{"id":57365,"date":"2022-03-03T17:10:09","date_gmt":"2022-03-04T01:10:09","guid":{"rendered":"https:\/\/origin.getmoremath.com\/?page_id=57365"},"modified":"2023-10-20T19:57:03","modified_gmt":"2023-10-20T19:57:03","slug":"5th","status":"publish","type":"page","link":"https:\/\/getmoremath.com\/5th\/","title":{"rendered":"5th Grade Skills"},"content":{"rendered":"\n

5th 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 positive integers, up to two digits\n <\/li>\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 whole numbers, up to two digits, real-world context\n <\/li>\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 Add five-digit whole numbers, real-world context\n <\/li>\n
          • \n Condensed: Add whole numbers, up to five digits, real-world context\n <\/li>\n
          • \n Condensed: Add whole numbers, up to five digits, including 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 positive integers, up to two digits, positive difference\n <\/li>\n
              • \n Subtract whole numbers, four-digit & three-digit\n <\/li>\n
              • \n Subtract whole numbers, four-digit & three-digit\n <\/li>\n
              • \n Subtract whole numbers, three- or four-digit & two- to four-digit\n <\/li>\n
              • \n Condensed: Subtract whole numbers, four-digit & three- or four-digit\n <\/li>\n
              • \n Subtract whole numbers, four-digit & 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, 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, 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 Modeling Multiplication of Whole Numbers\n <\/div>\n
                      \n
                    • \n Multiply whole numbers using area models, up to four-digit & one-digit\n <\/li>\n
                    • \n Multiply whole numbers by decomposing factors, up to four-digit & one-digit\n <\/li>\n
                    • \n Condensed: Multiply whole numbers using area models or decomposition, up to four-digit & one-digit\n <\/li>\n
                    • \n Multiply whole numbers using area models, two-digit & two-digit\n <\/li>\n
                    • \n Condensed: Multiply whole numbers using area models or decomposition, two-digit & two-digit\n <\/li>\n <\/ul>\n <\/li>\n
                    • \n
                      \n Basic Multiplication of Whole Numbers\n <\/div>\n
                        \n
                      • \n Multiply whole numbers, two-digit & one-digit\n <\/li>\n
                      • \n Multiply whole numbers, both up to 19\n <\/li>\n
                      • \n Multiply multiples of 10 & two-digit whole numbers\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 <\/ul>\n <\/li>\n
                      • \n
                        \n Basic Multiplication of Whole Numbers, Three- or Four-Digit\n <\/div>\n
                          \n
                        • \n Multiply whole numbers, three-digit & one-digit\n <\/li>\n
                        • \n Multiply whole numbers, four-digit & one-digit\n <\/li>\n
                        • \n Condensed: Multiply whole numbers, three- or four-digit & one-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 Multiply whole numbers, both up to three digits\n <\/li>\n
                        • \n Condensed: Multiply whole numbers, three- or four-digit & two-digit\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 Application of Multiplication of Whole Numbers\n <\/div>\n
                            \n
                          • \n Multiply whole numbers, two-digit & one-digit, real-world context\n <\/li>\n
                          • \n Multiply whole numbers, three-digit & one-digit, real-world context\n <\/li>\n
                          • \n Multiply whole numbers, four-digit & one-digit, real-world context\n <\/li>\n
                          • \n Condensed: Multiply whole numbers, one-digit & up to four-digit, real-world context\n <\/li>\n
                          • \n Multiply whole numbers, two-digit & two-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 Multiply whole numbers, three-digit & two-digit, including addition or subtraction step, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                          • \n
                            \n Products of Ten & One Hundred\n <\/div>\n
                              \n
                            • \n Multiply 100 & two-digit whole numbers\n <\/li>\n
                            • \n Condensed: Multiply whole numbers, two-digit & 10 or 100\n <\/li>\n
                            • \n Multiply multiples of 10 & one-digit whole numbers, real-world context\n <\/li>\n
                            • \n Multiply multiples of 100 & one-digit whole numbers, real-world context\n <\/li>\n
                            • \n Condensed: Multiply multiples of 10 or 100 & one-digit whole numbers, real-world context\n <\/li>\n
                            • \n Condensed: Multiply multiples of 10 or 100 & one- or two-digit whole numbers, including real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                            • \n
                              \n Multiplicative Comparisons \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 Modeling Division of Whole Numbers\n <\/div>\n
                                    \n
                                  • \n Determine equivalence between arrays & division equations\n <\/li>\n
                                  • \n Determine equivalence between area models & division equations\n <\/li>\n
                                  • \n Condensed: Determine equivalence between models & division equations\n <\/li>\n
                                  • \n Apply divisibility rules to two-digit dividends, divisor 2, 3, 4, 5, 6, 9, 10\n <\/li>\n
                                  • \n Determine division equations, real-world context \n <\/li>\n <\/ul>\n <\/li>\n
                                  • \n
                                    \n Basic Division of Whole Numbers, One-Digit Divisor\n <\/div>\n
                                      \n
                                    • \n Divide whole numbers, up to three-digit dividend, one-digit divisor\n <\/li>\n
                                    • \n Determine quotient & remainder, one-digit dividend, one-digit divisor\n <\/li>\n
                                    • \n Determine quotient & remainder, two-digit dividend, one-digit divisor\n <\/li>\n
                                    • \n Determine quotient & remainder, three-digit dividend, one-digit divisor\n <\/li>\n
                                    • \n Determine quotient & remainder, four-digit dividend, one-digit divisor\n <\/li>\n
                                    • \n Determine quotient & remainder as fraction, one-digit dividend, one-digit divisor\n <\/li>\n
                                    • \n Determine quotient & remainder as fraction, two-digit dividend, one-digit divisor\n <\/li>\n
                                    • \n Determine quotient & remainder as fraction, three-digit dividend, one-digit divisor\n <\/li>\n
                                    • \n Determine quotient & remainder as fraction, four-digit dividend, one-digit divisor\n <\/li>\n <\/ul>\n <\/li>\n
                                    • \n
                                      \n Basic Division of Whole Numbers, Up to Three-Digit Dividend & Two-Digit Divisor\n <\/div>\n
                                        \n
                                      • \n Determine quotient & remainder, two-digit dividend, two-digit divisor\n <\/li>\n
                                      • \n Condensed: Determine quotient & remainder, two-digit dividend, up to two-digit divisor\n <\/li>\n
                                      • \n Determine quotient & remainder, three-digit dividend, two-digit divisor\n <\/li>\n
                                      • \n Condensed: Determine quotient & remainder, three-digit dividend, up to two-digit divisor\n <\/li>\n
                                      • \n Determine quotient & remainder as fraction, two-digit dividend, 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 Determine quotient & remainder as fraction, three-digit dividend, two-digit divisor\n <\/li>\n
                                      • \n Condensed: Determine quotient & remainder as fraction, three-digit dividend, up two two-digit divisor\n <\/li>\n <\/ul>\n <\/li>\n
                                      • \n
                                        \n Basic Division of Whole Numbers, Four- or Five-Digit Dividend & Two-Digit Divisor\n <\/div>\n
                                          \n
                                        • \n Divide whole numbers, up to five-digit dividend, up to two-digit divisor\n <\/li>\n
                                        • \n Determine quotient & remainder, four-digit dividend, two-digit divisor\n <\/li>\n
                                        • \n Condensed: Determine quotient & remainder, up to four-digit dividend & two-digit divisor\n <\/li>\n
                                        • \n Condensed: Determine quotient & remainder, four-digit dividend, up to two-digit divisor\n <\/li>\n
                                        • \n Determine quotient & remainder as fraction, four-digit dividend, two-digit divisor\n <\/li>\n
                                        • \n Condensed: Determine quotient & remainder as fraction, four-digit dividend, up two two-digit divisor\n <\/li>\n <\/ul>\n <\/li>\n
                                        • \n
                                          \n Application of Division of Whole Numbers\n <\/div>\n
                                            \n
                                          • \n Divide positive integers, up to four-digit dividend, one-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, 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 Condensed: Divide whole numbers, up to four-digit dividend, up to two-digit divisor, including 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
                                              • \n Condensed: Solve multi-step problems involving equations, 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 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 <\/ul>\n <\/li>\n
                                                • \n
                                                  \n Application of Mixed Operations of Whole Numbers\n <\/div>\n
                                                    \n
                                                  • \n Add or subtract whole numbers, 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 models & 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 & Estimating 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, real-world context\n <\/li>\n
                                                        • \n Condensed: Round whole numbers to nearest ten, hundred, & thousand, including 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 sum of rational numbers, round both to nearest whole, 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 Condensed: Estimate sums, differences, & products of whole numbers\n <\/li>\n
                                                          • \n Identify division expression to estimate quotient using compatible numbers, real-world context\n <\/li>\n
                                                          • \n Estimate quotients of whole numbers, up to six-digit dividend, up to three-digit divisor\n <\/li>\n
                                                          • \n Determine division expression to estimate quotient using compatible numbers\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 Compare whole numbers up to 1,000,000,000\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 Given various models, determine fraction, denominators 2, 3, 4, 6, 8\n <\/li>\n
                                                                • \n Identify fractions on strip diagrams\n <\/li>\n
                                                                • \n Identify fractions or mixed numbers on decimal grid\n <\/li>\n
                                                                • \n Identify common fractions or mixed numbers on number line\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 Comparing & Ordering Fractions\n <\/div>\n
                                                                      \n
                                                                    • \n Compare two fractions, different denominators, strip diagrams\n <\/li>\n
                                                                    • \n Compare two fractions, different denominators, number lines\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
                                                                    • \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
                                                                      \n Equivalent Fractions\n <\/div>\n
                                                                        \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 fractions, strip diagrams\n <\/li>\n
                                                                      • \n Determine equivalent fraction components\n <\/li>\n
                                                                      • \n Identify or determine equivalent fraction components or fractions\n <\/li>\n
                                                                      • \n Determine how many fraction parts are in whole\n <\/li>\n <\/ul>\n <\/li>\n
                                                                      • \n
                                                                        \n Decomposing Fractions\n <\/div>\n
                                                                          \n
                                                                        • \n Decompose fractions into sum of fractions, visual models\n <\/li>\n
                                                                        • \n Decompose fractions into sum of fractions\n <\/li>\n
                                                                        • \n Decompose fractions or mixed numbers into sum of fractions, visual models\n <\/li>\n
