1. N4 LS 13-Jun-16Created by Mr. Lafferty Maths Dept. Area Area www.mathsrevision.com Area Rectangle Composite Areas Area of Triangle Carpet Problem Exam Type Questions Area of ANY Triangle

2. N4 LS 13-Jun-16Created by Mr. Lafferty Maths Dept. Starter Questions www.mathsrevision.com Q3.Convert 23metres to (a) cm (b)mm Q2. Q1.What is the time difference 09:28 and 11:55 Q4.The answer to the question is 180. What is the question.

3. N4 LS 13-Jun-16Created by Mr. Lafferty Maths Dept. Area of a Rectangle www.mathsrevision.com Learning Intention Success Criteria 1.Remember area formula for a rectangle. 1. We are learning to calculate the area of rectangle. 2.Apply formula correctly. (showing working) (showing working) 3.Answer containing appropriate units appropriate units

4. N4 LS 13-Jun-16Created by Mr. Lafferty Maths Dept. Area of a Rectangle www.mathsrevision.com Example Find the area of the rectangular bathroom. A = L x B A = 5 x 2.5 A = 12.5 m 2 5m 2.5m

5. N4 LS 13-Jun-16Created by Mr. Lafferty Maths Dept. Area of a Rectangle www.mathsrevision.com Find the area of the rectangular bedroom. A = L x B A = 7.2 x 4 A = 28.8 m 2 4m 7.2m A new carpet is to be laid. The cost is £20 per m 2 (including fitting) Calculate the total cost of the new carpet. Total cost = 28.8 x 20 = £576

6. N4 LS 13-Jun-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Area of a Rectangle Now try N4 Lifeskills Ex1 Ch15 (page 120)

7. N4 LS 13-Jun-16Created by Mr. Lafferty Maths Dept. Starter Questions www.mathsrevision.com Q1.Calculate Q4.Convert 57 metres to (a) cm (b)mm Q3. Q2.True or false the perimeter of the shape is 130cm and the area is 46cm. 13cm 10cm

8. N4 LS 13-Jun-16Created by Mr. Lafferty Maths Dept. Area of A Right-Angled Triangle www.mathsrevision.com Learning Intention Success Criteria 1.Remember the area formula for a right-angled triangle. area of any 1.Develop the formula for the area of any right-angled triangle. 2.Use formula to work out area of triangle. 3.Show all working and units.

9. N4 LS 13-Jun-16Created by Mr. Lafferty Maths Dept. Calculate the area of this shape 8cm A = l x b A = 10 x 8 A = 80cm 2 10cm www.mathsrevision.com Area of A Right-Angled Triangle

10. N4 LS 13-Jun-16Created by Mr. Lafferty Maths Dept. Vertical Height base www.mathsrevision.com Area of A Right-Angled Triangle Demo

11. N4 LS 13-Jun-16Created by Mr. Lafferty Maths Dept. Calculate the area of this shape 12cm 6cm www.mathsrevision.com Area of A Right-Angled Triangle

12. N4 LS 13-Jun-16Created by Mr. Lafferty Maths Dept. Calculate the area of this shape 3cm 4cm Area of A Right-Angled Triangle www.mathsrevision.com

13. N4 LS 13-Jun-16Created by Mr. Lafferty Maths Dept. Calculate the area of this right-angle triangular shelf. Area of A Right-Angled Triangle www.mathsrevision.com 40cm A = ½bh A = ½ x 40 x 40 A = 800cm 2 A shelf costs £15.50. How much for 4 shelves. Total = 15.50 x 4 = £62

14. N4 LS 13-Jun-16Created by Mr. Lafferty Maths Dept. Area of A Right-Angled Triangle Now try N4 Lifeskills Ex2 Ch15 Q4 onwards (page 121) www.mathsrevision.com

15. N4 LS Monday, 13 June 2016Monday, 13 June 2016Monday, 13 June 2016Monday, 13 June 2016Created by Mr.Lafferty15 Starter Questions Q1.Calculate Q2.Find all the missing angles Q3.Find the HCF of the two numbers 10 and 36 Q4.Find 135 o www.mathsrevision.com

16. N4 LS Monday, 13 June 2016Monday, 13 June 2016Monday, 13 June 2016Monday, 13 June 2016Created by Mr.Lafferty16 Any Triangle Area Learning Intention Success Criteria 1.To know the formula for the area of ANY triangle. 1. To develop a formula for the area of ANY triangle. 2.Use the formula to solve problems. 2.Apply formula correctly. (showing working) (showing working) 3.Answer containing appropriate units appropriate units www.mathsrevision.com

