# Mastery for GCSE Edexcel

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18

## Inside the Unit...

### Areas Covered

• Lesson 1: Constructions
• 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.

## 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?

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...

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,

Wow, that is what you call service. (Clearly you know when teachers do their lesson planning for the week!)

Fergal Moane. Assistant Headteacher, Sandringham School

## Inside the Unit...

### Areas Covered

• Lesson 1: Constructions
• 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.

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