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Created by Mr. Lafferty Maths Dept.

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1 Created by Mr. Lafferty Maths Dept.
Scaled Drawings MTH 2-17c MTH 2-17d MTH 3-17b Working with Scales Making Simple Scale Drawings Harder Scale Drawings Compass Points Bearings 20-Sep-18 Created by Mr. Lafferty Maths Dept.

2 Created by Mr. Lafferty Maths Dept.
Starter Questions MTH 2-17c MTH 2-17d MTH 3-17b 20-Sep-18 Created by Mr. Lafferty Maths Dept.

3 Scale Drawings & Bearings
MTH 2-17c MTH 2-17d MTH 3-17b Learning Intention Success Criteria 1. We are learning the term scale drawing. Understand the term scale drawings. 2. Interpret scale drawing into real-life measurements. 20-Sep-18 Created by Mr. Lafferty Maths Dept.

4 Scales Definition A scale of www.mathsrevision.com 1 cm = 2m
MTH 2-17c MTH 2-17d MTH 3-17b S1 Level E Definition A scale of 1 cm = 2m This simply means for every 1cm measured on a drawing this represents 2m in real-life. 20-Sep-18 Created by Mr. Lafferty Maths Dept.

5 Created by Mr. Lafferty Maths Dept.
Scales MTH 2-17c MTH 2-17d MTH 3-17b In order to make sense of a map or scale diagram the scale must be known. For this scale model 1 cm represents 1m 4 cm This means for every 1 metre of the actual car, 1cm is drawn on the map. 20-Sep-18 Created by Mr. Lafferty Maths Dept.

6 Scales 1cm = 5m 6cm www.mathsrevision.com 6 x 5 = 30m
MTH 2-17c MTH 2-17d MTH 3-17b The scale of this drawing is 1cm = 5m 6cm What is the actual length of the tree ? 6 x 5 = 30m 20-Sep-18 Created by Mr. Lafferty Maths Dept.

7 Scales 1cm = 90cm www.mathsrevision.com 5cm 5 x 90 = 450cm 4.5m
MTH 2-17c MTH 2-17d MTH 3-17b The scale of this drawing is 1cm = 90cm What is the actual length of the bus in metres ? 5cm 5 x 90 = 450cm 4.5m 20-Sep-18 Created by Mr. Lafferty Maths Dept.

8 Created by Mr. Lafferty Maths Dept.
Scales MTH 2-17c MTH 2-17d MTH 3-17b Now try Ex 1 Ch17 (page 194) 20-Sep-18 Created by Mr. Lafferty Maths Dept.

9 Created by Mr. Lafferty Maths Dept.
Starter Questions MTH 2-17c MTH 2-17d MTH 3-17b 14cm 7cm 10cm 20-Sep-18 Created by Mr. Lafferty Maths Dept.

10 Scale Drawings & Bearings
MTH 2-17c MTH 2-17d MTH 3-17b Learning Intention Success Criteria 1. Interpret information in a problem and create a suitable scale drawing. 1 We are learning to draw a scale drawing given suitable information. 20-Sep-18 Created by Mr. Lafferty Maths Dept.

11 Scaled Drawings Problem A garden is rectangular in shape and
MTH 2-17c MTH 2-17d MTH 3-17b Problem A garden is rectangular in shape and has length 12m and breadth 8m. Make rough sketch of the garden. 12m Draw an accurate scaled drawing of the garden Use a scale of 1cm represents 2m 8m 20-Sep-18 Created by Mr. Lafferty Maths Dept.

12 Created by Mr. Lafferty Maths Dept.
Scaled Drawings MTH 2-17c MTH 2-17d MTH 3-17b Use a scale of 1cm represents 2m 1cm represents 2m 12m 12m 8m 8m 20-Sep-18 Created by Mr. Lafferty Maths Dept.

13 Scaled Drawings Problem A road junction is triangular in shape.
MTH 2-17c MTH 2-17d MTH 3-17b Problem A road junction is triangular in shape. A rough sketch is given below. Draw an accurate scaled drawing of the junction Use a scale of 1cm represents 2m 20m 12m 20-Sep-18 Created by Mr. Lafferty Maths Dept.

