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Mastery for GCSE Edexcel

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Unit 18: Geometry

Foundation

 
18

Inside the Unit...

Areas Covered

  • Lesson 1: Constructions
  • Download sample lesson above
  • Lesson 2: Loci
  • Lesson 3: Congruence
  • Lesson 4: Similarity
  • Lesson 5: Pythagoras' Theorem
  • Lesson 6: Geometric proofs
  • 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 builds on earlier geometry units to consider constructions with straight line and compass which are then used to solve loci problems. Questions have an emphasis on developing reasoning skills. Congruency of shapes is explored and congruence criteria for triangles are developed and associated problems solved. Similarity is explored, and its understanding developed so that students can solve problems in missing lengths and angles with an emphasis on reasoning. The relationship between the side lengths of right angled triangles is explored. Pythagoras’ theorem is used to find missing sides and to solve more complex reasoning problems set in real-life contexts. The unit closes by developing understanding of how to pose a simple proof set in a geometric context; using symmetry and side and angle properties developed so far.

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 are well written and the students seemed comfortable with the format. Some interesting questions too, which fit well with the new GCSE course.

Tamsin Woolford. Mathematics teacher, Clayesmore School

We have been using PG Online KS3 materials for well over a year now. PG Online materials have significantly reduced our worries, because the units are extremely well organised and make it much easier to teach the new curriculum.

Suki Chima. Computer Science Teacher, Sion-Manning RC Girls School

Relevant Textbooks

Inside the Unit...

  • Download Free Sample 4.5mb

    Areas Covered

    • Lesson 1: Constructions
    • Download sample lesson above
    • Lesson 2: Loci
    • Lesson 3: Congruence
    • Lesson 4: Similarity
    • Lesson 5: Pythagoras' Theorem
    • Lesson 6: Geometric proofs
    • 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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