Mathematics Standards
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Building Functions
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Functions
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Geometry
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Making Inferences and Justifying Conclusions
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Modeling with Geometry
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The Complex Number System
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The Number System
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Showing 61 - 70 of 126 Standards
Standard Identifier: F-BF.3
Grade Range:
7–12
Domain:
Building Functions
Discipline:
Algebra I
Conceptual Category:
Functions
Cluster:
Build new functions from existing functions. [Linear, exponential, quadratic, and absolute value; for F.BF.4a, linear only]
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. [Linear, exponential, quadratic, and absolute value; for F.BF.4a, linear only]
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:
7–12
Domain:
Building Functions
Discipline:
Algebra I
Conceptual Category:
Functions
Cluster:
Build new functions from existing functions. [Linear, exponential, quadratic, and absolute value; for F.BF.4a, linear only]
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.
Build new functions from existing functions. [Linear, exponential, quadratic, and absolute value; for F.BF.4a, linear only]
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.
Standard Identifier: 8.F.1
Grade:
8
Domain:
Functions
Cluster:
Define, evaluate, and compare functions.
Standard:
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
Footnote:
Function notation is not required in grade 8.
Define, evaluate, and compare functions.
Standard:
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
Footnote:
Function notation is not required in grade 8.
Standard Identifier: 8.F.2
Grade:
8
Domain:
Functions
Cluster:
Define, evaluate, and compare functions.
Standard:
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.
Define, evaluate, and compare functions.
Standard:
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.
Standard Identifier: 8.F.3
Grade:
8
Domain:
Functions
Cluster:
Define, evaluate, and compare functions.
Standard:
Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s^2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
Define, evaluate, and compare functions.
Standard:
Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s^2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
Standard Identifier: 8.F.4
Grade:
8
Domain:
Functions
Cluster:
Use functions to model relationships between quantities.
Standard:
Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
Use functions to model relationships between quantities.
Standard:
Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
Standard Identifier: 8.F.5
Grade:
8
Domain:
Functions
Cluster:
Use functions to model relationships between quantities.
Standard:
Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.
Use functions to model relationships between quantities.
Standard:
Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.
Standard Identifier: 8.G.1.a
Grade:
8
Domain:
Geometry
Cluster:
Understand congruence and similarity using physical models, transparencies, or geometry software.
Standard:
Verify experimentally the properties of rotations, reflections, and translations: Lines are taken to lines, and line segments to line segments of the same length.
Understand congruence and similarity using physical models, transparencies, or geometry software.
Standard:
Verify experimentally the properties of rotations, reflections, and translations: Lines are taken to lines, and line segments to line segments of the same length.
Standard Identifier: 8.G.1.b
Grade:
8
Domain:
Geometry
Cluster:
Understand congruence and similarity using physical models, transparencies, or geometry software.
Standard:
Verify experimentally the properties of rotations, reflections, and translations: Angles are taken to angles of the same measure.
Understand congruence and similarity using physical models, transparencies, or geometry software.
Standard:
Verify experimentally the properties of rotations, reflections, and translations: Angles are taken to angles of the same measure.
Standard Identifier: 8.G.1.c
Grade:
8
Domain:
Geometry
Cluster:
Understand congruence and similarity using physical models, transparencies, or geometry software.
Standard:
Verify experimentally the properties of rotations, reflections, and translations: Parallel lines are taken to parallel lines.
Understand congruence and similarity using physical models, transparencies, or geometry software.
Standard:
Verify experimentally the properties of rotations, reflections, and translations: Parallel lines are taken to parallel lines.
Showing 61 - 70 of 126 Standards
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