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Scaled Drawings

Scaled Drawings. The Eight Point Compass. Estimating and Drawing Bearings. Working with Scale Drawings. More Scale Drawings. www.mathsrevision.com. Directions on Maps. Enlarging and Reducing. Similar Rectangles. Starter Questions. www.mathsrevision.com. 360/000 o. N.

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Scaled Drawings

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  1. Scaled Drawings The Eight Point Compass Estimating and Drawing Bearings Working with Scale Drawings More Scale Drawings www.mathsrevision.com Directions on Maps Enlarging and Reducing Similar Rectangles Created by Mr. Lafferty Maths Dept.

  2. Starter Questions www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  3. 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.

  4. 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 Frances and turns clockwise to face Amy. How many degrees is this. If Daniel is facing North and turns clockwise to face Anne. 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 Frances John Barry N Daniel Julie Anne www.mathsrevision.com Amy Gary Paul Created by Mr. Lafferty Maths Dept.

  5. Compass Points Now try Ex 2.1 Ch6 (page 88) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  6. Starter Questions www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  7. Bearings Learning Intention Success Criteria 1. Understand what bearing is. • 1. To explain what a bearing is and how to measure and draw a bearing. 2. Measure and draw a bearing. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  8. 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

  9. 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

  10. 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.

  11. Scaled Drawings using Bearings Draw a bearing of (a) 50o (b) 230o N N 50o www.mathsrevision.com 230o Created by Mr. Lafferty Maths Dept.

  12. 360/000o N 315o 045o NW NE 270o 090o W E SW SE 225o 135o S 180o Compass Points Created by Mr. Lafferty Maths Dept.

  13. Worksheet 2 (Radar)

  14. Bearings Now try Ex 3.1 Ch6 (page 90) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  15. Starter Questions www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  16. Scales Learning Intention Success Criteria • To understand the term scale. • 1. To explain the term scale on a map. 2. Calculate the real life distances using a scaled map. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  17. Scales In order to make sense of a map or scale diagram the scale must be known. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  18. Scales 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.

  19. Scales 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.

  20. Scales 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.

  21. Scales Now try Ex 4.1 Ch6 (page 92) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  22. Starter Questions www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  23. Scaled Drawings Learning Intention Success Criteria 1. From information given make a scaled drawing. • 1. To draw a scale drawing given suitable information. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  24. Scaled Drawings 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.

  25. Scaled Drawings Use a scale of 1cm represents 2m 1cm represents 2m 12m 12m 8m www.mathsrevision.com 8m Created by Mr. Lafferty Maths Dept.

  26. Scaled Drawings 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.

  27. Scaled Drawings 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.

  28. Scaled Drawings Now try Ex 5.1 Ch6 (page 94) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  29. Starter Questions www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  30. Scaled Drawings using Bearings Learning Intention Success Criteria 1. Construct an accurate scale drawing. • 1. To explain how to construct a scale drawing using bearings. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  31. Scaled Drawings using Bearings Make an accurate scale drawing of this sketch. N N 50o www.mathsrevision.com 50o 15km 15km 1cm represents 3km 1cm represents 3km Created by Mr. Lafferty Maths Dept.

  32. Scaled Drawings using Bearings Make an accurate drawing of the plane journey N N N N 120o 120o www.mathsrevision.com 45o 45o 8km 12km 12km 8km 1cm represents 2km 1cm represents 2km Created by Mr. Lafferty Maths Dept.

  33. Scaled Drawings using Bearings Now try Ex 6.1 Ch6 (page 61) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  34. Starter Questions www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  35. Map Directions Learning Intention Success Criteria 1. Be able to make sense of a map. • 1. To show how to write down directions using a map. 2. Write down accurate directions from a map. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  36. 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 N www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  37. Map Directions Now try Ex 7.1 Ch6 (page 97) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  38. Enlarging & Reducing Learning Intention Success Criteria 1. Be able to enlarge a shape by a factor of two. • 1. To explain how to enlarge or reduce a given shape by a factor of two or half. 2. Be able to reduce a shape by a factor of a half. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  39. Enlarging & Reducing These two photos are of the same view 3cm 1.5cm www.mathsrevision.com 2cm 4cm The second is double the size of the first. The first could be ENLARGED to make the second. Created by Mr. Lafferty Maths Dept.

  40. Enlarging & Reducing These two photos are of the same view 3cm 1.5cm www.mathsrevision.com 2cm 4cm The first is half the size of the second. The second could be REDUCED to make the first. Created by Mr. Lafferty Maths Dept.

  41. Double the size of the shape. Enlarging & Reducing Half the size of the shape. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  42. Enlarging & Reducing Now try Ex 8.1 Ch6 (page 99) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  43. Starter Questions www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  44. Similar Rectangles Learning Intention Success Criteria 1. Understand the words similar and factor. • 1. To explain the meaning of the word ‘similar’ and ‘factor’ in mathematics. Enlarge and reduce similar rectangles by a given factor. 2. Be able to enlarge / reduce a rectangle by a given factor . www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  45. Similar Rectangles These two rectangles are similar. 4cm 2cm 4cm 8cm www.mathsrevision.com The first has been ENLARGED by a factor of 2 Created by Mr. Lafferty Maths Dept.

  46. Find the missing length ? cm Similar Rectangles Find the enlargement factor These two rectangles are similar. ?cm 2cm 4cm 12cm www.mathsrevision.com The first has been ENLARGED by a factor of 3 ? = 2 x 3 = 6cm Created by Mr. Lafferty Maths Dept.

  47. Find the missing length ? cm Similar Rectangles Find the reduction factor These two rectangles are similar. 8cm ?cm 4cm www.mathsrevision.com 16cm The first has been ENLARGED by a factor of 4 ? = 8 ÷ 4 = 2cm Created by Mr. Lafferty Maths Dept.

  48. Similar Rectangles Now try Ex 9.1 Ch6 (page 100) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

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