \n <\/li>\n
                                                                        • \n Compare fractions, different denominators, visual model\n <\/li>\n
                                                                        • \n Order positive fractions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                        • \n
                                                                          \n Addition of Fractions\n <\/div>\n
                                                                            \n
                                                                          • \n Condensed: Add fractions, common denominators, including real-world context\n <\/li>\n
                                                                          • \n Add fractions, common denominators, real-world context\n <\/li>\n
                                                                          • \n Add fractions, denominators of 10 & 100\n <\/li>\n
                                                                          • \n Add fractions, one denominator multiple of other, including improper sums\n <\/li>\n
                                                                          • \n Add fractions, one denominator multiple of other, including mixed number sums\n <\/li>\n
                                                                          • \n Add fractions, different denominators, including improper sums\n <\/li>\n
                                                                          • \n Add fractions, different denominators, including mixed number sums\n <\/li>\n
                                                                          • \n Add mixed numbers, different denominators\n <\/li>\n
                                                                          • \n Add mixed numbers, different denominators, fractional sum greater than one\n <\/li>\n <\/ul>\n <\/li>\n
                                                                          • \n
                                                                            \n Subtraction of Fractions\n <\/div>\n
                                                                              \n
                                                                            • \n Subtract fractions, one denominator multiple of other, proper fraction difference\n <\/li>\n
                                                                            • \n Subtract fractions, one denominator multiple of other, including improper differences\n <\/li>\n
                                                                            • \n Subtract fractions, different denominators, positive proper differences\n <\/li>\n
                                                                            • \n Subtract fractions, different denominators, including mixed number differences\n <\/li>\n
                                                                            • \n Subtract mixed numbers, different denominators\n <\/li>\n
                                                                            • \n Subtract mixed numbers, different denominators, borrowing required\n <\/li>\n <\/ul>\n <\/li>\n
                                                                            • \n
                                                                              \n Mixed Addition & Subtraction of Fractions\n <\/div>\n
                                                                                \n
                                                                              • \n
                                                                                \n Modeling & Application of Mixed Addition & Subtraction of Fractions\n <\/div>\n
                                                                                  \n
                                                                                • \n Identify expressions that represent addition or subtraction of unreduced fractions modeled by area models\n <\/li>\n
                                                                                • \n Identify expressions that represent addition or subtraction of unreduced fractions modeled on number lines\n <\/li>\n
                                                                                • \n Condensed: Given model, determine or interpret addition & subtraction of fractions\n <\/li>\n
                                                                                • \n Add & subtract fractions, fraction strips\n <\/li>\n
                                                                                • \n Add & subtract fractions, area models\n <\/li>\n
                                                                                • \n Add & subtract fractions, number lines\n <\/li>\n
                                                                                • \n Add & subtract fractions, various models\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                • \n
                                                                                  \n Basic Mixed Addition & Subtraction of Fractions\n <\/div>\n
                                                                                    \n
                                                                                  • \n Condensed: Add or subtract fractions, common denominators, unreduced\n <\/li>\n
                                                                                  • \n Condensed: Add or subtract fractions, common denominators, real-world context\n <\/li>\n
                                                                                  • \n Condensed: Add or subtract fractions, different denominators\n <\/li>\n
                                                                                  • \n Add or subtract fractions, including estimation, real-world context\n <\/li>\n
                                                                                  • \n Add & subtract fractions, real-world context\n <\/li>\n
                                                                                  • \n Given subtraction expression of two fractions, identify expression using fourths that best estimates difference\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                  • \n
                                                                                    \n Multiplication of Fractions\n <\/div>\n
                                                                                      \n
                                                                                    • \n
                                                                                      \n Modeling Multiplication of Fractions\n <\/div>\n
                                                                                        \n
                                                                                      • \n Identify model representation of multiplication of fraction & whole number\n <\/li>\n
                                                                                      • \n Condensed: Identify models or multiply whole numbers & fractions using area models\n <\/li>\n
                                                                                      • \n Multiply whole numbers & fractions, area models\n <\/li>\n
                                                                                      • \n Multiply whole numbers & fractions, including visual models\n <\/li>\n
                                                                                      • \n Multiply mixed numbers & proper fractions, visual models, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                      • \n
                                                                                        \n Basic Multiplication of Fractions\n <\/div>\n
                                                                                          \n
                                                                                        • \n Multiply whole numbers & unit fractions, whole number first\n <\/li>\n
                                                                                        • \n Multiply whole numbers & unit fractions\n <\/li>\n
                                                                                        • \n Multiply whole numbers & fractions, positive\n <\/li>\n
                                                                                        • \n Multiply fractions, positive, mixed number directions\n <\/li>\n
                                                                                        • \n Multiply proper & improper fractions, positive\n <\/li>\n
                                                                                        • \n Multiply fractions, positive\n <\/li>\n
                                                                                        • \n Multiply mixed numbers, positive\n <\/li>\n
                                                                                        • \n Condensed: Multiply fraction & mixed numbers, including mixed signs, mixed number directions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                        • \n
                                                                                          \n Application of Multiplication of Fractions\n <\/div>\n
                                                                                            \n
                                                                                          • \n Multiply whole numbers & fractions, real-world context\n <\/li>\n
                                                                                          • \n Multiply fractions, positive, real-world context\n <\/li>\n
                                                                                          • \n Multiply mixed numbers & proper fractions, real-world context\n <\/li>\n
                                                                                          • \n Determine part of whole using fraction multiplication, including visual models, including real-world context\n <\/li>\n
                                                                                          • \n Estimate products of rational numbers, no decimals, round both factors to nearest whole number, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                          • \n
                                                                                            \n Scaling Fractions\n <\/div>\n
                                                                                              \n
                                                                                            • \n Determine whether quantities are increased or decreased when multiplied by fractions\n <\/li>\n
                                                                                            • \n Determine products & identify whether quantities are increased or decreased when multiplied by fraction\n <\/li>\n
                                                                                            • \n Compare products of fractions, mixed numbers, & whole numbers, including real-world context\n <\/li>\n
                                                                                            • \n Interpret fractional parts & fraction multiplication, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                            • \n
                                                                                              \n Division of Fractions\n <\/div>\n
                                                                                                \n
                                                                                              • \n
                                                                                                \n Reciprocals\n <\/div>\n
                                                                                                  \n
                                                                                                • \n Determine reciprocals of whole numbers or fractions\n <\/li>\n
                                                                                                • \n Determine equivalent division & multiplication expressions using reciprocals\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                • \n
                                                                                                  \n Modeling Division of Fractions\n <\/div>\n
                                                                                                    \n
                                                                                                  • \n Divide whole numbers & unit fractions, area models\n <\/li>\n
                                                                                                  • \n Divide whole numbers by unit fractions, number lines\n <\/li>\n
                                                                                                  • \n Divide whole numbers & unit fractions, fraction strips\n <\/li>\n
                                                                                                  • \n Divide whole numbers by unit fractions, models\n <\/li>\n
                                                                                                  • \n Condensed: Divide whole numbers & fractions, various models\n <\/li>\n
                                                                                                  • \n Identify division models & divide unit fractions by unit fractions\n <\/li>\n
                                                                                                  • \n Determine visual representation & fraction quotient of division problems\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                  • \n
                                                                                                    \n Basic Division of Fractions\n <\/div>\n
                                                                                                      \n
                                                                                                    • \n Determine representation of fraction as division expression\n <\/li>\n
                                                                                                    • \n Divide whole numbers by unit fractions\n <\/li>\n
                                                                                                    • \n Divide whole numbers & unit fractions\n <\/li>\n
                                                                                                    • \n Divide fractions, positive, mixed number directions\n <\/li>\n
                                                                                                    • \n Divide mixed numbers, positive\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                    • \n
                                                                                                      \n Application of Division of Fractions\n <\/div>\n
                                                                                                        \n
                                                                                                      • \n Determine fraction & mixed number equivalence of division problems, real-world context\n <\/li>\n
                                                                                                      • \n Determine or estimate quotients of whole numbers, fraction quotients\n <\/li>\n
                                                                                                      • \n Estimate & determine quotients as fraction representation of division problem\n <\/li>\n
                                                                                                      • \n Divide whole numbers & unit fractions, including unit fraction multiplication, real-world context\n <\/li>\n
                                                                                                      • \n Divide fractions & mixed numbers, positive, real-world context\n <\/li>\n
                                                                                                      • \n Divide fractions, mixed numbers, & whole numbers, multi-step, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                      • \n
                                                                                                        \n Decimals\n <\/div>\n
                                                                                                          \n
                                                                                                        • \n
                                                                                                          \n Representing Decimals\n <\/div>\n
                                                                                                            \n
                                                                                                          • \n Given tenths model, identify decimal\n <\/li>\n
                                                                                                          • \n Given hundredths model, identify decimal\n <\/li>\n
                                                                                                          • \n Given hundredths model, identify decimal as monetary amount\n <\/li>\n
                                                                                                          • \n Determine value of decimal model, including money\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                          • \n
                                                                                                            \n Comparing & Ordering Decimals\n <\/div>\n
                                                                                                              \n
                                                                                                            • \n
                                                                                                              \n Basic Comparing & Ordering Decimals\n <\/div>\n
                                                                                                                \n
                                                                                                              • \n Compare whole numbers up to 1,000,000,000\n <\/li>\n
                                                                                                              • \n Given decimals, identify locations on number line\n <\/li>\n
                                                                                                              • \n Compare decimals on number line\n <\/li>\n
                                                                                                              • \n Compare decimals up to two decimal places, including real-world context\n <\/li>\n
                                                                                                              • \n Compare decimals up to two decimal places & justify relationship, including real-world context\n <\/li>\n
                                                                                                              • \n Compare decimals written in word form, up to three decimal places\n <\/li>\n
                                                                                                              • \n Compare numbers, up to four-digit whole numbers or three-digit decimals\n <\/li>\n
                                                                                                              • \n Identify & compare rational numbers on number lines, positive\n <\/li>\n
                                                                                                              • \n Compare decimals written in word form, up to four decimal places\n <\/li>\n
                                                                                                              • \n Order positive decimals\n <\/li>\n
                                                                                                              • \n Order decimals up to 1,000,000,000\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                              • \n
                                                                                                                \n Application of Comparing & Ordering Decimals\n <\/div>\n
                                                                                                                  \n
                                                                                                                • \n Compare decimals up to two decimal places, including real-world context\n <\/li>\n
                                                                                                                • \n Compare decimals up to three decimal places\n <\/li>\n
                                                                                                                • \n Compare decimals up to three decimal places, real-world context\n <\/li>\n
                                                                                                                • \n Order decimals up to two decimal places, including real-world context\n <\/li>\n
                                                                                                                • \n Order decimals from table of place values, real-world context\n <\/li>\n
                                                                                                                • \n Order decimals up to three decimal places, including real-world context\n <\/li>\n
                                                                                                                • \n Condensed: Compare or order numbers up to 1,000,000,000\n <\/li>\n
                                                                                                                • \n Compare & order decimals up to 1,000,000,000, real-world context\n <\/li>\n
                                                                                                                • \n Compare or order positive & negative decimals, up to three decimal places\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                • \n
                                                                                                                  \n Converting Decimals\n <\/div>\n
                                                                                                                    \n
                                                                                                                  • \n Convert decimals to percents\n <\/li>\n
                                                                                                                  • \n Convert decimals to percents over 100\n <\/li>\n
                                                                                                                  • \n Given model, determine fraction & decimal equivalents, unreduced\n <\/li>\n
                                                                                                                  • \n Convert decimals to fractions\n <\/li>\n
                                                                                                                  • \n Convert decimals to fractions, real-world context\n <\/li>\n
                                                                                                                  • \n Convert decimals to mixed numbers\n <\/li>\n
                                                                                                                  • \n Convert decimals to fractions or mixed numbers\n <\/li>\n
                                                                                                                  • \n Convert decimals to fractions or mixed numbers, including repeating decimals of thirds\n <\/li>\n
                                                                                                                  • \n Convert decimals to fractions or mixed numbers, including repeating decimals\n <\/li>\n
                                                                                                                  • \n Condensed: Convert decimals to fractions & percents\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                  • \n
                                                                                                                    \n Addition of Decimals\n <\/div>\n
                                                                                                                      \n
                                                                                                                    • \n
                                                                                                                      \n Basic Addition of Decimals\n <\/div>\n
                                                                                                                        \n
                                                                                                                      • \n Add decimals, positive, up to two decimal places\n <\/li>\n
                                                                                                                      • \n Add positive decimals, up to three decimal places\n <\/li>\n
                                                                                                                      • \n Add decimals, positive, up to four decimal places\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                      • \n
                                                                                                                        \n Application of Addition of Decimals\n <\/div>\n
                                                                                                                          \n
                                                                                                                        • \n Condensed: Add decimals, positive, up to two decimal places, including real-world context\n <\/li>\n
                                                                                                                        • \n Add decimals, positive, up to two decimal places, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                        • \n
                                                                                                                          \n Subtraction of Decimals\n <\/div>\n
                                                                                                                            \n
                                                                                                                          • \n
                                                                                                                            \n Basic Subtraction of Decimals\n <\/div>\n
                                                                                                                              \n
                                                                                                                            • \n Subtract decimals, up to two decimal places\n <\/li>\n
                                                                                                                            • \n Subtract decimals, two decimal places\n <\/li>\n
                                                                                                                            • \n Subtract decimals, up to three decimal places, positive difference\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                            • \n
                                                                                                                              \n Application of Subtraction of Decimals\n <\/div>\n
                                                                                                                                \n
