Mathematics Standards
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Linear, Quadratic, and Exponential Models
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Number and Operations—Fractions
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Operations and Algebraic Thinking
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Quantities
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Trigonometric Functions
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Showing 31 - 40 of 104 Standards
Standard Identifier: 3.OA.7
Grade:
3
Domain:
Operations and Algebraic Thinking
Cluster:
Multiply and divide within 100.
Standard:
Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
Multiply and divide within 100.
Standard:
Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
Standard Identifier: 3.OA.8
Grade:
3
Domain:
Operations and Algebraic Thinking
Cluster:
Solve problems involving the four operations, and identify and explain patterns in arithmetic.
Standard:
Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
Footnote:
This standard is limited to problems posed with whole numbers and having whole-number answers; students should know how to perform operations in the conventional order when there are no parentheses to specify a particular order (Order of Operations).
Solve problems involving the four operations, and identify and explain patterns in arithmetic.
Standard:
Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
Footnote:
This standard is limited to problems posed with whole numbers and having whole-number answers; students should know how to perform operations in the conventional order when there are no parentheses to specify a particular order (Order of Operations).
Standard Identifier: 3.OA.9
Grade:
3
Domain:
Operations and Algebraic Thinking
Standard:
Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends.
Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends.
Standard Identifier: 4.NF.1
Grade:
4
Domain:
Number and Operations—Fractions
Cluster:
Extend understanding of fraction equivalence and ordering.
Standard:
Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.
Footnote:
Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
Extend understanding of fraction equivalence and ordering.
Standard:
Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.
Footnote:
Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
Standard Identifier: 4.NF.2
Grade:
4
Domain:
Number and Operations—Fractions
Cluster:
Extend understanding of fraction equivalence and ordering.
Standard:
Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
Extend understanding of fraction equivalence and ordering.
Standard:
Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
Standard Identifier: 4.NF.3.a
Grade:
4
Domain:
Number and Operations—Fractions
Cluster:
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Standard:
Understand a fraction a/b with a > 1 as a sum of fractions 1/b. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Standard:
Understand a fraction a/b with a > 1 as a sum of fractions 1/b. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
Standard Identifier: 4.NF.3.b
Grade:
4
Domain:
Number and Operations—Fractions
Cluster:
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Standard:
Understand a fraction a/b with a > 1 as a sum of fractions 1/b. Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Standard:
Understand a fraction a/b with a > 1 as a sum of fractions 1/b. Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.
Standard Identifier: 4.NF.3.c
Grade:
4
Domain:
Number and Operations—Fractions
Cluster:
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Standard:
Understand a fraction a/b with a > 1 as a sum of fractions 1/b. Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Standard:
Understand a fraction a/b with a > 1 as a sum of fractions 1/b. Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.
Standard Identifier: 4.NF.3.d
Grade:
4
Domain:
Number and Operations—Fractions
Cluster:
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Standard:
Understand a fraction a/b with a > 1 as a sum of fractions 1/b. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Standard:
Understand a fraction a/b with a > 1 as a sum of fractions 1/b. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.
Standard Identifier: 4.NF.4.a
Grade:
4
Domain:
Number and Operations—Fractions
Cluster:
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Standard:
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Standard:
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).
Showing 31 - 40 of 104 Standards
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