Bearings Learning Intention 1 To solve reallife problems
Bearings Learning Intention 1. To solve real-life problems using scale drawings. Success Criteria 1. Interpret information in a problem to create a suitable scale drawing. 2. Use a scale drawing to solve a given problem.
Scale Drawings & Bearings Problem The sketch shows a flag-pole YT supported by a wire. The distance from X to Y is 6 m and o angle TXY = 55. T Make a scale drawing and work Out the real height of the pole. Use a scale of 1 cm = 2 m X 55 o 6 m Y
T Scale Drawings & Bearings X 55 o Y 6 m Solution Using a scale of 1 cm = 2 m Step 1: Draw line XY=3 cm T Step 2: Draw a line straight up from Y. o Step 3: Measure angle 55 from X. Step 4: Draw line from X to vertical line and mark T at crossover point. Step 5: Measure length YT. Step 6: Multiply length YT. by scale factor. 4. 3 cm 4. 3 x 2 = 8. 6 m Flag pole is 8. 6 m high X Y
Directions & Scale Drawings Learning Intention 1. To show to write down directions using a map. 2. To explain how to construct a scale drawing using bearings. Success Criteria 1. Be able to make sense of a map. 2. Write down accurate directions from a map. 3. Construct and interpret an accurate scale drawing.
Compass Points 360/000 o Half way between North and West 270 o N NW NE W E SW Half way between South and West 18 -Oct-21 Half way between North and East 090 o SE S 180 o Created by Mr. Lafferty Maths Dept. Half way between South and East
Compass Points If walks to John then to Barry Anne walks to Julie then toturns Amy If If. Gary Daniel Amy Daniel is is is facing Paul Frances North and turns anti. Who is South West Who is North East Who isis North ofhe Daniel Who East of John and then back to where started. and then back to where she started. clockwise to toface Anne. Daniel. Amy. How many of of Barry Gary How Write downdegrees all the directions he took. Write all took. degrees is is this. she John Frances Barry N Julie Daniel Anne Gary Amy Paul Created by Mr. Lafferty Maths Dept.
After going to the park I want to go to the I come out of the swimming pool and turn II leave theout zoo gocinema. back toshop my car come ofto the charity andwhich is There’s a fire at the library. Right down Iright comethen out of school tobuilding the Park. left. I go and intogo the second in the town. Tea car park. down Lane is. Write closed. need to catch a bus. Write down thethe directions fire engine should take. Write down thethe I must take. ondirections my the right. directions I bus should take. Write the station. directions todown the Name the building. I should take. Map Directions N 18 -Oct-21 Created by Mr. Lafferty Maths Dept.
Scale Drawings & Bearings Learning Intention 1. To understand how to work out a bearing. Practical uses for bearings. Success Criteria 1. Work out a bearing. 2. Give a bearing in the correct format (three figure reference).
Bearings 360/000 o N 1. Measured from North. 2. In a clockwise direction. 060 o 270 o 60 o W 090 o E 3. Written as 3 figures. S 180 o N W 145 o S N N E 145 o W 230 o S 315 o E W 315 o S E
A 360 o protractor is used to measure bearings. 315 o Bearings Use your protractor to measure the bearing of each point from the centre of the circle. 360/000 o 350 o N 020 o NW (Worksheet 1) 045 o NE 290 o 270 o 080 o W E 250 o 110 o SW 225 o Worksheet 1 SE 210 o S 180 o 160 o 135 o 090 o
N 360/000 o 030 o 330 o 045 o 315 o 290 o 075 o 090 o E W 270 o Control Tower 110 o 250 o 135 o 225 o 170 o 200 o 18 -Oct-21 Estimate the bearing of each aircraft from the centre of the radar screen. 180 o S Air Traffic Controller
N 360/000 o 7 325 o 010 o 8 310 o 040 o 1 ACE 060 o Controller contest 4 280 o 11 12 2 Estimate the bearing of each aircraft from the centre of the radar screen. 090 o E W 270 o 3 Control Tower 250 o 235 o 9 120 o 6 195 o 18 -Oct-21 5 10 180 o S 155 o Worksheet 2 Air Traffic Controller
Bearings Measuring the bearing of one point from another. N To Find the bearing of Q from P. P 1. Draw a straight line between both points. 118 o Q 2. Draw a North line at P. 3. Measure angle between. Worksheet 3
Bearings Measuring the bearing of one point from another. To Find the bearing of P from Q. N 298 o P 1. Draw a straight line between both points. Q 2. Draw a North line at Q. 3. Measure angle between. Worksheet 3
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 170 o 255 o Thankyou Airfield (B) 306. 7 MHZ UHF
Bearings 000/360 o N 270 o W E S Worksheet 1 180 o 090 o
Bearings 360/000 o N 1. Measured from North. 2. In a clockwise direction. 060 o 270 o 60 o W 090 o E 3. Written as 3 figures. S 180 o N N N 315 o W 145 o S E 145 o W 230 o E W 315 o 230 o S S E
Scales & Drawing Bearings Example The bearing from A to B is 70 o. What is the bearing from B to A. North 70 o A B Bearing from B to A is : 70 o + 180 o = 250 o
Scales & Drawing Bearings Example The bearing from X to Y is 30 o. What is the bearing from Y to X. Bearing from Y to X is : 30 o + 180 o = 210 o North 30 o Y 30 o X
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