Lesson [1] Derive and use the formula for the area of a parallelogram.

A. Use squared paper to demonstrate that the area of a parallelogram is equal to that of a rectangle on an equal base and having the same perpendicular height.

Watch the following video:
Determine the Area of a Parallelogram on a Grid – https://www.youtube.com/watch?v=dcycXYIaSvY

Suggested Practice:
SMP Interact Foundation, Student Book pg 212 B2, B3 and C4 a, b, e
Area Worksheet Pack – Worksheet 1

B. Identify the perpendicular height with respect to a given side.

Watch the following video:
Determine the height of a parallelogram to find the area – https://www.youtube.com/watch?v=fSlqsK6rQdY

Suggested Practice:
SMP Interact Foundation, Student Book pg 212 C5 a, d and pg 216 D1 a, e, f
Area Worksheet Pack – Worksheet 2 and Worksheet 3 (document attached in the Resources Section)

Check your answers (document attached in the Resources Section)

Lesson [2] Derive the formula ½ × base × perpendicular height for the area of a triangle

Watch the following video:
Formula for Area of a Triangle – Why? – https://www.youtube.com/watch?v=PHKaqXlki6w

Suggested Practice:
SMP Interact Foundation, Student Book pg 293 C1 a, b and pg 295 C5 a, b, g, h, C6c C7
Area Worksheet Pack – Worksheet 4 (document attached in the Resources Section)

Check your answers (document attached in the Resources Section)

Lesson [3] Use the formula for the area of a triangle in composite shapes

Watch the following videos:
1. Find the area of combined shapes – https://www.youtube.com/watch?v=SL88MiJVx9c
2. Area of compound shapes – triangles included – https://www.youtube.com/watch?v=qr8mfLbJCZc

Suggested Practice:
SMP Interact Foundation, Student Book pg 296 D1 and D2
Area Worksheet Pack – Worksheet 5 and Worksheet 6 (document attached in the Resources Section)

Check your answers (document attached in the Resources Section)

Acknowledgements: St Benedict College Secondary School