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Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker 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) Where are we in our journey? AUTHOR www. mistrymaths. co. uk Real life cross/curricular links?

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

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

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

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

Creative Thinker PLT Skills Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Creative Thinker PLT Skills Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you using? 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)

Creative Thinker PLT Skills Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Creative Thinker PLT Skills Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you using? BEARINGS TASK (a) Measure the bearing of B from A. (1 mark) (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°

Creative Thinker PLT Skills Effective Participator Independent Enquirer Reflective Learner BEARINGS Self Manager Team Creative Thinker PLT Skills Effective Participator Independent Enquirer Reflective Learner BEARINGS Self Manager Team Worker Which ones are you using? 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° (b) Calculate the actual distance from P to Q in kilometres. 9 cm (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. 4 cm 45 km 20 km (Total 5 marks)

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

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

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

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

What have you learnt? Draw your brain In your brain, write or draw everything 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. Where are we in our journey? What grade are we working at?

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

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills SELF ASSESSMENT 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