Factoring and Venn Factor Diagrams - Practice

This math unit progressively develops students' understanding and skills in factorization using Venn diagrams and other methods. Initially, students learn to find distinct factors of two numbers using populated Venn diagrams that emphasize common factors, omitting unique ones. They then advance to finding the greatest common factor (GCF) through both diagram analysis and factorization, solidifying their understanding of shared factors across numbers. The unit extends their skills to three numbers, focusing on identifying shared prime factors and all distinct factors using Venn diagrams. Students also learn about prime recognition within number pairs, enhancing their ability to discern prime numbers from composites. Moreover, the unit covers the concepts of least common multiple (LCM) and prime factorization for checking multiples, which further refines their factorization skills and understanding of number relationships. Conclusively, the students engage in applying these factorization concepts practically, notably through exercises involving the determination of distinct factors and GCF.