About Course

This course provides a comprehensive introduction to the principles and methods of polynomial factoring, as aligned with Algebra 1 curriculum standards. Students will explore foundational techniques for decomposing polynomial expressions, beginning with the identification and extraction of the greatest common factor and progressing through the factoring of simple trinomials and the difference of squares.

Through structured instruction, guided examples, and skill-based practice, students will develop procedural fluency and conceptual understanding of factoring as a core algebraic process. This course is ideal for students seeking to strengthen their algebraic reasoning and prepare for more advanced algebraic concepts in future coursework.

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What Will You Learn?

  • Build a strong foundation in algebra by mastering the basics of factoring
  • Learn how to break down math problems step-by-step instead of feeling overwhelmed
  • Discover multiple methods for factoring so your child can find the one that fits best
  • Recognize patterns and apply strategies to solve expressions with confidence
  • Apply factoring to real-world scenarios, not just textbook problems
  • Strengthen problem-solving skills that support success in Algebra 1 and 2
  • Boost test scores by preparing for common factoring questions on exams
  • Reduce math anxiety through clear explanations and guided practice
  • Gain confidence to tackle more advanced algebra topics later on
  • Develop critical thinking skills that extend beyond the classroom

Course Content

1. Introduction to Factoring
This section introduces the concept of factoring, its significance in algebra, and how it applies to solving equations and simplifying expressions. Students begin by understanding the "why" before moving to the "how."

  • 1.1 What is Factoring?
  • 1.2 When and Why Do We Factor?

2. Factoring Out the Greatest Common Factor (GCF)
Students will learn to identify and extract the GCF from polynomial expressions, the first and simplest method of factoring.

3. Factoring by Grouping
Students will explore how to group polynomial terms into pairs to factor expressions that don’t follow a standard trinomial pattern.

4. Factoring Trinomials
This section explores two types of trinomial factoring. First, students will learn to factor trinomials with a leading coefficient of 1 using factor pair strategies. Then, they’ll identify and factor perfect square trinomials by recognizing patterns and applying formulas.

5. Difference of Squares
This section teaches the pattern and shortcut for factoring the difference between two squared terms.

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