1. Level 3 Areas of Simple Shapes
This presentation will cover the formulae for the areas of various simple shapes.
It is aimed at students studying at level 3.
Where appropriate, follow up exercises are indicated
for consolidation purposes.
Wednesday, 05 April 2017
Created by Mr.Lafferty

2. Simple Areas Definition : Area is “ how much space a shape takes up”
A few types of special Areas
Revision of Square, Rectangle and RAT.
Any Type of Triangle
Rhombus and kite
Parallelogram
Trapezium
Wednesday, 05 April 2017
Created by Mr.Lafferty
Composite shapes

3. Starter Questions Q1. Is the solution to the equation x = -3 Explainao
Q2. Are the missing angles
ao = 45o and bo = 55o bo
Q3. Explain why the mean is equal to 12
16, 9, 15,8
Q4. How many difference ways can you find
Wednesday, 05 April 2017
Created by Mr.Lafferty

4. Revision of Area www.mathsrevision.com Learning Intention
Success Criteria
1. To revise the basic areas including square, rectangles and RAT’s.
To remember the area formula for the square, rectangle and RAT’s.
Apply formulae correctly.
(showing working)
Answer containing
appropriate units
Wednesday, 05 April 2017
Created by Mr.Lafferty

5. Revision of Area Exercise 1 Teejay Page 101 The Square The Rectangle
The RAT l b h l l b
Exercise 1 Teejay Page 101
Wednesday, 05 April 2017
Created by Mr.Lafferty

6. Basic Simple Areas
Definition : Area is “ how much space a shape takes up”
A few types of special Areas
Revision of Square, Rectangle and RAT.
Any Type of Triangle
Rhombus and kite
Parallelogram
Trapezium
Wednesday, 05 April 2017
Created by Mr.Lafferty

7. Starter Questions Q1. Calculate www.mathsrevision.com
Q2. Are the missing angles 70o,40o,40o Explain
Q3. Is the HCF of 10 and Explain.
Q4. Explain 2 ways of calculating
Wednesday, 05 April 2017
Created by Mr.Lafferty

8. Any Triangle Area www.mathsrevision.com Learning Intention
Success Criteria
1. To develop a formula for the area of ANY triangle.
To remember the formula for the area of ANY triangle.
Apply formula correctly.
(showing working)
Answer containing
appropriate units
Wednesday, 05 April 2017
Created by Mr.Lafferty

9. Sometimes called the altitude
Any Triangle Area
Demo
h = vertical height
Sometimes called the altitude h b
Wednesday, 05 April 2017
Created by Mr.Lafferty

10. Any Triangle Area Example 1 : Find the area of the triangle.
6cm
8cm
Wednesday, 05 April 2017
Created by Mr.Lafferty

11. Any Triangle Area Exercise 2 Teejay Page 104
Example 2 : Find the area of the triangle.
Altitude h outside triangle this time.
10cm
4cm
Exercise 2 Teejay Page 104
Wednesday, 05 April 2017
Created by Mr.Lafferty

12. Starter Questions Q1. Find the area of the triangle.
3cm
Q2. Expand out 2w( w - 5) – 3w
4cm
Q3. Calculate
Q4. Find the LCM of the two numbers 4 and 6
Wednesday, 05 April 2017
Created by Mr.Lafferty

13. Rhombus and Kite Area www.mathsrevision.com Learning Intention
Success Criteria
1. To develop a single formula for the area of ANY rhombus and Kite.
To remember the formula for the area of ANY rhombus and kite.
Apply formulae correctly.
(showing working)
Answer containing
appropriate units
Wednesday, 05 April 2017
Created by Mr.Lafferty

14. Area of a Rhombus d www.mathsrevision.com D This part of the rhombus
is half of the small
rectangle.
Area of a Rhombus d D
Wednesday, 05 April 2017
Created by Mr.Lafferty

