Search the California Content Standards

Cluster:
Summarize, represent, and interpret data on two categorical and quantitative variables. [Linear focus; discuss general principle.]

Standard:
Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. * Informally assess the fit of a function by plotting and analyzing residuals. *

Cluster:
Summarize, represent, and interpret data on two categorical and quantitative variables. [Linear focus; discuss general principle.]

Standard:
Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. * Fit a linear function for a scatter plot that suggests a linear association. *

Cluster:
Interpret linear models.

Standard:
Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. *

Cluster:
Interpret linear models.

Standard:
Compute (using technology) and interpret the correlation coefficient of a linear fit. *

Cluster:
Interpret linear models.

Standard:
Distinguish between correlation and causation. *

Cluster:
Experiment with transformations in the plane.

Standard:
Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

Cluster:
Prove geometric theorems. [Focus on validity of underlying reasoning while using variety of ways of writing proofs.]

Standard:
Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.

Cluster:
Prove geometric theorems. [Focus on validity of underlying reasoning while using variety of ways of writing proofs.]

Standard:
Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.

Cluster:
Make geometric constructions. [Formalize and explain processes.]

Standard:
Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.

Cluster:
Make geometric constructions. [Formalize and explain processes.]

Standard:
Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.