Search the California Content Standards

Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations and functions]

Standard:
Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.*

Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations and functions]

Standard:
Define appropriate quantities for the purpose of descriptive modeling.*

Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations and functions]

Standard:
Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.*

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.

Cluster:
Explain volume formulas and use them to solve problems.

Standard:
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. *

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

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

Cluster:
Understand similarity in terms of similarity transformations.

Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.

Cluster:
Understand similarity in terms of similarity transformations.

Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: The dilation of a line segment is longer or shorter in the ratio given by the scale factor.

Cluster:
Understand similarity in terms of similarity transformations.

Standard:
Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.