Without Panic Maths · Number 30

Equivalent Fractions

Same value, new name: bars, splitting, grouping, scale factors, number lines and missing numbers

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Mini-lessons
9
Questions
120
Student Pack
103 pages
Suggested year
Year 7

What you get

  • Student Pack (PDF, 103 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

  • Fractions9 packs · £31.50 £28
  • Number, Year 722 packs · £73.50 £65
  • Number: complete strand54 packs · £182 £161

What this pack does

What pupils learn

Equivalent fractions are different names for the same amount. 1/2 and 2/4 cover exactly the same part of a whole. Make new names by multiplying or dividing the top and bottom by the same number, and never by adding.

The mini-lessons

  1. Same amount, different fraction name
  2. Splitting every part equally
  3. Grouping smaller parts together
  4. Multiplying the numerator and denominator
  5. Equivalent fractions on number lines
  6. Recognising equivalent-fraction families
  7. Finding a missing numerator
  8. Finding a missing denominator
  9. Mistake Detective and equivalent-fraction reasoning

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 number packs

Number 1 · Year 7

Place Value

Whole numbers, digit value, partitioning and zero as a placeholder

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Number 2 · Year 7

Comparing and Ordering

Comparing means deciding whether numbers are greater than, less than or equal to each other. Ordering means arranging numbers from smallest to largest or from largest to smallest.

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