                                                                                                                              • \n Condensed: Subtract decimals, up to two decimal places, including real-world context\n <\/li>\n
                                                                                                                              • \n Subtract decimals, up to two decimal places, real-world context\n <\/li>\n
                                                                                                                              • \n Make change\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                              • \n
                                                                                                                                \n Addition & Subtraction of Decimals\n <\/div>\n
                                                                                                                                  \n
                                                                                                                                • \n
                                                                                                                                  \n Basic Addition & Subtraction of Decimals\n <\/div>\n
                                                                                                                                    \n
                                                                                                                                  • \n Condensed: Add & subtract decimals, up to two decimal places\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                  • \n
                                                                                                                                    \n Application of Addition & Subtraction of Decimals\n <\/div>\n
                                                                                                                                      \n
                                                                                                                                    • \n Condensed: Add & subtract decimals, up to two decimal places, including real-world context\n <\/li>\n
                                                                                                                                    • \n Add & subtract decimals, up to two decimal places, real-world context\n <\/li>\n
                                                                                                                                    • \n Condensed: Add & subtract decimals, up to two decimal places, real-world context\n <\/li>\n
                                                                                                                                    • \n Add & subtract decimals, up to three decimal places, real-world context\n <\/li>\n
                                                                                                                                    • \n Add or subtract whole numbers or decimals, real-world context\n <\/li>\n
                                                                                                                                    • \n Condensed: Add & subtract rational numbers, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                    • \n
                                                                                                                                      \n Multiplication of Decimals\n <\/div>\n
                                                                                                                                        \n
                                                                                                                                      • \n
                                                                                                                                        \n Application & Modeling of Multiplication of Decimals\n <\/div>\n
                                                                                                                                          \n
                                                                                                                                        • \n Determine equivalence between area models & multiplication equations\n <\/li>\n
                                                                                                                                        • \n Determine equivalence between base-10 models & multiplication equations\n <\/li>\n
                                                                                                                                        • \n Determine equivalence between number line models & multiplication equations\n <\/li>\n
                                                                                                                                        • \n Condensed: Determine equivalence between models & multiplication equations\n <\/li>\n
                                                                                                                                        • \n Multiply decimals, products limited to two decimal places, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                        • \n
                                                                                                                                          \n Basic Multiplication of Decimals\n <\/div>\n
                                                                                                                                            \n
                                                                                                                                          • \n Multiply decimals times one-digit whole numbers\n <\/li>\n
                                                                                                                                          • \n Multiply decimals, products limited to two decimal places\n <\/li>\n
                                                                                                                                          • \n Multiply positive decimals, each factor up to two decimal places, factors up to 10 after decimal shift\n <\/li>\n
                                                                                                                                          • \n Multiply positive decimals, each factor up to two decimal places, factors up to 20\n <\/li>\n
                                                                                                                                          • \n Multiply positive decimals, each factor up to two decimal places\n <\/li>\n
                                                                                                                                          • \n Multiply positive decimals, each factor up to three decimal places\n <\/li>\n
                                                                                                                                          • \n Condensed: Multiply decimals\n <\/li>\n
                                                                                                                                          • \n Multiply three positive decimals, products limited to three decimal places\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                          • \n
                                                                                                                                            \n Division of Decimals\n <\/div>\n
                                                                                                                                              \n
                                                                                                                                            • \n
                                                                                                                                              \n Application & Modeling of Division of Decimals\n <\/div>\n
                                                                                                                                                \n
                                                                                                                                              • \n Identify expressions & equations representing multiplication & division of rational numbers\n <\/li>\n
                                                                                                                                              • \n Identify base-10 model that represents quotient of decimal division\n <\/li>\n
                                                                                                                                              • \n Determine equivalence of base-10 model & components of decimal division\n <\/li>\n
                                                                                                                                              • \n Determine equivalence of base-10 model & components of decimal division, quotient limited to tenths\n <\/li>\n
                                                                                                                                              • \n Given area model representing decimal division, interpret model & determine quotient, including real-world context\n <\/li>\n
                                                                                                                                              • \n Given number line model representing decimal division, interpret model & determine quotient, including real-world context\n <\/li>\n
                                                                                                                                              • \n Given model representing decimal division, interpret model & determine quotient, including money\n <\/li>\n
                                                                                                                                              • \n Condensed: Given model representing decimal division, interpret model & determine quotient, including real-world context\n <\/li>\n
                                                                                                                                              • \n Divide decimals, up to three decimal places, real-world context\n <\/li>\n
                                                                                                                                              • \n Divide four-digit dividends by two-digit whole number divisors, including real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                              • \n
                                                                                                                                                \n Basic Division of Decimals\n <\/div>\n
                                                                                                                                                  \n
                                                                                                                                                • \n Divide whole numbers by decimals, up to two decimal places, integer quotients\n <\/li>\n
                                                                                                                                                • \n Divide decimals by whole numbers, up to two decimal places\n <\/li>\n
                                                                                                                                                • \n Divide decimals, up to two decimal places in quotients\n <\/li>\n
                                                                                                                                                • \n Divide decimals, up to three decimal places in dividend & divisor\n <\/li>\n
                                                                                                                                                • \n Divide decimals, up to three decimal places\n <\/li>\n
                                                                                                                                                • \n Divide four-digit dividends by two-digit whole number divisors\n <\/li>\n
                                                                                                                                                • \n Condensed: Divide decimals or whole numbers\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                • \n
                                                                                                                                                  \n Mixed Operations with Decimals\n <\/div>\n
                                                                                                                                                    \n
                                                                                                                                                  • \n Condensed: Solve problems with decimal & whole numbers, real-world context\n <\/li>\n
                                                                                                                                                  • \n Condensed: Add, subtract, multiply, & divide decimals, up to two decimal places\n <\/li>\n
                                                                                                                                                  • \n Solve multi-step problems with rational numbers, including percents, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                  • \n
                                                                                                                                                    \n Rounding & Estimating Decimals\n <\/div>\n
                                                                                                                                                      \n
                                                                                                                                                    • \n
                                                                                                                                                      \n Basic Rounding & Estimating Decimals\n <\/div>\n
                                                                                                                                                        \n
                                                                                                                                                      • \n Round decimal numbers to nearest whole, tenth, & hundredth\n <\/li>\n
                                                                                                                                                      • \n Round decimal numbers to nearest whole, tenth, hundredth, & thousandth\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                      • \n
                                                                                                                                                        \n Application of Rounding & Estimating Decimals\n <\/div>\n
                                                                                                                                                          \n
                                                                                                                                                        • \n Round numbers to nearest whole, ten, hundred, & thousand, real-world context\n <\/li>\n
                                                                                                                                                        • \n Round decimal numbers to nearest tenth & hundredth, including real-world context\n <\/li>\n
                                                                                                                                                        • \n Round decimal numbers to nearest tenth & hundredth, real-world context\n <\/li>\n
                                                                                                                                                        • \n Round decimal numbers to nearest tenth, hundredth, & thousandth, real-world context\n <\/li>\n
                                                                                                                                                        • \n Round decimal numbers to nearest whole, tenth, hundredth, & thousandth, including real-world context\n <\/li>\n
                                                                                                                                                        • \n Round decimal & whole numbers to specified place value\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                        • \n
                                                                                                                                                          \n Rounding & Operations with Decimals\n <\/div>\n
                                                                                                                                                            \n
                                                                                                                                                          • \n Round decimal numbers to nearest whole, tenth, & hundredth, real-world context\n <\/li>\n
                                                                                                                                                          • \n Condensed: Round decimal numbers to nearest whole, tenth, & hundredth, including real-world context\n <\/li>\n
                                                                                                                                                          • \n Estimate sum by rounding addends to nearest whole number, up to two decimal places\n <\/li>\n
                                                                                                                                                          • \n Estimate differences of decimals by rounding to nearest whole number\n <\/li>\n
                                                                                                                                                          • \n Condensed: Estimate sum or difference by rounding addends, minuend, & subtrahend, up to two decimal places\n <\/li>\n
                                                                                                                                                          • \n Estimate quotients of decimals & whole numbers using compatible numbers\n <\/li>\n
                                                                                                                                                          • \n Estimate solutions involving all operations, real-world context\n <\/li>\n
                                                                                                                                                          • \n Determine sums & differences of decimals then round solution, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                          • \n
                                                                                                                                                            \n Integers\n <\/div>\n
                                                                                                                                                              \n
                                                                                                                                                            • \n
                                                                                                                                                              \n Classifying Numbers\n <\/div>\n
                                                                                                                                                                \n
                                                                                                                                                              • \n Classify rational numbers by definitions\n <\/li>\n
                                                                                                                                                              • \n Classify rational numbers using graphic organizers\n <\/li>\n
                                                                                                                                                              • \n Classify rational numbers, including graphic organizers\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                              • \n
                                                                                                                                                                \n Absolute Value & Opposites\n <\/div>\n
                                                                                                                                                                  \n
                                                                                                                                                                • \n Determine opposites of numbers\n <\/li>\n
                                                                                                                                                                • \n Identify opposite integers on number line\n <\/li>\n
                                                                                                                                                                • \n Add opposite integers, up to two digits\n <\/li>\n
                                                                                                                                                                • \n Identify situations represented by positive & negative numbers, real-world context\n <\/li>\n
                                                                                                                                                                • \n Determine representations of quantities using positive & negative numbers, real-world context\n <\/li>\n
                                                                                                                                                                • \n Determine change, opposite integers, real-world context\n <\/li>\n
                                                                                                                                                                • \n Determine absolute value of integers\n <\/li>\n
                                                                                                                                                                • \n Determine absolute value of integers, including real-world context\n <\/li>\n
                                                                                                                                                                • \n Determine absolute value of rational numbers\n <\/li>\n
                                                                                                                                                                • \n Determine absolute value of numeric expression\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                • \n
                                                                                                                                                                  \n Comparing Integers\n <\/div>\n
                                                                                                                                                                    \n
                                                                                                                                                                  • \n Compare two positive integers\n <\/li>\n
                                                                                                                                                                  • \n Compare two integers, one positive & one negative\n <\/li>\n
                                                                                                                                                                  • \n Compare two negative integers\n <\/li>\n
                                                                                                                                                                  • \n Interpret inequalities as statements about position\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                  • \n
                                                                                                                                                                    \n Addition of Integers\n <\/div>\n
                                                                                                                                                                      \n
                                                                                                                                                                    • \n
                                                                                                                                                                      \n Modeling Addition of Integers\n <\/div>\n
                                                                                                                                                                        \n
                                                                                                                                                                      • \n Determine number represented by counters\n <\/li>\n
                                                                                                                                                                      • \n Add integers using counters\n <\/li>\n
                                                                                                                                                                      • \n Classify sum of integers on number line\n <\/li>\n
                                                                                                                                                                      • \n Given number line model, determine or interpret integer sum expression, same signs\n <\/li>\n
                                                                                                                                                                      • \n Given number line model, determine or interpret integer sum expression, mixed signs\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                      • \n
                                                                                                                                                                        \n Basic Addition of Integers\n <\/div>\n
                                                                                                                                                                          \n
                                                                                                                                                                        • \n Add opposite integers\n <\/li>\n
                                                                                                                                                                        • \n Add opposite integers, up to two digits\n <\/li>\n
                                                                                                                                                                        • \n Add integers with same sign, start one digit & advance to two digits\n <\/li>\n
                                                                                                                                                                        • \n Add integers, one digit\n <\/li>\n
