Without Panic Maths · Algebra 15

Forming Formulae 2: Diagrams and Real Situations

Label the structure, count each contribution and build a formula that fits

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Mini-lessons
10
Questions
132
Student Pack
80 pages
Suggested year
Year 8

What you get

  • Student Pack (PDF, 80 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

  • Formulae8 packs · £28 £25
  • Algebra, Year 819 packs · £66.50 £59
  • Algebra: complete strand48 packs · £161 £142

What this pack does

What pupils learn

This pack develops forming formulae through labelled bars, shapes, growing diagrams and real situations. Each rule is built from visible parts before it is written in compact algebra.

The mini-lessons

  1. Labelled bars and repeated lengths
  2. Perimeter from labelled sides
  3. Area from dimensions in a diagram
  4. Growing shape patterns
  5. Fixed charges and changing charges
  6. Rates multiplied by changing quantities
  7. Two groups with different rates
  8. Equal groups plus leftovers
  9. Testing a formula against the situation
  10. Choosing and explaining a sensible model

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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