14 Scaled Drawings www.mathsrevision.com 20m 20m 12m 2 x 11.6 = 23.2m 12m
MTH 2-17c MTH 2-17d MTH 3-17b Use a scale of 1cm represents 2m Find the real life length of the 3rd side 1cm represents 2m 20m 20m 12m 2 x 11.6 = 23.2m 12m 20-Sep-18 Created by Mr. Lafferty Maths Dept.

15 Scale Drawings & Bearings
MTH 2-17c MTH 2-17d MTH 3-17b Now try Exercise 2 Ch17 (page 197) 20-Sep-18 Created by Mr. Lafferty Maths Dept.

16 Created by Mr. Lafferty Maths Dept.
Starter Questions MTH 2-17c MTH 2-17d MTH 3-17b 20-Sep-18 Created by Mr. Lafferty Maths Dept.

17 Scale Drawings & Bearings
MTH 2-17c MTH 2-17d MTH 3-17b Learning Intention Success Criteria 1. Interpret information in a problem to create a suitable scale drawing. 1. We are learning to solve real-life problems using scale drawings. 2. Apply a scale drawing methods to solve a given problem. 20-Sep-18 Created by Mr. Lafferty Maths Dept.

18 Scale Drawings & Bearings
MTH 2-17c MTH 2-17d MTH 3-17b Problem The sketch shows a flag-pole YT supported by a wire. The distance from X to Y is 6m and angle TXY = 55o. 55o X T Y Make a scale drawing and work Out the real height of the pole. Use a scale of 1cm = 2m 6m 20-Sep-18 Created by Mr. Lafferty Maths Dept.

19 Scale Drawings & Bearings
55o X T Y 6m Scale Drawings & Bearings Solution Using a scale of 1cm = 2m T Step 1: Draw line XY=3cm Step 2: Draw a line straight up from Y. Step 3: Measure angle 55o from X. Step 4: Draw line from X to vertical line and mark T at crossover point. Step 5: Measure length YT. 4.3cm Step 6: Multiply length YT. by scale factor. 4.3 x 2 = 8.6m X Y Flag pole is 8.6m high 20-Sep-18 Created by Mr. Lafferty Maths Dept.

20 Created by Mr. Lafferty Maths Dept.
Harder Scale Drawings MTH 2-17c MTH 2-17d MTH 3-17b Now try Exercise 3 Ch17 (page 199) 20-Sep-18 Created by Mr. Lafferty Maths Dept.

21 Created by Mr. Lafferty Maths Dept.
Starter Questions MTH 2-17c MTH 2-17d MTH 3-17b 20-Sep-18 Created by Mr. Lafferty Maths Dept.

22 Directions & Scale Drawings
MTH 2-17c MTH 2-17d MTH 3-17b Learning Intention Success Criteria 1. Be able to make sense of a map. We are learning how to write down directions using a map. 2. We are learning how to construct a scale drawing using bearings. Write down accurate directions from a map. 3. Construct and interpret an accurate scale drawing. 20-Sep-18 Created by Mr. Lafferty Maths Dept.

23 Compass Points Half way between North and West
NW NE Half way between North and East SW Half way between South and West SE Half way between South and East 20-Sep-18 Created by Mr. Lafferty Maths Dept.

24 Created by Mr. Lafferty Maths Dept.
If Anne walks to Julie then to Amy and then back to where she started. Write down all the directions she took. If Gary walks to John then to Barry and then back to where he started. Write down all the directions he 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. Who is South West of Barry Who is East of John Who is North East of Gary Who is North of Daniel Compass Points MTH 2-17c MTH 2-17d MTH 3-17b John Frances Barry N Julie Daniel Anne Gary Amy Paul 20-Sep-18 Created by Mr. Lafferty Maths Dept.

25 Map Directions N www.mathsrevision.com
There’s a fire at the library. Right down the directions the fire engine should take. I leave the zoo to go back to my car which is in the town car park. Write down the directions I should take. 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 the swimming pool and turn right then left. I go into the building second on my the right. Name the building. I come out of the charity shop and need to catch a bus. Write down the directions to the bus station. I come out of school and go to the Park. Write down the directions I must take. Map Directions MTH 2-17c MTH 2-17d MTH 3-17b N 20-Sep-18 Created by Mr. Lafferty Maths Dept.

