Addition, Subtraction, Multiplication and Division - Common Factors - Worksheet

The worksheet titled "Common Factors" is designed to enhance students' proficiency and precision in identifying common factors between numbers. The National Curriculum objective for this lesson is to identify common factors, and the resources provided include differentiated worksheets and teaching slides for varied levels of understanding. Key vocabulary terms such as factors, common factors, arrays, mental methods, multiples, and Venn diagram are emphasised to aid comprehension. Students are encouraged to find common factors of two numbers using mental methods and knowledge of multiples, while arrays and other representations are also available for those who need them. Results can be displayed using Venn diagrams and tables to visually represent the commonalities between the factors of given numbers.

As part of the learning process, students are prompted with key questions to ensure a thorough understanding of the concepts. They are asked to consider whether they have found all the factors of a number and if they have employed a systematic approach. Additionally, they are encouraged to explain their method to a partner and to discuss how a Venn diagram can illustrate common factors. The worksheet provides opportunities for reasoning and problem-solving, with tasks that require students to identify common factors of pairs of numbers, determine which number is the odd one out based on its factors, and suggest possible numbers given a set of common factors. The worksheet is structured to support students working towards expected levels, working within them, and those demonstrating greater depth of understanding.