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Scaled Drawings

MTH 2-17c MTH 2-17d MTH 3-17b . Scaled Drawings. Working with Scales. Making Simple Scale Drawings. Harder Scale Drawings. www.mathsrevision.com. Compass Points. Bearings. MTH 2-17c MTH 2-17d MTH 3-17b . Starter Questions. www.mathsrevision.com. Scale Drawings & Bearings.

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Scaled Drawings

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

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

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

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

  5. 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 www.mathsrevision.com 4 cm This means for every 1 metre of the actual car, 1cm is drawn on the map. Created by Mr. Lafferty Maths Dept.

  6. Scales 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 ? www.mathsrevision.com 30m 6 x 5 = Created by Mr. Lafferty Maths Dept.

  7. Scales 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 ? www.mathsrevision.com 5cm 450cm 5 x 90 = 4.5m Created by Mr. Lafferty Maths Dept.

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

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

  11. Scaled Drawings 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 www.mathsrevision.com 8m Created by Mr. Lafferty Maths Dept.

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

  13. Scaled Drawings 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 garden Use a scale of 1cm represents 2m www.mathsrevision.com 20m 12m Created by Mr. Lafferty Maths Dept.

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

  16. MTH 2-17c MTH 2-17d MTH 3-17b Starter Questions www.mathsrevision.com 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. www.mathsrevision.com 2. Apply a scale drawing methods to solve a given problem. Created by Mr. Lafferty Maths Dept.

  18. T X Y 55o 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. www.mathsrevision.com Make a scale drawing and work Out the real height of the pole. Use a scale of 1cm = 2m 6m Created by Mr. Lafferty Maths Dept.

  19. T X Y 55o 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. www.mathsrevision.com 4.3cm Step 5: Measure length YT. Step 6: Multiply length YT. by scale factor. 4.3 x 2 = 8.6m X Y Flag pole is 8.6m high Created by Mr. Lafferty Maths Dept.

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

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

  23. 360/000o N Half way between North and West Half way between North and East NW NE 270o 090o W E SW SE Half way between South and West Half way between South and East S 180o Compass Points Created by Mr. Lafferty Maths Dept.

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

  25. 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. 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. 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 www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

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

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

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

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

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

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

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

  34. Bearings Measuring the bearing of one point from another. To Find the bearing of P from Q. N P Q 298o 1.Draw a straight line between both points. 2.Draw a North line at Q. 3.Measure angle between. Worksheet 3 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 170o 255o Airfield (B) 306.7 MHZ UHF Thankyou Created by Mr. Lafferty Maths Dept.

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

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

  38. Worksheet 2 (Radar) Created by Mr. Lafferty Maths Dept.

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