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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 3 areas of simple shapes l.jpg
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


Simple areas l.jpg
Simple Areas

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

Composite shapes


Starter questions l.jpg
Starter Questions

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


Slide4 l.jpg

Revision of Area

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


Revision of area l.jpg

The Square

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


Basic simple areas l.jpg
Basic Simple Areas

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


Starter questions7 l.jpg
Starter Questions

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


Any triangle area l.jpg
Any Triangle Area

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.

www.mathsrevision.com

  • Apply formula correctly.

  • (showing working)

  • Answer containing

  • appropriate units

Created by Mr.Lafferty


Any triangle area9 l.jpg

h = vertical height

b

Any Triangle Area

Demo

Sometimes called the altitude

h

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Created by Mr.Lafferty


Any triangle area10 l.jpg

8cm

Any Triangle Area

Example 1 : Find the area of the triangle.

6cm

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Created by Mr.Lafferty


Any triangle area11 l.jpg

4cm

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


Starter questions12 l.jpg
Starter Questions

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


Rhombus and kite area l.jpg
Rhombus and Kite Area

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.

www.mathsrevision.com

  • Apply formulae correctly.

  • (showing working)

  • Answer containing

  • appropriate units

Created by Mr.Lafferty


Area of a rhombus l.jpg
Area of a Rhombus

This part of

the rhombus

is half of the small

rectangle.

d

D

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Created by Mr.Lafferty


Area of a kite l.jpg

d

D

Area of a Kite

Exactly the same process as the rhombus

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Created by Mr.Lafferty


Rhombus and kite area16 l.jpg
Rhombus and Kite Area

Example 1 : Find the area of the shapes.

2cm

4cm

5cm

9cm

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Created by Mr.Lafferty


Rhombus and kite area17 l.jpg
Rhombus and Kite Area

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

4cm

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7cm

Exercise 3 Teejay Page 107

Created by Mr.Lafferty


Starter questions18 l.jpg
Starter Questions

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


Parallelogram area l.jpg
Parallelogram Area

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.

www.mathsrevision.com

  • Apply formula correctly.

  • (showing working)

  • Answer containing

  • appropriate units

Created by Mr.Lafferty


Parallelogram area20 l.jpg
Parallelogram Area

h

b

Important NOTE

h = vertical height

www.mathsrevision.com

Created by Mr.Lafferty


Parallelogram area21 l.jpg
Parallelogram Area

Example 1 : Find the area of parallelogram.

3cm

9cm

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Exercise 4 Teejay Page 110

Created by Mr.Lafferty


Starter questions22 l.jpg
Starter Questions

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

Created by Mr.Lafferty


Trapezium area l.jpg
Trapezium Area

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.

www.mathsrevision.com

  • Apply formula correctly.

  • (showing working)

  • Answer containing

  • appropriate units

Created by Mr.Lafferty


Trapezium area24 l.jpg
Trapezium Area

Two triangles WXY and WYZ

a cm

X

Y

1

h cm

2

www.mathsrevision.com

Z

W

b cm

Created by Mr.Lafferty


Trapezium area25 l.jpg
Trapezium Area

Example 1 : Find the area of the trapezium.

5cm

4cm

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6cm

Exercise 5 Teejay Page 112

Created by Mr.Lafferty


Starter questions26 l.jpg
Starter Questions

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


Composite areas l.jpg
Composite Areas

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


Composite areas28 l.jpg
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.

www.mathsrevision.com

5cm

6cm

3cm

4cm

Created by Mr.Lafferty


Composite areas29 l.jpg
Composite Areas

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


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