1. 25-Aug-14Created by Mr. Lafferty Maths Dept. Bearings Working with Scales Scaled Drawings Scaled Drawings www.mathsrevision.com Making Simple Scale Drawings Harder Scale Drawings Compass Points MTH 2-17c MTH 2-17d MTH 3-17b

2. 25-Aug-14Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com MTH 2-17c MTH 2-17d MTH 3-17b

3. 25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.Understand the term scale drawings. 1. We are learning the term scale drawing. 2. Interpret scale drawing into real-life measurements. Scale Drawings & Bearings MTH 2-17c MTH 2-17d MTH 3-17b

4. 25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com A scale of 1 cm = 2m This simply means for every 1cm measured on a drawing this represents 2m in real-life. Definition S1 Level E Scales Scales MTH 2-17c MTH 2-17d MTH 3-17b

5. 25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com In order to make sense of a map or scale diagram the scale must be known. Scales Scales 4 cm For this scale model 1 cm represents 1m This means for every 1 metre of the actual car, 1cm is drawn on the map. MTH 2-17c MTH 2-17d MTH 3-17b

6. 25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com 6cm The scale of this drawing is 1cm = 5m What is the actual length of the tree ? Scales Scales 6 x 5 = 30m MTH 2-17c MTH 2-17d MTH 3-17b

7. 25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com 5cm The scale of this drawing is 1cm = 90cm What is the actual length of the bus in metres ? Scales Scales 5 x 90 = 450cm 4.5m MTH 2-17c MTH 2-17d MTH 3-17b

8. 25-Aug-14Created by Mr. Lafferty Maths Dept. Now try Ex 1 Ch17 (page 194) www.mathsrevision.com Scales MTH 2-17c MTH 2-17d MTH 3-17b

9. 25-Aug-14Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com 10cm 14cm 7cm MTH 2-17c MTH 2-17d MTH 3-17b

10. 25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1 We are learning to draw a scale drawing given suitable information. 1. Interpret information in a problem and create a suitable scale drawing. Scale Drawings & Bearings MTH 2-17c MTH 2-17d MTH 3-17b

11. 25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Problem A garden is rectangular in shape and has length 12m and breadth 8m. Make rough sketch of the garden. 12m 8m Scaled Drawings Scaled Drawings Draw an accurate scaled drawing of the garden Use a scale of 1cm represents 2m MTH 2-17c MTH 2-17d MTH 3-17b

12. 25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com 12m 8m Scaled Drawings Scaled Drawings Use a scale of 1cm represents 2m 12m 8m MTH 2-17c MTH 2-17d MTH 3-17b

13. 25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Problem A road junction is triangular in shape. A rough sketch is given below. 20m Scaled Drawings Scaled Drawings Draw an accurate scaled drawing of the garden Use a scale of 1cm represents 2m 12m MTH 2-17c MTH 2-17d MTH 3-17b

14. Scaled Drawings Scaled Drawings 25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Use a scale of 1cm represents 2m 20m 12m 20m 12m Find the real life length of the 3 rd side 2 x 11.6 = 23.2m MTH 2-17c MTH 2-17d MTH 3-17b

15. 25-Aug-14Created by Mr. Lafferty Maths Dept. Now try Exercise 2 Ch17 (page 197) www.mathsrevision.com Scale Drawings & Bearings MTH 2-17c MTH 2-17d MTH 3-17b

16. 25-Aug-14Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com MTH 2-17c MTH 2-17d MTH 3-17b

17. 25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1. We are learning to solve real-life problems using scale drawings. 1. Interpret information in a problem to create a suitable scale drawing. 2. Apply a scale drawing methods to solve a given problem. Scale Drawings & Bearings MTH 2-17c MTH 2-17d MTH 3-17b

18. 25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Problem The sketch shows a flag-pole YT supported by a wire. The distance from X to Y is 6m and angle TXY = 55 o. 55 o X T Y 6m Make a scale drawing and work Out the real height of the pole. Use a scale of 1cm = 2m Scale Drawings & Bearings MTH 2-17c MTH 2-17d MTH 3-17b

19. 25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Scale Drawings & Bearings 55 o X T Y 6m Solution Step 1:Draw line XY=3cm X Y Using a scale of 1cm = 2m Step 2:Draw a line straight up from Y. Step 3:Measure angle 55 o from X. Step 4:Draw line from X to vertical line and mark T at crossover point. T Step 5:Measure length YT. Step 6:Multiply length YT. by scale factor. 4.3cm 4.3 x 2 = 8.6m Flag pole is 8.6m high

