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Can you work out the area of each shape?

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Presentation on theme: "Can you work out the area of each shape?"— Presentation transcript:

1 Can you work out the area of each shape?
Starter Can you work out the area of each shape? Each square is 1 cm².

2 Area: the amount of space th shape takes up. Measured in cm², m², mm².
Glossary Area: the amount of space th shape takes up. Measured in cm², m², mm². Perimeter: the distance around the edge of the shape. Measured in cm, m, mm. Area Perimeter

3 Count the squares inside the shape
Area =

4 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 Area = 42 cm²

5 Count the squares around the edge
Area = 42 cm² Perimeter =

6 Area = 42 cm² Perimeter = 26 cm 7 8 9 10 11 12 13 6 14 5 15 4 16 3 17
18 1 19 26 25 24 23 22 21 20 Area = 42 cm² Perimeter = 26 cm

7 Can you work out the area of each shape?
Review Can you work out the area of each shape? Each square is 1 cm². 20 cm² 24 cm² 15 cm²

8 Task Complete the dominoes activity by matching each question to its answer. Cut along the bold lines only. Each square is 1 cm².

9 Answers

10 Area = 12 cm² 3 lots of 4 3 x 4 = 12 cm² 3 lots of 5 3 x 5 = 15 cm²

11 Area = 6 lots of 8 6 x 8 = 48 cm² Area = 5 lots of 5 5 x 5 = 25 m²

12 Perimeter = 8 + 6 + 8 + 6 = 28 cm Perimeter = 5 + 5 + 5 + 5 = 20 m

13 Place any nine numbers below into the grid (repeats forbidden)
13

14 Find the area 5 cm 6 cm 30 cm² 14

15 Find the perimeter 1 cm 5 cm 12 cm 15

16 Find the area 6 cm 9 cm 54 cm² 16

17 Find the area 3 cm 8 cm 24 cm² 17

18 Find the area 3 cm 11 cm 33 cm² 18

19 Find the perimeter 10 cm 14 cm 48 cm 19

20 Find the area 7 cm 9 cm 63 cm 2 20

21 Find the area 7 cm 7 cm 49 cm² 21

22 Find the perimeter 9 cm 9 cm 36 cm 22

23 Find the area 2 cm 5 cm 10 cm² 23

24 Does it matter that it’s a triangle?
Find the perimeter Does it matter that it’s a triangle? 3 cm 3 cm 3 cm 9 cm 24

25 Find the area 3 cm 5 cm 15 cm² 25

26 Find the perimeter 4 cm 4 cm 16 cm 26

27 Find the area 5 cm 5 cm 25 cm² 27

28 Find the area 3 cm 7 cm 21 cm² 28

29 Find the area 5 cm 11 cm 55 cm² 29

30 Answers A = 15 cm² A = 1 cm² A = 24 cm² P = 16 cm P = 4 cm P = 20 cm
A = 12.5 cm² A = 2 cm² A = 0.75 m² P = 15 cm P = 7.4 cm P = 4 m A = m² A = 0.6 cm² A = 39 mm² P = 5.3 m P = 3.4 cm P = 3.2 mm 18 cm 9 cm² 30 cm 22 m 20 mm² 56 mm²

31 Starter Match the area and perimeter to its rectangle.
Fill in the missing cards.

32 Answers

33 How can we calculate the area of this compound shape?
Split it into two rectangles. 6 cm 4 x 6 = 24 cm² 4 cm 6 cm 8 cm 8 x 4 = 32 cm² 8 cm 4 cm = 56 cm² 10 cm ? cm 10 – 6 = 4 cm

34 Answers 13 cm² 66 cm² 42 cm² 126 cm² 112 cm² 108 cm²

35 Answers 22 cm 34 cm 30 cm 49 cm 56 cm 66 cm

36 What is the area of triangle A?
Hint: What is the relationship between a rectangle and a triangle? height Hint: How could you use the area of a rectangle to work out the area of a triangle? base

37 Work out the area of the triangle.
4cm 6cm Area of triangle = ½ x 6 x 4 Area of triangle = ½ x 24 Area of triangle = 12cm2

38 Work out the area of the triangle.
Area of triangle = ½ x 5 x 7 Area of triangle = ½ x 35 7cm Area of triangle = 17.5 cm2 5cm

39 Answers Extension: 21 x 2 = 42 42 ÷ 7 = 6cm ½ x 7 x 4 = 14cm2

40 How can we calculate the area of this parallelogram?
6 cm 5 cm 5cm 5cm

41 How can we calculate the area of this parallelogram?
4 cm 2 cm 5 cm 5cm 5cm

42 How can we calculate the area of this parallelogram?
4 cm 2 cm 5 cm 2 cm 4 cm

43 How can we calculate the area of this parallelogram?
5 cm 2 cm 4 cm

44 How can we calculate the area of this parallelogram?
5 cm 6 x 5 = 30 cm² 6 cm

45 What about this one? 7 x 9 = 63 cm² 7 cm 9 cm

46 15 cm² 56 cm² 49 cm² 64 cm² A B C D

47 20 cm² 45 cm² 180 cm² 36 cm² A B C D

48 80 cm² 20 cm² 100 cm² 18 cm² A B C D

49 Area and Perimeter Bingo
Draw a 3 x 3 grid (what’s its area?) and fill it with 9 of the numbers below. Don’t forget to include units! 21 m² 10 cm² 12 m² 6 m 1 m² 4 m 20 cm² 5 cm² 13 m² 8 cm² 16 cm² 24 m 17 m² 7 m² 9 m² 14 cm² 18 m² 19 cm² 15 cm² 3 m 23 cm² 22 cm² 2 m² 11 m²

50 What is the area of this shape?
4 cm 5 cm

51 What is the area of this shape?
2 cm 8 cm

52 What is the area of this shape?
6 cm 4 cm

53 What is the area of this shape?
3 m 7 m

54 What is the area of this shape?
1 m 17 m

55 What is the area of this shape?
4 cm 2 cm

56 What is the area of this shape?
7 cm 4 cm

57 What is the area of this shape?
2 m 9 m

58 What is the perimeter of this shape?

59 What is the area of this shape?
1 m 13 m

60 What is the perimeter of this shape?

61 What is the area of this shape?
5 cm 2 cm

62 What is the perimeter of this shape?

63 What is the area of this shape?
1 m 1 m

64 What is the area of this shape?
2 cm 5 cm

65 What is the area of this shape?
5 cm 6 cm

66 What is the area of this shape?
1 m 2 m

67 What is the perimeter of this shape?

68 What is the area of this shape?
2 cm 11 cm

69 What is the area of this shape?
1 m 11 m

70 What is the area of this shape?
1 m 7 m

71 What is the area of this shape?
1 cm 19 cm

72 What is the area of this shape?
3 m 3 m

73 What is the area of this shape?
1 cm 23 cm

74 How can we calculate the area of this trapezium?
b h h b a

75 a + b h a + b How can we calculate the area of this trapezium?
Area of parallelogram = h (a + b)

76 a + b h a + b How can we calculate the area of this trapezium?
Area of trapezium = ½ h (a + b)

77 a h b How can we calculate the area of this trapezium?
Area of trapezium = ½ h (a + b)

78 5 cm ½ x 8 x (5 + 7) = ½ x 8 x 12 8 cm = ½ x 96 = 48 cm² 7 cm
What about this one? 5 cm ½ x 8 x (5 + 7) = ½ x 8 x 12 8 cm = ½ x 96 = 48 cm² 7 cm

79 Answers 30 cm² 18 cm² 121 cm² 168 cm² 77 cm² 54 cm² 18 cm² 16.9 cm²


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