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Which ones are you using?

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:

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Which ones are you using?

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  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 missing angles in polygons. (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: Polygon Edges Vertices 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 1) 4) 2) 3) 30° 50° 20° 45° Find the value of each angle - 160° 180° 20° - - - - 45° 30° 50° 90° 180° 180° 60° 85° 60° 160° 2 80° EXTENSION Work out the following without a calculator: 180 x 3 1) 4) 2) 3) 180 x 6 180 x 8 180 x 5 Equilateral Isosceles = 540 = 1440 = 900 = 1080

  4. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills ANGLES IN POLYGONS INTRODUCTION POLYGONS NON-POLYGONS QUESTION WHAT IS A POLYGON?

  5. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills ANGLES IN POLYGONS INTRODUCTION 1080° 1260° 1800° 1620° 900° 1440° 7 x 180° 6 x 180° 5 x 180° 10 x 180° 9 x 180° 8 x 180° What is the connection? x (number of sides – 2) 180° Sum of interior angles = Always two less triangles than sides Sum of angles in a triangle

  6. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills ANGLES IN POLYGONS EXAMPLES 1) 2) 95° 120° 155° 95° 110° 120° 80° 105° Sum of interior angles = Sum of interior angles = (number of sides – 2) (number of sides – 2) x x 180° 180° ( 5 – 2 ) x ( 6 – 2 ) x Sum of interior angles = Sum of interior angles = 180° 180° Sum of interior angles = Sum of interior angles = x x 3 180° 4 180° Sum of interior angles = Sum of interior angles = 540° 720° LEARN OFF BY HEART - - - - - - - - - 120° 90° 155° 120° 110° 95° 80° 95° 105° Pentagon (5 sides) Hexagon (6 sides)

  7. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills ANGLES IN POLYGONS TASK (GRADE D) 4) 3) 1) 2) 110° 245° 100° 60° 5) 7) 8) 6) 275° 30° 85° 145° 9) 10) 12) 11) 135° 280° 50° 85°

  8. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills ANGLES IN POLYGONS EXTENSION (GRADE C) Which regular polygons have: a) a total sum of 2340° b) a total sum of 5400° c) a total sum of 17820° d) interior angles of 156° e) interior angles of 150° f) interior angles of 170° 101 sides 32 sides 15 sides 15 sides 36 sides 12 sides

  9. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills ANGLES IN POLYGONS MINI-PLENARY Why is this building famous in America? What is the value of each interior angle? Sum of interior angles = (number of sides – 2) x 180° PENTAGON ( 5 – 2 ) x Sum of interior angles = 180° United States Defence Headquarters Sum of interior angles = x 3 180° Sum of interior angles = 540° 540° Each interior angle = 5 Each interior angle = 108°

  10. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager • LINK BACK TO OBJECTIVES • Accurately find missing angles in polygons. What grade are we working at? DISCOVERY PLT Skills

  11. PLENARY ACTIVITY 2x 2x 140° 140° 3x + 5 3x + 5 3x 3x 75° 75° EXAM QUESTION (GRADE C) Sum of interior = (n – 2) × 180 = (5 – 2) × 180 = 3 × 180 = 540° 2x + 3x + 5 + 3x + 75 + 140 = 540° 8x + 220 = 540° 8x = 320° x = 40° Calculate the value of x

  12. 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 missing angles in polygons. It can be a skill or a reflection, or something else that might be prominent in your brain.

  13. 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

  14. 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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