Without Panic Maths · Algebra 8

Factorising Basics

Find what every term shares, take it outside the bracket, put the leftovers inside, then check

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Mini-lessons
8
Questions
111
Student Pack
56 pages
Suggested year
Year 8

What you get

  • Student Pack (PDF, 56 pages)
  • Teacher Pack (PDF) with every answer and reteach cards
  • Print as many copies as you need for your own pupils

Save with a bundle

  • Expressions, Factorising & Powers7 packs · £21 £19
  • Algebra, Year 819 packs · £66.50 £59
  • Algebra: complete strand48 packs · £161 £142

What this pack does

What pupils learn

Factorising is a bit like packing algebra back into a suitcase. Expanding opens the suitcase and shows everything inside. Factorising looks at the expression, spots what the terms share, and puts the shared part outside the bracket. In this pack, you will learn how to find common factors, build brackets, check by expanding again, and avoid the classic mistake of taking out something that was not actually shared. The bracket is not a storage cupboard for random algebra. It has standards.

The mini-lessons

  1. Factors Are the Building Blocks
  2. Common Factors: What Do Both Terms Share?
  3. Factorising Is Expanding Backwards
  4. Taking Out a Number Factor
  5. Taking Out a Letter Factor
  6. Taking Out a Number and a Letter
  7. Check by Expanding Again
  8. Misconception Clinic

Inside every pack

What each part of the page is for

  1. Confidence check

    Pupils tick how a topic feels before they start, and again at the end. There are no marks, so it's an honest picture of where they are.

  2. Short mini-lessons

    Each topic is split into small steps. Every mini-lesson opens with one big idea and a short, plain-English explanation.

  3. Visuals for every idea

    Diagrams such as a formula 'rule machine' or a place-value picture show the maths, so pupils can see it as well as read it.

  4. Worked examples

    Every method is modelled step by step before pupils try it, with each stage labelled so they can follow it on their own.

  5. Scaffolded practice

    Questions start with prompts (what do you need to find, follow the example, check it makes sense) and gradually ask for more independence.

  6. Spot the trap

    Common mistakes are named before pupils make them, and Mistake Detective questions ask them to find and fix errors.

  7. Pause and think

    Short 'explain it in your own words' prompts check that pupils understand why the maths works, not just how.

  8. Teacher Pack with answers

    Every pack comes with a Teacher Pack: all the answers, plus reteach cards saying what to watch for, what to say, and what to try if a pupil is still stuck.

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