☀️ Summer 2026 · Maths Pre-Teens · Week 1 · Number
Number
By the end of this lesson, your child can actually do these 4 things:
Use factor trees to find HCF & LCM — no calculator needed
Multiply and divide integers and decimals with full confidence
Convert fluently between fractions, decimals and percentages
Solve real-world percentage and ratio problems step by step
The Lesson Plan
⏱ Week 1 · Number — 90-Minute Lesson Plan One topic, covered properly. Every minute is active — no passive note-taking, no theory without practice.
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0:10
🚀 Introduction — Diagnostic Starter
A few targeted questions reveal exactly where your child stands with Number. The tutor uses the results immediately to pitch the session at exactly the right level.
Sets the pace · builds confidence from minute one
- A few rapid questions spanning the Number topic
- Identify gaps before they become habits
- Every question is mapped to learning objectives — no wasted time
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0:35
🌳 Part 1 — Place Value, Factors & Multiples
The bedrock of all number work. These concepts appear in every strand of maths and in every exam they'll face for the next six years.
Focus: place value · primes · HCF · LCM
- Read, write and order integers and decimals up to millions
- Identify factors, multiples, primes and composite numbers
- Write numbers as products of prime factors using factor trees
- Find HCF and LCM using Venn diagrams
0:35
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1:00
🔢 Part 2 — Multiplication, Division & Decimals
The skills that separate confident mathematicians from uncertain ones. Mastered here, they never have to think twice.
Focus: written methods · decimal operations · estimation
- Multiply and divide integers and decimals without a calculator
- Use short and long multiplication with full written method
- Divide by decimals — convert to whole-number problems
- Estimate answers and check using inverse operations
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1:20
💯 Part 3 — Fractions, Decimals & Percentages
The most commonly tested area in Year 6–7 assessments — and the most rewarding once it clicks.
Focus: FDP conversions · percentage calculations · ratio
- Add, subtract, multiply and divide fractions
- Convert fluently between fractions, decimals and percentages
- Calculate percentages of amounts and percentage change
- Solve ratio and proportion problems in context
1:20
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1:30
🎯 Outro — Challenge Question & Target
The session closes with one challenging Number problem — tackled together, then taken home. Then 3 minutes of structured reflection.
What they take home: a solved challenge with a personalised next step
- Solve one multi-step Number problem independently
- Discuss the method and check the answer together
- Leave with one written target for the week ahead
Every child leaves knowing exactly what they can do — and with one clear target to practise before next session.
Ready to Start?
Summer 2026 spots are limited
Expert maths tuition for Year 6 & 7 — small groups, big progress. Reserve your child's spot before the group is full.