Mathematics Standards
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Arithmetic with Polynomials and Rational Expressions
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Expressing Geometric Properties with Equations
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Geometry
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Interpreting Functions
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Seeing Structure in Expressions
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Showing 71 - 80 of 140 Standards
Standard Identifier: 8.G.5
Grade:
8
Domain:
Geometry
Cluster:
Understand congruence and similarity using physical models, transparencies, or geometry software.
Standard:
Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.
Understand congruence and similarity using physical models, transparencies, or geometry software.
Standard:
Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.
Standard Identifier: 8.G.6
Grade:
8
Domain:
Geometry
Cluster:
Understand and apply the Pythagorean Theorem.
Standard:
Explain a proof of the Pythagorean Theorem and its converse.
Understand and apply the Pythagorean Theorem.
Standard:
Explain a proof of the Pythagorean Theorem and its converse.
Standard Identifier: 8.G.7
Grade:
8
Domain:
Geometry
Cluster:
Understand and apply the Pythagorean Theorem.
Standard:
Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
Understand and apply the Pythagorean Theorem.
Standard:
Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
Standard Identifier: 8.G.8
Grade:
8
Domain:
Geometry
Cluster:
Understand and apply the Pythagorean Theorem.
Standard:
Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
Understand and apply the Pythagorean Theorem.
Standard:
Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
Standard Identifier: 8.G.9
Grade:
8
Domain:
Geometry
Cluster:
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
Standard:
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
Standard:
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
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: A-SSE.1.a
Grade Range:
8–12
Domain:
Seeing Structure in Expressions
Discipline:
Math II
Conceptual Category:
Algebra
Cluster:
Interpret the structure of expressions. [Quadratic and exponential]
Standard:
Interpret expressions that represent a quantity in terms of its context. * Interpret parts of an expression, such as terms, factors, and coefficients. *
Interpret the structure of expressions. [Quadratic and exponential]
Standard:
Interpret expressions that represent a quantity in terms of its context. * Interpret parts of an expression, such as terms, factors, and coefficients. *
Standard Identifier: A-SSE.1.b
Grade Range:
8–12
Domain:
Seeing Structure in Expressions
Discipline:
Math II
Conceptual Category:
Algebra
Cluster:
Interpret the structure of expressions. [Quadratic and exponential]
Standard:
Interpret expressions that represent a quantity in terms of its context. * Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1 + r)^n as the product of P and a factor not depending on P. *
Interpret the structure of expressions. [Quadratic and exponential]
Standard:
Interpret expressions that represent a quantity in terms of its context. * Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1 + r)^n as the product of P and a factor not depending on P. *
Standard Identifier: A-SSE.2
Grade Range:
8–12
Domain:
Seeing Structure in Expressions
Discipline:
Math II
Conceptual Category:
Algebra
Cluster:
Interpret the structure of expressions. [Quadratic and exponential]
Standard:
Use the structure of an expression to identify ways to rewrite it. For example, see x^4 – y^4 as (x^2)^2 – (y^2)^2, thus recognizing it as a difference of squares that can be factored as (x^2 – y^2)(x^2 + y^2).
Interpret the structure of expressions. [Quadratic and exponential]
Standard:
Use the structure of an expression to identify ways to rewrite it. For example, see x^4 – y^4 as (x^2)^2 – (y^2)^2, thus recognizing it as a difference of squares that can be factored as (x^2 – y^2)(x^2 + y^2).
Standard Identifier: A-SSE.3.a
Grade Range:
8–12
Domain:
Seeing Structure in Expressions
Discipline:
Math II
Conceptual Category:
Algebra
Cluster:
Write expressions in equivalent forms to solve problems. [Quadratic and exponential]
Standard:
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.* Factor a quadratic expression to reveal the zeros of the function it defines.*
Write expressions in equivalent forms to solve problems. [Quadratic and exponential]
Standard:
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.* Factor a quadratic expression to reveal the zeros of the function it defines.*
Showing 71 - 80 of 140 Standards
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