Mathematics Standards
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Arithmetic with Polynomials and Rational Expressions
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Circles
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Modeling with Geometry
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Quantities
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Trigonometric Functions
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Using Probability to Make Decisions
Results
Showing 11 - 20 of 43 Standards
Standard Identifier: G-MG.3
Grade Range:
8–12
Domain:
Modeling with Geometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Apply geometric concepts in modeling situations.
Standard:
Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios). *
Apply geometric concepts in modeling situations.
Standard:
Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios). *
Standard Identifier: S-MD.6
Grade Range:
8–12
Domain:
Using Probability to Make Decisions
Discipline:
Geometry
Conceptual Category:
Statistics and Probability
Cluster:
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *
Standard Identifier: S-MD.7
Grade Range:
8–12
Domain:
Using Probability to Make Decisions
Discipline:
Geometry
Conceptual Category:
Statistics and Probability
Cluster:
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). *
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). *
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.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.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.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.3
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:
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.
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.
Standard Identifier: A-APR.4
Grade Range:
9–12
Domain:
Arithmetic with Polynomials and Rational Expressions
Discipline:
Math III
Conceptual Category:
Algebra
Cluster:
Use polynomial identities to solve problems.
Standard:
Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x^2 + y^2)^2= (x^2 – y^2)^2 + (2xy)^2 can be used to generate Pythagorean triples.
Use polynomial identities to solve problems.
Standard:
Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x^2 + y^2)^2= (x^2 – y^2)^2 + (2xy)^2 can be used to generate Pythagorean triples.
Showing 11 - 20 of 43 Standards
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