Enhancing Mathematical Learning Skills: Exploring Angles in Parallel Lines

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 identify and find alternate and corresponding angles. (Level 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: Parallel Acute Obtuse 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 Work out the missing angles below: 4) 3) 160° 85° 1) 2) c 110° 145° 110° 135° f 20° 20° b d 35° 85° i 80° 115° Vertically opposite angles are equal Angles around point add to 360° Angles on a straight line add to 180° Angles in a quadrilateral add to 360° Angles on a straight line add to 180° EXTENSION Work out the missing angles below: 2) 1) Angles in a triangle add to 180° 82° Vertically opposite angles are equal k 30° 144° Angles on a straight line add to 180° 103° Angles in a quadrilateral add to 360° 77° g h 44° j 73° 90° 44°

5. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker INTRODUCTION Enterprise Skills Which ones are you using? Lines which are an equal distance apart and never meet. Arrows move in the same direction. Parallel Lines This line is called a transversal These lines are parallel

6. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker INTRODUCTION Enterprise Skills Which ones are you using? TASK – INVESTIGATION In groups, discuss and find connections between the different angles below as positive thinkers and creative entrepreneurs. Apart from vertically opposite angles being equal, angles on a straight line adding to 180° and angles around a point adding to 360°, you also need to learn that alternate angles are the same and corresponding angles are the same a b c d c = f because of alternate angles (Z-shaped) d = e because of alternate angles (Z-shaped) e f g h

7. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker INTRODUCTION Enterprise Skills Which ones are you using? TASK – INVESTIGATION In groups, discuss and find connections between the different angles below as positive thinkers and creative entrepreneurs. a b c d c = g because of corresponding angles (F-shaped) d = h because of corresponding angles (F-shaped) e f g h

8. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker INTRODUCTION Enterprise Skills Which ones are you using? TASK – INVESTIGATION In groups, discuss and find connections between the different angles below as positive thinkers and creative entrepreneurs. a b c d a = e because of corresponding angles (F-shaped) b = f because of corresponding angles (F-shaped) e f g h

9. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills PARALLEL LINES AND ANGLES ALTERNATE ANGLES (Z – shaped) SAME SAME SAME SAME

10. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills PARALLEL LINES AND ANGLES CORRESPONDING ANGLES (F – shaped) SAME SAME

11. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills PARALLEL LINES AND ANGLES ALTERNATE CORRESPONDING EXAMPLES Calculate the missing angles and give reasons why. 38º (c) (b) (a) a h f g b 142º 60º d 30º c e c = a = 60º 30º f = 38º (Corresponding angles) (Alternate angles) (Alternate angles) 150º d = 120º b = g = 38º (Angles on a straight line) (Angles on a straight line) (Angles on a straight line) e = 150º h = 104º (Vertically opposite angles) (Angles in a triangle)

12. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills PARALLEL LINES AND ANGLES TASK 1 (LEVEL 6) 1) Work out the size of the lettered angles and give reasons why. Corresponding Angles Alternate Angles Alternate Angles (a) (b) (c) 125° 160° 70° Corresponding Angles Corresponding Angles Alternate Angles (e) (f) 48° (d) 75° 57°

13. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills PARALLEL LINES AND ANGLES TASK 2 (LEVEL 6) Calculate the missing angles and state reasons why. 4) 1) 2) 3) 47º d 50º a 70º 120º 120º 130º 47º c b 70º 68º 37º h m 8) 5) 6) 7) 143º l 42º 69º j e 68º k 37º 37º f 138º 42º i g 112º 111º 111º 12) 9) 10) 11) o 134º 105º s v r p 46º z 30º 147º 30º 75º 147º q u t 105º 150º w y 134º 147º 134º 147º 150º x 30º

14. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills PARALLEL LINES AND ANGLES EXTENSION (LEVEL 6) Work out the size of the lettered angles 3) 1) 2) 115º 90º 65º 42º 85º 115º 75º 65º 5) 4) 147º 33º 118º 118º 98º 83º 98º 35º

15. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills Which ones are you using? PARALLEL LINES AND ANGLES MINI-PLENARY ACTIVITY SIT DOWN → FALSE STAND UP → TRUE 43° REASON Corresponding angles are equal 43°

16. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills Which ones are you using? PARALLEL LINES AND ANGLES MINI-PLENARY ACTIVITY SIT DOWN → FALSE STAND UP → TRUE 123° REASON Corresponding angles are equal 123°

17. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills Which ones are you using? PARALLEL LINES AND ANGLES MINI-PLENARY ACTIVITY SIT DOWN → FALSE STAND UP → TRUE 135° REASON Alternate angles are equal 135°

18. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills Which ones are you using? PARALLEL LINES AND ANGLES MINI-PLENARY ACTIVITY SIT DOWN → FALSE STAND UP → TRUE 135° REASON Corresponding angles 45° Interior angles (C – shaped) add up to 180°

19. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker • LINK BACK TO OBJECTIVES • Accurately identify and find alternate and corresponding angles. What level are we working at? DISCOVERY Enterprise Skills Which ones are you using?

20. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PARALLEL LINES AND ANGLES PLENARY ACTIVITY - BOYS VERSUS GIRLS BALL PIT RACE Find the correct answer in the ball pit. Whomever finds the answer ball first wins a point for their team. BOYS BALL PIT GIRLS BALL PIT 56°

21. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PARALLEL LINES AND ANGLES PLENARY ACTIVITY - BOYS VERSUS GIRLS BALL PIT RACE Find the correct answer in the ball pit. Whomever finds the answer ball first wins a point for their team. BOYS BALL PIT GIRLS BALL PIT 100°

22. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PARALLEL LINES AND ANGLES PLENARY ACTIVITY - BOYS VERSUS GIRLS BALL PIT RACE Find the correct answer in the ball pit. Whomever finds the answer ball first wins a point for their team. BOYS BALL PIT GIRLS BALL PIT 91°

23. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PARALLEL LINES AND ANGLES PLENARY ACTIVITY - BOYS VERSUS GIRLS BALL PIT RACE Find the correct answer in the ball pit. Whomever finds the answer ball first wins a point for their team. BOYS BALL PIT GIRLS BALL PIT 72°

24. 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 finding alternate and corresponding angles. It can be a skill or a reflection, or something else that might be prominent in your brain.

25. 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

26. 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