Without Panic Maths · Ratio 5

Simplifying Ratios

The same relationship, with smaller numbers

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Mini-lessons
6
Questions
130
Student Pack
80 pages
Suggested year
Year 7

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

  • Ratio8 packs · £24.50 £22
  • Ratio and Proportion, Year 79 packs · £28 £25
  • Ratio and Proportion: complete strand27 packs · £87.50 £77

What this pack does

What pupils learn

Simplifying a ratio keeps the same relationship but uses the smallest whole numbers. You will make equivalent ratios, simplify in steps and in one go, handle three-part ratios, and write ratios in the form 1 : n.

The mini-lessons

  1. Equivalent ratios: both parts change together
  2. Simplify with a common factor
  3. Fully simplified: use the HCF
  4. Three-part ratios
  5. Equivalent or not?
  6. Writing a ratio as 1 : n

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.

More ratio and proportion packs

Ratio 1 · Year 7

Multiplicative Thinking Foundations

This pack is about one big idea: some changes add an amount, and some changes multiply. Ratio and proportion are built on the second kind, so we start here, slowly, with lots of pictures.

Ratio 2 · Year 7

Scaling Up and Scaling Down

Scaling means making a bigger or smaller copy where everything changes by the same multiplier. You will scale shapes, recipes and everyday amounts, and learn to tell whether to multiply or divide.

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Ratio 3 · Year 7

Ratio Meaning and Visual Models

A ratio compares amounts: "for every 2 of these, there are 3 of those". This pack builds that idea with counters, pictures and ratio bars before you worry about rules.

£3.50

See all packs