Without Panic Maths · Number 27
Roots
Square roots, cube roots, higher roots, estimating and calculators
- Mini-lessons
- 11
- Questions
- 144
- Student Pack
- 104 pages
- Suggested year
- Year 8
What you get
- Student Pack (PDF, 104 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
- Factors, Primes & Powers6 packs ·
£21£19 - Number, Year 819 packs ·
£66.50£59 - Number: complete strand54 packs ·
£182£161
What this pack does
What pupils learn
A root undoes a power. √36 asks: which number squared makes 36? The answer is 6. Cube roots and higher roots work the same way. Check every root by raising it back to the power.
The mini-lessons
- Roots undo powers
- Square roots using square arrays
- Common square roots
- Cube roots using cube numbers
- Root notation
- Higher Powers and Roots: Fourth and Fifth Roots
- Exact and non-exact roots
- Estimating square roots
- Using calculators carefully
- Mistake Detective with roots
- Reasoning with roots
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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