                                                                                                                                                                        • \n Add integers, positive sum\n <\/li>\n
                                                                                                                                                                        • \n Add integers, negative sum\n <\/li>\n
                                                                                                                                                                        • \n Add integers, start one digit & advance to two digits\n <\/li>\n
                                                                                                                                                                        • \n Add negative integers\n <\/li>\n
                                                                                                                                                                        • \n Add integers, up to two digits, positive sum\n <\/li>\n
                                                                                                                                                                        • \n Add integers, up to two digits, negative sum\n <\/li>\n
                                                                                                                                                                        • \n Add negative integers, up to two digits\n <\/li>\n
                                                                                                                                                                        • \n Condensed: Add positive & negative integers\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                        • \n
                                                                                                                                                                          \n Application of Addition of Integers\n <\/div>\n
                                                                                                                                                                            \n
                                                                                                                                                                          • \n Add integers with same sign, up to three digits, real-world context\n <\/li>\n
                                                                                                                                                                          • \n Add integers, up to three digits, real-world context\n <\/li>\n
                                                                                                                                                                          • \n Given model or table, add integers, real-world context\n <\/li>\n
                                                                                                                                                                          • \n Condensed: Add integers, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                          • \n
                                                                                                                                                                            \n Subtraction of Integers\n <\/div>\n
                                                                                                                                                                              \n
                                                                                                                                                                            • \n
                                                                                                                                                                              \n Modeling Subtraction of Integers\n <\/div>\n
                                                                                                                                                                                \n
                                                                                                                                                                              • \n Subtract integers using counters\n <\/li>\n
                                                                                                                                                                              • \n Given variables on number line, classify difference\n <\/li>\n
                                                                                                                                                                              • \n Subtract integers on number line, same signs\n <\/li>\n
                                                                                                                                                                              • \n Subtract integers on number line, mixed signs\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                              • \n
                                                                                                                                                                                \n Basic Subtraction of Integers, Positive Difference\n <\/div>\n
                                                                                                                                                                                  \n
                                                                                                                                                                                • \n Subtract integers, positive difference\n <\/li>\n
                                                                                                                                                                                • \n Subtract negative integers, positive difference\n <\/li>\n
                                                                                                                                                                                • \n Subtract negative integers, up to two digits, positive difference\n <\/li>\n
                                                                                                                                                                                • \n Subtract integers, opposite signs, up to two digits, positive difference\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                • \n
                                                                                                                                                                                  \n Basic Subtraction of Integers, Negative Difference\n <\/div>\n
                                                                                                                                                                                    \n
                                                                                                                                                                                  • \n Subtract integers, negative difference\n <\/li>\n
                                                                                                                                                                                  • \n Subtract positive integers, negative difference\n <\/li>\n
                                                                                                                                                                                  • \n Subtract negative integers, negative difference\n <\/li>\n
                                                                                                                                                                                  • \n Subtract positive integers, up to two digits, negative difference\n <\/li>\n
                                                                                                                                                                                  • \n Subtract negative integers, up to two digits, negative difference\n <\/li>\n
                                                                                                                                                                                  • \n Subtract integers, opposite signs, up to two digits, negative difference\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                  • \n
                                                                                                                                                                                    \n Basic Subtraction of Integers, Mixed Differences\n <\/div>\n
                                                                                                                                                                                      \n
                                                                                                                                                                                    • \n Rewrite subtraction as addition & evaluate expression \n <\/li>\n
                                                                                                                                                                                    • \n Subtract positive integers, one-digit & one-digit\n <\/li>\n
                                                                                                                                                                                    • \n Subtract integers, various signs\n <\/li>\n
                                                                                                                                                                                    • \n Condensed: Subtract integers, various signs, up to two digits\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                    • \n
                                                                                                                                                                                      \n Application of Subtraction of Integers\n <\/div>\n
                                                                                                                                                                                        \n
                                                                                                                                                                                      • \n Determine differences between integers, same signs, real-world context\n <\/li>\n
                                                                                                                                                                                      • \n Determine differences between integers, mixed signs, real-world context\n <\/li>\n
                                                                                                                                                                                      • \n Determine differences between integers, various signs, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                      • \n
                                                                                                                                                                                        \n Multiplication of Integers\n <\/div>\n
                                                                                                                                                                                          \n
                                                                                                                                                                                        • \n
                                                                                                                                                                                          \n Modeling Multiplication of Integers\n <\/div>\n
                                                                                                                                                                                            \n
                                                                                                                                                                                          • \n Multiply integers using counters\n <\/li>\n
                                                                                                                                                                                          • \n Multiply positive integers using number line models, includes negatives shown on number line\n <\/li>\n
                                                                                                                                                                                          • \n Multiply positive integers times negative integers using number line models\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                          • \n
                                                                                                                                                                                            \n Basic Multiplication of Integers\n <\/div>\n
                                                                                                                                                                                              \n
                                                                                                                                                                                            • \n Multiply negative integers\n <\/li>\n
                                                                                                                                                                                            • \n Multiply integers, opposite signs\n <\/li>\n
                                                                                                                                                                                            • \n Multiply integers, start one digit & advance to two digits\n <\/li>\n
                                                                                                                                                                                            • \n Multiply negative integers, two-digit times two-digit\n <\/li>\n
                                                                                                                                                                                            • \n Multiply integers, opposite signs, two-digit times two-digit\n <\/li>\n
                                                                                                                                                                                            • \n Multiply negative integers, two-digit times two- or three-digit\n <\/li>\n
                                                                                                                                                                                            • \n Multiply integers, opposite signs, two-digit times two- or three-digit\n <\/li>\n
                                                                                                                                                                                            • \n Multiply three integers\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                            • \n
                                                                                                                                                                                              \n Application of Multiplication of Integers\n <\/div>\n
                                                                                                                                                                                                \n
                                                                                                                                                                                              • \n Multiply positive integers, real-world context\n <\/li>\n
                                                                                                                                                                                              • \n Multiply integers, mixed signs, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                              • \n
                                                                                                                                                                                                \n Division of Integers\n <\/div>\n
                                                                                                                                                                                                  \n
                                                                                                                                                                                                • \n
                                                                                                                                                                                                  \n Modeling Division of Integers\n <\/div>\n
                                                                                                                                                                                                    \n
                                                                                                                                                                                                  • \n Divide integers using counters\n <\/li>\n
                                                                                                                                                                                                  • \n Divide integers, both positive, up to two-digit dividend, number line model\n <\/li>\n
                                                                                                                                                                                                  • \n Divide integers, opposite signs, up to two-digit dividend, number line model\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                  • \n
                                                                                                                                                                                                    \n Basic Division of Integers\n <\/div>\n
                                                                                                                                                                                                      \n
                                                                                                                                                                                                    • \n Divide integers, one or both negative, start one-digit, advance up to three-digits\n <\/li>\n
                                                                                                                                                                                                    • \n Divide integers, one or both negative, start one-digit, advance up to three-digits, includes undefined\n <\/li>\n
                                                                                                                                                                                                    • \n Divide integers, both negative, up to three-digit dividend, up to two-digit divisor\n <\/li>\n
                                                                                                                                                                                                    • \n Divide integers, opposite signs, up to three-digit dividend, up to two-digit divisor\n <\/li>\n
                                                                                                                                                                                                    • \n Divide integers, both negative, up to five-digit dividend, up to two-digit divisor\n <\/li>\n
                                                                                                                                                                                                    • \n Divide integers, opposite signs, up to five-digit dividend, up to two-digit divisor\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                    • \n
                                                                                                                                                                                                      \n Application of Division of Integers\n <\/div>\n
                                                                                                                                                                                                        \n
                                                                                                                                                                                                      • \n Divide integers, same signs, real-world context\n <\/li>\n
                                                                                                                                                                                                      • \n Divide integers, opposite signs, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                      • \n
                                                                                                                                                                                                        \n Mixed Operations of Integers\n <\/div>\n
                                                                                                                                                                                                          \n
                                                                                                                                                                                                        • \n Determine number of zero pairs or evaluate expressions using counters\n <\/li>\n
                                                                                                                                                                                                        • \n Estimate sums & differences of integers using front-end rounding\n <\/li>\n
                                                                                                                                                                                                        • \n Condensed: Add or subtract integers using counters\n <\/li>\n
                                                                                                                                                                                                        • \n Condensed: Multiply & divide integers\n <\/li>\n
                                                                                                                                                                                                        • \n Condensed: Add, subtract, multiply, & divide integers\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                        • \n
                                                                                                                                                                                                          \n Percents\n <\/div>\n
                                                                                                                                                                                                            \n
                                                                                                                                                                                                          • \n
                                                                                                                                                                                                            \n Representing Percents\n <\/div>\n
                                                                                                                                                                                                              \n
                                                                                                                                                                                                            • \n Identify percents, decimal grids\n <\/li>\n
                                                                                                                                                                                                            • \n Identify percents, strip diagrams, real-world context\n <\/li>\n
                                                                                                                                                                                                            • \n Identify percents, area models\n <\/li>\n
                                                                                                                                                                                                            • \n Determine percents & specified quantities, double number lines, real-world context\n <\/li>\n
                                                                                                                                                                                                            • \n Condensed: Determine ratios & percents, decimal grids\n <\/li>\n
                                                                                                                                                                                                            • \n Condensed: Determine ratios & percents, strip diagrams, real-world context\n <\/li>\n
                                                                                                                                                                                                            • \n Condensed: Determine ratios & percents, various models\n <\/li>\n
                                                                                                                                                                                                            • \n Condensed: Determine ratios & percents, double number lines, including real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                            • \n
                                                                                                                                                                                                              \n Converting Percents\n <\/div>\n
                                                                                                                                                                                                                \n
                                                                                                                                                                                                              • \n Convert percents to decimals\n <\/li>\n
                                                                                                                                                                                                              • \n Convert decimal percents to decimals\n <\/li>\n
                                                                                                                                                                                                              • \n Convert decimal percents less than one to decimals\n <\/li>\n
