GCSE Mathematics Targeting Grade C Shape and Space Unit 5 Bearings.

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Presentation transcript:

GCSE Mathematics Targeting Grade C Shape and Space Unit 5 Bearings

Can you… If not you need Name the bearing of X from Y Work out simple bearings Use bearings to locate a position Try a test TOP X from Y, Y from X Practice 1: Simple Bearings Practice 2: Locating a point TAIL If not you need

Remember Bearings are always measured from the North line TOP Remember Bearings are always measured from the North line They are always measured in a clockwise direction They must have 3 digits What is the bearing of Y from X? What is the bearing of X from Y? Lesson

Practice 1: Simple Bearings 1. Work out the bearing of (i) B from P, (i) P from A, Next

2. Lesson Measure and write down the bearing of B from A. On the diagram, draw a line on a bearing of 107° from A. Lesson

Practice 2: 1. The diagram shows the position of Colwyn Bay and the position of Blackpool. The bearing of a ship from Colwyn Bay is 032°. The bearing of the ship from Blackpool is 290°. Draw an accurate diagram to show the position of the ship. Mark this position with a cross Label is S. Next

2. Lesson A map is drawn to a scale of 1:25 000 Two schools A and B are 12 centimetres apart on the map. Work out the actual distance from A to B. Give your answer in kilometres. 2. B is due East of A. C is another school. The bearing of C from A is 064°. The bearing of C from B is 312°. (b)Complete the scale drawing Mark, with a cross (´), the position of the school C. Measure and write down the bearing of B from A. On the diagram, draw a line on a bearing of 107° from A. Lesson

TAIL Are you ready for the answers ? 1. (a) 90 km b) 317 Next This is a map of part of Northern England. 1. A plane flies in a straight line from Preston to Stoke-on-Trent. How far does it fly? Give your answer in kilometres. (a) 90 km (b) Measure and write down the bearing of Preston from Manchester. b) 317 Scale: 1 cm represents 10 km Next

TAIL Are you ready for the answers ? 2. Lesson 360 – 90 – 108 = 162 72° + 9° = 81° So the bearing is 081 The diagram shows the position of each of three buildings in a town. The bearing of the Hospital from the Art gallery is 072°. The Cinema is due East of the Hospital. The distance from the Hospital to the Art gallery is equal to the distance from the Hospital to the Cinema. Work out the bearing of the Cinema from the Art gallery. Lesson