Examples for

Common Core Math: High School Algebra

Algebra is a foundational concept, not just in mathematics but in many scientific fields. Accordingly, algebraic thinking is central throughout students' math education. In high school, students practice more advanced methods for manipulating and solving algebraic expressions. The familiar prompt "solve for x" takes on new meaning as students learn additional methods for simplifying and factoring expressions with variables. Students learn how to perform arithmetic with polynomials and rational expressions, solve systems of equations and inequalities, and use algebraic equations to represent mathematical relationships in the world around them.

Seeing Structure in Expressions

Interpret and manipulate mathematical expressions.

Rewrite algebraic expressions (CCSS.Math.Content.HSA-SSE.A.2):

Factor to find zeros of quadratic expressions (CCSS.Math.Content.HSA-SSE.B.3a):

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Creating Equations

Use equations to describe mathematical relationships.

Write equations to represent relationships between variables (CCSS.Math.Content.HSA-CED.A.2):

Solve a formula or literal equation for a specific variable (CCSS.Math.Content.HSA-CED.A.4):

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Polynomials & Rational Expressions

Add, subtract, multiply and divide expressions with variables.

Multiply polynomials (CCSS.Math.Content.HSA-APR.A.1):

Perform polynomial division (CCSS.Math.Content.HSA-APR.D.6):

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Reasoning with Equations & Inequalities

Solve and interpret equations and inequalities.

Solve rational and radical equations (CCSS.Math.Content.HSA-REI.A.2):

Solve systems of equations by graphing (CCSS.Math.Content.HSA-REI.C.6):

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