Without Panic Maths · Ratio 12

Inverse Proportion Foundations

In inverse proportion, when one quantity goes up the other goes down in a special way: double one and the other halves.

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Mini-lessons
10
Questions
112
Student Pack
90 pages
Suggested year
Year 9

What you get

  • Student Pack (PDF, 90 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

  • Proportion7 packs · £24.50 £22
  • Ratio and Proportion, Year 99 packs · £28 £25
  • Ratio and Proportion: complete strand27 packs · £87.50 £77

What this pack does

What pupils learn

In inverse proportion, when one quantity goes up the other goes down in a special way: double one and the other halves. This pack shows how to spot it, use the constant product, fill tables, use y = k/x, read the graph, and tell direct, inverse and neither apart.

The mini-lessons

  1. When one goes up and the other goes down
  2. Double one, halve the other
  3. Triple one, divide the other by 3
  4. The constant-product idea
  5. Recognising inverse tables
  6. Missing values by scaling
  7. Missing values by constant product
  8. Simple inverse equations
  9. Inverse relationships on graphs
  10. Direct, inverse or neither?

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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A proportion table keeps matching values side by side, so you can see the relationship and use it. This pack shows how to read a table, scale it, fill in missing values, and test whether a table really is proportional.

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