Factoring and Lowest Common Multiple - Advanced

This math unit progressively builds upon understanding prime factorization and factoring skills through various applications. Initially, students apply prime factorization to verify if one number is a multiple of others. Enhancing this base, they tackle similar problems using variables as factors, exploring more complex algebraic expressions. The unit proceeds to deepen comprehension of factor trees, where students identify prime factors extensively. Advancing further, the unit focuses on utilizing Venn diagrams and low-tech visual aids to determine the Lowest Common Multiple (LCM) and understanding distinct prime factors when factoring multiple numbers simultaneously. By analyzing various populated and theoretical sets, learners systematically identify LCMs and distinguish necessary prime factors across different scenarios. Finally, the course engages students in implementing Venn diagrams to find distinct factors and the greatest common factors (GCF), alongside nurturing their capability to analyze factorization through multiple choice challenges and factor tree construction, solidifying their skills in handling complex factoring and number theory tasks.Skills you will learn include:

• Prime factors
• Factorization
• Distinct factors
• Lowest common multiple
• Working with 3 numbers