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Showing 1 - 10 of 36 Standards

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. *

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. *

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.

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.

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. *

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 *

Standard Identifier: G-GMD.1

Grade Range: 8–12
Domain: Geometric Measurement and Dimension
Discipline: Math II
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: Math II
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.5

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

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

Standard:
Know that the effect of a scale factor k greater than zero on length, area, and volume is to multiply each by k, k^2, and k^3, respectively; determine length, area and volume measures using scale factors. CA

Standard Identifier: G-GMD.6

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

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

Standard:
Verify experimentally that in a triangle, angles opposite longer sides are larger, sides opposite larger angles are longer, and the sum of any two side lengths is greater than the remaining side length; apply these relationships to solve realworld and mathematical problems. CA

Showing 1 - 10 of 36 Standards


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