1. N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Area of a Circle Perimeter & Area www.mathsrevision.com Perimeter Rectilinear & Circle Area Rectilinear Shapes Composite Area

2. N5 Num Starter Questions 16-Jan-16Created by Mr. Lafferty Maths Dept. Q1.Solve the equation below Q2.Find the missing angles Q3.Find the average of the numbers below Q4.Which is the better deal aoao bobo 2,5,6,7 www.mathsrevision.com or

3. N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.Understand the term perimeter of a shape. 1. We are learning the term perimeter of a shape. 2. Calculate the perimeter of a shape. Perimeter

4. N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Perimeter www.mathsrevision.com What is perimeter ? Hint answer is on the screen !

5. N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Perimeter Perimeter www.mathsrevision.com

6. N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Perimeter Perimeter www.mathsrevision.com

7. N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Perimeter is the distance round the outside of a 2D shape Perimeter www.mathsrevision.com

8. N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. 6cm Calculate the perimeter of the rectangle below. 3cm Perimeter = 6 +3 +6 +3 = 18cm Perimeter www.mathsrevision.com Demo

9. N5 Num 16-Jan-16 Created by Mr. Lafferty Maths Dept. Below is a drawing of a school building. Calculate the perimeter. Perimeter www.mathsrevision.com Problem 4 m 9 m 8 m x m 12 m 4 m x = 12 – 9 =3 m Perimeter = 12 + 8 + 3 + 4 + 9 + 4 = 40 m

10. N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com The desks below have been arranged in a certain way. Find the perimeter of each design. Perimeter 2cm

11. N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Circumference 10cm 2cm Example : Find the length of the circumference (Perimeter) of each circle www.mathsrevision.com

12. N5 Num Saturday, 16 January 2016Saturday, 16 January 2016Saturday, 16 January 2016Saturday, 16 January 2016Created by Mr Lafferty12 Example Find the perimeter for the semi-circle shape ? Solution 180 o Perimeter www.mathsrevision.com

13. N5 Num Saturday, 16 January 2016Saturday, 16 January 2016Saturday, 16 January 2016Saturday, 16 January 2016Created by Mr Lafferty13 Example Find the perimeter of the shape below ? Solution 8cm 90 o Perimeter www.mathsrevision.com

14. N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Example : Find the perimeter of this shape 20cm 5 cm Perimeter = 3 sides + semicircle Perimeter www.mathsrevision.com

15. N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Now try N5 Lifeskills Ex1 Ch6 (page 54) www.mathsrevision.com Perimeter

16. N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Starter Questions www.mathsrevision.com Q2.Convert 23metres to (a) cm (b)mm Q1.What is the time difference 09:28 and 11:55 Q3.The answer to the question is 180. What is the question.

17. N5 Num 16-Jan-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. Develop a formula for the area of a rectangle. 2.Apply formula correctly. (showing working) (showing working) 3.Answer containing appropriate units appropriate units

18. N5 Num Saturday, 16 January 2016 18Created by Mr.Lafferty Revision of Area l ll bh b The SquareThe RectangleThe RAT www.mathsrevision.com Area = l x lArea = l x bArea = ½b x h Perimeter = 4 x l Perimeter = 2l + 2b

19. MNU 2-11c MTH 3-11a MTH 3-11b Saturday, 16 January 2016 19Created by Mr.Lafferty Area of a Rhombus D d www.mathsrevision.com This part of the rhombus is half of the small rectangle.

