Without Panic Maths · Number 39

Fractions, Decimals and Percentages 2

Some fractions convert quickly because their denominators make 100: 20 × 5, 25 × 4, 50 × 2. Eighths go up in 12.5% steps. For the rest, divide the top by the bottom. Then check the size against 0, 1/2 and 1.

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Mini-lessons
10
Questions
132
Student Pack
91 pages
Suggested year
Year 9

What you get

  • Student Pack (PDF, 91 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

  • Percentages & FDP8 packs · £28 £25
  • Number, Year 913 packs · £42 £37
  • Number: complete strand54 packs · £182 £161

What this pack does

What pupils learn

Some fractions convert quickly because their denominators make 100: 20 × 5, 25 × 4, 50 × 2. Eighths go up in 12.5% steps. For the rest, divide the top by the bottom. Then check the size against 0, 1/2 and 1.

The mini-lessons

  1. Choosing a useful form
  2. Fractions with denominator 20
  3. Fractions with denominator 25
  4. Fractions with denominator 50
  5. Eighths and the 12.5% step
  6. Fraction to decimal using division
  7. Decimal to fraction using place value
  8. Percentage to decimal and fraction
  9. Comparing and ordering fractions, decimals and percentages
  10. Mistake Detective and method choice

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 17 · Year 8

Multiplying and Dividing Decimals

Multiplying by 10, 100 or 1 000 makes a number bigger, so the digits move left. Dividing makes it smaller, so the digits move right. The decimal point stays still. Count the zeros to know how many places.

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Number 18 · Year 8

Multiplying Decimals by Whole Numbers

Multiplying a decimal by a whole number still means equal groups. 0.4 × 3 is three groups of 0.4. Estimate first, multiply, then make sure the answer is a sensible size.

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