                                                                        • \n Decompose fractions or mixed numbers into sum of fractions, real-world context\n <\/li>\n
                                                                        • \n Condensed: Decompose fractions or mixed numbers into sum of fractions, including visual models & real-world context\n <\/li>\n
                                                                        • \n Decompose fractions or mixed numbers into sum of fractions & determine equivalent fractions & mixed numbers\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 Identify decimal equivalent of fractions, real-world context\n <\/li>\n
                                                                            • \n Given model, determine fraction & decimal equivalents, unreduced\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 Condensed: Determine & identify equivalent fractions & decimals, including models, including real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                            • \n
                                                                              \n Converting Improper Fractions & Mixed Numbers \n <\/div>\n
                                                                                \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 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 mixed numbers to unreduced improper fractions\n <\/li>\n
                                                                              • \n Condensed: Convert between improper fractions & mixed numbers\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                              • \n
                                                                                \n Addition of Fractions\n <\/div>\n
                                                                                  \n
                                                                                • \n
                                                                                  \n Basic Addition of Fractions, Common Denominators\n <\/div>\n
                                                                                    \n
                                                                                  • \n Add fractions, common denominators, unreduced\n <\/li>\n
                                                                                  • \n Add fractions, common denominators, proper fraction sum\n <\/li>\n
                                                                                  • \n Add fractions, common denominators, sums greater than one\n <\/li>\n
                                                                                  • \n Add fractions, common denominators, mixed number sum\n <\/li>\n
                                                                                  • \n Add mixed numbers, common denominators\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                  • \n
                                                                                    \n Application of Addition of Fractions, Common Denominators\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 <\/ul>\n <\/li>\n
                                                                                    • \n
                                                                                      \n Basic Addition of Fractions, Different Denominators\n <\/div>\n
                                                                                        \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 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
                                                                                      • \n Given addition expression of two fractions, identify expression using fourths that best estimates sum\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                      • \n
                                                                                        \n Subtraction of Fractions\n <\/div>\n
                                                                                          \n
                                                                                        • \n
                                                                                          \n Basic Subtraction of Fractions, Common Denominators\n <\/div>\n
                                                                                            \n
                                                                                          • \n Subtract fractions, same denominator, positive difference, including unreduced fractions\n <\/li>\n
                                                                                          • \n Subtract fractions, common denominators, unreduced\n <\/li>\n
                                                                                          • \n Subtract fractions, common denominators, proper fraction difference\n <\/li>\n
                                                                                          • \n Subtract mixed numbers, common denominators\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                          • \n
                                                                                            \n Application of Subtraction of Fractions, Common Denominators\n <\/div>\n
                                                                                              \n
                                                                                            • \n Condensed: Subtract fractions, common denominators, including real-world context\n <\/li>\n
                                                                                            • \n Subtract fractions, common denominators, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                            • \n
                                                                                              \n Basic Subtraction of Fractions, Different Denominators\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
                                                                                              • \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 Addition & Subtraction of Fractions\n <\/div>\n
                                                                                                  \n
                                                                                                • \n
                                                                                                  \n Modeling Addition & Subtraction of Fractions, Common Denominators\n <\/div>\n
                                                                                                    \n
                                                                                                  • \n Identify expressions that represent addition or subtraction of unreduced fractions modeled on number lines\n <\/li>\n
                                                                                                  • \n Identify expressions that represent addition or subtraction of unreduced fractions modeled by area models\n <\/li>\n
                                                                                                  • \n Determine & evaluate expressions representing sums & differences of fractions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                  • \n
                                                                                                    \n Basic Addition & Subtraction of Fractions, Common Denominators\n <\/div>\n
                                                                                                      \n
                                                                                                    • \n Condensed: Add or subtract fractions, common denominators, unreduced\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                    • \n
                                                                                                      \n Application of Addition & Subtraction of Fractions, Common Denominators\n <\/div>\n
                                                                                                        \n
                                                                                                      • \n Condensed: Add fractions, common denominators, including real-world context\n <\/li>\n
                                                                                                      • \n Condensed: Add or subtract fractions, common denominators, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                      • \n
                                                                                                        \n Modeling Addition & Subtraction of Fractions, Different Denominators\n <\/div>\n
                                                                                                          \n
                                                                                                        • \n Add & subtract fractions, number lines\n <\/li>\n
                                                                                                        • \n Add & subtract fractions, area models\n <\/li>\n
                                                                                                        • \n Add & subtract fractions, fraction strips\n <\/li>\n
                                                                                                        • \n Add & subtract fractions, various models\n <\/li>\n
                                                                                                        • \n Condensed: Given model, determine or interpret addition & subtraction of fractions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                        • \n
                                                                                                          \n Basic Addition & Subtraction of Fractions, Different Denominators\n <\/div>\n
                                                                                                            \n
                                                                                                          • \n Condensed: Add or subtract fractions\n <\/li>\n
                                                                                                          • \n Given subtraction expression of two fractions, identify expression using fourths that best estimates difference\n <\/li>\n
                                                                                                          • \n Condensed: Given addition or subtraction expression of two fractions, identify expression using fourths that best estimates result\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                          • \n
                                                                                                            \n Application of Addition & Subtraction of Fractions, Different Denominators\n <\/div>\n
                                                                                                              \n
                                                                                                            • \n Add & subtract fractions, real-world context\n <\/li>\n
                                                                                                            • \n Add or subtract fractions, including estimation, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                            • \n
                                                                                                              \n Multiplication of Fractions\n <\/div>\n
                                                                                                                \n
                                                                                                              • \n
                                                                                                                \n Application & Modeling Multiplication of Fractions\n <\/div>\n
                                                                                                                  \n
                                                                                                                • \n Multiply whole numbers & fractions, area models\n <\/li>\n
                                                                                                                • \n Multiply whole numbers & fractions, including visual models\n <\/li>\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, visual models, real-world context\n <\/li>\n
                                                                                                                • \n Multiply mixed numbers & proper fractions, real-world context\n <\/li>\n
                                                                                                                • \n Condensed: Identify models or multiply whole numbers & fractions using area models\n <\/li>\n
                                                                                                                • \n Determine part of whole using fraction multiplication, including visual models, including 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\n <\/li>\n
                                                                                                                  • \n Multiply proper & improper fractions, positive\n <\/li>\n
                                                                                                                  • \n Multiply fractions, positive, mixed number directions\n <\/li>\n
                                                                                                                  • \n Multiply mixed numbers, positive\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 Interpret fractional parts & fraction multiplication, real-world context\n <\/li>\n