17. N4 LS Monday, 13 June 2016Monday, 13 June 2016Monday, 13 June 2016Monday, 13 June 2016Created by Mr.Lafferty Any Triangle Area h b Sometimes called the altitude h = vertical height www.mathsrevision.com A = ½bh

18. N4 LS Monday, 13 June 2016Monday, 13 June 2016Monday, 13 June 2016Monday, 13 June 2016Created by Mr.Lafferty18 Any Triangle Area 6cm 8cm Find the area of the triangle. www.mathsrevision.com A = ½bh A = ½ x 6 x 8 A = 48cm 2

19. N4 LS 13-Jun-16Created by Mr. Lafferty Maths Dept. Area of ANY Triangle Now try N4 Lifeskills Ex3 Ch15 Q3 onwards (page 124) www.mathsrevision.com

20. N4 LS 13-Jun-16Created by Mr. Lafferty Maths Dept. Starter Questions www.mathsrevision.com Q1.Why is Q4.Convert 45.1 metres to (a) cm (b)mm Q3. Q2.What is the time difference 07:54 and 13:36 Q5.The answer to the question is 90. What is the question.

21. N4 LS 13-Jun-16Created by Mr. Lafferty Maths Dept. Area of a Composite www.mathsrevision.com Learning Intention Success Criteria 1.Use knowledge gained so far to find the area of more complicated shapes.. 1. We are learning to find area for more complicated shapes. 2.Show appropriate working. Made up of Simple shapes

22. N4 LS 13-Jun-16Created by Mr. Lafferty Maths Dept. Calculate the area of this shape 8cm 9cm 5cm 6cm A = l x b A = 9 x 8 A = 72cm 2 A = l x b A = 6 x 5 A = 30cm 2 Total Area = = 102cm 2 72 + 30 Area of a Composite www.mathsrevision.com

23. N4 LS 13-Jun-16 Calculate the area of this shape 10cm 12cm 8cm 6cm Area of a Composite www.mathsrevision.com

24. N4 LS 13-Jun-16 Calculate the area of this shape 10cm 6cm 8cm 4cm A = l x b A = 8 x 10 A = 80cm 2 A = l x b A = 4 x 6 A =24cm 2 Total Area =80 + 24 = 104cm 2 Area of a Composite www.mathsrevision.com

25. N4 LS 13-Jun-16Created by Mr. Lafferty Maths Dept. Calculate the area of this shape 5cm 6cm 16cm 5cm A = l x b A = 16 x 5 A = 80cm 2 Rectangle 1 Rectangle 2 A = l x b A = 6 x 5 A = 30cm 2 A = 30cm 2 Total Area = 80 + 30 =110cm 2 Area of a Composite www.mathsrevision.com

26. N4 LS 13-Jun-16Created by Mr. Lafferty Maths Dept. Calculate the area of this shape 7cm 8cm Area of a Composite www.mathsrevision.com 4cm A T = A 1 + A 2 A T = l x b + ½bh A T = 8 x 7 + ½(8)(4) A T = 56 + 16 A T = 72cm 2

27. N4 LS 13-Jun-16Created by Mr. Lafferty Maths Dept. Area of a Composite www.mathsrevision.com Now try N4 Lifeskills Ex4 Ch15 (page 126)

28. Scale Drawing Scale 1cm to 0.5mLength 6m = 12 cm on the scale drawing Length 4.5m = 9cm on the scale drawing 4.5m 6m 4m 1.5m 2m 3m Perimeter = 6 + 3 + 2 + 1.5 + 4 + 4.5 = 21m No of packs = 21 ÷ 5 = 4.2 packs So we need 5 packs Cost = 5 x £ 4.50 = £22.50 (9cm) (8cm) (12cm) (6cm) (4cm) (3cm) For carpet grip we need to calculate PERIMETER 5m pack cost £4.50

29. Fitting carpet means we need to calculate AREA 4m 4.5m 6m 1.5m 2m 3m Area = L x B = 4 x 4.5 = 18m 2 6m 2 Minimum Area required = 18 + 6 = 24m 2 Remember the carpet only comes 4m wide ! What’s the best way to fit it ?

30. 4m 4.5m 6m 1.5m 2m 3m Minimum AREA required = 18 + 6 = 24m 2 Cost £12 x 26 = £ 312 2m Area 4 x 6.5 = 26m 2 With a bit left over ! One possible solution Total cost £22.50 + £312 =£334.50

31. 4m 4.5m 6m 3m Minimum AREA required = 18 + 6 = 24m 2 Cost £12 x 24 = £ 288 Area 4 x 6 = 24m 2 Nothing left over ! Best possible solution 1.5m 2m Total cost £22.50 + £288 =£310.50

34. 2 KU