High School: Algebra » Introduction

Algebra Overview

1- Seeing Structure in Expressions

  • Interpret the structure of expressions
  • Write expressions in equivalent forms to solve problems

2- Arithmetic with Polynomials and Rational Functions

  • Perform arithmetic operations on polynomials
  • Understand the relationship between zeros and factors of polynomials
  • Use polynomial identities to solve problems
  • Rewrite rational functions

3- Creating Equations

  • Create equations that describe numbers or relationships

4- Reasoning with Equations and Inequalities

  • Understand solving equations as a process of reasoning and explain the reasoning
  • Solve equations and inequalities in one variable
  • Solve systems of equations
  • Represent and solve equations and inequalities graphically

Mathematical Practices

  1. Make sense of problems and persevere in solving them.
  2. Reason abstractly and quantitatively.
  3. Construct viable arguments and critique the reasoning of others.
  4. Model with mathematics.
  5. Use appropriate tools strategically.
  6. Attend to precision.
  7. Look for and make use of structure.
  8. Look for and express regularity in repeated reasoning


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