                                                                                                                    • \n Compare products of fractions, mixed numbers, & whole numbers, including 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 by unit fractions, models\n <\/li>\n
                                                                                                                          • \n Divide whole numbers & unit fractions, area models\n <\/li>\n
                                                                                                                          • \n Divide whole numbers & unit fractions, fraction strips\n <\/li>\n
                                                                                                                          • \n Divide whole numbers by unit fractions, number lines\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\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 Divide whole numbers & unit fractions, including unit fraction multiplication, real-world context\n <\/li>\n
                                                                                                                              • \n Condensed: Divide whole numbers & fractions, various models\n <\/li>\n
                                                                                                                              • \n Divide fractions & mixed numbers, positive, real-world context\n <\/li>\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 <\/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 Modeling, Comparing, & Ordering Decimals \n <\/div>\n
                                                                                                                                        \n
                                                                                                                                      • \n Compare decimal models\n <\/li>\n
                                                                                                                                      • \n Compare decimal models, up to three models\n <\/li>\n
                                                                                                                                      • \n Order decimal models\n <\/li>\n
                                                                                                                                      • \n Condensed: Compare or order decimal models\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                      • \n
                                                                                                                                        \n Basic 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 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 Compare decimals on number line\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 decimals up to 1,000,000,000\n <\/li>\n
                                                                                                                                        • \n Condensed: Compare three- to six-digit whole numbers\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                        • \n
                                                                                                                                          \n Application of Comparing & Ordering Decimals\n <\/div>\n
                                                                                                                                            \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 up to three decimal places, including real-world context\n <\/li>\n
                                                                                                                                          • \n Order decimals from table of place values, 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 Condensed: Compare or order decimals, up to three decimal places, including real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                          • \n
                                                                                                                                            \n Converting Decimals\n <\/div>\n
                                                                                                                                              \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 Condensed: Determine & identify equivalent fractions & decimals, including models, including real-world context\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 <\/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 Condensed: Add & subtract decimals, up to two decimal places\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, including real-world context\n <\/li>\n
                                                                                                                                                          • \n Condensed: Add & subtract decimals, up to two decimal places, real-world context\n <\/li>\n
                                                                                                                                                          • \n Condensed: Add & subtract rational numbers, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                          • \n
                                                                                                                                                            \n Multiplication of Decimals\n <\/div>\n
                                                                                                                                                              \n
                                                                                                                                                            • \n
                                                                                                                                                              \n Basic Multiplication of Decimals\n <\/div>\n
                                                                                                                                                                \n
                                                                                                                                                              • \n Multiply decimals times one-digit whole numbers\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 decimals, products limited to two decimal places\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                              • \n
                                                                                                                                                                \n Application 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 <\/ul>\n <\/li>\n
                                                                                                                                                                • \n
                                                                                                                                                                  \n Division of Decimals\n <\/div>\n
                                                                                                                                                                    \n
                                                                                                                                                                  • \n
                                                                                                                                                                    \n Basic Division of Decimals\n <\/div>\n
                                                                                                                                                                      \n
                                                                                                                                                                    • \n Divide four-digit dividends by two-digit whole number divisors\n <\/li>\n
                                                                                                                                                                    • \n Divide decimals by whole numbers, up to two decimal places\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                    • \n
                                                                                                                                                                      \n Application of Division of Decimals\n <\/div>\n
                                                                                                                                                                        \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
                                                                                                                                                                      • \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 model representing decimal division, interpret model & determine quotient, including money\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 Condensed: Given model representing decimal division, interpret model & determine quotient, including real-world context\n <\/li>\n <\/ul>\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 tenth & hundredth, including real-world context\n <\/li>\n
                                                                                                                                                                          • \n Round decimal numbers to nearest whole, tenth, hundredth, & thousandth\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
                                                                                                                                                                          • \n Estimate sums, differences, & products of decimals & whole numbers by rounding to specified place values\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                          • \n
                                                                                                                                                                            \n Application of Rounding & Estimating Decimals\n <\/div>\n
                                                                                                                                                                              \n
                                                                                                                                                                            • \n Round decimal numbers to nearest whole, tenth, & hundredth, real-world context\n <\/li>\n
                                                                                                                                                                            • \n Round decimal numbers to nearest tenth & hundredth, real-world context\n <\/li>\n
                                                                                                                                                                            • \n Round numbers to nearest whole, ten, hundred, & thousand, real-world context\n <\/li>\n
                                                                                                                                                                            • \n Round decimal numbers to nearest tenth, hundredth, & thousandth, real-world context\n <\/li>\n
                                                                                                                                                                            • \n Condensed: Round decimal numbers to nearest whole, tenth, & hundredth, including real-world context\n <\/li>\n
                                                                                                                                                                            • \n Determine sums & differences of decimals then round solution, real-world context\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 Estimate sums, differences, products, or quotients of rational numbers\n <\/li>\n
                                                                                                                                                                            • \n Estimate sums, differences, products, or quotients of rational numbers, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                            • \n
                                                                                                                                                                              \n Number Lines\n <\/div>\n
                                                                                                                                                                                \n
                                                                                                                                                                              • \n Given range & increment, identify blank number line\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 0.1\n <\/li>\n
                                                                                                                                                                              • \n Identify or plot decimals on number lines, increment 0.2\n <\/li>\n
                                                                                                                                                                              • \n Plot decimals on number lines, increment 0.1 or 0.01\n <\/li>\n
                                                                                                                                                                              • \n Identify decimals on number lines, positive\n <\/li>\n
