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Area of a rectangle

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Simple Areas www.mathsrevision.com Area of a rectangle Area of a right-angled triangle Area of a circle Area of composite shapes Created by Mr Lafferty S3 S5 Int 1 ... – PowerPoint PPT presentation

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Title: Area of a rectangle


1
Simple Areas
Area of a rectangle
Area of a right-angled triangle
www.mathsrevision.com
Area of a circle
Area of composite shapes
2
Starter Questions
www.mathsrevision.com
34o
3
Area of a Rectangle
Learning Intention
Success Criteria
  1. To be able to state area formula for a rectangle.

1. To come up with a formula for the
area of a rectangle.
  • Apply formula correctly.
  • (showing working)

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  1. Use the formula to solve problems.
  • Answer containing
  • appropriate units

4

Problem
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Only 5 a square metre!
How much for this one?
?
5
Problem
1m
1m
1 square metre
6 m
6 square metres
6 square metres
3 m
6 square metres
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3 rows of 6 squares
3 x 6
18 square metres
18 x 5 90
How much for 18 square metres?
6
Area of a rectangle
6
6 m
length
3
3 m
breadth
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6
x 3
18 m²
Area
length
x breadth
7
Area
Now try TJ Int 1 Chapter Ex Page
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8
Example 1
Area length x breadth
A l x b
11 cm
A 11 x 6
6 cm
A 66 cm²
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Find the area of the rectangle
9
Example 2
Area length x breadth
A l x b
A 12 x 12
A 144 cm²
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12 cm
Find the area of the square
10
Starter Questions
www.mathsrevision.com
123o
11
Area of A Right-Angled Triangle
Learning Intention
Success Criteria
  1. Know area of a right-angled triangle formula

1. Use the area of a rectangle formula to help
us to come up with a formula to calculate the
area of any right-angled triangle.
2. Use formula to work out area of triangle.
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3. Show all working and units.
12
Area of a right-angled triangle
4 cm
7 cm
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Area of rectangle
l x b
28 cm²
7 x 4
Area of triangle
½ x Area of rectangle
½ x 28
14 cm²
13
Area of triangle Short cut
4 cm
height
base
7 cm
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Area of triangle
½ x 7 x 4
14 cm²
½ x 28
Area ?
x base
x height
½
14
Example 1
Area ?½ x base x height
A? ½ x b x h
A? ½ x 15 x 10
10 cm
A? 75 cm²
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15 cm
Find the area of the triangle
15
Example 2
Area ?½ x base x height
8 cm
A? ½ x b x h
A? ½ x 8 x 12
12 cm
A? 48 cm²
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Find the area of the triangle
16
Area
Now try TJ Int 1 Chapter Ex Page
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17
Starter Questions
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123o
18
Area of circle
Learning Intention
Success Criteria
  1. Know area of a circle formula

1. Use the area of a circle formula to
calculate the area of different size circles,
semi-circles and quarter circles.
2. Use formula to work out area of different size
circles, semi-circles and quarter circles.
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3. Show all working and units.
19
Area of a circle
Q. Find the area of the circle ?
10cm
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20
The Area of a circle
Q. Find the area of the circle ?
4cm
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21
The Area of a circle
  • The diameter of the circle is 60cm.
  • Find area of the circle?

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22
The Area of a circle
Find the area of the semi-circle ?
Solution
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23
length of the arc of a circle
Find the area of the quarter circle ?
8cm
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24
Composite shapes
Now try TJ Int 1 Chapter Ex Page
www.mathsrevision.com
25
Starter Questions
www.mathsrevision.com
26
Area of a Composite
Made up of Simple shapes
Learning Intention
Success Criteria
  1. To be able to use knowledge gained so far to find
    the area of more complicated shapes..

1. To use knowledge to find area of more
complicate shapes.
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  1. Show appropriate working.

27
Composite shapes
10 cm
6 cm
?
3 cm
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28
Composite shapes
10 cm
6 cm
(1)
6 cm
(2)
?
3 cm
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Area (1)
l x b
60 cm²
10 x 6
Area (2)
½ x b x h
½ x 3 x 6
9 cm²
Area of shape
(1) (2)
69 cm²
60 9
29
Example
l x b
Area (1)
15 x 8
120 cm²
?
8cm
(1)
Area (2) l x b
9 x 3
27 cm²
(2)
(1) (2)
Area of shape
120 27
9cm
147 cm²
Find the area of the shape
30
Example
l x b
Area (1)
20 x 12
240 cm²
Area (2) l x b
10 x 6
(2)
60 cm²
(1) (2)
Area of shape
240 -60
(1)
180 cm²
Find the area of the shape
31
Mixed Problems
Example Find the area of the shape
Area rectangle semicircle
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32
Mixed Problems
The Circle
Example A circle is contained in a
square. Find the grey shaded area below.
8cm
Area square - circle
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33
Composite shapes
Now try TJ Int 1 Chapter Ex Page
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