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Enhancing Mathematical Learning Skills

In this lesson, students will enhance their mathematical learning skills by accurately learning angle facts and calculating missing angles. They will also develop enterprise skills such as creativity, independence, and reflection.

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Enhancing Mathematical Learning Skills

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  1. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Real life cross/curricular links? Where are we in our journey? Which ones are you using? Enterprise Skills LESSON OBJECTIVES Always aim high! We are learning to: • Enhance our Mathematical learning skills. (Which Enterprise skills?) • Accurately learn angle facts and calculate missing angles. (Levels 5-6) AUTHOR www.mistrymaths.co.uk

  2. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker LEARNING JOURNEY Enterprise Skills Which ones are you using?

  3. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker BRAIN IN GEAR Enterprise Skills Which ones are you using? EXAMPLE DITDIONA can be rearranged to make ADDITION TASK Work out the following Mathematical anagrams: Isosceles Equilateral Quadrilateral EXTENSION Develop your own Mathematical anagrams as above as a creative entrepreneur.

  4. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker STARTER Enterprise Skills Which ones are you using? TASK EXTENSION 2 2 3 1) 1) 2 5 7 Work out: Find the HCF of: 8 and 20 (b) (a) (c) = 5 x 5 = 7 x 7 = 2 x 2 x 2 8 → 1, 2, 4, 8 = 25 = 49 = 8 20 → 1, 2, 4, 5, 10, 20 HCF = 4 (e) (d) (f) = 4 & -4 = 9 & -9 = 2 2) Find the LCM of: 4 and 6 2) 9 x -3 8 - - 4 -5 x -4 (b) (c) (a) 4 → 4, 8, 12, 16, … = 20 = 8 + 4 = -27 6 → 6, 12, 18, 24 … = 12 LCM = 12 -7 + 5 -6 - 3 (d) (e) = -2 = -9

  5. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker ANGLE FACTS Enterprise Skills Which ones are you using?

  6. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker ANGLES Enterprise Skills Which ones are you using? EXAMPLES Work out the missing angles below: 150° 2) 4) 3) 1) 120° c 130° 60° 30° 30° b d 50° 90° 30° e a 120° Vertically opposite angles are equal Vertically opposite angles are equal Angles on a straight line add to 180° Angles on a straight line add to 180° Angles on a straight line add to 180° 5) 6) 7) 8) 97° 75° 130° k 121° 110° 130° 40° f 102° 70° i 78° 52° g h j 85° 90° 62° 120° 52° Angles around point add to 360° Angles in a triangle add to 180° Angles in a quadrilateral add to 360° Vertically opposite angles are equal Angles on a straight line add to 180° Angles in a quadrilateral add to 360°

  7. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker ANGLES Enterprise Skills Which ones are you using? TASK 1 (LEVELS 5-6) Vertically Opposite Angles (Equal) 37° 120° 45° 25° 135° 40° 120° 145° 50° 140° 35° 115° 60° 130° 65°

  8. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker ANGLES Enterprise Skills Which ones are you using? TASK 2 (LEVELS 5-6) Angles on a straight line (180°) 150° 130° 40° 50° 65° 152° 145° 75° 115° 133° 108° 117° 54° 83° 22°

  9. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker ANGLES Enterprise Skills Which ones are you using? TASK 3 (LEVELS 5-6) Angles around a point (360°) 153° 62° 133° 134° 53° 95° 37° 52° 12° 32° 44° 73° 38° 81° 35° 66° 75° 99° 95°

  10. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker ANGLES Enterprise Skills Which ones are you using? TASK 4 (LEVELS 5-6) Angles in a triangle (180°) 125° 65° 42° 40° 63° 40° 74° 140° 65° 48° 101° 42° 47° 78° 23° 133° 128° 76° 79° 74° 135° 135° 164° 83° 83° 74° 164° 61° 81° 69°

  11. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker ANGLES Enterprise Skills Which ones are you using? TASK 5 (LEVELS 5-6) Angles in a quadrilateral (360°) 115° 58° 111° 70° 103° 69° 111° 54° 126° 144° 121° 43° 131° 52° 144° 79° 77° 101° 113° 47° 86° 82° 86° 102° 75° 67° 94° 138° 116° 113° 86° 52° 64° 62° 85°

  12. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker ANGLES Enterprise Skills Which ones are you using? EXTENSION (LEVEL 6) 2) 3) 4) 1) 5) 52° 116° 144° 60° 64° 18° 40° 60° 36° 60° 100° 104° 116° 116° 86° 162° 80° 120° 120° 85° 46° 54° 88°

  13. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker ANGLES Enterprise Skills Which ones are you using? TREASURE HUNT CONSOLIDATION (LEVELS 5-6) Print slides 14-24 below and stick across the classroom wall for students to answer as team workers.

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  25. MINI-PLENARY - CATCHPHRASE

  26. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker • LINK BACK TO OBJECTIVES • Accurately learn angle facts and calculate missing angles. What level are we working at? DISCOVERY Enterprise Skills Which ones are you using?

  27. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker ANGLES Enterprise Skills Which ones are you using? PLENARY ACTIVITY How would you go about working out the missing angles below? Angles on a straight line add to 180° 52° 35° 93° a 35° 52° b c Alternate angles (Z –shaped) are equal Alternate angles (Z –shaped) are equal

  28. What level 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 angle facts and finding missing angles. It can be a skill or a reflection, or something else that might be prominent in your brain.

  29. 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

  30. 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

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