20. 25-Aug-14Created by Mr. Lafferty Maths Dept. Now try Exercise 3 Ch17 (page 199) www.mathsrevision.com Harder Scale Drawings MTH 2-17c MTH 2-17d MTH 3-17b

21. 25-Aug-14Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com MTH 2-17c MTH 2-17d MTH 3-17b

22. 25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.We are learning how to write down directions using a map. 2. We are learning how to construct a scale drawing using bearings. 1. Be able to make sense of a map. Directions & Scale Drawings Directions & Scale Drawings 2.Write down accurate directions from a map. 3. Construct and interpret an accurate scale drawing. MTH 2-17c MTH 2-17d MTH 3-17b

23. 25-Aug-14 Created 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

24. MTH 2-17c MTH 2-17d MTH 3-17b Compass Points Compass Points If Anne walks to Julie then to Amy and then back to where she started. Write down all the directions she took. If Daniel is facing North and turns clockwise to face Anne. How many degrees is this. If Daniel is facing Frances and turns clockwise to face Amy. How many degrees is this. If Amy is facing Paul and turns anti-clockwise to face Daniel. How many degrees is this. 25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com John Julie Gary Frances Daniel Amy Barry Anne Paul N Who is North of Daniel Who is East of John Who is South West of Barry Who is North East of Gary If Gary walks to John then to Barry and then back to where he started. Write down all the directions he took.

25. MTH 2-17c MTH 2-17d MTH 3-17b Map Directions I leave the zoo to go back to my car which is in the town car park. Write down the directions I should take. There’s a fire at the library. Right down the directions the fire engine should take. I come out of the swimming pool and turn right then left. I go into the building second on my the right. Name the building. After going to the park I want to go to the cinema. Tea Lane is closed. Write down the directions I should take. I come out of school and go to the Park. Write down the directions I must take. I come out of the charity shop and need to catch a bus. Write down the directions to the bus station. 25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com N

26. 25-Aug-14Created by Mr. Lafferty Maths Dept. Now try Ex 4 Ch17 do orally (page 202) www.mathsrevision.com Compass points MTH 2-17c MTH 2-17d MTH 3-17b

27. 25-Aug-14Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com MTH 2-17c MTH 2-17d MTH 3-17b

28. 25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1 We are learning how to work out a bearing.. 1. Calculate a bearing. 2. Remember to give a bearing in the correct format (three figure reference). Scale Drawings & Bearings MTH 2-17c MTH 2-17d MTH 3-17b

29. 25-Aug-14 Created by Mr. Lafferty Maths Dept. 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

30. 25-Aug-14 Created by Mr. Lafferty Maths Dept. 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

31. 25-Aug-14 Created 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

32. 25-Aug-14 Created by Mr. Lafferty Maths Dept. 360/000 o 090 o 180 o 270 o W E N S Air Traffic Controller Control Tower 1 2 12 10 9 8 4 11 7 6 5 3 040 o 250 o 280 o 120 o 195 o 010 o 325 o 155 o 235 o 310 o 060 o Worksheet 2 Estimate the bearing of each aircraft from the centre of the radar screen. ACE Controller contest

33. 25-Aug-14 Created by Mr. Lafferty Maths Dept. Bearings Measuring the bearing of one point from another. 1. Draw a straight line between both points. 2. Draw a North line at P. 3. Measure angle between. N P Q To Find the bearing of Q from P. 118 o Worksheet 3

34. 25-Aug-14 Created by Mr. Lafferty Maths Dept. Bearings Measuring the bearing of one point from another. 1. Draw a straight line between both points. 2. Draw a North line at Q. 3. Measure angle between. N P Q To Find the bearing of P from Q. 298 o Worksheet 3

35. 25-Aug-14 Created by Mr. Lafferty Maths Dept. Bearings: Fixing Position Trainee pilots have to to learn to be cope when the unexpected happens. If their navigation equipment fails they can quickly find their position by calling controllers at two different airfields for a bearing. The two bearings will tell the pilot where he is. The initial call on the controllers radio frequency will trigger a line on the radar screen showing the bearing of the calling aircraft. Airfield (A) 283.2 MHZ UHF Airfield (B) 306.7 MHZ UHF Thankyou 170 o 255 o

36. 25-Aug-14Created by Mr. Lafferty Maths Dept. Now try Ex 5 Ch17 (page 203) www.mathsrevision.com Bearings MTH 2-17c MTH 2-17d MTH 3-17b

37. 25-Aug-14 Created by Mr. Lafferty Maths Dept. Bearings N S E W 090 o 000/360 o 270 o 180 o Worksheet 1

38. 25-Aug-14 Created by Mr. Lafferty Maths Dept. 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