Search the California Content Standards

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.

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.

Cluster:
Analyze functions using different representations. [Linear and exponential]

Standard:
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

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.

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.

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.

Cluster:
Understand congruence and similarity using physical models, transparencies, or geometry software.

Standard:
Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.

Cluster:
Understand congruence and similarity using physical models, transparencies, or geometry software.

Standard:
Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

Cluster:
Understand congruence and similarity using physical models, transparencies, or geometry software.

Standard:
Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.

Cluster:
Understand congruence and similarity using physical models, transparencies, or geometry software.

Standard:
Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.