Mathematics Standards
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Interpreting Categorical and Quantitative Data
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Linear, Quadratic, and Exponential Models
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Measurement and Data
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Number and Operations—Fractions
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Quantities
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Similarity, Right Triangles, and Trigonometry
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Trigonometric Functions
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Showing 71 - 80 of 173 Standards
Standard Identifier: 5.NF.5.b
Grade:
5
Domain:
Number and Operations—Fractions
Cluster:
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Standard:
Interpret multiplication as scaling (resizing), by: Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n × a)/(n × b) to the effect of multiplying a/b by 1.
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Standard:
Interpret multiplication as scaling (resizing), by: Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n × a)/(n × b) to the effect of multiplying a/b by 1.
Standard Identifier: 5.NF.6
Grade:
5
Domain:
Number and Operations—Fractions
Cluster:
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Standard:
Solve real-world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Standard:
Solve real-world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
Standard Identifier: 5.NF.7.a
Grade:
5
Domain:
Number and Operations—Fractions
Cluster:
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Standard:
Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 = 1/3.
Footnote:
Students able to multiply fractions in general can develop strategies to divide fractions in general, by reasoning about the relationship between multiplication and division. But division of a fraction by a fraction is not a requirement at this grade.
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Standard:
Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 = 1/3.
Footnote:
Students able to multiply fractions in general can develop strategies to divide fractions in general, by reasoning about the relationship between multiplication and division. But division of a fraction by a fraction is not a requirement at this grade.
Standard Identifier: 5.NF.7.b
Grade:
5
Domain:
Number and Operations—Fractions
Cluster:
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Standard:
Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 × (1/5) = 4.
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Standard:
Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 × (1/5) = 4.
Standard Identifier: 5.NF.7.c
Grade:
5
Domain:
Number and Operations—Fractions
Cluster:
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Standard:
Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Solve real-world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Standard:
Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Solve real-world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?
Standard Identifier: F-LE.1.a
Grade Range:
7–12
Domain:
Linear, Quadratic, and Exponential Models
Discipline:
Math I
Conceptual Category:
Functions
Cluster:
Construct and compare linear, quadratic, and exponential models and solve problems. [Linear and exponential]
Standard:
Distinguish between situations that can be modeled with linear functions and with exponential functions. * Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. *
Construct and compare linear, quadratic, and exponential models and solve problems. [Linear and exponential]
Standard:
Distinguish between situations that can be modeled with linear functions and with exponential functions. * Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. *
Standard Identifier: F-LE.1.a
Grade Range:
7–12
Domain:
Linear, Quadratic, and Exponential Models
Discipline:
Algebra I
Conceptual Category:
Functions
Cluster:
Construct and compare linear, quadratic, and exponential models and solve problems.
Standard:
Distinguish between situations that can be modeled with linear functions and with exponential functions. * Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. *
Construct and compare linear, quadratic, and exponential models and solve problems.
Standard:
Distinguish between situations that can be modeled with linear functions and with exponential functions. * Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. *
Standard Identifier: F-LE.1.b
Grade Range:
7–12
Domain:
Linear, Quadratic, and Exponential Models
Discipline:
Algebra I
Conceptual Category:
Functions
Cluster:
Construct and compare linear, quadratic, and exponential models and solve problems.
Standard:
Distinguish between situations that can be modeled with linear functions and with exponential functions. * Recognize situations in which one quantity changes at a constant rate per unit interval relative to another. *
Construct and compare linear, quadratic, and exponential models and solve problems.
Standard:
Distinguish between situations that can be modeled with linear functions and with exponential functions. * Recognize situations in which one quantity changes at a constant rate per unit interval relative to another. *
Standard Identifier: F-LE.1.b
Grade Range:
7–12
Domain:
Linear, Quadratic, and Exponential Models
Discipline:
Math I
Conceptual Category:
Functions
Cluster:
Construct and compare linear, quadratic, and exponential models and solve problems. [Linear and exponential]
Standard:
Distinguish between situations that can be modeled with linear functions and with exponential functions. * Recognize situations in which one quantity changes at a constant rate per unit interval relative to another. *
Construct and compare linear, quadratic, and exponential models and solve problems. [Linear and exponential]
Standard:
Distinguish between situations that can be modeled with linear functions and with exponential functions. * Recognize situations in which one quantity changes at a constant rate per unit interval relative to another. *
Standard Identifier: F-LE.1.c
Grade Range:
7–12
Domain:
Linear, Quadratic, and Exponential Models
Discipline:
Math I
Conceptual Category:
Functions
Cluster:
Construct and compare linear, quadratic, and exponential models and solve problems. [Linear and exponential]
Standard:
Distinguish between situations that can be modeled with linear functions and with exponential functions. * Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another. *
Construct and compare linear, quadratic, and exponential models and solve problems. [Linear and exponential]
Standard:
Distinguish between situations that can be modeled with linear functions and with exponential functions. * Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another. *
Showing 71 - 80 of 173 Standards
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