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Mathematics Standards




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Showing 1 - 10 of 28 Standards

Standard Identifier: F-LE.1.a

Grade Range: 7–12
Domain: Linear, Quadratic, and Exponential Models
Discipline: Algebra I
Conceptual Category: Functions

Cluster:
Construct and compare linear, quadratic, and exponential models and solve problems.

Standard:
Distinguish between situations that can be modeled with linear functions and with exponential functions. * Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. *

Standard Identifier: F-LE.1.b

Grade Range: 7–12
Domain: Linear, Quadratic, and Exponential Models
Discipline: Algebra I
Conceptual Category: Functions

Cluster:
Construct and compare linear, quadratic, and exponential models and solve problems.

Standard:
Distinguish between situations that can be modeled with linear functions and with exponential functions. * Recognize situations in which one quantity changes at a constant rate per unit interval relative to another. *

Standard Identifier: F-LE.1.c

Grade Range: 7–12
Domain: Linear, Quadratic, and Exponential Models
Discipline: Algebra I
Conceptual Category: Functions

Cluster:
Construct and compare linear, quadratic, and exponential models and solve problems.

Standard:
Distinguish between situations that can be modeled with linear functions and with exponential functions. * Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another. *

Standard Identifier: F-LE.2

Grade Range: 7–12
Domain: Linear, Quadratic, and Exponential Models
Discipline: Algebra I
Conceptual Category: Functions

Cluster:
Construct and compare linear, quadratic, and exponential models and solve problems.

Standard:
Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table). *

Standard Identifier: F-LE.3

Grade Range: 7–12
Domain: Linear, Quadratic, and Exponential Models
Discipline: Algebra I
Conceptual Category: Functions

Cluster:
Construct and compare linear, quadratic, and exponential models and solve problems.

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.5

Grade Range: 7–12
Domain: Linear, Quadratic, and Exponential Models
Discipline: Algebra I
Conceptual Category: Functions

Cluster:
Interpret expressions for functions in terms of the situation they model.

Standard:
Interpret the parameters in a linear or exponential function in terms of a context. * [Linear and exponential of form f(x) = b^x + k]

Standard Identifier: F-LE.6

Grade Range: 7–12
Domain: Linear, Quadratic, and Exponential Models
Discipline: Algebra I
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 *

Standard Identifier: G-GMD.1

Grade Range: 8–12
Domain: Geometric Measurement and Dimension
Discipline: Geometry
Conceptual Category: Geometry

Cluster:
Explain volume formulas and use them to solve problems.

Standard:
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.

Standard Identifier: G-GMD.3

Grade Range: 8–12
Domain: Geometric Measurement and Dimension
Discipline: Geometry
Conceptual Category: Geometry

Cluster:
Explain volume formulas and use them to solve problems.

Standard:
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. *

Standard Identifier: G-GMD.4

Grade Range: 8–12
Domain: Geometric Measurement and Dimension
Discipline: Geometry
Conceptual Category: Geometry

Cluster:
Visualize relationships between two-dimensional and three-dimensional objects.

Standard:
Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.

Showing 1 - 10 of 28 Standards


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