20. N5 Num Saturday, 16 January 2016 20Created by Mr.Lafferty Area of a Kite D d Exactly the same process as the rhombus www.mathsrevision.com

21. N5 Num Saturday, 16 January 2016 21Created by Mr.Lafferty Rhombus and Kite Area Example : Find the area of the shapes. 5cm 2cm 9cm 4cm www.mathsrevision.com

22. N5 Num Saturday, 16 January 2016 22Created by Mr.Lafferty Rhombus and Kite Area Example : Find the area of the V – shape kite. 7cm 4cm www.mathsrevision.com

23. N5 Num Saturday, 16 January 2016 23Created by Mr.Lafferty Parallelogram Area b Important NOTE h = vertical height www.mathsrevision.com h

24. N5 Num Saturday, 16 January 2016 24Created by Mr.Lafferty Parallelogram Area Example 1 : Find the area of parallelogram. 9cm 3cm www.mathsrevision.com Online Demo

25. N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Rectilinear Area Now try N5 Lifeskills Ex2 Ch6 (page 56)

26. N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Starter Questions www.mathsrevision.com

27. N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.Know the formula for the area of a circle. 1We are learning how to calculate the area of a circle. 2. Be able show appropriate working. Area of a Circle Area of a Circle

28. What do we call the distance AB in terms of the large circle. Area of a Circle O A x O A x B What do we call the distance OA in terms of the large circle. circumference Peeling an orange www.mathsrevision.com

29. N5 Num What do we call the distance AB in terms of the large circle. Area of a Circle O A x O A x B What do we call the distance OA in terms of the large circle. circumference Peeling an orange www.mathsrevision.com

30. N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. What is the formula for the area of a right-angle triangle. O A x B Use this formula to work out the area for a circle. Area of a Circle www.mathsrevision.com

31. N5 Num Saturday, 16 January 2016Saturday, 16 January 2016Saturday, 16 January 2016Saturday, 16 January 2016Created by Mr Lafferty31 2 3 4 1 2 3 4 5 6 7 8 1 5 6 7 8 If we break the circle into equal sectors And lay them out side by side We get very close to a rectangle. www.mathsrevision.com Area of a Circle Demo

32. N5 Num Saturday, 16 January 2016Saturday, 16 January 2016Saturday, 16 January 2016Saturday, 16 January 2016Created by Mr Lafferty32 1 2 3 4 5 6 7 8 thinner and thinner sectors If we cut the sectors Thinner and thinner then we get closer and closer to a rectangle. Hence we can represent the area of a circle by a rectangle. www.mathsrevision.com Area of a Circle

33. N5 Num Saturday, 16 January 2016Saturday, 16 January 2016Saturday, 16 January 2016Saturday, 16 January 2016Created by Mr Lafferty33 But the area inside this rectangle is also the area of the circle www.mathsrevision.com Area of a Circle Area = πr 2

34. N5 Num Area of a circle 16-Jan-16Created by Mr. Lafferty Maths Dept. Q.Find the area of the circle ?Solution 4cm www.mathsrevision.com

35. N5 Num Area of a circle 16-Jan-16Created by Mr. Lafferty Maths Dept. Q. The diameter of the circle is 60cm. Find area of the circle?Solution www.mathsrevision.com

36. N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Now try N5 Lifeskills Ex3 Ch6 (page 57) www.mathsrevision.com Area of a Circle Area of a Circle

37. N5 Num 16-Jan-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.

38. N5 Num Area of a Composite 16-Jan-16Created by Mr. Lafferty Maths Dept. 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

39. N5 Num 16-Jan-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

40. N5 Num 16-Jan-16 Calculate the area of this shape 10cm 12cm 8cm 6cm Area of a Composite www.mathsrevision.com

41. N5 Num 16-Jan-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

42. N5 Num 16-Jan-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

43. N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Example 1 : Find the area of the shape 20cm 5 cm Area = rectangle + semicircle Composite Area

44. N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Example 2 : A circle is contained in a square. Find the grey shaded area below. Area = square - circle 8cm Composite Area

45. N5 Num 16-Jan-16Created by Mr. Lafferty Maths Dept. Now try N5 Lifeskills Ex4 Ch6 (page 59) www.mathsrevision.com Composite Area Have you updated your Learning Log ? Are you on Target ? I can ? Are you on Target ? I can ? Are you on Target ? I can ?