                                                                                                                                                                              • \n Identify decimals on number lines, positive, vertical number lines\n <\/li>\n
                                                                                                                                                                              • \n Identify or plot decimals or determine lengths on number line, increment 0.01\n <\/li>\n
                                                                                                                                                                              • \n Identify or plot fractions or determine lengths on number line\n <\/li>\n
                                                                                                                                                                              • \n Compare decimals on number line\n <\/li>\n
                                                                                                                                                                              • \n Identify & compare rational numbers on number lines, positive\n <\/li>\n
                                                                                                                                                                              • \n Determine location of rational numbers on number line\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                              • \n
                                                                                                                                                                                \n Number Sense\n <\/div>\n
                                                                                                                                                                                  \n
                                                                                                                                                                                • \n
                                                                                                                                                                                  \n Place Value\n <\/div>\n
                                                                                                                                                                                    \n
                                                                                                                                                                                  • \n
                                                                                                                                                                                    \n Basic Place Value\n <\/div>\n
                                                                                                                                                                                      \n
                                                                                                                                                                                    • \n Identify place value of specific digit\n <\/li>\n
                                                                                                                                                                                    • \n Identify place value of specific digit, decimals\n <\/li>\n
                                                                                                                                                                                    • \n Determine numerical value of specific digit\n <\/li>\n
                                                                                                                                                                                    • \n Determine product of number & power of 10\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                    • \n
                                                                                                                                                                                      \n Application of Place Value, Determine Value\n <\/div>\n
                                                                                                                                                                                        \n
                                                                                                                                                                                      • \n Determine values of digit in hundreds place, including comparison to other place values\n <\/li>\n
                                                                                                                                                                                      • \n Determine values of digit in thousands place, including comparison to other place values\n <\/li>\n
                                                                                                                                                                                      • \n Determine values of digit in ten-thousands place, including comparison to other place values\n <\/li>\n
                                                                                                                                                                                      • \n Determine values of digit in hundred-thousands place, including comparison to other place values\n <\/li>\n
                                                                                                                                                                                      • \n Condensed: Determine values of specific digits, including comparison to other place values\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                      • \n
                                                                                                                                                                                        \n Application of Place Value, Identify Number with Specific Digit\n <\/div>\n
                                                                                                                                                                                          \n
                                                                                                                                                                                        • \n Identify numbers with specific digit equal to 10 times digit to right\n <\/li>\n
                                                                                                                                                                                        • \n Identify numbers with specific digit equal to digit to right divided by 10\n <\/li>\n
                                                                                                                                                                                        • \n Identify numbers with ones digit equal to 100 times hundredths digit\n <\/li>\n
                                                                                                                                                                                        • \n Identify numbers with hundredths value equal to ones value divided by 100\n <\/li>\n
                                                                                                                                                                                        • \n Identify numbers with specific digit equal to digit to right divided by 10, 100, or 1,000\n <\/li>\n
                                                                                                                                                                                        • \n Identify whole numbers with specific digit equal to digit to right divided by 10, expanded notation\n <\/li>\n
                                                                                                                                                                                        • \n Identify numbers with specific digit equal to digit to right divided by 10, standard notation\n <\/li>\n
                                                                                                                                                                                        • \n Identify decimal numbers with specific digit equal to digit to right divided by 10, expanded notation\n <\/li>\n
                                                                                                                                                                                        • \n Condensed: Identify numbers with specific digit equal to digit to right divided by 10, including expanded notation\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                        • \n
                                                                                                                                                                                          \n Number Forms\n <\/div>\n
                                                                                                                                                                                            \n
                                                                                                                                                                                          • \n
                                                                                                                                                                                            \n Expanded Number Forms\n <\/div>\n
                                                                                                                                                                                              \n
                                                                                                                                                                                            • \n Determine equivalent representations of standard & expanded notations, whole numbers\n <\/li>\n
                                                                                                                                                                                            • \n Convert between standard & expanded notations, whole numbers\n <\/li>\n
                                                                                                                                                                                            • \n Convert between standard & expanded notations, whole numbers, real-world context\n <\/li>\n
                                                                                                                                                                                            • \n Determine equivalent representations of standard & expanded notations, decimals\n <\/li>\n
                                                                                                                                                                                            • \n Convert between standard & expanded notations, up to three decimal places\n <\/li>\n
                                                                                                                                                                                            • \n Convert between standard & expanded notations, up to three decimal places, real-world context\n <\/li>\n
                                                                                                                                                                                            • \n Convert between word, standard, & expanded notations, including real-world context\n <\/li>\n
                                                                                                                                                                                            • \n Condensed: Convert between standard & expanded notations, including place value words\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                            • \n
                                                                                                                                                                                              \n Standard Number Forms\n <\/div>\n
                                                                                                                                                                                                \n
                                                                                                                                                                                              • \n Given whole number in word form, determine standard notation\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                              • \n
                                                                                                                                                                                                \n Word Number Forms\n <\/div>\n
                                                                                                                                                                                                  \n
                                                                                                                                                                                                • \n Given number in word form, determine standard notation\n <\/li>\n
                                                                                                                                                                                                • \n Convert numbers to word form, up to 1,000,000\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                • \n
