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In this unit, students will learn about coordinate geometry in the context of circles. They will start by finding the equation of tangents to the circle at a point by first finding the gradient of the radius and using the fact that the radius and tangent are perpendicular so their gradients multiply together to -1. After this, they will look at the equations of the circles themselves, being able to plot and recognise graphs of circle with their centre at the origin.
ABOUT THIS RESOURCE PACK:
This pack is designed to provide teachers with complete lesson plans and classroom resources to teach excellent lessons. It is designed to both teach the mathematical content and draw students into deeper consideration of its implications, including mathematical reasoning and problem solving skills.
THE PACK CONTAINS:
2 Lesson Plans: Full ready-to-use lesson plans on the following topics:
- Equations of Tangents
- Circle Graphs
Lesson Resources: A variety of additional resources to accompany the lesson plans, including student worksheets and aids for students needing extra support.
Homework Activity: Further problems to give students to complete at home.
Assessment: A series of questions to enable you to assess the progress of students.