What Should You Expect From This Lesson?

At the end of this lesson you will be able to: [1] Derive the sum of the exterior angles of a polygon and solve problems involving exterior angles of polygons; [2] Derive the sum of the interior angles of a polygon and solve problems involving interior angles of polygons; [3] Inscribe a regular hexagon in a circle with given radius.

How To Carry Out This Lesson At Home:

Lesson [1] Derive the sum of the exterior angles of a polygon and solve problems involving exterior angles of polygons

Watch the following videos:
1. Exterior angle of a polygon: Proof – https://www.youtube.om/watch?v=qi71nxim5s4
2. Angles in polygons- exterior angles – https://www.youtube.com/watch?v=-Rw3DSDfkwA
3. Angles in polygons (exterior angles) – https://www.youtube.com/watch?v=gVo8ZrtlSp0 (watch from 6:32)
4. Polygons: Using exterior angles in irregular polygon – https://www.youtube.com/watch?v=IO32ZWtEbpQ

Suggested Practice:
Polygons Worksheet Pack – Worksheet 1 (document attached in the Resources Section)

Check your answers (document attached in the Resources Section)

Lesson [2] Derive the sum of the interior angles of a polygon and solve problems involving interior angles of polygons

Watch the following videos:
1. Angles in polygons – https://www.youtube.com/watch?v=GEMzDapeg14
2. Angles in polygons (interior angles) – https://www.youtube.com/watch?v=gVo8ZrtlSp0 (watch up to 6:31)

Suggested Practice:
Polygons Worksheet Pack – Worksheets 2 and 3 (documents attached in the Resources Section)

Check your answers (document attached in the Resources Section)

Lesson [3] Inscribe a regular polygon in a circle with given radius

See the following PowerPoint presentation:
Construct a regular hexagon (presentation attached in the Resources Section)

Watch the following videos:
1. Finding the central angle of a regular polygon – https://www.youtube.com/watch?v=VmqeTW0MAro (watch from 2:35 to 3:40)
2. Drawing a square inscribed in a circle – https://www.youtube.com/watch?v=e-i64DkVFC0
3. Constructing an equilateral triangle, square and regular pentagon – https://www.youtube.com/watch?v=G4g-XYXuaUU
4. How to draw a regular pentagon using a compass, protractor and a ruler – https://youtu.be/ewi8DIQ6-CY
5. Constructing a regular hexagon within given circle by using ruler and compass – https://www.youtube.com/watch?v=6LzyOvsIjRQ
6. Construct a regular octagon Inscribed in a circle – https://www.youtube.com/watch?v=X7Z7y9gOQFk

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

Check your answers (document attached in the Resources Section)