                                                                                                                                                                                                  \n Mixed Number Forms\n <\/div>\n
                                                                                                                                                                                                    \n
                                                                                                                                                                                                  • \n Condensed: Convert between word & expanded notations of decimals\n <\/li>\n
                                                                                                                                                                                                  • \n Condensed: Convert between word, standard, & expanded notations\n <\/li>\n
                                                                                                                                                                                                  • \n Convert between standard & expanded notation, fraction expansions, including real-world context\n <\/li>\n
                                                                                                                                                                                                  • \n Convert between word, standard, & expanded notation, fraction expansions, including real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                  • \n
                                                                                                                                                                                                    \n Powers of Ten\n <\/div>\n
                                                                                                                                                                                                      \n
                                                                                                                                                                                                    • \n Multiply whole numbers & powers of 10\n <\/li>\n
                                                                                                                                                                                                    • \n Multiply decimal numbers & powers of 10\n <\/li>\n
                                                                                                                                                                                                    • \n Multiply powers of 10 & products of one-digit whole numbers\n <\/li>\n
                                                                                                                                                                                                    • \n Condensed: Multiply powers of 10 & products involving one-digit whole numbers, including real-world context\n <\/li>\n
                                                                                                                                                                                                    • \n Multiply powers of 10 & product involving one-digit whole numbers, real-world context\n <\/li>\n
                                                                                                                                                                                                    • \n Divide decimal numbers by powers of 10\n <\/li>\n
                                                                                                                                                                                                    • \n Multiply & divide decimal numbers & powers of 10\n <\/li>\n
                                                                                                                                                                                                    • \n Determine magnitudes of products of powers of 10\n <\/li>\n
                                                                                                                                                                                                    • \n Determine magnitudes of products & quotients of powers of 10\n <\/li>\n
                                                                                                                                                                                                    • \n Determine magnitudes of products of powers of 10, including negative exponents\n <\/li>\n
                                                                                                                                                                                                    • \n Determine magnitudes of products & quotients of powers of 10, including negative exponents\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 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 <\/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 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 <\/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 <\/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 <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                    \n Expressions\n <\/div>\n
                                                                                                                                                                                                                      \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 definitions of arithmetic vocabulary, fill in the blank\n <\/li>\n
                                                                                                                                                                                                                      • \n Interpret numerical expressions\n <\/li>\n
                                                                                                                                                                                                                      • \n Given phrase, determine one-step algebraic expression\n <\/li>\n
                                                                                                                                                                                                                      • \n Determine algebraic expressions that represent real-world situations\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 Simplifying Expressions\n <\/div>\n
                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                          \n Basic Simplifying Expressions\n <\/div>\n
                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                          • \n Evaluate numerical expressions, #\/# + #\n <\/li>\n
                                                                                                                                                                                                                          • \n Evaluate numerical expressions, # + #(#)\n <\/li>\n
                                                                                                                                                                                                                          • \n Evaluate numerical expressions, including rationals & up to two sets of grouping symbols\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                            \n Application of Simplifying Expressions\n <\/div>\n
                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                            • \n Identify first steps in evaluating numerical expressions using grouping symbols\n <\/li>\n
                                                                                                                                                                                                                            • \n Identify equivalent expressions using order of operations\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
                                                                                                                                                                                                                            • \n Evaluate numerical expressions, up to two sets of grouping symbols, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                              \n Equations\n <\/div>\n
                                                                                                                                                                                                                                \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 <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                  \n Checking Equation 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 & constant on right side\n <\/li>\n
                                                                                                                                                                                                                                  • \n Identify values that solve equations\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                    \n Solving Equations\n <\/div>\n
                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                      \n Basic Solving Equations\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 Determine unknown whole number in multiplication & division equations\n <\/li>\n
                                                                                                                                                                                                                                      • \n Solve one-step linear equations, rationals\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                        \n Application of Solving Equations\n <\/div>\n
                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                        • \n Solve two-step equation with isolated variable, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                          \n Writing Equations\n <\/div>\n
                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                          • \n Determine one-step linear equations, real-world context\n <\/li>\n
                                                                                                                                                                                                                                          • \n Determine one-step linear equations, real-world context\n <\/li>\n
                                                                                                                                                                                                                                          • \n Determine one-step equations, including decimals, real-world context\n <\/li>\n
                                                                                                                                                                                                                                          • \n Given one-step equation, identify real-world situation represented by equation\n <\/li>\n
                                                                                                                                                                                                                                          • \n Identify multi-step equations, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                            \n Writing & Solving Equations\n <\/div>\n
                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                            • \n Determine, solve, & apply addition equations, real-world context\n <\/li>\n
                                                                                                                                                                                                                                            • \n Determine & solve multiplication equations, real-world context\n <\/li>\n
                                                                                                                                                                                                                                            • \n Determine, solve, & apply multiplication equations, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                              \n Patterns & Sequences\n <\/div>\n
                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                \n Verbal Descriptions\n <\/div>\n
                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                • \n Identify relationships between patterns\n <\/li>\n
                                                                                                                                                                                                                                                • \n Given description of pattern, determine first five terms\n <\/li>\n
                                                                                                                                                                                                                                                • \n Given description of patterns, determine first five terms for each pattern\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                  \n Function Tables\n <\/div>\n
                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                  • \n Determine missing elements in tables, addition\n <\/li>\n
