Search the California Content Standards

Cluster:
Analyze proportional relationships and use them to solve real-world and mathematical problems.

Standard:
Recognize and represent proportional relationships between quantities. Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.

Cluster:
Analyze proportional relationships and use them to solve real-world and mathematical problems.

Standard:
Recognize and represent proportional relationships between quantities. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

Cluster:
Analyze proportional relationships and use them to solve real-world and mathematical problems.

Standard:
Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

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.