Mathematics Standards
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Showing 81 - 90 of 108 Standards
Standard Identifier: 5.NBT.6
Grade:
5
Domain:
Number and Operations in Base Ten
Cluster:
Perform operations with multi-digit whole numbers and with decimals to hundredths.
Standard:
Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Perform operations with multi-digit whole numbers and with decimals to hundredths.
Standard:
Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Standard Identifier: 5.NBT.7
Grade:
5
Domain:
Number and Operations in Base Ten
Cluster:
Perform operations with multi-digit whole numbers and with decimals to hundredths.
Standard:
Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
Perform operations with multi-digit whole numbers and with decimals to hundredths.
Standard:
Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
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: F-TF.8
Grade Range:
8–12
Domain:
Trigonometric Functions
Discipline:
Math II
Conceptual Category:
Functions
Cluster:
Prove and apply trigonometric identities.
Standard:
Prove the Pythagorean identity sin^2(θ ) + cos^2(θ ) = 1 and use it to find sin(θ ), cos(θ ), or tan(θ ) given sin(θ ), cos(θ ), or tan(θ ) and the quadrant of the angle.
Prove and apply trigonometric identities.
Standard:
Prove the Pythagorean identity sin^2(θ ) + cos^2(θ ) = 1 and use it to find sin(θ ), cos(θ ), or tan(θ ) given sin(θ ), cos(θ ), or tan(θ ) and the quadrant of the angle.
Standard Identifier: A-APR.1
Grade Range:
9–12
Domain:
Arithmetic with Polynomials and Rational Expressions
Discipline:
Math III
Conceptual Category:
Algebra
Cluster:
Perform arithmetic operations on polynomials. [Beyond 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. [Beyond 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:
9–12
Domain:
Arithmetic with Polynomials and Rational Expressions
Discipline:
Algebra II
Conceptual Category:
Algebra
Cluster:
Perform arithmetic operations on polynomials. [Beyond 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. [Beyond 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.2
Grade Range:
9–12
Domain:
Arithmetic with Polynomials and Rational Expressions
Discipline:
Algebra II
Conceptual Category:
Algebra
Cluster:
Understand the relationship between zeros and factors of polynomials.
Standard:
Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x).
Understand the relationship between zeros and factors of polynomials.
Standard:
Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x).
Standard Identifier: A-APR.2
Grade Range:
9–12
Domain:
Arithmetic with Polynomials and Rational Expressions
Discipline:
Math III
Conceptual Category:
Algebra
Cluster:
Understand the relationship between zeros and factors of polynomials.
Standard:
Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x).
Understand the relationship between zeros and factors of polynomials.
Standard:
Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x).
Standard Identifier: A-APR.3
Grade Range:
9–12
Domain:
Arithmetic with Polynomials and Rational Expressions
Discipline:
Math III
Conceptual Category:
Algebra
Cluster:
Understand the relationship between zeros and factors of polynomials.
Standard:
Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.
Understand the relationship between zeros and factors of polynomials.
Standard:
Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.
Showing 81 - 90 of 108 Standards
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