Fractions — DrFrost Y7 Lesson Notes

Authors: DrFrost Maths, Martin Noon, Sarah Allott Year: 2024–2025 Venue: DrFrost Learning Platform Link: https://www.drfrost.org/downloadables.php (rid=16, noid=9) Tags: papers math y7 fractions education drfrost Created: 2026-05-30 Last Updated: 2026-05-30


Summary

This collection of lesson slides and worksheets covers the full Year 7 fractions curriculum as taught on the DrFrost Learning platform. The resources span equivalent fractions, simplifying, mixed numbers and improper fractions, all four operations (addition, subtraction, multiplication, division), and fractions of amounts, with approximately 21 individual lesson packs.

Core Ideas

  • Equivalent fractions are found by multiplying or dividing both numerator and denominator by the same non-zero number
  • A fraction is in simplest form when the numerator and denominator have no common factors other than 1
  • To add or subtract fractions with different denominators, first find a common denominator using the LCM
  • Multiplying fractions: multiply numerators together, multiply denominators together, then simplify
  • Dividing fractions: multiply by the reciprocal (flip and multiply)
  • Fractions of an amount: divide by the denominator, multiply by the numerator

Teaching and Assessment Focus

  • Use bar models and pictorial representations before formalising with numerical methods
  • Scaffold mixed number operations by first converting to improper fractions
  • Emphasise the importance of simplifying final answers
  • Include gap-fill activities alongside standard exercises for varied practice
  • Assess prerequisite knowledge of factors, multiples, and HCF before starting

Key Resources

  • Yr7-Fractions.pptx (28 slides) — Full unit overview covering all operations
  • Equivalent Fractions and Simplifying — Lesson + 2 exercises (70 slides)
  • Mixed Numbers and Improper Fractions — Lesson + exercise
  • Adding and Subtracting Mixed Numbers — 2 lesson packs with gap fills
  • Multiplying Proper Fractions / Mixed Numbers — 2 lesson packs
  • Dividing Fractions by Integers / Proper Fractions / Mixed Numbers — 3 lesson packs
  • Fractions of an Amount — Lesson + 2 exercises
  • Comparing and Ordering Fractions — 5 lesson packs covering same denominator through different denominators

Sources

  • drfrost-downloads/Yr7-Fractions.pptx
  • drfrost-downloads/EquivalentFractions-Lesson.pptx
  • drfrost-downloads/EquivalentFractions-Ex1.pdf
  • drfrost-downloads/EquivalentFractions-Ex2.pdf