Search the California Content Standards

Cluster:
Solve equations and inequalities in one variable. [Linear inequalities; literal equations that are linear in the variables being solved for; quadratics with real solutions]

Standard:
Solve one-variable equations and inequalities involving absolute value, graphing the solutions and interpreting them in context. CA

Cluster:
Solve equations and inequalities in one variable. [Linear inequalities; literal equations that are linear in the variables being solved for; quadratics with real solutions]

Standard:
Solve quadratic equations in one variable. Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)^2 = q that has the same solutions. Derive the quadratic formula from this form.

Cluster:
Solve equations and inequalities in one variable. [Linear inequalities; literal equations that are linear in the variables being solved for; quadratics with real solutions]

Standard:
Solve quadratic equations in one variable. Solve quadratic equations by inspection (e.g., for x^2 = 49), taking square roots, completing the square, the quadratic formula, and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.

Cluster:
Solve systems of equations. [Linear-linear and linear-quadratic]

Standard:
Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.

Cluster:
Solve systems of equations. [Linear-linear and linear-quadratic]

Standard:
Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

Cluster:
Solve systems of equations. [Linear-linear and linear-quadratic]

Standard:
Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically.

Cluster:
Interpret the structure of expressions. [Linear, exponential, and quadratic]

Standard:
Interpret expressions that represent a quantity in terms of its context.* Interpret parts of an expression, such as terms, factors, and coefficients.*

Cluster:
Interpret the structure of expressions. [Linear, exponential, and quadratic]

Standard:
Interpret expressions that represent a quantity in terms of its context.* Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1 + r)^n as the product of P and a factor not depending on P.*

Cluster:
Interpret the structure of expressions. [Linear, exponential, and quadratic]

Standard:
Use the structure of an expression to identify ways to rewrite it.

Cluster:
Write expressions in equivalent forms to solve problems. [Quadratic and exponential]

Standard:
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.* Factor a quadratic expression to reveal the zeros of the function it defines.*