Mathematics Standards
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Building Functions
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Expressing Geometric Properties with Equations
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Expressions and Equations
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Linear, Quadratic, and Exponential Models
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Similarity, Right Triangles, and Trigonometry
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Showing 51 - 60 of 110 Standards
Standard Identifier: 8.EE.8.b
Grade:
8
Domain:
Expressions and Equations
Cluster:
Analyze and solve linear equations and pairs of simultaneous linear equations.
Standard:
Analyze and solve pairs of simultaneous linear equations. Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.
Analyze and solve linear equations and pairs of simultaneous linear equations.
Standard:
Analyze and solve pairs of simultaneous linear equations. Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.
Standard Identifier: 8.EE.8.c
Grade:
8
Domain:
Expressions and Equations
Cluster:
Analyze and solve linear equations and pairs of simultaneous linear equations.
Standard:
Analyze and solve pairs of simultaneous linear equations. Solve real-world and mathematical problems leading to to linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.
Analyze and solve linear equations and pairs of simultaneous linear equations.
Standard:
Analyze and solve pairs of simultaneous linear equations. Solve real-world and mathematical problems leading to to linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.
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: F-LE.3
Grade Range:
8–12
Domain:
Linear, Quadratic, and Exponential Models
Discipline:
Math II
Conceptual Category:
Functions
Cluster:
Construct and compare linear, quadratic, and exponential models and solve problems. [Include quadratic.]
Standard:
Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function. *
Construct and compare linear, quadratic, and exponential models and solve problems. [Include quadratic.]
Standard:
Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function. *
Standard Identifier: F-LE.6
Grade Range:
8–12
Domain:
Linear, Quadratic, and Exponential Models
Discipline:
Math II
Conceptual Category:
Functions
Cluster:
Interpret expressions for functions in terms of the situation they model.
Standard:
Apply quadratic functions to physical problems, such as the motion of an object under the force of gravity. CA *
Interpret expressions for functions in terms of the situation they model.
Standard:
Apply quadratic functions to physical problems, such as the motion of an object under the force of gravity. CA *
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.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.
Showing 51 - 60 of 110 Standards
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