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Mastery for GCSE Edexcel

Unit 21: Coordinate geometry

Higher

21

Inside the Unit...

Areas Covered

  • Lesson 1: Perpendicular gradients
  • Lesson 2: Equation of a tangent
  • Lesson 3: Algebraic solutions
  • Lesson 4: Graphical solutions
  • Lesson 5: Iteration
  • Lesson 6: Using vectors
  • 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 challenging algebra unit develops a range of techniques around graphs drawn on the coordinate axes along with extending students’ knowledge and understanding of vectors.  Gradients of perpendicular lines are tackled in the first lesson, leading to students finding equations of parallel and perpendicular lines which pass through a given point.  The equation of a tangent to a curve or circle is developed as an application of the learning from the first lesson.  Work on simultaneous equations from Unit 10 is built on through considering how to simultaneously solve a quadratic equation with a linear equation, both graphically and algebraically.  The use of graphs to give approximate solutions to equations is developed further in lesson 5 by investigating iteration to give approximate solutions.  The final lesson of this unit returns to work on vectors, developed from Unit 17, where problems are presented and solved, including performing geometrical proofs using vectors.

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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The lessons are designed to develop deep understanding so students master the mathematical concepts and techniques involved.

Heather Davis. Professional Development Lead, NCETM

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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.

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Relevant Textbooks

Inside the Unit...

  • Areas Covered

    • Lesson 1: Perpendicular gradients
    • Lesson 2: Equation of a tangent
    • Lesson 3: Algebraic solutions
    • Lesson 4: Graphical solutions
    • Lesson 5: Iteration
    • Lesson 6: Using vectors
    • 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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