Without Panic Maths · Number 31
Simplifying Fractions
Same value, smaller numbers: halving, digit sums, 5s and 10s, repeated steps and the HCF
- Mini-lessons
- 9
- Questions
- 120
- Student Pack
- 85 pages
- Suggested year
- Year 7
What you get
- Student Pack (PDF, 85 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
Simplifying a fraction keeps the same amount but uses smaller numbers. Divide the top and bottom by the same common factor. Keep going until nothing more divides both, or use the HCF to finish in one step.
The mini-lessons
- What does simplifying mean?
- Divide both numbers by the same common factor
- Simplifying even fractions
- Simplifying using a common factor of 3
- Simplifying using factors of 5 and 10
- Repeated simplification
- Using the highest common factor
- Checking for simplest form
- Mistake Detective and simplification reasoning
Inside every pack
What each part of the page is for
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.
Short mini-lessons
Each topic is split into small steps. Every mini-lesson opens with one big idea and a short, plain-English explanation.
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.
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.
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.
Spot the trap
Common mistakes are named before pupils make them, and Mistake Detective questions ask them to find and fix errors.
Pause and think
Short 'explain it in your own words' prompts check that pupils understand why the maths works, not just how.
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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