This three-lesson plan introduces 8th graders to the concept of factorization, starting with a basic understanding of what factors are, moving to specific techniques such as prime factorization, and finally applying these concepts to solve algebraic problems. By the end of the lessons, students should be able to use factorization as a tool for simplifying and solving mathematical expressions, reinforcing their algebraic skills and problem-solving abilities.
This lesson will introduce students to the concept of factorization and how it can be used to simplify algebraic expressions. Students will learn about different methods of factorization and apply them through guided practice and interactive activities. The lesson aims to equip students with essential skills for handling more complex algebraic problems in future mathematics courses.
Lesson 2: Prime Factorization and GCF
Overview
This lesson is designed to introduce eighth-grade students to the concept of prime factorization and how to determine the greatest common factor (GCF) of a set of numbers. The lesson will begin with a brief review of what prime numbers are and then move into the process of breaking down composite numbers into their prime factors. Students will learn how to apply these concepts to find the GCF, enhancing their algebraic skills and preparing them for more advanced work with factors and multiples.
Lesson 3: Applying Factorization in Solving Equations
Overview
In this lesson, students will learn how to apply their understanding of factorization to solve linear equations and simplify polynomial expressions. They will explore how factorization can make solving equations more efficient and give them deeper insights into algebraic expressions.