26 Created by Mr. Lafferty Maths Dept.
Compass points MTH 2-17c MTH 2-17d MTH 3-17b Now try Ex 4 Ch17 do orally (page 202) 20-Sep-18 Created by Mr. Lafferty Maths Dept.

27 Created by Mr. Lafferty Maths Dept.
Starter Questions MTH 2-17c MTH 2-17d MTH 3-17b 20-Sep-18 Created by Mr. Lafferty Maths Dept.

28 Scale Drawings & Bearings
MTH 2-17c MTH 2-17d MTH 3-17b Learning Intention Success Criteria 1. Calculate a bearing. 1 We are learning how to work out a bearing.. 2. Remember to give a bearing in the correct format (three figure reference). 20-Sep-18 Created by Mr. Lafferty Maths Dept.

29 Created by Mr. Lafferty Maths Dept.
Bearings N S E W 090o 360/000o 270o 180o 1. Measured from North. 60o 060o 2. In a clockwise direction. 3. Written as 3 figures. N S E W 315o 145o 230o 315o 230o 145o 20-Sep-18 Created by Mr. Lafferty Maths Dept.

30 Bearings A 360o protractor is used to measure bearings.
Use your protractor to measure the bearing of each point from the centre of the circle (Worksheet 1) N S E W 090o 360/000o 270o 180o 350o 020o NW 315o NE 045o 290o 080o 250o SW 225o 210o 110o 160o SE 135o Worksheet 1 20-Sep-18 Created by Mr. Lafferty Maths Dept.

31 360/000o 090o 180o 270o W E N S Air Traffic Controller Control Tower 030o 330o Estimate the bearing of each aircraft from the centre of the radar screen. 315o 045o 290o 075o 250o 225o 200o 135o 110o 170o 20-Sep-18 Created by Mr. Lafferty Maths Dept.

32 360/000o 090o 180o 270o W E N S Air Traffic Controller Control Tower 010o 1 2 12 10 9 8 4 11 7 6 5 3 325o Estimate the bearing of each aircraft from the centre of the radar screen. ACE Controller contest 040o 310o 060o 280o 250o 235o 195o 155o 120o Worksheet 2 20-Sep-18 Created by Mr. Lafferty Maths Dept.

33 Created by Mr. Lafferty Maths Dept.
Bearings Measuring the bearing of one point from another. P Q To Find the bearing of Q from P. N 118o 1. Draw a straight line between both points. 2. Draw a North line at P. 3. Measure angle between. Worksheet 3 20-Sep-18 Created by Mr. Lafferty Maths Dept.

34 Created by Mr. Lafferty Maths Dept.
Bearings Measuring the bearing of one point from another. P Q To Find the bearing of P from Q. N 298o 1. Draw a straight line between both points. 2. Draw a North line at Q. 3. Measure angle between. Worksheet 3 20-Sep-18 Created by Mr. Lafferty Maths Dept.

35 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 170o 255o Thankyou 20-Sep-18 Created by Mr. Lafferty Maths Dept.

36 Created by Mr. Lafferty Maths Dept.
Bearings MTH 2-17c MTH 2-17d MTH 3-17b Now try Ex 5 Ch17 (page 203) 20-Sep-18 Created by Mr. Lafferty Maths Dept.

37 Created by Mr. Lafferty Maths Dept.
Bearings N S E W 090o 000/360o 270o 180o Worksheet 1 20-Sep-18 Created by Mr. Lafferty Maths Dept.

38 Created by Mr. Lafferty Maths Dept.
My Estimated Bearing True Bearing Error 1 2 3 4 5 6 7 8 9 10 11 12 Total Average My Estimated Bearing True Bearing Error 1 2 3 4 5 6 7 8 9 10 11 12 Total Average Worksheet 2 (Radar) 20-Sep-18 Created by Mr. Lafferty Maths Dept.

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