1. Level D 4-Aug-15Created by Mr.Lafferty Math Dept Types of Angles Naming Angles www.mathsrevision.com Calculating Missing angles Measuring Angles Compass Points Three Figure Bearings Angles Drawing Angles Vertically Opposite Angles

2. Level D 4-Aug-15Created by Mr.Lafferty Math Dept Starter Questions Q3.Does 234 + 47 + 2 = 313 Explain your answer? Q1.Convert to the 24 hour clock. (a)7:25 pm (b)6:50 am Q2.Is an obtuse angle less than 90 deg. Q4.Round the following to nearest hundred. (a)501(b)9 765 www.mathsrevision.com

3. Level D 4-Aug-15Created by Mr.Lafferty Math Dept Learning Intention Success Criteria 1.To be able to identify acute, right-angle, obtuse, straight line and reflex angles. and reflex angles. 1.Explain some types of Angles at level D. www.mathsrevision.com Type of Angles

4. Level D 4-Aug-15Created by Mr.Lafferty Math Dept Horizontal Vertical Acute less than 90 o Obtuse Between 90 o – 180 o Right - Angle exactly 90 o reflex over 180 o less than 360 o www.mathsrevision.com Straight Line Angle exactly 180 o Type of Angles

5. Level D 4-Aug-15Created by Mr.Lafferty Math Dept Now try Ch8 (page 87) Exercise 1 www.mathsrevision.com Type of Angles

6. Level D 4-Aug-15Created by Mr.Lafferty Math Dept Starter Questions www.mathsrevision.com Q3.Does 565 – 73 = 482 Explain your answer Q1.Convert to the 12 hour clock. (a)17:15 (b)05:40 Q2.Write down 2 numbers that add to give 8 and multiply to give 15. Q4.Round the following to nearest 100. (a)13,551(b)369,449

7. Level D 4-Aug-15Created by Mr.Lafferty Math Dept Learning Intention Success Criteria 1.To be able to name an angle. 1.To explain how we name angles by THREE capital letters with the angle sign. The middle letter being where the angle is. 2.Understand the difference between the type of angle and the name of an angle. www.mathsrevision.com Naming Angles

8. Level D 4-Aug-15 Naming Angles www.mathsrevision.com A B C Type of angle is acute Name of angle is ∠ CBD Type of angle is obtuse Name of angle is ∠ ZYX X Y Z MIDDLE LETTER IS ALWAYS WHERE THE ANGLE IS ALWAYS 3 CAPITAL LETTERS D Type of angle is right angle Name of angle is ∠ ABC

9. Level D 4-Aug-15Created by Mr.Lafferty Math Dept Now try Ch8 (page 88) Exercise 2 www.mathsrevision.com Naming Angles

10. Level D 4-Aug-15Created by Mr.Lafferty Math Dept Starter Questions www.mathsrevision.com

11. Level D 4-Aug-15Created by Mr.Lafferty Math Dept Measuring Angles Learning Intention Success Criteria 1.To be able to measure angle using a protractor. 1.To show how to measure angles of various type. www.mathsrevision.com

12. Level D 4-Aug-1512 A 180 o Protractor Outside scale from 0 o to 180 o going in a clockwise direction. Inside scale from 0 o to 180 o going in an anti-clockwise direction.

13. Level D 4-Aug-1513 You need to be able to measure an angle to the nearest degree. To help you do this you should always: 1. Look directly down onto the cross point. 2. Always use the protractor in a horizontal manner as shown below.

14. Level D 4-Aug-1514 1 2 Measuring Angles with a 180 o Protractor 0 on the outside so use outside scale 0 on the inside so use inside scale 67 o 50 o

15. Level D 4-Aug-1515 3 4 Measuring Angles with a 180 o Protractor 0 on the outside so use outside scale 0 on the inside so use inside scale 135 o 120 o

16. Level D 4-Aug-15Created by Mr.Lafferty Math Dept Now try Ch8 (page 90) Exercise 3 www.mathsrevision.com Measuring Angles

17. Level D 4-Aug-15Created by Mr.Lafferty Math Dept Starter Questions www.mathsrevision.com

18. Level D 4-Aug-15Created by Mr.Lafferty Math Dept Drawing Angles Learning Intention Success Criteria 1.To be able to draw an angle using a ruler and protractor. 1.To show how to daarw angles of various type. www.mathsrevision.com

19. Level D 4-Aug-15Created by Mr. Lafferty19 Drawing Angles Example : Draw an angle BAC of 30 0 Step 1Draw line AC=6cm AC B Step 2Measure an angle of 30 o and put an X beside it. Step 3Draw the line through X. Label it B. Step 4Put in the angle value and name the angle. X 30 o  BAC = 30 o

20. Level D 4-Aug-15Created by Mr. Lafferty20 Drawing Angles Example : Draw an angle STU of 110 0 Step 1Draw line TU=6cm TU S Step 2Measure an angle of 110 o and put an X beside it. Step 3Draw the line through X. Label it S. Step 4Put in the angle value and name the angle. 110 o  STU = 110 o X

21. Level D 4-Aug-15Created by Mr. Lafferty21 Drawing Triangles Example : Draw to scale the triangle PQR with PQ = 8cm and angle RPQ = 30 o and RQP = 40 o Step 1Draw line PQ 8cm P Q R Step 2Measure Angle RPQ from P 30 o Step 3Measure angle RQP from Q 40 o Step 4Where lines cross is point R P Q R 30 o 40 o

22. Level D 4-Aug-15Created by Mr.Lafferty Math Dept Now try Ch8 (page 92) Exercise 4 www.mathsrevision.com Drawing Angles

