Factors, Multiples, Primes, HCF and LCM Lesson | KS3 & GCSE Maths

Year 7 Maths: Factors, multiples and primes (Unit 2 Number skills, Lesson 7) – Complete Lesson, Worksheet & Answers

SHORT SUMMARY (resource summary box)
A complete, fully editable Year 7 lesson on factors, multiples and primes: 67 teaching slides, a differentiated Mild/Medium/Hot worksheet with 9 questions, 5 GCSE-style exam questions with a mark scheme, and full answers.

DESCRIPTION
Students find multiples and the lowest common multiple (LCM), list factor pairs to find the highest common factor (HCF), and recognise prime numbers.

Learning objectives
• Identify multiples and find the lowest common multiple (LCM)
• List factor pairs and find the highest common factor (HCF)
• Recognise prime numbers

What’s included
• PowerPoint: 67 teaching slides plus hidden teacher and cover notes and optional “more practice” slides
• Do Now (four retrieval questions from earlier topics) with solutions
• Prior knowledge checks for mini-whiteboards, with answers on click
• New material followed by I do → We do → You do for each key idea (You do slides have 30-second timers)
• Quick practice in books, from fully supported to challenge
• Differentiated worksheet (Word): 9 questions across Mild (step-by-step), Medium (hints) and Hot (no hints), plus a Finished? extension challenge
• 5 GCSE-style exam questions (8 marks) with a mark scheme labelled M1, A1, B1, P1 and C1
• Solutions slides after every level, and full teacher answers at the back of the worksheet
• Exit ticket with answers

Why teachers like it
• Planned as a 2-hour lesson, easy to cut to 1 hour (instructions on the hidden teacher slide)
• Every table and diagram is native and editable: change the numbers in seconds
• Timings and voice levels on every slide; answers appear on click
• Clear, consistent design and a lesson-by-lesson progress tracker on the title slide
• Cover-friendly: a non-specialist can follow the teacher notes

Part of the Year 7 Unit 2 Number skills series (10 lessons). More resources: https://www.tes.com/teaching-resources/shop/osmith25