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S5 Int 1 Area of a rectangle Area of composite shapes Area of a right-angled triangle www.mathsrevision.com Simple Areas Area of a circle.

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Presentation on theme: "S5 Int 1 Area of a rectangle Area of composite shapes Area of a right-angled triangle www.mathsrevision.com Simple Areas Area of a circle."— Presentation transcript:

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2 S5 Int 1 Area of a rectangle Area of composite shapes Area of a right-angled triangle Simple Areas Area of a circle

3 S5 Int 1 Starter Questions Starter Questions 34 o

4 S5 Int 1 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. 2.Use the formula to solve problems. 2.Apply formula correctly. (showing working) (showing working) 3.Answer containing appropriate units appropriate units

5 S5 Int 1 Problem… General Jack’s Carpets Only £5 a square metre! How much for this one? ?

6 S5 Int 1 3 rows of 6 squares Problem… 6 square metres = 3 x 6= 18 square metres = 1 square metre 3 m 6 m 1m How much for 18 square metres? 18 x £5 = £90

7 S5 Int 1 Area of a rectangle 6 = 18 m² 3 m 6 m 3 6 Area =lengthx breadth length breadth x 3

8 S5 Int 1 Now try TJ Int 1 Chapter Ex Page Area

9 S5 Int 1 Example 1 11 cm 6 cm Area = length x breadth A = l x b A = 11 x 6 A = 66 cm² Find the area of the rectangle

10 S5 Int 1 Example 2 12 cm Area = length x breadth A = l x b A = 12 x 12 A = 144 cm² Find the area of the square

11 S5 Int 1 Starter Questions Starter Questions 123 o

12 S5 Int 1 Area of A Right-Angled Triangle Learning Intention Success Criteria 1.Know area of a right-angled triangle formula 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. 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. 3.Show all working and units.

13 S5 Int 1 Area of a right-angled triangle Area of rectangle = l x b= 28 cm² 4 cm 7 cm = 7 x 4 Area of triangle = 14 cm² = ½ x 28 = ½ x Area of rectangle

14 S5 Int 1 Area of triangle Short cut 4 cm 7 cm Area of triangle = 14 cm²= ½ x 28 = ½ x 7 x 4 Area Δ =x basex height ½ base height

15 S5 Int 1 Example 1 10 cm 15 cm Area Δ=½ x base x height AΔ =½ x b x h AΔ = ½ x 15 x 10 AΔ = 75 cm² Find the area of the triangle

16 S5 Int 1 Example 2 12 cm 8 cm Area Δ=½ x base x height AΔ =½ x b x h AΔ = ½ x 8 x 12 AΔ = 48 cm² Find the area of the triangle

17 S5 Int 1 Now try TJ Int 1 Chapter Ex Page Area

18 S5 Int 1 Starter Questions Starter Questions 123 o

19 S5 Int 1 Area of circle Learning Intention Success Criteria 1.Know area of a circle formula Use the area of a circle formula to calculate the area of different size circles, semi-circles and quarter circles. 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. 3.Show all working and units.

20 S5 Int 1 Area of a circle Saturday, 09 May 2015Saturday, 09 May 2015Saturday, 09 May 2015Saturday, 09 May 2015Created by Mr Lafferty19 Q. Find the area of the circle ?Solution 10cm

21 S5 Int 1 The Area of a circle Saturday, 09 May 2015Saturday, 09 May 2015Saturday, 09 May 2015Saturday, 09 May 2015Created by Mr Lafferty20 Q.Find the area of the circle ?Solution 4cm

22 S5 Int 1 The Area of a circle Saturday, 09 May 2015Saturday, 09 May 2015Saturday, 09 May 2015Saturday, 09 May 2015Created by Mr Lafferty21 Q. The diameter of the circle is 60cm. Find area of the circle?Solution

23 S5 Int 1 The Area of a circle Saturday, 09 May 2015Saturday, 09 May 2015Saturday, 09 May 2015Saturday, 09 May 2015Created by Mr Lafferty22 Find the area of the semi-circle ? Solution

24 S5 Int 1 length of the arc of a circle Saturday, 09 May 2015Saturday, 09 May 2015Saturday, 09 May 2015Saturday, 09 May 2015Created by Mr Lafferty23 Find the area of the quarter circle ? Solution 8cm

25 S5 Int 1 Now try TJ Int 1 Chapter Ex Page Composite shapes

26 S5 Int 1 Starter Questions Starter Questions 34 o

27 S5 Int 1 Area of a Composite 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. 2.Show appropriate working. Made up of Simple shapes

28 S5 Int 1 ? Composite shapes 6 cm 10 cm 13 cm ? 3 cm

29 S5 Int 1 6 cm ? 10 cm (1) (2) Area (1) = l x b= 60 cm²= 10 x 6 Area (2) = 9 cm² = ½ x 3 x 6 = ½ x b x h Area of shape = (1) + (2)= 69 cm²= cm Composite shapes

30 S5 Int 1 Example Area (1)= =15 x 8 Area (2) = l x b l x b = 120 cm² =9 x 3 = 27 cm² Area of shape = (1) + (2) = = 147 cm² 15cm 11cm 6cm 3cm (1) (2) ? 9cm 8cm ? Find the area of the shape

31 S5 Int 1 Example Area (1)= =20 x 12 Area (2) = l x b 12cm 20cm10cm 6cm (1) (2) l x b = 240 cm² =10 x 6 = 60 cm² Area of shape = (1) – (2) = = 180 cm² Find the area of the shape

32 S5 Int 1 9-May-15Created by Mr. Lafferty Maths Dept. Mixed Problems Example : Find the area of the shape 20cm 5 cm Area = rectangle + semicircle

33 S5 Int 1 9-May-15Created by Mr. Lafferty Maths Dept. Mixed Problems The Circle Example : A circle is contained in a square. Find the grey shaded area below. Area = square - circle 8cm

34 S5 Int 1 Now try TJ Int 1 Chapter Ex Page Composite shapes


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