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Mastery for GCSE Edexcel

Unit 14: Trigonometry

Higher

14

Inside the Unit...

Areas Covered

  • Lesson 1: Pythagoras in 3D
  • Lesson 2: Ratios in similar shapes
  • Lesson 3: Trigonometric ratios
  • Lesson 4: Using trigonometric ratios
  • Lesson 5: Angles of elevation and depression
  • Lesson 6: Special angles
  • Lesson 7: Trigonometry 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 geometry unit builds on the work on similarity from Unit 12 to develop understanding of trigonometric ratios and their application. The lesson begins by recapping Pythagoras’ theorem and this is extended into Pythagoras in 3D, including finding the length of a diagonal and solving problems in context.  The next lesson considers ratios of similar shapes and subsequently the ratio of lengths of right-angled triangles building towards the third lesson in which trigonometric ratios are introduced.  These are used to find unknown side lengths and angles, including the solving of contextualised problems.  The trigonometric ratios for special angles are devised and used and angles of elevation and angles of depression met and used in context to solve trigonometry problems and reasoning challenges.

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

What people say...

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I like the detailed spec reference with the questions.

Roopa Gorsia. Maths Coordinator, Capital City Academy

“
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This is such a steep learning curve, but PG Online materials have been great and really support me and my students.

Mrs Julia Vale. Assistant Head Teacher, Court Moor School

Relevant Textbooks

Inside the Unit...

  • Areas Covered

    • Lesson 1: Pythagoras in 3D
    • Lesson 2: Ratios in similar shapes
    • Lesson 3: Trigonometric ratios
    • Lesson 4: Using trigonometric ratios
    • Lesson 5: Angles of elevation and depression
    • Lesson 6: Special angles
    • Lesson 7: Trigonometry 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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