15. Area of a Kite Exactly the same process as the rhombus d
Wednesday, 05 April 2017
Created by Mr.Lafferty

16. Rhombus and Kite Area 2cm 4cm www.mathsrevision.com 5cm 9cm
Example 1 : Find the area of the shapes.
2cm
4cm
5cm
9cm
Wednesday, 05 April 2017
Created by Mr.Lafferty

17. Rhombus and Kite Area Exercise 3 Teejay Page 107
Example 2 : Find the area of the V – shape kite.
4cm
7cm
Exercise 3 Teejay Page 107
Wednesday, 05 April 2017
Created by Mr.Lafferty

18. Starter Questions Q1. Is the area of the rhombus equal to 10.5cm2
Explain your answer.
7cm
Q2. Show that there are 2880 minutes in 2 days
Q3. Expand 2p( y - 3p) – 2py
Q4. Calculate
Wednesday, 05 April 2017
Created by Mr.Lafferty

19. Parallelogram Area www.mathsrevision.com Learning Intention
Success Criteria
1. To develop a formula for the area of a parallelogram.
To remember the formula for the area of a parallelogram.
Apply formula correctly.
(showing working)
Answer containing
appropriate units
Wednesday, 05 April 2017
Created by Mr.Lafferty

20. Parallelogram Area Important NOTE h = vertical height hb
Wednesday, 05 April 2017
Created by Mr.Lafferty

21. Parallelogram Area Exercise 4 Teejay Page 110
Example 1 : Find the area of parallelogram.
3cm
9cm
Exercise 4 Teejay Page 110
Wednesday, 05 April 2017
Created by Mr.Lafferty

22. Starter Questions Q1. Find the area of the parallelogram8 7
Q2. Is the HCF 6 and Explain your answer.
Q3. Show that 11.5 % of 150 is 17.25
Q4. Simplify 3(h -2) + h(2 - 4h) = -4h2 + 6h - 6
Wednesday, 05 April 2017
Created by Mr.Lafferty

23. Trapezium Area www.mathsrevision.com Learning Intention
Success Criteria
1. To develop a formula for the area of a trapezium.
To remember the formula for the area of a trapezium.
Apply formula correctly.
(showing working)
Answer containing
appropriate units
Wednesday, 05 April 2017
Created by Mr.Lafferty

24. Trapezium Area Two triangles WXY and WYZ a cm X Y 1 h cm2 W Z
b cm
Wednesday, 05 April 2017
Created by Mr.Lafferty

25. Trapezium Area Exercise 5 Teejay Page 112
Example 1 : Find the area of the trapezium.
5cm
4cm
6cm
Exercise 5 Teejay Page 112
Wednesday, 05 April 2017
Created by Mr.Lafferty

26. Starter Questions Q1. Find the area of the trapezium9
Q1. Find the area of the trapezium 8 7
Q2. Is the HCF for 4 and 12 equal to 2.
Explain your answer.
Q3. Find 6.5% of 60
Q4. Is 3(f – 4) - 4f = 7f -12 Explain your answer
Wednesday, 05 April 2017
Created by Mr.Lafferty

27. Composite Areas www.mathsrevision.com Learning Intention
Success Criteria
1. To show how we can apply basic area formulae to solve more complicated shapes.
To understand the term composite.
2. To apply basic formulae to solve composite shapes.
Answer containing
appropriate units
Wednesday, 05 April 2017
Created by Mr.Lafferty

28. Composite Areas We can use our knowledge of the basic areas
to work out more complicated shapes.
Example 1 : Find the area of the arrow.
5cm
3cm
6cm
4cm
Wednesday, 05 April 2017
Created by Mr.Lafferty

29. Composite Areas Exercise 6 Teejay Page 114
Example 2 : Find the area of the shaded area.
8cm
11cm
4cm
10cm
Exercise 6 Teejay Page 114
Wednesday, 05 April 2017
Created by Mr.Lafferty