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Mastery for GCSE Edexcel

Unit 18: Functions

Higher

18

Inside the Unit...

Areas Covered

  • Lesson 1: Mappings
  • Lesson 2: Combining functions
  • Lesson 3: Inverse functions
  • Lesson 4: Expanding three binomials
  • Lesson 5: Cubic functions
  • Lesson 6: Exponential functions
  • Lesson 7: Trigonommetric functions
  • 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

The understanding of a variety of different functions is developed in this unit.  The first lesson explores mappings in general and the classification of the types of mapping.  Function notation is introduced and used and the impact of combining functions both by addition and composition is explored.  Inverse functions are defined, then students are supported in being able to find the inverse function and interpret the meaning of it. The next lesson focuses on expanding binomials, building from work in Unit 8, to expand three or more binomials and linking the coefficients to the terms in Pascal’s triangle.  Graphs of cubic and exponential functions are investigated; their key features and the sketching and plotting of them considered.  The link of exponential functions to growth and decay models is made and contextualised problems are solved.  To conclude the unit, key features of trigonometric graphs are investigated and used.

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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Inside the Unit...

  • Areas Covered

    • Lesson 1: Mappings
    • Lesson 2: Combining functions
    • Lesson 3: Inverse functions
    • Lesson 4: Expanding three binomials
    • Lesson 5: Cubic functions
    • Lesson 6: Exponential functions
    • Lesson 7: Trigonommetric functions
    • 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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