Number 13 · Year 8
Multiplying and Dividing Negative Numbers
Multiplying and dividing with negative numbers has two parts: the size and the sign. Work out the size with your times tables.
£3.50
Without Panic Maths · Number 43
Expressing One Quantity as a Percentage of Another
To write one quantity as a percentage of another, name the part and the whole. Put the part over the whole. Then make the whole 100, or work out part ÷ whole × 100. Match the units first, and check the answer makes sense.
- Mini-lessons
- 10
- Questions
- 132
- Student Pack
- 92 pages
- Suggested year
- Year 9
What you get
- Student Pack (PDF, 92 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
To write one quantity as a percentage of another, name the part and the whole. Put the part over the whole. Then make the whole 100, or work out part ÷ whole × 100. Match the units first, and check the answer makes sense.
The mini-lessons
- Name the part and the whole
- Write the comparison as a fraction of the whole
- Friendly totals: make the whole 100
- The calculator route: part ÷ whole × 100
- Make the units match first
- Scores, attendance and completion rates
- Compare success rates with different totals
- Percentages in money and everyday comparisons
- Mistake Detective: denominator, order and units
- Mixed comparison 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.
More number packs
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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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