Factoring and Lowest Common Multiple - Intro

This math unit begins by reinforcing the basic principles of factoring numbers, using Venn diagrams to visually understand and calculate the lowest common multiple (LCM) of two numbers. The initial focus is on utilizing populated Venn diagrams to find LCMs and prime factors, setting a foundation for understanding multiples and divisibility. As the unit progresses, students apply these skills more extensively by engaging in prime factorization to assess whether a number is a multiple of two others and identifying prime numbers from pairs. The practice evolves into calculating LCMs directly from factorizations and testing comprehension through multiple-choice questions. Concepts of factorization and LCM are thoroughly integrated throughout, with added complexity by including variables as factors and identifying distinct prime factors, enhancing the learner's ability to tackle arithmetic operations involving fractions and multiple numbers systematically. Sessions on determining prime numbers from pairs add a comparative aspect to recognize primes effectively, cementing a robust understanding of basic and advanced factoring techniques within arithmetic and pre-algebra contexts.