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Showing 11 - 20 of 50 Standards

Standard Identifier: F-IF.8.b

Grade Range: 8–12
Domain: Interpreting Functions
Discipline: Math II
Conceptual Category: Functions

Cluster:
Analyze functions using different representations. [Linear, exponential, quadratic, absolute value, step, piecewise-defined]

Standard:
Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02)^t, y = (0.97)^t, y = (1.01)^12t, and y = (1.2)^t/10, and classify them as representing exponential growth or decay.

Standard Identifier: F-IF.9

Grade Range: 8–12
Domain: Interpreting Functions
Discipline: Math II
Conceptual Category: Functions

Cluster:
Analyze functions using different representations. [Linear, exponential, quadratic, absolute value, step, piecewise-defined]

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 graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.

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

Standard Identifier: N-RN.1

Grade Range: 8–12
Domain: The Real Number System
Discipline: Math II
Conceptual Category: Number and Quantity

Cluster:
Extend the properties of exponents to rational exponents.

Standard:
Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^1/3 to be the cube root of 5 because we want (5^1/3)^3 = 5(^1/3)^3 to hold, so (5^1/3)^3 must equal 5.

Standard Identifier: N-RN.2

Grade Range: 8–12
Domain: The Real Number System
Discipline: Math II
Conceptual Category: Number and Quantity

Cluster:
Extend the properties of exponents to rational exponents.

Standard:
Rewrite expressions involving radicals and rational exponents using the properties of exponents.

Showing 11 - 20 of 50 Standards


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