                                                                                                                                                                                                              • \n Convert percents to fractions \n <\/li>\n
                                                                                                                                                                                                              • \n Convert percents to fractions, real-world context\n <\/li>\n
                                                                                                                                                                                                              • \n Convert percents to mixed numbers\n <\/li>\n
                                                                                                                                                                                                              • \n Condensed: Convert percents to decimals & fractions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                \n Finding Tip, Tax, Markup, Markdown, & Commission\n <\/div>\n
                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                • \n Given percent, identify table that shows percent\n <\/li>\n
                                                                                                                                                                                                                • \n Determine tips\n <\/li>\n
                                                                                                                                                                                                                • \n Determine tax\n <\/li>\n
                                                                                                                                                                                                                • \n Determine markups\n <\/li>\n
                                                                                                                                                                                                                • \n Determine increases involving tips, tax, & markups\n <\/li>\n
                                                                                                                                                                                                                • \n Determine commissions\n <\/li>\n
                                                                                                                                                                                                                • \n Determine income tax for earned wages\n <\/li>\n
                                                                                                                                                                                                                • \n Determine discount, tax, or total cost\n <\/li>\n
                                                                                                                                                                                                                • \n Determine decreases involving sales, discounts, & markdowns\n <\/li>\n
                                                                                                                                                                                                                • \n Condensed: Determine tip, tax, discount, or markup\n <\/li>\n
                                                                                                                                                                                                                • \n Determine & compare savings from sales, rebates, & coupons\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                  \n Finding Total, Part, or Percent of a Number\n <\/div>\n
                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                  • \n Given model, determine & identify fractions, decimals, & percents\n <\/li>\n
                                                                                                                                                                                                                  • \n Given percent & whole, determine part, whole number answers\n <\/li>\n
                                                                                                                                                                                                                  • \n Given percent & whole, determine part, exact answers\n <\/li>\n
                                                                                                                                                                                                                  • \n Given percent & whole, determine rounded part\n <\/li>\n
                                                                                                                                                                                                                  • \n Given percent & whole, determine part, real-world context\n <\/li>\n
                                                                                                                                                                                                                  • \n Given part & percent, determine whole, exact answers\n <\/li>\n
                                                                                                                                                                                                                  • \n Given part & percent, determine whole\n <\/li>\n
                                                                                                                                                                                                                  • \n Given part & percent, determine whole, real-world context\n <\/li>\n
                                                                                                                                                                                                                  • \n Given part & whole, determine percent\n <\/li>\n
                                                                                                                                                                                                                  • \n Given part & whole, determine percent, real-world context\n <\/li>\n
                                                                                                                                                                                                                  • \n Determine specified values in tables involving percents\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                    \n Finding Percent of Change\n <\/div>\n
                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                    • \n Determine percent of change, whole numbers, including real-world context\n <\/li>\n
                                                                                                                                                                                                                    • \n Determine percent of change, including real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                      \n Calculating Simple Interest\n <\/div>\n
                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                      • \n Determine simple interest\n <\/li>\n
                                                                                                                                                                                                                      • \n Determine simple interest & total amount\n <\/li>\n
                                                                                                                                                                                                                      • \n Given simple interest earned, determine principal, rate, or time\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                        \n Fractions, Decimals, & Percents Combined\n <\/div>\n
                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                          \n Comparing & Ordering Fractions & Decimals Combined\n <\/div>\n
                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                          • \n Condensed: Order positive decimals & fractions\n <\/li>\n
                                                                                                                                                                                                                          • \n Order positive rational numbers, no radicals, no exponents\n <\/li>\n
                                                                                                                                                                                                                          • \n Given set or list, order rational numbers, real-world context\n <\/li>\n
                                                                                                                                                                                                                          • \n Given table, order rational numbers, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                            \n Fraction, Decimal, & Percent Conversions\n <\/div>\n
                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                            • \n Identify part of whole, real-world context\n <\/li>\n
                                                                                                                                                                                                                            • \n Given model, determine & identify fractions, decimals, & percents\n <\/li>\n
                                                                                                                                                                                                                            • \n Condensed: Convert proper & improper fractions to rounded percents\n <\/li>\n
                                                                                                                                                                                                                            • \n Condensed: Convert fractions to decimals & percents\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                              \n Basic Fractions & Decimals Combined\n <\/div>\n
                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                              • \n Multiply decimals times fractions, both positive\n <\/li>\n
                                                                                                                                                                                                                              • \n Multiply fractions times decimals, both positive\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                \n Application of Fractions & Decimals Combined\n <\/div>\n
                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                • \n Multiply decimals & fractions, real-world context\n <\/li>\n
                                                                                                                                                                                                                                • \n Add or subtract whole numbers, fractions, or decimals, real-world context\n <\/li>\n
                                                                                                                                                                                                                                • \n Condensed: Add & subtract rational numbers, real-world context\n <\/li>\n
                                                                                                                                                                                                                                • \n Solve multi-step problems with rational numbers, including percents, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                  \n Ratios, Rates, & Proportions\n <\/div>\n
                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                    \n Ratios\n <\/div>\n
                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                      \n Basic Representing Ratios\n <\/div>\n
                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                      • \n Determine part to part ratio, decimal grids\n <\/li>\n
                                                                                                                                                                                                                                      • \n Determine part to whole ratio, decimal grids\n <\/li>\n
                                                                                                                                                                                                                                      • \n Condensed: Determine ratios & percents, decimal grids\n <\/li>\n
                                                                                                                                                                                                                                      • \n Determine part to part ratio, various models\n <\/li>\n
                                                                                                                                                                                                                                      • \n Determine part to whole ratio, various models\n <\/li>\n
                                                                                                                                                                                                                                      • \n Condensed: Determine ratios & percents, various models\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                        \n Representing Ratios Real-World\n <\/div>\n
                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                        • \n Given part & percent, identify model & determine whole, real-world context\n <\/li>\n
                                                                                                                                                                                                                                        • \n Given double number line model, determine percent or specified quantity, real-world context\n <\/li>\n
                                                                                                                                                                                                                                        • \n Determine part to part ratio, strip diagrams, real-world context\n <\/li>\n
                                                                                                                                                                                                                                        • \n Determine part to whole ratio, strip diagrams, real-world context\n <\/li>\n
                                                                                                                                                                                                                                        • \n Condensed: Determine ratios & percents, strip diagrams, real-world context\n <\/li>\n
                                                                                                                                                                                                                                        • \n Determine part to part ratio, including double number lines, including real-world context\n <\/li>\n
                                                                                                                                                                                                                                        • \n Determine part to whole ratio, double number lines, real-world context\n <\/li>\n
                                                                                                                                                                                                                                        • \n Condensed: Determine ratios & percents, double number lines, including real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                          \n Basic Ratios\n <\/div>\n
                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                          • \n Rewrite ratios\n <\/li>\n
                                                                                                                                                                                                                                          • \n Given ratio, determine reduced form\n <\/li>\n
                                                                                                                                                                                                                                          • \n Identify equivalent ratios or determine missing component of proportion\n <\/li>\n
                                                                                                                                                                                                                                          • \n Given table, determine ratios, integers\n <\/li>\n
                                                                                                                                                                                                                                          • \n Determine ratios, various forms, real-world context\n <\/li>\n
                                                                                                                                                                                                                                          • \n Determine ratios, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                            \n Application of Ratios\n <\/div>\n
                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                            • \n Given ratio, determine relationship between ratio terms, real-world context\n <\/li>\n
                                                                                                                                                                                                                                            • \n Interpret & apply ratios\n <\/li>\n
                                                                                                                                                                                                                                            • \n Given proportional relationship as ratio, determine specified quantity, real-world context\n <\/li>\n
                                                                                                                                                                                                                                            • \n Determine specified quantity in proportional relationship, including mixed numbers, real-world context\n <\/li>\n
                                                                                                                                                                                                                                            • \n Condensed: Determine ratios, relationship between ratio terms, & specified quantities, real-world context\n <\/li>\n
                                                                                                                                                                                                                                            • \n Given ratios a : b & b : c, determine a : c, real-world context\n <\/li>\n
                                                                                                                                                                                                                                            • \n Given ratios a : b & b : c, determine specified quantity, real-world context\n <\/li>\n
                                                                                                                                                                                                                                            • \n Condensed: Given extended ratio, determine ratio or specified quantity, real-world context\n <\/li>\n
                                                                                                                                                                                                                                            • \n Given proportional relationship & extended ratio, determine specified quantity, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                              \n Rates\n <\/div>\n
                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                \n Basic Unit Rates\n <\/div>\n
                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                • \n Identify unit rates\n <\/li>\n
                                                                                                                                                                                                                                                • \n Determine unit rates, ratio tables, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                • \n Determine unit rates, strip diagrams, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                • \n Given double number line, determine unit rate, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                • \n Identify measurement conversion unit rates\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                  \n Application of Rates\n <\/div>\n
                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                  • \n Determine unit rates, whole numbers, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                  • \n Determine unit rates, fractions, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                  • \n Determine unit rates, mixed numbers, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                  • \n Condensed: Determine or apply unit rates, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                  • \n Determine & compare unit rates, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                  • \n Given proportional relationship, determine specified quantity, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                  • \n Given rate, convert time unit to determine quantity over time interval, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                  • \n Given rate of travel, determine distance or time\n <\/li>\n
                                                                                                                                                                                                                                                  • \n Given unit conversion rate, convert measurement units\n <\/li>\n
                                                                                                                                                                                                                                                  • \n Identify measurement conversion rates\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                    \n Proportions\n <\/div>\n
                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                    • \n Solve proportions, whole numbers\n <\/li>\n
                                                                                                                                                                                                                                                    • \n Solve proportions\n <\/li>\n
                                                                                                                                                                                                                                                    • \n Solve proportions, mixed number components\n <\/li>\n
                                                                                                                                                                                                                                                    • \n Solve proportions to convert measurement units\n <\/li>\n
                                                                                                                                                                                                                                                    • \n Solve proportions, exact answers, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                    • \n Solve proportions, rounded answers, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                    • \n Compare rates or determine specified values in proportional relationships, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                      \n Number Lines\n <\/div>\n
                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                        \n Number Lines, Only Positives\n <\/div>\n
                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                        • \n Given range & increment, identify blank number line\n <\/li>\n
                                                                                                                                                                                                                                                        • \n Identify decimals on number lines, positive\n <\/li>\n
                                                                                                                                                                                                                                                        • \n Identify decimals on number lines, vertical number lines, positive\n <\/li>\n
                                                                                                                                                                                                                                                        • \n Identify or plot decimals on number lines, increment 0.5\n <\/li>\n
                                                                                                                                                                                                                                                        • \n Identify or plot decimals on number lines, increment 0.2\n <\/li>\n
                                                                                                                                                                                                                                                        • \n Condensed: Identify or plot decimals on number lines\n <\/li>\n
                                                                                                                                                                                                                                                        • \n Plot or locate percents on number line\n <\/li>\n
                                                                                                                                                                                                                                                        • \n Identify or plot fractions or determine lengths on number line\n <\/li>\n