                                                                                                                                                                                                                                                  • \n Determine missing elements in tables, subtraction\n <\/li>\n
                                                                                                                                                                                                                                                  • \n Determine missing elements in tables, multiplication\n <\/li>\n
                                                                                                                                                                                                                                                  • \n Determine specific element from pattern represented in table\n <\/li>\n
                                                                                                                                                                                                                                                  • \n Given table, determine relationship between input & output\n <\/li>\n
                                                                                                                                                                                                                                                  • \n Given table, determine & extend patterns, addition\n <\/li>\n
                                                                                                                                                                                                                                                  • \n Given table, determine & extend patterns, subtraction\n <\/li>\n
                                                                                                                                                                                                                                                  • \n Given table, determine & extend patterns, multiplication\n <\/li>\n
                                                                                                                                                                                                                                                  • \n Condensed: Given table, determine & extend patterns\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                    \n Graphs\n <\/div>\n
                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                    • \n Given graph of linear points, identify table \n <\/li>\n
                                                                                                                                                                                                                                                    • \n Given graph of linear points, identify table, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                    • \n Given graph or table, identify additive or multiplicative patterns\n <\/li>\n
                                                                                                                                                                                                                                                    • \n Determine & complete equivalent representations of linear equations, tables, & graphs\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                      \n Equations\n <\/div>\n
                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                      • \n Given linear equation, identify table, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                      • \n Given linear equation, identify table, including decimals\n <\/li>\n
                                                                                                                                                                                                                                                      • \n Given linear equation, identify table, including decimals & fractions \n <\/li>\n
                                                                                                                                                                                                                                                      • \n Given linear equation, identify table, including decimals & fractions, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                      • \n Condensed: Identify equivalent linear equations, tables, & graphs, including real-world context\n <\/li>\n
                                                                                                                                                                                                                                                      • \n Given multiplicative relationship in table, determine equation, real-world context\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 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 angles & parallel or perpendicular lines\n <\/li>\n
                                                                                                                                                                                                                                                          • \n Classify polygons based on number of sides or relationship to other shapes\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 Angles, Lines, & Rays\n <\/div>\n
                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                              • \n Identify angle names\n <\/li>\n
                                                                                                                                                                                                                                                              • \n Identify 90\u00b0, 180\u00b0, 270\u00b0, & 360\u00b0 angles\n <\/li>\n
                                                                                                                                                                                                                                                              • \n Estimate angle measures\n <\/li>\n
                                                                                                                                                                                                                                                              • \n Identify types of angles in figures\n <\/li>\n
                                                                                                                                                                                                                                                              • \n Determine angle measures in figures\n <\/li>\n
                                                                                                                                                                                                                                                              • \n Given two angle measures in triangle, determine angle measure\n <\/li>\n
                                                                                                                                                                                                                                                              • \n Identify angles, lines, & segments in figures\n <\/li>\n
                                                                                                                                                                                                                                                              • \n Identify characteristics of points, lines, segments & rays from diagrams\n <\/li>\n
                                                                                                                                                                                                                                                              • \n Identify characteristics of points, lines, segments & rays from descriptions\n <\/li>\n
                                                                                                                                                                                                                                                              • \n Condensed: Identify characteristics of points, lines, segments & rays\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                \n Measure Angles\n <\/div>\n
                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                • \n Identify angles with specified measures\n <\/li>\n
                                                                                                                                                                                                                                                                • \n Measure angles using protractor \n <\/li>\n
                                                                                                                                                                                                                                                                • \n Measure angles using protractor, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                  \n Perimeter\n <\/div>\n
                                                                                                                                                                                                                                                                    \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 Condensed: Determine perimeter of rectangles, including real-world context\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 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 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 Determine perimeter of polygons, including real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                      • \n Determine side length or perimeter of squares\n <\/li>\n
                                                                                                                                                                                                                                                                      • \n Determine perimeter of composite figures containing rectangles & squares, including real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                        \n Area\n <\/div>\n
                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                          \n Rectangle & Parallelogram Area\n <\/div>\n
                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                            \n Basic Area of Rectangles & Paralleograms\n <\/div>\n
                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                            • \n Given sides of rectangle, determine area, model provided\n <\/li>\n
                                                                                                                                                                                                                                                                            • \n Given sides of rectangle, determine area\n <\/li>\n
                                                                                                                                                                                                                                                                            • \n Given length & width of rectangle, determine area\n <\/li>\n
                                                                                                                                                                                                                                                                            • \n Determine area of rectangles with fractional dimensions\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 Determine area of parallelograms, model provided\n <\/li>\n
                                                                                                                                                                                                                                                                            • \n Determine area of parallelograms\n <\/li>\n
                                                                                                                                                                                                                                                                            • \n Given area & one dimension of parallelogram, determine missing dimension\n <\/li>\n
                                                                                                                                                                                                                                                                            • \n Determine areas of rectangles & parallelograms\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 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 Given sides of rectangle & cost per square unit, determine area & total cost, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                              • \n Determine area of parallelograms using models that decompose & rearrange parts\n <\/li>\n
                                                                                                                                                                                                                                                                              • \n Determine equations that represent area of parallelograms, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                              • \n Determine area of missing dimension of rectangles, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                              • \n Determine area of shaded region between nested rectangles\n <\/li>\n
