Unit 1: Simplifying Algebraic Expressions

Develop fluency in rewriting algebraic expressions into their simplest and most useful forms.

  • Reviewing Algebraic Terms
  • Combining Like Terms
  • The Distributive Property
  • Factoring Common Factors
  • Equivalent Algebraic Expressions

Unit 2: Manipulating Algebraic Fractions

Learn techniques for simplifying and working with fractions that contain algebraic expressions.

  • Understanding Algebraic Fractions
  • Simplifying Algebraic Fractions
  • Multiplying and Dividing Algebraic Fractions
  • Adding and Subtracting Algebraic Fractions
  • Applications of Algebraic Fractions

Unit 3: Algebraic Identities and Factorization

Recognize important algebraic patterns and use them to simplify expressions and solve problems efficiently.

  • Difference of Two Squares
  • Perfect Square Trinomials
  • Expanding Binomials
  • Factoring Quadratic Expressions
  • Algebraic Patterns and Identities

Unit 4: Rearranging Equations and Formulas

Develop the ability to isolate variables and manipulate equations used throughout mathematics and science.

  • Solving Literal Equations
  • Rearranging Scientific Formulae
  • Working with Formulas Containing Fractions
  • Rearranging Formulas with Powers and Roots
  • Applications of Formula Manipulation

Unit 5: Algebraic Problem Solving

Apply algebraic techniques to solve increasingly challenging mathematical and real-world problems.

  • Multi-Step Algebraic Problems
  • Algebraic Modeling
  • Solving Applied Equations
  • Choosing Efficient Algebraic Strategies
  • Integrated Algebra Challenge
 
 
Last modified: Saturday, 4 July 2026, 12:52 AM