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 20 -Sep-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
Gary walks to John If Anne Julie If If Daniel Amy If Daniel isisfacing is facing Paul North and then to Barry and then to is Amy and West then Who South Who is North East and turns Frances turns anti-clockwise and of turns to to Who is North of Daniel Who is East John back to to where he back where she of Barry ofto Gary clockwise face Anne. Daniel. How facemany Amy. started. Write down all How degrees many degrees isisthis. is this. the directions she he took. the took. Compass Points John Frances Barry N Julie Daniel Anne Gary Amy Paul Created by Mr. Lafferty Maths Dept.
After going toof the park I want I Icome outout of the swimming leave out theof zoo to goand back to II come school There’s fire at the library. toashop go to the cinema. charity pool and turn and right need then to left. my car which is in the town go to the Park. Right the directions Tea Lane is closed. catch I go into adown bus. the Write building down second car. Write park. down Writethe down the. Write fireonengine should take. down the directions my the to the right. bus directions I should take. directions I must take. I should take. Name station. the building. Map Directions N 20 -Sep-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 20 -Sep-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 20 -Sep-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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