Mathematics Standards
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Showing 1 - 10 of 31 Standards
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: G-SRT.1.a
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Understand similarity in terms of similarity transformations.
Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
Understand similarity in terms of similarity transformations.
Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
Standard Identifier: G-SRT.1.a
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Math II
Conceptual Category:
Geometry
Cluster:
Understand similarity in terms of similarity transformations.
Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
Understand similarity in terms of similarity transformations.
Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
Standard Identifier: G-SRT.1.b
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Math II
Conceptual Category:
Geometry
Cluster:
Understand similarity in terms of similarity transformations.
Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
Understand similarity in terms of similarity transformations.
Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
Standard Identifier: G-SRT.1.b
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Understand similarity in terms of similarity transformations.
Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
Understand similarity in terms of similarity transformations.
Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
Standard Identifier: G-SRT.10
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Apply trigonometry to general triangles.
Standard:
(+) Prove the Laws of Sines and Cosines and use them to solve problems.
Apply trigonometry to general triangles.
Standard:
(+) Prove the Laws of Sines and Cosines and use them to solve problems.
Showing 1 - 10 of 31 Standards
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