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Mastery for GCSE Edexcel

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Unit 24: Applications of ratio

Foundation

 
24

Inside the Unit...

Areas Covered

  • Lesson 1: Fractions, decimals and percentages recap
  • Download sample lesson above
  • Lesson 2: Density and pressure
  • Lesson 3: Comparing lengths, areas and volumes using ratio notation
  • Lesson 4: Interpreting gradients
  • Lesson 5: Direct and inverse proportion
  • Lesson 6: Compound interest
  • Lesson 7: Growth and decay problems
  • Unit assessment

There are 7 exercise sheets and an examination-style assessment test, each with answers included in this unit.

Mathematics Mastery

Our resources apply the principles of Mastery throughout, creating a rich and deep learning experience. Find out more about Mastery with our quick guide.

Mathematics Mastery

Summary

This unit builds on earlier Units 10 and 13, developing further the mastery of this area of mathematics through the use of context and reasoning skills. Density and pressure are explored and calculated following a recap of prior learning of fractions, decimal and percentages. Ratios of the lengths, areas and volumes of similar shapes are explored and used to solve problems in context, with units being converted as appropriate. Velocity time graphs are drawn and their gradients and the area under the graph are interpreted in context. Directly and inversely proportional relationships are recognised and interpreted and, where appropriate, represented algebraically. Compound interest is explored and students set up, solve and interpret real-life problems. The unit closes by considering growth and decay problems in context; setting up and solving problems through repeated calculations (rather than using a formula) and interpreting the solutions.  

What's included in the toolkit?

Teachers' Toolkit

The GCSE units have been written to satisfy the specification for the Edexcel 1MA1 Maths GCSE. Each unit contains:

  • PowerPoint slides for each component
  • Detailed lesson plans
  • Learning objectives and outcomes
  • Exercise sheet activities with answers
  • End-of-unit, exam-style assessment test with answers
  • Other material and links to online resources

What people say...

The worksheets relating to each part of the unit are excellent for consolidation.

Fiona Peers. Head of Mathematics, Akeley Wood School

Supply teachers or cover supervisors can be given the PowerPoint presentations to run the lesson. I only wish I had this available when I was head of department. I would have been able to set work quickly, knowing that the material was covered, explanations were sound and the practice questions were well supported.

Heather Davis. Mathematics Education Consultant,

Relevant Textbooks

Inside the Unit...

  • Download Free Sample 6.4mb

    Areas Covered

    • Lesson 1: Fractions, decimals and percentages recap
    • Download sample lesson above
    • Lesson 2: Density and pressure
    • Lesson 3: Comparing lengths, areas and volumes using ratio notation
    • Lesson 4: Interpreting gradients
    • Lesson 5: Direct and inverse proportion
    • Lesson 6: Compound interest
    • Lesson 7: Growth and decay problems
    • Unit assessment

    There are 7 exercise sheets and an examination-style assessment test, each with answers included in this unit.

    Mathematics Mastery

    Our resources apply the principles of Mastery throughout, creating a rich and deep learning experience. Find out more about Mastery with our quick guide.

    Mathematics Mastery

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