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Mastery for GCSE Edexcel

Unit 15: Graphical methods

Higher

15

Inside the Unit...

Areas Covered

  • Lesson 1: Linear proportionality
  • Lesson 2: Direct proportion
  • Lesson 3: Reciprocal functions
  • Lesson 4: Inverse proportion
  • Lesson 5: Inequalities in two variables
  • Lesson 6: Equation of a circle
  • Unit assessment

There are 6 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 blends work on ratio and algebra to consider graphical representations of circles, inequalities and direct and inverse proportionality.  Initially building on work from Unit 3, linear proportionality is further explored and linked to linear graphs.  Other types of direct proportion are developed including proportionality to x² and x³ and algebraic solutions are linked to graphical representations of the equations.  Understanding of inverse proportion is developed and linked to reciprocal functions, features of which are explored and used.  Graphs of reciprocal functions are drawn and used to solve contextualised problems.  The next lesson in the unit develops earlier work on solving linear inequalities (Unit 10) by exploring linear inequalities in two variables, finding a graphical solution and presenting the solution on the graph, using shading.  In the final lesson of this unit students understand how to find, state and use the equation of a circle.

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
  • Worksheets and homework activities with answers
  • End-of-unit, exam-style assessment test with answers
  • Other material and links to online resources

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Relevant Textbooks

Inside the Unit...

  • Areas Covered

    • Lesson 1: Linear proportionality
    • Lesson 2: Direct proportion
    • Lesson 3: Reciprocal functions
    • Lesson 4: Inverse proportion
    • Lesson 5: Inequalities in two variables
    • Lesson 6: Equation of a circle
    • Unit assessment

    There are 6 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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