Mathematics Standards
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Building Functions
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Creating Equations
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Expressing Geometric Properties with Equations
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Expressions and Equations
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Geometry
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Number and Operations—Fractions
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Showing 121 - 130 of 152 Standards
Standard Identifier: A-CED.2
Grade Range:
8–12
Domain:
Creating Equations
Discipline:
Math II
Conceptual Category:
Algebra
Cluster:
Create equations that describe numbers or relationships.
Standard:
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. *
Create equations that describe numbers or relationships.
Standard:
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. *
Standard Identifier: A-CED.4
Grade Range:
8–12
Domain:
Creating Equations
Discipline:
Math II
Conceptual Category:
Algebra
Cluster:
Create equations that describe numbers or relationships.
Standard:
Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. * [Include formulas involving quadratic terms.]
Create equations that describe numbers or relationships.
Standard:
Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. * [Include formulas involving quadratic terms.]
Standard Identifier: F-BF.1.a
Grade Range:
8–12
Domain:
Building Functions
Discipline:
Math II
Conceptual Category:
Functions
Cluster:
Build a function that models a relationship between two quantities. [Quadratic and exponential]
Standard:
Write a function that describes a relationship between two quantities. * Determine an explicit expression, a recursive process, or steps for calculation from a context. *
Build a function that models a relationship between two quantities. [Quadratic and exponential]
Standard:
Write a function that describes a relationship between two quantities. * Determine an explicit expression, a recursive process, or steps for calculation from a context. *
Standard Identifier: F-BF.1.b
Grade Range:
8–12
Domain:
Building Functions
Discipline:
Math II
Conceptual Category:
Functions
Cluster:
Build a function that models a relationship between two quantities. [Quadratic and exponential]
Standard:
Write a function that describes a relationship between two quantities. * Combine standard function types using arithmetic operations. *
Build a function that models a relationship between two quantities. [Quadratic and exponential]
Standard:
Write a function that describes a relationship between two quantities. * Combine standard function types using arithmetic operations. *
Standard Identifier: F-BF.3
Grade Range:
8–12
Domain:
Building Functions
Discipline:
Math II
Conceptual Category:
Functions
Cluster:
Build new functions from existing functions. [Quadratic, absolute value]
Standard:
Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
Build new functions from existing functions. [Quadratic, absolute value]
Standard:
Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
Standard Identifier: F-BF.4.a
Grade Range:
8–12
Domain:
Building Functions
Discipline:
Math II
Conceptual Category:
Functions
Cluster:
Build new functions from existing functions. [Quadratic, absolute value]
Standard:
Find inverse functions. Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x) =2x^3.
Build new functions from existing functions. [Quadratic, absolute value]
Standard:
Find inverse functions. Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x) =2x^3.
Standard Identifier: G-GPE.1
Grade Range:
8–12
Domain:
Expressing Geometric Properties with Equations
Discipline:
Math II
Conceptual Category:
Geometry
Cluster:
Translate between the geometric description and the equation for a conic section.
Standard:
Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.
Translate between the geometric description and the equation for a conic section.
Standard:
Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.
Standard Identifier: G-GPE.1
Grade Range:
8–12
Domain:
Expressing Geometric Properties with Equations
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Translate between the geometric description and the equation for a conic section.
Standard:
Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.
Translate between the geometric description and the equation for a conic section.
Standard:
Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.
Standard Identifier: G-GPE.2
Grade Range:
8–12
Domain:
Expressing Geometric Properties with Equations
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Translate between the geometric description and the equation for a conic section.
Standard:
Derive the equation of a parabola given a focus and directrix.
Translate between the geometric description and the equation for a conic section.
Standard:
Derive the equation of a parabola given a focus and directrix.
Standard Identifier: G-GPE.2
Grade Range:
8–12
Domain:
Expressing Geometric Properties with Equations
Discipline:
Math II
Conceptual Category:
Geometry
Cluster:
Translate between the geometric description and the equation for a conic section.
Standard:
Derive the equation of a parabola given a focus and directrix.
Translate between the geometric description and the equation for a conic section.
Standard:
Derive the equation of a parabola given a focus and directrix.
Showing 121 - 130 of 152 Standards
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