Original PromptCreate a 4 page worksheet on the attached lesson. Do not omit answer key and this needs to be included on a seperate page at the end. Differentiate throughout.
This resource focuses on mastering the concepts of Highest Common Factor (HCF) and Lowest Common Multiple (LCM) through various methods including prime factor decomposition and the use of Venn diagrams. Students will learn to calculate HCF and LCM, apply these concepts to practical problems, and reflect on their understanding through structured practice and real-world applications. The document is divided into several parts: breaking down numbers into prime factors, converting these factors to index notation, using Venn diagrams for larger numbers, and applying HCF and LCM in real-world scenarios such as organizing items into equal groups or determining the timing of recurring events. It also includes advanced challenges and reasoning tasks to deepen understanding.