1. Learning Intention Success Criteria 1. To solve real-life problems using scale drawings. 1. Interpret information in a problem to create a suitable scale drawing. 2. Use a scale drawing to solve a given problem. Bearings

2. 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

3. 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

4. Learning Intention Success Criteria 1.To show how to write down directions using a map. 2. To explain 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.

5. 18-Feb-16 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

6. 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. Created by Mr. Lafferty Maths Dept. 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.

7. 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. 18-Feb-16Created by Mr. Lafferty Maths Dept. N

8. Learning Intention Success Criteria 1. To understand how to work out a bearing. Practical uses for bearings. 1. Work out a bearing. 2. Give a bearing in the correct format (three figure reference). Scale Drawings & Bearings

9. 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

10. 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

11. 18-Feb-16 360/000 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

12. 18-Feb-16 360/000 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

13. 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

14. 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

15. 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

16. Bearings N S E W 090 o 000/360 o 270 o 180 o Worksheet 1

17. 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

18. The bearing from A to B is 70 o. What is the bearing from B to A. Example Scales & Drawing Bearings 70 o North A B 70 o 70 o + 180 o = 250 o Bearing from B to A is :

19. The bearing from X to Y is 30 o. What is the bearing from Y to X. Example Scales & Drawing Bearings 30 o North X Y 30 o 30 o + 180 o = 210 o Bearing from Y to X is :