Search the California Content Standards

Cluster:
Create equations that describe numbers or relationships. [Linear and exponential (integer inputs only); for A.CED.3, linear only]

Standard:
Create equations and inequalities in one variable including ones with absolute value and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. CA *

Cluster:
Create equations that describe numbers or relationships. [Linear and exponential (integer inputs only); for A.CED.3, linear only]

Standard:
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. *

Cluster:
Create equations that describe numbers or relationships. [Linear and exponential (integer inputs only); for A.CED.3, linear only]

Standard:
Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods. *

Cluster:
Create equations that describe numbers or relationships. [Linear and exponential (integer inputs only); for A.CED.3, linear only]

Standard:
Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R. *

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:
Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.

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:
Perform arithmetic operations on polynomials. [Beyond quadratic]

Standard:
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.