Which ones are you using?

1. Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Real life cross/curricular links? Where are we in our journey? Which ones are you using? PLT Skills LESSON OBJECTIVES Always aim high! We are learning to: • Finding connections between different words. (Which PLT skills?) • Accurately find bearings for practical problems. (Grades D-C) AUTHOR www.mistrymaths.co.uk

2. Which ones are you using? BRAIN IN GEAR Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills EXAMPLE DITDIONA can be rearranged to make ADDITION TASK Work out the following Mathematical anagrams: Parallel Perpendicular Vertex EXTENSION Develop your own Mathematical anagrams as above as a creative thinker.

3. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager STARTER PLT Skills TASK Work out the missing angles and give reasons why. (a) (b) (c) (d) 30° y° 80° 50° 30° a° x° z° e° c° d° b° 72° z = 100° x = 30° (Interior angles sum to 180°) (Alternate angles are equal) a = 100° (Angles on a straight sum to 180°) y = 72° (Corresponding angles are equal) b = 130° (Interior angles sum to 180°) EXTENSION c = 50° (Angles on a straight sum to 180°) Work out the missing angles below: d = 30° (Angles in a triangle sum to 180°) (a) (b) e = 150° (Angles on a straight sum to 180°/Interior angles) 76° 46° f° x= 76° x° 34° g° y= 104° 76° f= 46° y° y= 100°

4. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills BEARINGS BEARINGS USE IN THE REAL WORLD VIDEO http://www.bbc.co.uk/learningzone/clips/navigation-using-bearings/1267.html

5. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills BEARINGS INTRODUCTION BEARINGS 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 Find the bearing of B from A Find the bearing of E from D Find the bearing of H from G AND the bearing of G from H 054° N N N N B D 069° A 180° H 068° G 248° E 136°

6. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills BEARINGS TASK 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. C (Total 3 marks)

7. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills BEARINGS TASK (1 mark) (a)Measure the bearing of B from A. (b) Point C is South-West of A and West of B. Mark the position of C on the diagram. (2 marks) N N C 137°

8. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills BEARINGS TASK The map of an island is shown. 180° 113° 293° P and Q are the positions of two houses on the island. (a) What is the bearing of P from Q? 293° 9cm (b) Calculate the actual distance from P to Q in kilometres. 45km (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. 4cm 20km (Total 5 marks)

9. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills BEARINGS TASK The diagram shows a scale drawing of two points, A and B, on an orienteering course. N 120° C 050° (Total 5 marks) 120° 180° (a) Use the diagram to work out the actual distance from A to B. 6cm 300m 300° (b) Measure and write down the three-figure bearing of B from A. 050° (c) The bearing of point C from A is 300°. What is the three-figure bearing of A from C? 120°

10. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills BEARINGS TASK The map shows the positions of three places. Scale: 1cm represents 4 miles (a) What is the bearing of Lancaster from Southport? 030° (b) What is the bearing of Manchester from Lancaster? 153° 153° (c) Work out the distance in miles from Manchester to Southport. 10cm 40miles 030° (Total 5 marks)

11. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager • LINK BACK TO OBJECTIVES • Accurately find bearings for practical problems. What grade are we working at? DISCOVERY PLT Skills

12. PLENARY ACTIVITY FUNCTIONAL MATHS STYLE 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°. N N 105° 30° Angle made by a diagonal line in a square equals 45° Angles around a point sum to 360° Interior angles (C shape) add up to 180° 45° 255° Work out the bearing from Acorn Bay from Cougartown ANSWER = 255°

13. What grade are we working at? Where are we in our journey? What have you learnt? Draw your brain 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.

14. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen SELF ASSESSMENT Enterprise Skills Which ones are you using? Plenary Activity How well do you understand the task? . I fully understand I don’t understand I nearly understand www.mistrymaths.co.uk

15. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen SELF ASSESSMENT Enterprise Skills Which ones are you using? Plenary Activity WWW (What Went Well) EBI (Even Better If) On your post it notes… Think about how you can improve your work. www.mistrymaths.co.uk