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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. www.mathsrevision.com. Simple Areas.

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Level 3Areas 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.

www.mathsrevision.com

Created by Mr.Lafferty

Definition : Area is “ how much space a shape takes up”

A few types of special Areas

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Any Type of Triangle

Revision of Square, Rectangle and RAT.

Rhombus and kite

Parallelogram

Trapezium

Created by Mr.Lafferty

Composite shapes

Q1. Is the solution to the equation x = -3 Explain

ao

Q2. Are the missing angles

ao = 45o and bo = 55o

bo

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Q3. Explain why the mean is equal to 12

16, 9, 15,8

Q4. How many difference ways can you find

Created by Mr.Lafferty

Learning Intention

Success Criteria

• To remember the area formula for the square, rectangle and RAT’s.

• 1. To revise the basic areas including square, rectangles and RAT’s.

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• Apply formulae correctly.

• (showing working)

• Answer containing

• appropriate units

Created by Mr.Lafferty

The Rectangle

The RAT

Revision of Area

l

b

h

l

l

b

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Exercise 1 Teejay Page 101

Created by Mr.Lafferty

Definition : Area is “ how much space a shape takes up”

A few types of special Areas

www.mathsrevision.com

Any Type of Triangle

Revision of Square, Rectangle and RAT.

Rhombus and kite

Parallelogram

Trapezium

Created by Mr.Lafferty

Q1. Calculate

110o

Q2. Are the missing angles 70o,40o,40o Explain

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Q3. Is the HCF of 10 and 36 180 Explain.

Q4. Explain 2 ways of calculating

Created by Mr.Lafferty

Learning Intention

Success Criteria

• To remember the formula for the area of ANY triangle.

• 1. To develop a formula for the area of ANY triangle.

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• Apply formula correctly.

• (showing working)

• Answer containing

• appropriate units

Created by Mr.Lafferty

b

Any Triangle Area

Demo

Sometimes called the altitude

h

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Created by Mr.Lafferty

Any Triangle Area

Example 1 : Find the area of the triangle.

6cm

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Created by Mr.Lafferty

Any Triangle Area

Example 2 : Find the area of the triangle.

Altitude h outside triangle this time.

10cm

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Exercise 2 Teejay Page 104

Created by Mr.Lafferty

Q1. Find the area of the triangle.

3cm

Q2. Expand out 2w( w - 5) – 3w

4cm

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Q3. Calculate

Q4. Find the LCM of the two numbers 4 and 6

Created by Mr.Lafferty

Learning Intention

Success Criteria

• To remember the formula for the area of ANY rhombus and kite.

• 1. To develop a single formula for the area of ANY rhombus and Kite.

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• Apply formulae correctly.

• (showing working)

• Answer containing

• appropriate units

Created by Mr.Lafferty

This part of

the rhombus

is half of the small

rectangle.

d

D

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Created by Mr.Lafferty

D

Area of a Kite

Exactly the same process as the rhombus

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Created by Mr.Lafferty

Example 1 : Find the area of the shapes.

2cm

4cm

5cm

9cm

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Created by Mr.Lafferty

Example 2 : Find the area of the V – shape kite.

4cm

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7cm

Exercise 3 Teejay Page 107

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6cm

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

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Q3. Expand 2p( y - 3p) – 2py

Q4. Calculate

Created by Mr.Lafferty

Learning Intention

Success Criteria

• To remember the formula for the area of a parallelogram.

• 1. To develop a formula for the area of a parallelogram.

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• Apply formula correctly.

• (showing working)

• Answer containing

• appropriate units

Created by Mr.Lafferty

h

b

Important NOTE

h = vertical height

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Created by Mr.Lafferty

Example 1 : Find the area of parallelogram.

3cm

9cm

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Exercise 4 Teejay Page 110

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Q1. Find the area of the parallelogram

8

7

Q2. Is the HCF 6 and 24 24 Explain your answer.

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Q3. Show that 11.5 % of 150 is 17.25

Q4. Simplify 3(h -2) + h(2 - 4h) = -4h2 + 6h - 6

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Learning Intention

Success Criteria

• To remember the formula for the area of a trapezium.

• 1. To develop a formula for the area of a trapezium.

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• Apply formula correctly.

• (showing working)

• Answer containing

• appropriate units

Created by Mr.Lafferty

Two triangles WXY and WYZ

a cm

X

Y

1

h cm

2

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Z

W

b cm

Created by Mr.Lafferty

Example 1 : Find the area of the trapezium.

5cm

4cm

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6cm

Exercise 5 Teejay Page 112

Created by Mr.Lafferty

9

8

Q1. Find the area of the trapezium

7

Q2. Is the HCF for 4 and 12 equal to 2.

Explain your answer.

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Q3. Find 6.5% of 60

Q4. Is 3(f – 4) - 4f = 7f -12 Explain your answer

Created by Mr.Lafferty

Learning Intention

Success Criteria

• To understand the term composite.

• 1. To show how we can apply basic area formulae to solve more complicated shapes.

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2. To apply basic formulae to solve composite shapes.

• Answer containing

• appropriate units

Created by Mr.Lafferty

We can use our knowledge of the basic areas

to work out more complicated shapes.

Example 1 : Find the area of the arrow.

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5cm

6cm

3cm

4cm

Created by Mr.Lafferty

Example 2 : Find the area of the shaded area.

8cm

11cm

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4cm

10cm

Exercise 6 Teejay Page 114

Created by Mr.Lafferty