What Should You Expect From This Lesson?

At the end of this lesson you will be able to: [1] Identify parts of a circle: centre, radius, diameter, circumference and arc; Understand the notion of π, as a ratio of the circumference to the diameter; [2] Deduce and use the formulae for the circumference, C=πd and C=2πr; [3] Deduce and use the formula for the area of a circle, A=πr^2 by dividing it into sectors; [4] Find the area of composite shapes by dividing them into simple shapes including circles.

How To Carry Out This Lesson At Home:

Lesson [1] Identify parts of a circle: centre, radius, diameter, circumference and arc; Understand the notion of π, as a ratio of the circumference to the diameter

View the following presentation:
The Circle Presentation, Slides 1 – 5 (presentation attached in the Resources Section)

Watch the following videos:
1. Circles: What is Pi? – https://www.youtube.com/watch?v=cC0fZ_lkFpQ
2. Pi, Where does it come from? – https://www.youtube.com/watch?v=TlY-Sh9Rzas
3. What is the circumference of a circle? Perimeter of a Circle – https://www.youtube.com/watch?v=2fC6vxszhHk

Suggested Practice:
The Circle Worksheet Pack – Worksheets 1 and 2 (document attached in the Resources Section)

Check your answers (document attached in Resource Section)

Lesson [2] Deduce and use the formulae for the circumference, C=πd and C=2πr

View the following presentation:
The Circle Presentation, Slides 6 – 9 (presentation attached in the Resources Section)

Watch the following video:
Circumference of a Circle – https://www.youtube.com/watch?v=1XFkAZW-rWg

Suggested Practice:
The Circle Worksheet Pack – Worksheet 3 (document attached in the Resources Section)

Check your answers (document attached in Resource Section)

Lessons [3] Deduce and use the formula for the area of a circle: A = πr^2 by dividing it into sectors

View the following presentation:
The Circle Presentation Slides, 10 – 14 (presentation attached in the Resources Section)

Watch the following videos:
1. Area of the circle. How to get the formula – https://www.youtube.com/watch?v=YokKp3pwVFc
2. Area of a Circle – https://www.youtube.com/watch?v=Of8p1SfOcR0 (watch up to 2:40)

Suggested Practice:
The Circle Worksheet Pack – Worksheet 4 (document attached in the Resources Section)

Check your answers (document attached in Resource Section)

Lessons [4] Find the area of composite shapes by dividing them into simple shapes including circles

Watch the following videos:
1. Perimeter of Composite Shape – https://www.youtube.com/watch?v=9Vs5BsUVfMA
2. Area and Perimeter of Composite Shapes including circles – https://www.youtube.com/watch?v=n4VCRsKg-jE (watch from 1:40 to 4:04)
3. Area of Composite Shapes – https://www.youtube.com/watch?v=by9-_95Zn08 (watch from 2:09 till the end)
4. Area of Composite Figures consisting of parts of circles – https://www.nagwa.com/en/videos/737175716921/
5. Circle and area of Composite Shapes – https://revisionworld.com/gcse-revision/maths/shape-space-and-measures/geometry/areas/circle-and-areas-composite-shapes (skip from 1:16 to 2:05)

Suggested Practice:
The Circle Worksheet Pack – Worksheet 5 (document attached in the Resources Section)

Check your answers (document attached in Resource Section)