                                                                                                                                                                                                                                                        • \n Determine location of rational numbers on number line\n <\/li>\n
                                                                                                                                                                                                                                                        • \n Determine location of rational numbers on number line, including negatives\n <\/li>\n
                                                                                                                                                                                                                                                        • \n Condensed: Identify or plot decimals or fractions on number lines\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                          \n Number Lines, Including Negatives\n <\/div>\n
                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                          • \n Identify integers on number lines, negative\n <\/li>\n
                                                                                                                                                                                                                                                          • \n Identify rational numbers on number lines, negative \n <\/li>\n
                                                                                                                                                                                                                                                          • \n Identify rational numbers on number lines, vertical number lines\n <\/li>\n
                                                                                                                                                                                                                                                          • \n Identify rational numbers on number lines, negative, vertical number lines\n <\/li>\n
                                                                                                                                                                                                                                                          • \n Condensed: Identify rational numbers on number lines, vertical\n <\/li>\n
                                                                                                                                                                                                                                                          • \n Condensed: Identify rational numbers on number lines, including vertical number lines\n <\/li>\n
                                                                                                                                                                                                                                                          • \n Identify or determine rational values on number line, vertical number lines\n <\/li>\n
                                                                                                                                                                                                                                                          • \n Plot rational numbers on number lines, negative\n <\/li>\n
                                                                                                                                                                                                                                                          • \n Identify or plot rational numbers on number lines & interpret, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                          • \n Condensed: Identify or plot rational numbers on number lines\n <\/li>\n
                                                                                                                                                                                                                                                          • \n Identify & compare rational numbers on number lines\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                            \n Number Theory\n <\/div>\n
                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                              \n Prime & Composite Numbers\n <\/div>\n
                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                              • \n Identify prime & composite numbers\n <\/li>\n
                                                                                                                                                                                                                                                              • \n Identify prime & composite numbers, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                \n Factors & Multiples\n <\/div>\n
                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                • \n Identify factors or non-factors of whole numbers\n <\/li>\n
                                                                                                                                                                                                                                                                • \n Identify multiples or non-multiples of whole numbers\n <\/li>\n
                                                                                                                                                                                                                                                                • \n Identify factors or multiples of whole numbers\n <\/li>\n
                                                                                                                                                                                                                                                                • \n Condensed: Identify factors, non-factors, multiples, & non-multiples of whole numbers\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                  \n Prime Factorization\n <\/div>\n
                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                  • \n Determine prime factorization of numbers up to 50\n <\/li>\n
                                                                                                                                                                                                                                                                  • \n Determine prime factorization of numbers up to 100\n <\/li>\n
                                                                                                                                                                                                                                                                  • \n Identify or complete prime factorization of numbers up to 144\n <\/li>\n
                                                                                                                                                                                                                                                                  • \n Identify equivalent expressions involving prime factorization\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                    \n Greatest Common Factors\n <\/div>\n
                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                    • \n Determine GCF of two numbers up to 100\n <\/li>\n
                                                                                                                                                                                                                                                                    • \n Determine GCF of two numbers up to 100 or multiples of 10\n <\/li>\n
                                                                                                                                                                                                                                                                    • \n Determine GCFs, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                    • \n Apply GCFs to determine number of items in groups, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                      \n Least Common Multiples\n <\/div>\n
                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                      • \n Determine LCM of two numbers up to 100\n <\/li>\n
                                                                                                                                                                                                                                                                      • \n Determine LCM of two numbers up to 100 or multiples of 10\n <\/li>\n
                                                                                                                                                                                                                                                                      • \n Determine LCMs, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                      • \n Apply LCMs to determine number of items in groups, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                        \n Greatest Common Factors & Least Common Multiples\n <\/div>\n
                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                        • \n Condensed: Determine GCF or LCM of two numbers up to 100 or multiples of 10\n <\/li>\n
                                                                                                                                                                                                                                                                        • \n Condensed: Determine GCFs & LCMs, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                        • \n Condensed: Apply GCFs & LCMs to determine number of items in groups, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                          \n Expressions\n <\/div>\n
                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                            \n Expression Vocabulary\n <\/div>\n
                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                            • \n Determine definitions of coefficient, fill in the blank\n <\/li>\n
                                                                                                                                                                                                                                                                            • \n Determine definitions of constant, fill in the blank\n <\/li>\n
                                                                                                                                                                                                                                                                            • \n Determine definitions of variable, fill in the blank\n <\/li>\n
                                                                                                                                                                                                                                                                            • \n Determine definitions of term, fill in the blank\n <\/li>\n
                                                                                                                                                                                                                                                                            • \n Determine definitions of expression, fill in the blank\n <\/li>\n
                                                                                                                                                                                                                                                                            • \n Determine definitions of evaluate, fill in the blank\n <\/li>\n
                                                                                                                                                                                                                                                                            • \n Determine definitions of operation, fill in the blank\n <\/li>\n
                                                                                                                                                                                                                                                                            • \n Determine definitions of arithmetic vocabulary, fill in the blank\n <\/li>\n
                                                                                                                                                                                                                                                                            • \n Determine definitions of relationship vocabulary, fill in the blank\n <\/li>\n
                                                                                                                                                                                                                                                                            • \n Identify parts of expressions\n <\/li>\n
                                                                                                                                                                                                                                                                            • \n Identify multiple parts of expressions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                              \n Whole Number Exponents\n <\/div>\n
                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                              • \n Convert expanded numerical expressions to exponential form\n <\/li>\n
                                                                                                                                                                                                                                                                              • \n Convert exponential numerical expressions to expanded form\n <\/li>\n
                                                                                                                                                                                                                                                                              • \n Convert descriptions of numerical exponential expressions to exponential form\n <\/li>\n
                                                                                                                                                                                                                                                                              • \n Determine components & properties of whole-number exponents\n <\/li>\n
                                                                                                                                                                                                                                                                              • \n Square positive integers up to 10\n <\/li>\n
                                                                                                                                                                                                                                                                              • \n Simplify or evaluate numerical exponential expressions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                \n Translating Expressions\n <\/div>\n
                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                • \n Identify words or phrases that indicate specified operation or comparison\n <\/li>\n
                                                                                                                                                                                                                                                                                • \n Determine algebraic expressions that represent real-world situations\n <\/li>\n
                                                                                                                                                                                                                                                                                • \n Given phrase, determine one-step algebraic expression\n <\/li>\n
                                                                                                                                                                                                                                                                                • \n Interpret numerical expressions\n <\/li>\n
                                                                                                                                                                                                                                                                                • \n Identify equivalent multi-step algebraic expressions & phrases\n <\/li>\n
                                                                                                                                                                                                                                                                                • \n Given phrase, determine multi-step algebraic expression\n <\/li>\n
                                                                                                                                                                                                                                                                                • \n Given phrase, determine & evaluate multi-step algebraic expression\n <\/li>\n
                                                                                                                                                                                                                                                                                • \n Determine algebraic expressions that represent real-world situations, including two-variable expressions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                  \n Equivalent Expressions\n <\/div>\n
                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                  • \n Identify equivalent numerical expressions using counters\n <\/li>\n
                                                                                                                                                                                                                                                                                  • \n Identify equivalent algebraic expressions using algebra tiles\n <\/li>\n
                                                                                                                                                                                                                                                                                  • \n Identify equivalent expressions or determine simplified expressions\n <\/li>\n
                                                                                                                                                                                                                                                                                  • \n Identify equivalent algebraic expressions, including real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                  • \n Evaluate & identify equivalent numerical expressions, including real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                    \n Evaluating Expressions\n <\/div>\n
                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                      \n Basic Evaluating Expressions, Addition & Subtraction\n <\/div>\n
                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                      • \n Evaluate addition expressions for specified value, one variable, whole numbers\n <\/li>\n
                                                                                                                                                                                                                                                                                      • \n Evaluate subtraction expressions for specified value, one variable, whole numbers\n <\/li>\n
                                                                                                                                                                                                                                                                                      • \n Evaluate addition expressions for specified value, one variable, at least one fraction\n <\/li>\n
                                                                                                                                                                                                                                                                                      • \n Evaluate addition expressions for specified value, one variable, at least one decimal\n <\/li>\n
                                                                                                                                                                                                                                                                                      • \n Evaluate subtraction expressions for specified value, one variable, at least one fraction\n <\/li>\n
                                                                                                                                                                                                                                                                                      • \n Evaluate subtraction expressions for specified value, one variable, at least one decimal\n <\/li>\n
                                                                                                                                                                                                                                                                                      • \n Evaluate expressions for specified value, one variable, only sums, at least one decimal\n <\/li>\n
                                                                                                                                                                                                                                                                                      • \n Evaluate subtraction expressions for specified value, one variable, at least one decimal\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                        \n Basic Evaluating Expressions, Multiplication & Division\n <\/div>\n
                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                        • \n Evaluate multiplication expressions for specified value, one variable\n <\/li>\n
                                                                                                                                                                                                                                                                                        • \n Evaluate division expressions for specified value, one variable\n <\/li>\n
                                                                                                                                                                                                                                                                                        • \n Evaluate multiplication expressions for specified value, one variable, at least one fraction\n <\/li>\n
                                                                                                                                                                                                                                                                                        • \n Evaluate multiplication expressions for specified value, one variable, at least one decimal\n <\/li>\n
                                                                                                                                                                                                                                                                                        • \n Evaluate division expressions for specified value, one variable, at least one fraction\n <\/li>\n
                                                                                                                                                                                                                                                                                        • \n Evaluate division expressions for specified value, one variable, at least one decimal\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                          \n Application of Evaluating Expressions\n <\/div>\n
                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                          • \n Condensed: Evaluate expressions for specified value, one variable\n <\/li>\n
                                                                                                                                                                                                                                                                                          • \n Evaluate expressions for specified values, two variables, multiple operations, including powers & real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                          • \n Condensed: Evaluate expressions, including powers, fractions, whole numbers, & decimals, including real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                          • \n Evaluate or identify expressions that represent situations from descriptions, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                          • \n Evaluate expressions for specified value, one variable, including multiple operations, at least one decimal\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                            \n Distributing or Factoring Expressions\n <\/div>\n
                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                            • \n Identify equivalent expressions involving distribution\n <\/li>\n
                                                                                                                                                                                                                                                                                            • \n Identify equivalent expressions involving distribution, two or more terms\n <\/li>\n
                                                                                                                                                                                                                                                                                            • \n Identify algebraic expressions, involving distribution, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                            • \n Apply distributive property to numerical expressions, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                            • \n Factor GCF from linear binomial expressions, both terms positive\n <\/li>\n
                                                                                                                                                                                                                                                                                            • \n Distribute or factor, linear binomial expressions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                              \n Simplifying Variable Expressions\n <\/div>\n
                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                              • \n Simplify algebraic expressions, combine two terms, positives\n <\/li>\n