23. Level D 4-Aug-15Created by Mr.Lafferty Math Dept Starter Questions www.mathsrevision.com 75 o xoxo

24. Level D 4-Aug-15Created by Mr.Lafferty Math Dept Learning Intention Success Criteria 1.To know 360 o in a circle. 1.To calculate missing angle give all other angles. 2.Find the missing angle in a right angle, straight line and vertical opposite angle. www.mathsrevision.com Find Missing Angles

25. Level D 4-Aug-15Created by Mr.Lafferty Math Dept Find Missing Angle 120 o 95 o www.mathsrevision.com Angles round a point always add up to 360 o 65 o Two angles making a straight line add to 180 o (Supplementary angles) 115 o 145 o 35 o Two angles making a right angle add to 90 o (Complementary angles) 55 o

26. Level D 4-Aug-15Created by Mr.Lafferty Math Dept Now try Ch8 (page 93) Exercise 5 www.mathsrevision.com Find Missing Angle

27. Level D 4-Aug-15Created by Mr.Lafferty Math Dept Starter Questions Q1.Find the value of x Q2.Find two numbers that multiply to give 6 and add to give 5. Q3.Does 240 ÷ 10 = 24 Explain your answer. www.mathsrevision.com Q4.I divide a cake in 6 pieces and eat 1 of them. What fraction have I eaten.

28. Level D 4-Aug-15Created by Mr.Lafferty Math Dept www.mathsrevision.com Learning Intention Success Criteria 1.To understand the term vertically opposite. 1. To explain the property of vertically opposite angles. 2. To be able to use property to solve problems. Vertically Opposite Vertically Opposite Angles

29. Level D 4-Aug-15Created by Mr.Lafferty Math Dept Vertically Opposite Angles www.mathsrevision.com angles opposite each other at a cross are equal. 34 o 146 o 146 o 70 o 70 o 110 o 110 o 142 o 142 o 38 o 38 o 131 o 49 o 131 o 49 o

30. Level D 4-Aug-15Created by Mr.Lafferty Math Dept Now try Exercise 6 Ch8 (page 95) www.mathsrevision.com Vertically Opposite Angles

31. Level D 4-Aug-15Created by Mr.Lafferty Math Dept Starter Questions Q1.Does 182 – 75 = 103 Explain. Q2.Find two numbers that multiply to give 48 and divide to give 3. Q3.Find the missing angles 119 o aoao bobo www.mathsrevision.com coco

32. Level D 4-Aug-15Created by Mr.Lafferty Math Dept www.mathsrevision.com Learning Intention Success Criteria 1.To understand the directions on a compass. 1. To explain the basic points on a compass in terms of direction and degrees. 2. To be able to use compass points and degrees to solve problems. Compass Points

33. Level D 4-Aug-15Created by Mr. Lafferty Maths Dept. Compass Points N S E W 090 o 360/000 o 270 o 180 o SE Half way between South and East SW Half way between South and West Half way between North and West NW NE Half way between North and East

34. Level D Compass Points Compass Points Who is North of Daniel Who is East of Jamie Who is South West of Ryan Who is North East of Lewis If Lewis walks to Jamie then to Ryan and then back to where he started. Write down all the directions he took. If Laura walks to Julie then to Danielle and then back to where she started. Write down all the directions she took. If Daniel is facing North and turns clockwise to face Laura. How many degrees is this. If Daniel is facing Frances and turns clockwise to face Danielle. How many degrees is this. If Danielle is facing Paul and turns anti-clockwise to face Daniel. How many degrees is this. 4-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Jamie Julie Lewis Frances Daniel Danielle Ryan Laura Paul N

35. Level D 4-Aug-15Created by Mr.Lafferty Math Dept Now try Exercise 8 Ch8 (page 98) www.mathsrevision.com Compass Points

36. Level D 4-Aug-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

37. Level D 4-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1. To explain what a bearing is and how to measure and draw a bearing. 1. Understand what bearing is. 2. Measure and draw a bearing. Bearings Bearings

38. Level D 1. Measured from North. 2. In a clockwise direction. 3. Written as 3 figures. N S EW N S EW N S EW 060 o 145 o 230 o 315 o 60 o 145 o 230 o 315 o Bearings N S EW 090 o 360/000 o 270 o 180 o

39. Level D Bearings N S E W 090 o 360/000 o 270 o 180 o A 360 o protractor is used to measure bearings. 020 o 080 o 110 o SE 135 o 160 o 210 o SW 225 o 250 o 290 o NW 315 o 350 o Use your protractor to measure the bearing of each point from the centre of the circle. (Worksheet 1) NE 045 o Worksheet 1

40. Level D 4-Aug-15Created by Mr. Lafferty Maths Dept. 360/000 o 090 o 180 o 270 o W E N S Air Traffic Controller Control Tower Estimate the bearing of each aircraft from the centre of the radar screen. 030 o 075 o 045 o 200 o 135 o 330 o 225 o 290 o 110 o 250 o 315 o 170 o

41. Level D N 4-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Draw a bearing of (a) 50 o (b) 230 o Drawing a Bearings 50 o N 230 o

42. Level D 4-Aug-15Created by Mr. Lafferty Maths Dept. Compass Points N S E W 090 o 360/000 o 270 o 180 o SE 135 o SW 225 o NW 315 o NE 045 o Worksheet 1

43. Level D My Estimated Bearing True Bearing Error 1 2 3 4 5 6 7 8 9 10 11 12 TotalError AverageError Worksheet 2 (Radar) My Estimated Bearing True BearingError 1 2 3 4 5 6 7 8 9 10 11 12 TotalError AverageError

44. Level D 4-Aug-15Created by Mr. Lafferty Maths Dept. Now try Ex 9 Ch8 (page 100) www.mathsrevision.com Bearings