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Understanding Factors and Multiples

Author

Kendra

Subject

Mathematics

Difficulty

6th Grade

Prompt used to create this resource

Create a lesson plan for 6th grade special education students working at 3rd-4th grade math levels, focusing on building number sense through progressively complex visual models. Design the instruction with substantial scaffolding that gradually transfers responsibility to students, incorporating concrete manipulatives before moving to pictorial representations and finally abstract concepts. Include multiple colorful graphs and charts that clearly illustrate mathematical relationships in ways th...

Description

This resource covers the fundamental concepts of factors and multiples, specifically defining what a factor is as a number that divides another number exactly, with examples provided. It introduces common factors, including exercises for students to build rectangles using tiles to understand the factors of given numbers (12, 16, 18). The document also includes visual aids like Venn diagrams to represent common factors graphically for the numbers 24 and 30. Furthermore, it explains prime factorization through factor trees and provides practice opportunities for students to complete factor trees for different numbers (24, 6, 18). The concepts of the Greatest Common Factor (GCF) and the Least Common Multiple (LCM) are introduced with examples demonstrating how to calculate them. Additional exercises encourage students to independently find GCFs and LCMs for various pairs of numbers, solidifying their understanding of factors and multiples.

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