                                                                                                                                                                                                                                                                              • \n Given perimeter & relationship between sides, determine specific dimension\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                \n Triangle Area\n <\/div>\n
                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                • \n Determine area of triangles using models that decompose & rearrange parts\n <\/li>\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 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
                                                                                                                                                                                                                                                                                • \n Given area & one dimension of triangle, determine missing dimension, mixed numbers\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                  \n Trapezoid Area\n <\/div>\n
                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                  • \n Determine area of trapezoids using models that decompose & rearrange parts\n <\/li>\n
                                                                                                                                                                                                                                                                                  • \n Determine area of trapezoids\n <\/li>\n
                                                                                                                                                                                                                                                                                  • \n Determine equations that represent area of trapezoids, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                  • \n Given area & base lengths of trapezoid, determine height\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                    \n Mixed & Composite Figure Area\n <\/div>\n
                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                    • \n Determine areas of triangles & trapezoids\n <\/li>\n
                                                                                                                                                                                                                                                                                    • \n Condensed: Determine area using models that decompose & rearrange parts\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 Given area, determine dimensions of triangles\n <\/li>\n
                                                                                                                                                                                                                                                                                    • \n Condensed: Determine areas & dimensions of triangles & trapezoids\n <\/li>\n
                                                                                                                                                                                                                                                                                    • \n Determine area of composite figures, rectangle with various figures attached, no circular parts\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                      \n Area & Perimeter\n <\/div>\n
                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                      • \n Determine area or perimeter of parallelograms\n <\/li>\n
                                                                                                                                                                                                                                                                                      • \n Condensed: Identify formula & determine perimeter or area of rectangles & squares\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 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 prisms using unit cubes\n <\/li>\n
                                                                                                                                                                                                                                                                                          • \n Determine volume of rectangular prisms using unit cubes\n <\/li>\n
                                                                                                                                                                                                                                                                                          • \n Determine volume of rectangular 3D figures using unit cubes\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                            \n Basic Volume\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, various representations\n <\/li>\n
                                                                                                                                                                                                                                                                                            • \n Determine volumes of rectangular prisms, fractional dimensions\n <\/li>\n
                                                                                                                                                                                                                                                                                            • \n Given base area & edge or all edges, determine volume of rectangular prism\n <\/li>\n
                                                                                                                                                                                                                                                                                            • \n Given volume, determine edges of rectangular prisms\n <\/li>\n
                                                                                                                                                                                                                                                                                            • \n Given volume, determine edge of rectangular prisms, up to four-digit dividend, up to two-digit divisor\n <\/li>\n
                                                                                                                                                                                                                                                                                            • \n Given volume, determine dimension of rectangular prism, fractional dimensions\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 <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                              \n Application of Volume\n <\/div>\n
                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                              • \n Interpret volume of rectangular prisms, various representations\n <\/li>\n
                                                                                                                                                                                                                                                                                              • \n Determine volume of rectangular prisms, whole numbers, including real-world context\n <\/li>\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 & apply associative property to volume expressions\n <\/li>\n
                                                                                                                                                                                                                                                                                              • \n Condensed: Determine volume or dimension of rectangular prisms, fractional dimensions\n <\/li>\n
                                                                                                                                                                                                                                                                                              • \n Determine volume of composite rectangular prisms\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                \n Coordinate Plane\n <\/div>\n
                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                  \n Basic Coordinate Plane\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 Plot first quadrant points\n <\/li>\n
                                                                                                                                                                                                                                                                                                  • \n Plot first quadrant points, various scales\n <\/li>\n
                                                                                                                                                                                                                                                                                                  • \n Determine coordinates of first quadrant rational points\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\n <\/div>\n
                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                    • \n Identify description of process to plot first quadrant points\n <\/li>\n
                                                                                                                                                                                                                                                                                                    • \n Identify first quadrant points or parts of coordinate plane\n <\/li>\n
                                                                                                                                                                                                                                                                                                    • \n Identify locations or parts of coordinate plane using first quadrant points\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 <\/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 Conversions\n <\/div>\n
                                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                                          • \n Convert between metric units of weight & mass\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Convert between metric units\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Convert between metric units, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Convert between customary units of weight & mass\n <\/li>\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 volume & capacity\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Convert between customary units of capacity\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Convert between customary units of length\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                                            \n Application of One-Step Conversions\n <\/div>\n
                                                                                                                                                                                                                                                                                                              \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 Convert between customary units, including real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                            • \n Convert between customary units of weight\n <\/li>\n
                                                                                                                                                                                                                                                                                                            • \n Convert between metric units of weight & determine appropriate relative units\n <\/li>\n
                                                                                                                                                                                                                                                                                                            • \n Convert between metric units of capacity & determine appropriate relative units\n <\/li>\n
                                                                                                                                                                                                                                                                                                            • \n Determine equivalent measurements using table\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                                              \n Application of Multi-Step Conversions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                                              • \n Convert between customary units of length & determine appropriate relative units\n <\/li>\n
                                                                                                                                                                                                                                                                                                              • \n Convert between metric units of length & determine appropriate relative units\n <\/li>\n