                                                                                                                                                                                                                                                                                              • \n Simplify algebraic expressions, one variable, product of two factors, positives\n <\/li>\n
                                                                                                                                                                                                                                                                                              • \n Simplify algebraic expressions, one variable, product of three factors, positives\n <\/li>\n
                                                                                                                                                                                                                                                                                              • \n Simplify algebraic expressions, one variable, positive integer coefficients\n <\/li>\n
                                                                                                                                                                                                                                                                                              • \n Simplify algebraic expressions, one variable, distribute once, three or four grouped terms\n <\/li>\n
                                                                                                                                                                                                                                                                                              • \n Simplify algebraic expressions, two variables, positive integer coefficients\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                \n Equations & Inequalities\n <\/div>\n
                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                  \n Equations\n <\/div>\n
                                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                                    \n Equivalent Equations\n <\/div>\n
                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                    • \n Identify missing operations in numerical sentences\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                                      \n Solving Equations, Only Positives\n <\/div>\n
                                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                                      • \n Solve x + a = b, a > 0, b > 0, x > 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                      • \n Solve x – a = b, a > 0, b > 0, x > 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                      • \n Solve ax = b, a > 0, b > 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                      • \n Solve x\/a = b, a > 0, b > 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                      • \n Solve one-step linear equations, rationals\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                                        \n Properties of Equations\n <\/div>\n
                                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                                        • \n Identify properties used in numerical expressions\n <\/li>\n
                                                                                                                                                                                                                                                                                                        • \n Identify properties used in numerical & algebraic expressions\n <\/li>\n
                                                                                                                                                                                                                                                                                                        • \n Identify properties used to solve linear equations\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                                          \n Solving Addition & Subtraction Equations, Including Negatives\n <\/div>\n
                                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                                          • \n Solve x + a = b, a > 0, b > 0, x < 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Solve x + a = b, a > 0, b < 0, x < 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Solve x + a = b, a < 0, b > 0, x > 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Solve x + a = b, a < 0, b < 0, x > 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Solve x + a = b, a < 0, b < 0, x < 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Solve a + x = b\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Solve x – a = b, a < 0, b > 0, x > 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Solve x – a = b, a < 0, b > 0, x < 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Solve x – a = b, a < 0, b < 0, x < 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Solve x – a = b, a > 0, b < 0, x > 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Solve x – a = b, a > 0, b > 0, x < 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Condensed: Solve one-step linear equations, addition or subtraction\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                                            \n Solving Multiplication & Division Equations, Including Negatives\n <\/div>\n
                                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                                            • \n Solve ax = b, a > 0, b < 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                            • \n Solve ax = b, a < 0, b < 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                            • \n Solve ax = b, a < 0, b > 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                            • \n Solve -x = b\n <\/li>\n
                                                                                                                                                                                                                                                                                                            • \n Solve x\/a = b, a > 0, b < 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                            • \n Solve x\/a = b, a < 0, b > 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                            • \n Solve x\/a = b, a < 0, b < 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                            • \n Condensed: Solve one-step linear equations, multiplication or division\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                                              \n Checking Solutions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                                              • \n Identify values that solve equations, variable & constant on left side\n <\/li>\n
                                                                                                                                                                                                                                                                                                              • \n Identify values that solve equations, constant times variable\n <\/li>\n
                                                                                                                                                                                                                                                                                                              • \n Identify values that solve equations, variable divided by constant\n <\/li>\n
                                                                                                                                                                                                                                                                                                              • \n Identify values that solve equations, variable & constant on right side\n <\/li>\n
                                                                                                                                                                                                                                                                                                              • \n Identify values that solve equations\n <\/li>\n
                                                                                                                                                                                                                                                                                                              • \n Identify equations with given solution\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                                \n Writing & Solving Equations, Addition\n <\/div>\n
                                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                                • \n Determine addition equations, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                • \n Determine & solve addition equations, including real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                • \n Determine, solve, & apply addition equations, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                • \n Solve addition equations, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                • \n Determine & solve or apply addition equations, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                                  \n Writing & Solving Equations, Multiplication\n <\/div>\n
                                                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                                                  • \n Determine multiplication equations, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                  • \n Determine & solve multiplication equations, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                  • \n Determine & solve multiplication equations, including real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                  • \n Determine & solve multiplication equations, including required rounding, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                  • \n Determine, solve, & apply multiplication equations, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                  • \n Determine, solve, & apply multiplication equations, including required rounding, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                                                    \n Writing & Solving Equations, Mixed\n <\/div>\n
                                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                                    • \n Determine one-step equations, including decimals, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                    • \n Given one-step linear equation, identify real-world situation represented by equation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                    • \n Given rate & time, determine distance\n <\/li>\n
                                                                                                                                                                                                                                                                                                                    • \n Given distance & rate or time, determine missing quantity\n <\/li>\n
                                                                                                                                                                                                                                                                                                                    • \n Determine solutions to problems using common formulas, including simple interest, area & perimeter, & d = rt, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                                                      \n Inequalities\n <\/div>\n
                                                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                                                        \n Checking Solutions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                                                        • \n Identify values that solve inequalities, variable & constant on left side\n <\/li>\n
                                                                                                                                                                                                                                                                                                                        • \n Identify values that solve inequalities, variable & constant on right side\n <\/li>\n
                                                                                                                                                                                                                                                                                                                        • \n Identify values that solve inequalities, constant minus variable on left side\n <\/li>\n
                                                                                                                                                                                                                                                                                                                        • \n Identify values that solve inequalities, constant minus variable on right side\n <\/li>\n
                                                                                                                                                                                                                                                                                                                        • \n Identify values that solve inequalities\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                                                          \n Solving Inequalities, Only Positives\n <\/div>\n
                                                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                                                          • \n Solve one-step inequalities, x + #\n <\/li>\n
                                                                                                                                                                                                                                                                                                                          • \n Solve one-step inequalities, x – #\n <\/li>\n
                                                                                                                                                                                                                                                                                                                          • \n Condensed: Solve one-step inequalities, x \u00b1 #\n <\/li>\n
                                                                                                                                                                                                                                                                                                                          • \n Solve one-step inequalities, a * x, a > 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                                          • \n Solve & graph one-step inequalities, x + #\n <\/li>\n
                                                                                                                                                                                                                                                                                                                          • \n Solve & graph one-step inequalities, x – #\n <\/li>\n
                                                                                                                                                                                                                                                                                                                          • \n Condensed: Solve & graph one-step inequalities, x \u00b1 #\n <\/li>\n
                                                                                                                                                                                                                                                                                                                          • \n Solve & graph one-step inequalities, a * x, a > 0\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                                                            \n Solving Inequalities, Including Negatives\n <\/div>\n
                                                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                                                            • \n Solve one-step inequalities, a * x, a < 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                                            • \n Solve one-step inequalities, x\/a, a > 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                                            • \n Solve one-step inequalities, x\/a, a < 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                                            • \n Condensed: Solve one-step inequalities, x\/a\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                                                              \n Solving & Graphing Inequalities, Including Negatives\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                                                              • \n Condensed: Solve & graph one-step inequalities, x \u00b1 #\n <\/li>\n
                                                                                                                                                                                                                                                                                                                              • \n Solve & graph one-step inequalities, a * x, a < 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                                              • \n Condensed: Solve & graph one-step inequalities, a * x\n <\/li>\n
                                                                                                                                                                                                                                                                                                                              • \n Solve & graph one-step inequalities, x\/a, a > 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                                              • \n Solve & graph one-step inequalities, x\/a, a < 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                                              • \n Condensed: Solve & graph one-step inequalities, x\/a\n <\/li>\n
                                                                                                                                                                                                                                                                                                                              • \n Solve & graph one-step inequalities, whole number coefficients\n <\/li>\n
                                                                                                                                                                                                                                                                                                                              • \n Solve & graph one-step inequalities, integer coefficients\n <\/li>\n
                                                                                                                                                                                                                                                                                                                              • \n Solve & graph one-step inequalities, including fractional coefficients\n <\/li>\n
                                                                                                                                                                                                                                                                                                                              • \n Solve & graph one-step inequalities, including negative & fractional coefficients\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                                                \n Basic Writing & Graphing Inequalities\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                                                • \n Determine graph from inequality or inequality from graph\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                • \n Graph inequalities on number line\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                • \n Given graph, determine inequality\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                                                  \n Application of Writing Inequalities\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                                                                  • \n Represent real-world problems as inequalities\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                  • \n Determine one-step inequalities, including real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                  • \n Determine one-step inequalities, rational numbers, including real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                  • \n Given description, determine inequality, graph, & possible solutions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                  • \n Given inequality, identify phrase or real-world problem that represents inequality\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                  • \n Given one-step inequality, identify real-world problem modeled by inequality\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                  • \n Given one-step inequality, identify real-world problem modeled by inequality, rational numbers\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                  • \n Identify one-step inequalities that model real-world problems or interpret inequality components\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                  • \n Determine, solve, & graph one-step inequalities, including real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                                                                    \n Linear Relationships\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                                                                      \n Linear Relationships, Only Proportional\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                                                                        \n Identifying Independent & Dependent Variables\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                                                                        • \n Given description, identify dependent or independent variable\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                        • \n Given equation, identify dependent or independent variable\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                        • \n Given table, identify dependent or independent variable\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                        • \n Given table or graph, identify dependent or independent variable\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                                                                          \n Interpreting Points\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                                                                          • \n Determine or interpret points on graphs showing proportional relationships\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                          • \n Given constant of proportionality, determine or interpret point, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                                                                            \n Writing Equations, Completing Tables & Graphs\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                                                                            • \n Given unit rate, determine graph of proportional relationship, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n Determine graph of proportional relationship, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n Given two points, determine linear graph & constant of proportionality\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n Given constant of proportionality, determine table, graph, or equation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n Given table, determine constant of proportionality, graph, or equation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n Given equation, determine constant of proportionality, graph, or table\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n Given graph, determine constant of proportionality, table, or equation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n Condensed: Determine equivalent representations of proportional relationships\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n Determine or identify equivalent representations of proportional relationships\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n Determine equations, tables, & graphs for proportional relationships, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n Given visual representation of proportional relationship, determine equation, table, & graph, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n Identify representation of proportional relationship, various representations, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                                                                              \n Linear Relationships, Proportional & Non-Proportional\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                                                                \n Additive & Multiplicative Relationships\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                                                                • \n Identify graphs of additive & multiplicative relationships \n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                • \n Given table, determine additive or multiplicative equation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                • \n Identify components of additive & multiplicative equations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                • \n Identify equivalent representations of additive & multiplicative relationships\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                • \n Identify equivalent representations of additive & multiplicative relationships, including decimals & fractions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                • \n Identify situations modeled by additive & multiplicative relationships\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                • \n Identify situations modeled by tables or equations, y = mx or y = x + b\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                • \n Identify proportional & non-proportional relationships, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                • \n Identify tables that represent real-world situations, y = mx or y = x + b\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                • \n Determine equations that represent real-world situations, y = mx or y = x + b\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                                                                  \n Finding Constant of Proportionality\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                                                                                  • \n Given equation, determine constant of proportionality\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                  • \n Given equation, determine constant of proportionality, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                  • \n Given table, determine constant of proportionality\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                  • \n Given graph, determine constant of proportionality, including real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                  • \n Determine constants of proportionality, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                  • \n Condensed: Determine constants of proportionality\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                  • \n Given table, determine graph & constant of proportionality\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                                                                                    \n Identifying Proportional vs. Non-Proportional\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                                                                    • \n Identify tables showing proportional relationship\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                    • \n Identify graphs showing proportional relationship\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                    • \n Identify equations showing proportional relationship\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                    • \n Identify tables, graphs, or equations showing proportional relationship\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                                                                                      \n Writing Equations, Completing Tables & Graphs\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                                                                                      • \n Given linear equation & table, identify graph\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                      • \n Given linear equation & table, determine graph\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                      • \n Given linear graph, determine y-values in table\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                      • \n Given linear graph, determine y-values in table & equation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                      • \n Given linear equation, determine y-values in table & graph, first quadrant\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                      • \n Determine equations that represent real-world situations, including two-step equations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                      • \n Determine additive & multiplicative equations that represent real-world situations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                      • \n Given graph of proportional relationship, determine table & equation, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                                                                                        \n Geometry\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                                                                                          \n 2D Figures\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                                                                                          • \n Classify angles from figure\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                          • \n Classify triangles by sides\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                          • \n Classify triangles by angles\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                          • \n Classify triangle based on given angle measures\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                          • \n Classify triangles based on angles & sides\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                          • \n Classify quadrilaterals shapes based on attributes\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                          • \n Classify polygons based on number of sides or relationship to other shapes\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                          • \n Classify polygons based on angles & parallel or perpendicular lines\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                          • \n Classify polygons using graphic organizers\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                          • \n Classify polygons using graphic organizers, including types of triangles\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                                                                                            \n 3D Figures\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                                                                                            • \n Identify 3D figures & their bases\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                            • \n Identify equivalent representations of 3D figures & nets\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                            • \n Determine 2D orthographic representation of 3D blocks\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                                                                                              \n Triangle Angle-Side Relationships\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                                                                                              • \n Given two angle measures in triangle, determine angle measure\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                              • \n Determine smallest & largest sides or angles in triangle\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                              • \n Order angles in triangles\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                              • \n Given congruent sides, identify congruent angles of isosceles triangle\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                              • \n Given congruent angles, identify congruent sides of isosceles triangle\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                              • \n Apply triangle inequality theorem to determine range of values for unknown side\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                              • \n Apply triangle inequality theorem to determine side lengths\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                              • \n Apply triangle angle sum theorem to determine appropriate equation & angles, algebraic expressions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                                                                                \n Perimeter\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                                                                                  \n Modeling Perimeter\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                                                                                                  • \n Given model, identify formula & determine perimeter of rectangles\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                  • \n Given model, identify formula & determine perimeter of rectangles, including decimal dimensions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                  • \n Condensed: Identify formula & determine perimeter of rectangles & squares\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                                                                                                    \n Basic Perimeter\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                                                                                    • \n Determine perimeter of rectangles\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                    • \n Given sides of rectangle, determine perimeter\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                    • \n Determine perimeter of rectangles, including decimal dimensions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                    • \n Determine side length or perimeter of squares\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                    • \n Given perimeter & one dimension of rectangle, determine missing dimension\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                    • \n Given perimeter of rectangle & one side, determine dimension\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                    • \n Given perimeter of rectangle & one side, determine dimension, including decimals\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                                                                                                      \n Application of Perimeter\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                                                                                                      • \n Given sides of rectangle, determine perimeter\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                      • \n Condensed: Determine perimeter of rectangles, including real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                      • \n Determine perimeter of rectangles, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                      • \n Determine perimeter of rectangles, including decimal dimensions, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                      • \n Given perimeter & relationship between sides, determine specific dimension\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                      • \n Determine perimeter of polygons, including real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                      • \n Determine circumference of circle, exact answers, multiple choice, including real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                      • \n Given radius or diameter, determine circumference\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                      • \n Estimate diameter or circumference & identify equations using \u03c0\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                                                                                                        \n Area\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                                                                                                          \n Trapezoid Area\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                                                                                                            \n Basic Trapezoid Area \n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                                                                                                            • \n Determine area of trapezoids\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                            • \n Given area & base lengths of trapezoid, determine height\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                                                                                                              \n Application & Modeling of Trapezoid Area\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                                                                                                              • \n Determine area of triangles using models that decompose & rearrange parts\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                              • \n Given height & bases of trapezoid, determine area\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                              • \n Determine equations that represent area of trapezoids, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                              • \n Given area & bases of trapezoid, determine height\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                                                                                                \n Composite & Mixed Figure Area\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                                                                                                • \n Determine algebraic expressions that represent area of rectangles & triangles\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                • \n Determine areas of triangles & trapezoids\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                • \n Given area, determine dimensions of triangles\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                • \n Condensed: Determine areas & dimensions of triangles & trapezoids\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                • \n Condensed: Determine equations that represent area of triangles & quadrilaterals, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                • \n Determine perimeter of composite figures containing rectangles & squares, including real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                • \n Determine area of composite figures on coordinate plane, no circular shapes\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                • \n Determine area of polygons in coordinate plane\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                • \n Determine area of polygons in coordinate plane, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                • \n Determine area of composite figures, rectangle with various figures attached, no circular parts\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                • \n Determine area of composite figures, no circular shapes\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                • \n Condensed: Determine area using models that decompose & rearrange parts\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                                                                                                  \n Triangle Area\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                                                                                                                    \n Basic Triangle Area\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                                                                                                    • \n Determine area of triangles, internal height\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                    • \n Determine area of triangles, external height\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                    • \n Determine area of triangles\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                    • \n Determine area of triangles, internal height, mixed numbers\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                    • \n Determine area of triangles, external height, mixed numbers\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                    • \n Determine area of triangles, mixed numbers\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                    • \n Given area & one dimension of triangle, determine missing dimension\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                    • \n Given area & one dimension of triangle, determine missing dimension, mixed numbers\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                                                                                                                      \n Application & Modeling of Triangle Area\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                                                                                                                      • \n Given base & height of triangle, determine area\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                      • \n Determine area of triangles using models that decompose & rearrange parts\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                      • \n Determine equations that represent area of triangles, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                      • \n Given area & one dimension of triangle, determine missing dimension\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                                                                                                                        \n Circle Area\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                                                                                                                        • \n Determine area of circle, exact answers, including real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                        • \n Given radius or diameter, determine area\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                        • \n Given radius or diameter, determine area or circumference\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                        • \n Condensed: Determine area or circumference of circle\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                        • \n Identify approximate formulas for circumference & area of circles\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                                                                                                                          \n Rectangle & Parallelogram Area\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                                                                                                                            \n Modeling Area of Rectangles & Parallelograms\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                                                                                                                            • \n Given sides of rectangle, determine area, model provided\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                            • \n Given model, identify formula & determine area of square\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                            • \n Given model, identify formula & determine area of rectangle\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                            • \n Condensed: Given model, identify formula & determine area of square or rectangle\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                            • \n Determine area of rectangles with fractional dimensions using tiling method\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                            • \n Determine area of parallelograms, model provided\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                            • \n Determine area of parallelograms using models that decompose & rearrange parts\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                                                                                                                              \n Basic Area of Rectangles & Parallelograms\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                                                                                                                              • \n Given length & width of rectangle, determine area\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                              • \n Given sides of rectangle, determine area\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                              • \n Determine area of rectangles with fractional dimensions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                              • \n Determine area of parallelograms\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                              • \n Determine areas of rectangles & parallelograms\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                              • \n Given area & one dimension of rectangle, determine missing dimension\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                              • \n Given area of rectangle & one dimension, determine other dimension\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                              • \n Given area & one dimension of parallelogram, determine missing dimension\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                              • \n Given area, determine dimensions of rectangles & parallelograms\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                              • \n Condensed: Determine areas & dimensions of rectangles & parallelograms\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                                                                                                                \n Application of Area of Rectangles & Parallelograms\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine equations that represent area of rectangles, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                • \n Condensed: Determine area of rectangles, including real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                • \n Given sides of rectangle & cost per square unit, determine area & total cost, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine area of shaded region between nested rectangles\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                • \n Given perimeter or side length, determine area of square, including real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine equations that represent area of parallelograms, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                • \n Given base & height of rectangle or parallelogram, determine area\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine area of missing dimension of rectangles, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                • \n Given area & one dimension of rectangle or parallelogram, determine missing dimension\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                                                                                                                  \n Area & Perimeter\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                                                                                                                                  • \n Condensed: Identify formula & determine perimeter of rectangles & squares\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                  • \n Determine area or perimeter of parallelograms\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                  • \n Condensed: Determine equations that represent area of triangles & quadrilaterals, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                  • \n Determine dimension of rectangles, including real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                                                                                                                                    \n Surface Area\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                                                                                                                                      \n Calculating Surface Area with Nets\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                                                                                                                                      • \n Identify equivalent representations of 3D figures & nets\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                      • \n Given net, determine surface area of rectangular prism\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                      • \n Given net, determine surface area of prisms \n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                      • \n Given net, determine lateral surface area of prisms \n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                                                                                                                                        \n Surface Area of Rectangular & Triangular Prisms \n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                                                                                                                                        • \n Determine surface area of rectangular prisms\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                        • \n Determine surface area of triangular prisms\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                        • \n Determine surface areas of 3D figures, no circles\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                                                                                                                                          \n Volume\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                                                                                                                                            \n Unit Cube Volume\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                                                                                                                                            • \n Determine relationship between area, volume, & dimensions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                            • \n Determine relationship between area, volume, square units, & cubic units\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                            • \n Determine volume of rectangular 3D figures using unit cubes\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                            • \n Determine volume of rectangular prisms using unit cubes\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                            • \n Determine volume of rectangular prisms using unit cubes\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                            • \n Determine volume of rectangular prisms, various representations\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                                                                                                                                              \n Basic Volume, Cubes\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                                                                                                                                              • \n Determine volume of cubes, whole numbers or decimals\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                              • \n Determine volume of cubes, whole numbers, decimals, or fractions, no visual provided\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                              • \n Determine volume of cubes, whole numbers, decimals, or fractions \n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                                                                                                                                \n Basic Volume, Rectangular Prisms\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine volume of rectangular prisms, whole numbers, volume less than 10,000\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine volume of rectangular prisms, whole numbers or decimals\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine volume of rectangular prisms, whole numbers, decimals, or fractions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                • \n Given base area & edge or all edges, determine volume of rectangular prism\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine volumes of rectangular & triangular prisms, fractional dimensions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                • \n Given volume, determine edges of rectangular prisms\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine volume or edge of rectangular prisms, whole numbers, volume less than 10,000\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine volume or edge of rectangular prisms, whole numbers\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                • \n Condensed: Determine volume or dimension of rectangular prisms, fractional dimensions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine volume of rectangular prisms, whole numbers or decimals\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine volumes of rectangular prisms, fractional dimensions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                • \n Given volume, determine edge of rectangular prisms, up to four-digit dividend, up to two-digit divisor\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                                                                                                                                  \n Application of Volume, Cubes\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Determine volume of cubes, whole numbers or decimals, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Determine volume of cubes, whole numbers, decimals, or fractions, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Condensed: Determine volume or side length of cubes, whole numbers, decimals, or fractions, including real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                                                                                                                                                    \n Application of Volume, Rectangular Prisms\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Determine volume of rectangular prisms using repeated layers of base area, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Determine volume of rectangular prisms using various representations of cubic units, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Determine volume of rectangular prisms, whole numbers, including real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Determine volumes of rectangular prisms, rational dimensions, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Determine volumes of cubes & rectangular prisms\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Determine volume of triangular prisms\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Given volume & two dimensions of rectangular prism, determine missing dimension\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Determine volume or edge of rectangular prisms, whole numbers, decimals, or fractions, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Determine volume or edge of rectangular prisms, whole numbers or decimals, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Determine volume of composite rectangular prisms\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Determine volume of rectangular prisms & apply associative property to volume expressions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Condensed: Determine volumes or edges of rectangular prisms, whole numbers, decimals, or fractions, including real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                                                                                                                                                      \n Coordinate Plane\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                                                                                                                                                        \n Basic Coordinate Plane, Only First Quadarant\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Determine coordinates of first quadrant points\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Determine coordinates of first quadrant point, various scales\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Determine coordinates of first quadrant rational points\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Plot first quadrant points\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Plot first quadrant points, various scales\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Plot first quadrant rational points\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Plot or determine coordinates of first quadrant points\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Condensed: Plot or determine coordinates of first quadrant points\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Condensed: Plot or determine coordinates of first quadrant rational points, various scales\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                                                                                                                                                          \n Application of Coordinate Plane, Only First Quadrant\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Identify description of process to plot first quadrant points\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Identify locations or parts of coordinate plane using first quadrant points\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Identify first quadrant points or parts of coordinate plane\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Determine or identify first quadrant points, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Determine or identify first quadrant points, including cardinal directions, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Condensed: Plot or determine coordinates of first quadrant rational points\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                                                                                                                                                            \n Basic Coordinate Plane, All Quadrants\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Given integer point on graph, determine coordinates, point on axis\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Given integer point on graph, determine coordinates\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Given lattice point, determine coordinates\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Given rational point, determine location on coordinate plane\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Plot integer points on coordinate plane, point on axis\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Plot integer points\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Plot points on coordinate plane, student selects scales\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Plot rational points on coordinate plane\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Plot rational points on coordinate plane, graph scale at most one-half\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Condensed: Plot integer points or determine coordinates\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Condensed: Plot or identify points on coordinate plane\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Plot or identify rational points on coordinate plane\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                                                                                                                                                              \n Reflections & Distance Between Points\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Determine coordinates of reflected points\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Determine distance between points on coordinate plane, horizontal or vertical\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Determine distance between points on coordinate plane, horizontal or vertical, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                \n Measurement & Data\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                  \n Conversions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                    \n Basic Customary Conversions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Convert between customary units of weight & mass\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Convert between customary units of volume & capacity\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Convert between customary units of length\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Convert between customary units of length\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Given unit conversion rate, convert measurement units\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                      \n Application of Customary Conversions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Convert between customary units of volume & capacity\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Convert between customary units of weight & mass\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Condensed: Convert between customary units\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Convert between customary units, including real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Convert between customary units, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Convert between customary units to find sums or differences, including real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                        \n Basic Metric Conversions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Convert between metric units of length\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Convert between metric units\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                          \n Application of Metric Conversions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Convert between metric units of weight & mass\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Convert between metric units of volume & capacity\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Convert between metric units of length, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Convert between metric units of weight & mass, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Convert between metric units of volume & capacity, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Convert between metric units, including real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Given conversion chart, convert between metric units, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Condensed: Convert between metric units\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Convert between metric units, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Condensed: Convert between customary or metric units\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                            \n Basic Customary & Metric Conversions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Convert customary to metric units of length, calculator expected\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Convert metric to customary units of length, calculator expected\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Convert customary to metric units of volume & capacity, calculator expected\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Convert metric to customary units of volume & capacity, calculator expected\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Convert customary to metric units of weight & mass, calculator expected\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Convert metric to customary units of weight & mass, calculator expected\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Condensed: Convert between customary & metric, calculator expected\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                              \n Application of Customary to Metric & Metric to Customary\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Convert customary to metric units of length\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Convert customary to metric units of weight & mass\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Convert customary to metric units of volume & capacity\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Convert metric to customary units of length\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Convert metric to customary units of weight & mass\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Convert metric to customary units of volume & capacity\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                \n Application of One-Step Customary & Metric Conversions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Condensed: Convert between customary & metric\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Convert between customary & metric using conversion graphs\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Convert between customary & metric using unit rates\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Convert between customary & metric using dimensional analysis\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Convert between customary & metric, proportion bias\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Condensed: Convert between customary & metric using multiple representations of conversion factor\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Convert between customary & metric, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Convert between customary & metric using scale factors\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                  \n Application of Multi-Step Customary & Metric Conversions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Convert customary to metric units of length, including multi-step\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Convert customary to metric units of weight & mass, including multi-step\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Convert customary to metric units of volume & capacity, including multi-step\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Convert metric to customary units of length, including multi-step\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Convert metric to customary units of weight & mass, including multi-step\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Convert metric to customary units of volume & capacity, including multi-step\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Condensed: Convert between customary & metric, including multi-step\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                    \n Charts & Graphs\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                      \n Frequency Tables\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Given data, identify frequency table or determine missing element of table\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Solve one-step problems from frequency tables, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Solve problems from frequency tables, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Solve one-step problems from frequency & relative frequency tables, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Solve multi-step problems from frequency tables, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Condensed: Interpret two-way frequency tables\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                        \n Line Plots\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Given data represented in various ways, identify dot plot\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Determine equivalent fraction data sets & line plots\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Solve one-step problems from dot plots, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Solve problems involving dot plots\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Solve problems involving line plots & fractions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Add or subtract fractions from line plots, common denominator\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Solve multi-step problems from dot plots, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                          \n Bar & Double Bar Graphs\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Given table, determine equivalent bar graph\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Given bar graph, determine equivalent table\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Given table, determine equivalent bar graph, including double bar graphs\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Condensed: Given bar graph, determine equivalent table or pictograph\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Determine or interpret percentage bar graphs\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Solve problems involving bar graphs\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Solve one-step problems from bar graphs, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Solve one-step problems from double bar graphs, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Add, subtract, & multiply fractions in bar graphs, common denominator\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Solve multi-step problems from bar graphs, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Solve multi-step problems from double bar graphs, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                            \n Stem-&-Leaf Plots\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Given data, identify stem-and-leaf plot\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Given data, identify stem-and-leaf plot\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Solve one-step problems from stem-and-leaf plots, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Solve multi-step problems from stem-and-leaf plots, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                              \n Scatter Plots\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Given data, determine scatter plot\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Identify equivalent representations of data in tables & scatter plots\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Solve one-step problems from scatter plots, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Solve multi-step problems from scatter plots, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                \n Histograms\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Given various representations of data, determine histogram\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  \n Pictographs\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Given bar graph, determine equivalent pictograph\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Given pictograph, determine equivalent table\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Given pictograph, determine equivalent bar graph\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Condensed: Given pictograph, determine equivalent bar graph or table\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    \n Pie Charts\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Solve problems involving interpretation of pie charts \n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Solve problems involving interpretation of pie charts displayed using fractions, decimals, or percents\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Determine percent of category in pie charts\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      \n Mixed Charts & Graphs\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Determine unit of measurement for data, various representations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Determine sample size, various representations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Condensed: Given table, determine equivalent bar graph or pictograph\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Condensed: Given data, represent with dot plot or stem-and-leaf plot\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Condensed: Determine equivalent visual representations of data\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Determine solutions to problems involving bar graphs & line graphs\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Condensed: Solve one-step problems from various plots, graphs, & tables, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Condensed: Solve multi-step problems from various plots, graphs, & tables, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        \n Probability & Statistics\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          \n Measures of Center & Spread\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            \n Calculating Measures of Center & Spread\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Determine mean, median, mode, or range\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Determine mean, median, mode, or range from stem-&-leaf plots\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Determine mean, median, mode, or range from various graphs\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Condensed: Determine mean, median, mode, or range, including graphs\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Given various representations of data, identify mean, median, mode, & range\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Given mean, median, mode, or range, determine missing value in data set\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Given additional value in data set, determine change in mean, median, mode, or range\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Given mean, median, or range, determine missing or additional value in data set\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Determine interquartile range of data\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Determine mean absolute deviation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Determine mean absolute deviation, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Condensed: Solve problems involving interpretation of box plots & stem-&-leaf plots\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \n Interpretting Measures of Center & Spread\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Given various representations of data, identify outlier\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Solve problems involving interpretation of histograms\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Identify variability in real-world situations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Determine collection method, distribution shape, & unit of measure for data\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Identify measures of center based on data distribution\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Identify measures of variability based on data distribution\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Identify & interpret measures of center\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Identify & interpret measures of variability\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Determine or interpret shapes & features of graphs\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Determine or interpret measures of center & spread from graphs\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                \n Box Plots\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine characteristics of boxplots\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Solve problems involving interpretation of box plots\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Solve problems involving interpretation of stacked box plots, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine five-number summary\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Given boxplot, determine values from five-number summary\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Condensed: Determine five-number summary, including box plots\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Solve problems involving five-number summary\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  \n Dot Plots\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Determine mean from dot plots\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Determine median from dot plots\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Determine & compare means from two dot plots\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Determine & compare medians from two dot plots\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Determine mean absolute deviation from dot plots\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Compare mean absolute deviations from two dot plots\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Compare characteristics of side-by-side dot plots\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    \n Statistical Data\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Determine whether data was counted or measured\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Determine whether data is categorical or numerical\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Identify statistical questions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Identify biased samples & questions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Identify samples & populations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Identify variability in real-world situations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Determine definitions of data collection & distribution vocabulary, fill in the blank\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      \n Basic Probability \n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Determine sample spaces\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Classify probabilities by levels of likelihood\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Determine probabilities of single events\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Determine theoretical probabilities\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Determine experimental probabilities\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Determine theoretical probabilities, fraction answers\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Determine experimental probabilities, fraction answers\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Determine probabilities of flipping coins specified number of times\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Determine probabilities & complementary probabilities of single events, including visual models\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Determine predicted values, theoretical probability\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Determine predicted values, experimental probability\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        \n Financial Literacy\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Identify positive & negative factors in establishing credit history\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Identify value of credit report\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Determine similarities & differences between debit & credit cards\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Identify methods of college payment\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Balance check register\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Determine budget allocations for spending, saving, & giving\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Solve problems involving information on credit report\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Given features & costs, determine best financial institution based on specified conditions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Determine annual income\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Determine lifetime income\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Estimate costs of two-year college education\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Estimate costs of four-year college education\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n<\/div>\n\n\n\n

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          <\/p>\n","protected":false},"excerpt":{"rendered":"

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          6th Grade Skills VIEW ALL SKILLS Whole Numbers Addition of Whole Numbers Basic Addition of Whole Numbers Add three- & four-digit whole numbers Condensed: Add four-digit & three- or four-digit whole numbers Add four-digit whole numbers Application of Addition of Whole Numbers Add three- & four-digit whole numbers, real-world context Add four-digit whole numbers, real-world…<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"elementor_theme","meta":{"_kad_post_transparent":"","_kad_post_title":"","_kad_post_layout":"","_kad_post_sidebar_id":"","_kad_post_content_style":"","_kad_post_vertical_padding":"","_kad_post_feature":"","_kad_post_feature_position":"","_kad_post_header":false,"_kad_post_footer":false,"footnotes":""},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/getmoremath.com\/wp-json\/wp\/v2\/pages\/57196"}],"collection":[{"href":"https:\/\/getmoremath.com\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/getmoremath.com\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/getmoremath.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/getmoremath.com\/wp-json\/wp\/v2\/comments?post=57196"}],"version-history":[{"count":1,"href":"https:\/\/getmoremath.com\/wp-json\/wp\/v2\/pages\/57196\/revisions"}],"predecessor-version":[{"id":58139,"href":"https:\/\/getmoremath.com\/wp-json\/wp\/v2\/pages\/57196\/revisions\/58139"}],"wp:attachment":[{"href":"https:\/\/getmoremath.com\/wp-json\/wp\/v2\/media?parent=57196"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}