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Bearings.ppt It will help to learn the topic Bearings.
- 1. We are learningto: - Finding connections between different words. (Which PLT skills?) -Accurately find bearings for practical problems. (Grades D-C) Always aim high! LESSON OBJECTIVES Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? AUTHOR Where are we in our journey? Real life cross/curricular links? www.mistrymaths.co.uk
- 2. BRAIN IN GEAR Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner Whichones are you using? PLT Skills Work out the following Mathematical anagrams: TASK EXTENSION Develop your own Mathematical anagrams as above as a creative thinker. EARPALLL RREPECNDPIULA TERVEX EXAMPLE DITDIONA can be rearranged to make ADDITION Parallel Perpendicular Vertex
- 3. STARTER Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner Which ones areyou using? PLT Skills EXTENSION TASK Work out the missing angles and give reasons why. (a) (b) (c) (d) x° 30° y° 72° z° 80° 50° 30° a° b° c° d° e° 76° 76° x° y° (a) (b) 46° f° 34° g° x = 30° (Alternate angles are equal) y = 72° (Corresponding angles are equal) z = 100° (Interior angles sum to 180°) a = 100°(Angles on a straight sum to 180°) b = 130° (Interior angles sum to 180°) c = 50° (Angles on a straight sum to 180°) d = 30° (Angles in a triangle sum to 180°) e = 150°(Angles on a straight sum to 180°/Interior angles) x = 76° Work out the missing angles below: y = 104° f = 46° y = 100°
- 4. Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Whichones are you using? BEARINGS BEARINGS USE IN THE REAL WORLD VIDEO http://www.bbc.co.uk/learningzone/clips/navigation-using-bearings/1267.html
- 5. Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Whichones are you using? BEARINGS INTRODUCTION ANGLE MEASURED FROM THE NORTH LINE (North line must be on zero degrees on a protractor) MEASURED IN A CLOCKWISE DIRECTION MUST BE WRITTEN AS THREE FIGURES BEARINGS N Find the bearing of B from A B A 054° N D E 136° N Find the bearing of E from D N Find the bearing of H from G AND the bearing of G from H G H 069° 180° 068° 248°
- 6. Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Whichones are you using? BEARINGS A is due North of B. The bearing of C from A is 115°.The bearing of C from B is 075°. Mark the position of C on the diagram. (Total 3 marks) TASK C
- 7. N A B Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Whichones are you using? BEARINGS (a) Measure the bearing of B from A. (1 mark) TASK (b) Point C is South-West of A and West of B. Mark the position of C on the diagram.(2 marks) N 137° N C
- 8. Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Whichones are you using? BEARINGS TASK The map of an island is shown. P and Q are the positions of two houses on the island. (a) What is the bearing of P from Q? (b) Calculate the actual distance from P to Q in kilometres. (c) A house is 20 km from P on a bearing of 130°. Mark the position of the house on the diagram with an X. N orth P Scale 1 cm to 5 km Q N orth 180° 113° 293° 293° 9cm 45km 4cm 20km (Total 5 marks)
- 9. Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Whichones are you using? BEARINGS TASK The diagram shows a scale drawing of two points, A and B, on an orienteering course. (a) Use the diagram to work out the actual distance from A to B. (b) Measure and write down the three-figure bearing of B from A. (c) The bearing of point C from A is 300°. What is the three-figure bearing of A from C? (Total 5 marks) A B N Scale: 1 cm represents 50 m 6cm 300m 050° 050° 180° N 120° 300° C 120° 120°
- 10. N orth Southport Lancaster M anchester North Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? BEARINGS TASK The map shows the positions of three places. Scale: 1cm represents 4 miles (a) What is the bearing of Lancaster from Southport? (b) What is the bearing of Manchester from Lancaster? (c) Work out the distance in miles from Manchester to Southport. (Total 5 marks) 030° 030° 153° 153° 10cm 40miles
- 11. DISCOVERY Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner Which ones areyou using? PLT Skills LINK BACK TO OBJECTIVES - Accurately find bearings for practical problems. What grade are we working at?
- 12. PLENARY ACTIVITY FUNCTIONAL MATHSSTYLE QUESTION Acorn Bay (A), Batside (B) and Cougartown (C) are three villages. The villages lie on the vertices of a square. The bearing of B from A is 030°. Work out the bearing from Acorn Bay from Cougartown N 30° 45° N 105° Interior angles (C shape) add up to 180° Angle made by a diagonal line in a square equals 45° 255° Angles around a point sum to 360° ANSWER = 255°
- 13. Draw your brain Whathave you learnt? In your brain, write or draw everything you can remember about finding bearings. It can be a skill or a reflection, or something else that might be prominent in your brain. What grade are we working at? Where are we in our journey?
- 14. . How well doyou understand the task? I don’t understand I nearly understand I fully understand Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? SELF ASSESSMENT Plenary Activity www.mistrymaths.co.uk
- 15. SELF ASSESSMENT Plenary Activity Onyour post it notes… Think about how you can improve your work. WWW (What Went Well) EBI (Even Better If) Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? www.mistrymaths.co.uk