                                                                                                                                                                                                                                                                                                              • \n Convert between customary units, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                              • \n Condensed: Convert between customary units of length, weight, & capacity\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\n <\/li>\n
                                                                                                                                                                                                                                                                                                              • \n Convert between metric units of length, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                              • \n Condensed: Convert customary & metric 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 <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                                \n Application of Measurement\n <\/div>\n
                                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                                • \n Determine appropriate units or estimated measurement for specified situation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                • \n Add, subtract, & multiply integer masses, metric units, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                • \n Solve problems involving interpretation of various visual diagrams\n <\/li>\n
                                                                                                                                                                                                                                                                                                                • \n Add & subtract decimal distances, metric units, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                • \n Perform operations with money\n <\/li>\n
                                                                                                                                                                                                                                                                                                                • \n Add, subtract, multiply, & divide liquid volumes, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                • \n Condensed: Perform operations with money or units of measurement, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                                  \n Time\n <\/div>\n
                                                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                                                  • \n Determine time intervals\n <\/li>\n
                                                                                                                                                                                                                                                                                                                  • \n Convert between units of time, days, hours, minutes, & seconds\n <\/li>\n
                                                                                                                                                                                                                                                                                                                  • \n Convert between units of time, days, weeks, months, & years\n <\/li>\n
                                                                                                                                                                                                                                                                                                                  • \n Condensed: Convert between units of time\n <\/li>\n
                                                                                                                                                                                                                                                                                                                  • \n Condensed: Convert between units of time & determine time intervals\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                                                    \n Charts & Graphs\n <\/div>\n
                                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                                                      \n Translating Charts & Graphs\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 Given data represented in various ways, identify dot plot\n <\/li>\n
                                                                                                                                                                                                                                                                                                                      • \n Given bar graph, determine equivalent table\n <\/li>\n
                                                                                                                                                                                                                                                                                                                      • \n Given table, determine equivalent bar graph\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 Identify equivalent representations of data in tables & scatter plots\n <\/li>\n
                                                                                                                                                                                                                                                                                                                      • \n Given data, identify frequency table or determine missing element of table\n <\/li>\n
                                                                                                                                                                                                                                                                                                                      • \n Given data, determine statistical display\n <\/li>\n
                                                                                                                                                                                                                                                                                                                      • \n Given data, determine scatter plot\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                                                        \n Interpreting Charts & Graphs\n <\/div>\n
                                                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                                                          \n Stem-&-Leaf Plots\n <\/div>\n
                                                                                                                                                                                                                                                                                                                            \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 Frequency Tables\n <\/div>\n
                                                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                                                            • \n Solve one-step 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 problems from frequency tables, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                            • \n Solve multi-step problems from frequency tables, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                                                              \n Line Plots\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                \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 Add or subtract fractions from line plots, common denominator\n <\/li>\n
                                                                                                                                                                                                                                                                                                                              • \n Solve problems involving line plots & fractions\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 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 Scatter Plots\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                    \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 Mixed Charts & Graphs\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                                                    • \n Solve problems involving interpretation of various 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 Mean, Median, Mode, & Range\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                                                                        • \n Identify definition of mean, median, mode, or range\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                        • \n Determine mean from dot plots\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                        • \n Determine median from dot plots\n <\/li>\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 Determine mean, median, mode, & range\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                        • \n Determine mean, median, mode, & range from stem-&-leaf plots\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                                                                          \n Statistical Data\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                                                                          • \n Identify statistical questions\n <\/li>\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 biased samples & questions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                          • \n Identify samples & populations\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                                                                            \n Basic Probability\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                                                                            • \n Classify probabilities by levels of likelihood\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n Determine sample spaces\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n Determine probabilities of single events\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n Determine theoretical probabilities, fraction answers\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n Determine experimental probabilities, fraction answers\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n Determine probabilities & complementary probabilities of single events, including visual models\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n Determine predicted values, experimental probability\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n Determine number of combinations using fundamental counting principle, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n Determine number of combinations using fundamental counting principle, including repeated letters & digits, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                                                                              \n Financial Literacy\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                                                                              • \n Identify various types of taxes\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                              • \n Identify & determine gross & net incomes\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                              • \n Balance & determine components of transaction register\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                              • \n Identify actions to balance budget\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                              • \n Determine amounts to balance budget\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                              • \n Identify advantages & disadvantages of various payment methods\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n<\/div>\n\n\n\n
                                                                                                                                                                                                                                                                                                                                                <\/div>\n","protected":false},"excerpt":{"rendered":"

                                                                                                                                                                                                                                                                                                                                                5th Grade Skills VIEW ALL SKILLS Whole Numbers Addition of Whole Numbers Basic Addition of Whole Numbers Add positive integers, up to two digits 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 whole numbers, up to two…<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","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\/57365"}],"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=57365"}],"version-history":[{"count":3,"href":"https:\/\/getmoremath.com\/wp-json\/wp\/v2\/pages\/57365\/revisions"}],"predecessor-version":[{"id":95367,"href":"https:\/\/getmoremath.com\/wp-json\/wp\/v2\/pages\/57365\/revisions\/95367"}],"wp:attachment":[{"href":"https:\/\/getmoremath.com\/wp-json\/wp\/v2\/media?parent=57365"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}