Mathematics Standards
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Arithmetic with Polynomials and Rational Expressions
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Geometric Measurement and Dimension
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Number and Operations in Base Ten
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Operations and Algebraic Thinking
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Showing 71 - 80 of 98 Standards
Standard Identifier: 5.OA.2.1
Grade:
5
Domain:
Operations and Algebraic Thinking
Cluster:
Write and interpret numerical expressions.
Standard:
Express a whole number in the range 2–50 as a product of its prime factors. For example, find the prime factors of 24 and express 24 as 2 × 2 × 2 × 3. CA
Write and interpret numerical expressions.
Standard:
Express a whole number in the range 2–50 as a product of its prime factors. For example, find the prime factors of 24 and express 24 as 2 × 2 × 2 × 3. CA
Standard Identifier: 5.OA.3
Grade:
5
Domain:
Operations and Algebraic Thinking
Cluster:
Analyze patterns and relationships.
Standard:
Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.
Analyze patterns and relationships.
Standard:
Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.
Standard Identifier: A-APR.1
Grade Range:
7–12
Domain:
Arithmetic with Polynomials and Rational Expressions
Discipline:
Algebra I
Conceptual Category:
Algebra
Cluster:
Perform arithmetic operations on polynomials. [Linear and quadratic]
Standard:
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
Perform arithmetic operations on polynomials. [Linear and quadratic]
Standard:
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
Standard Identifier: A-APR.1
Grade Range:
8–12
Domain:
Arithmetic with Polynomials and Rational Expressions
Discipline:
Math II
Conceptual Category:
Algebra
Cluster:
Perform arithmetic operations on polynomials. [Polynomials that simplify to quadratics]
Standard:
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
Perform arithmetic operations on polynomials. [Polynomials that simplify to quadratics]
Standard:
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
Standard Identifier: G-GMD.1
Grade Range:
8–12
Domain:
Geometric Measurement and Dimension
Discipline:
Math II
Conceptual Category:
Geometry
Cluster:
Explain volume formulas and use them to solve problems.
Standard:
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
Explain volume formulas and use them to solve problems.
Standard:
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
Standard Identifier: G-GMD.1
Grade Range:
8–12
Domain:
Geometric Measurement and Dimension
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Explain volume formulas and use them to solve problems.
Standard:
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
Explain volume formulas and use them to solve problems.
Standard:
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
Standard Identifier: G-GMD.3
Grade Range:
8–12
Domain:
Geometric Measurement and Dimension
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Explain volume formulas and use them to solve problems.
Standard:
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. *
Explain volume formulas and use them to solve problems.
Standard:
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. *
Standard Identifier: G-GMD.3
Grade Range:
8–12
Domain:
Geometric Measurement and Dimension
Discipline:
Math II
Conceptual Category:
Geometry
Cluster:
Explain volume formulas and use them to solve problems.
Standard:
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. *
Explain volume formulas and use them to solve problems.
Standard:
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. *
Standard Identifier: G-GMD.4
Grade Range:
8–12
Domain:
Geometric Measurement and Dimension
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
Standard Identifier: G-GMD.5
Grade Range:
8–12
Domain:
Geometric Measurement and Dimension
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Know that the effect of a scale factor k greater than zero on length, area, and volume is to multiply each by k, k^2, and k^3, respectively; determine length, area and volume measures using scale factors. CA
Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Know that the effect of a scale factor k greater than zero on length, area, and volume is to multiply each by k, k^2, and k^3, respectively; determine length, area and volume measures using scale factors. CA
Showing 71 - 80 of 98 Standards
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