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Parallel Lines and Angles: Exploring Connections and Calculating Missing Angles

This lesson focuses on the PLT skills of teamwork, creativity, critical thinking, effective participation, independent inquiry, reflection, self-management, and real-life cross/curricular links. The objective is to find connections between different words and accurately calculate angles formed by parallel lines. The lesson includes examples, tasks, and extensions to enhance learning.

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Parallel Lines and Angles: Exploring Connections and Calculating Missing Angles

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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 calculate angles formed by parallel lines. (Grades 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 Obtuse Acute 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 Calculate the value of the missing angles below: d 1) 2) 3) 70º 4) 115º b 40º 130º c 80º a 80º 60º 20º 50º 100º 115º 5) 6) 7) j 30º 100º 150º i 60º 75º 75º 60º 80º 60º e f g 30º h EXTENSION 0 =53 1) Calculate the value of x below: + x + 8 = 360 3x + 10 + 2x – 4 + 28 = 360 6x + 42 6x = 318 x

  4. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills PARALLEL LINES AND ANGLES 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

  5. 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

  6. 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

  7. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills PARALLEL LINES AND ANGLES INTERIOR ANGLES (C – shaped) ADD TO 180º ADD TO 180º

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

  9. 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 (GRADE C) 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

  10. 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 (GRADE C) Calculate the missing angles and give reasons why. 1) 2) 100º 106º 37º 150º 130º 50º 30º 37º 3) 98º 36º 5) 98º a 4) 54º 54º 28º 152º 54º 54º 152º 28º

  11. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills PARALLEL LINES AND ANGLES EXTENSION (GRADE C) Calculate the missing angles and give reasons why. 1) 2) 3) 80º 80º 60º 110º 60º 40º 40º 100º 80º 70º 70º 110º 50º 5) 4) 130º 130º 40º 70º 70º 60º 110º 40º 70º 50º BC = CX Explain why AB=BC

  12. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills PARALLEL LINES AND ANGLES MINI-PLENARY Calculate the missing angles below stating reasons. 58º 58º 122º a b d c 58º 122º 122º b = c = d = 58º 58º a = 58º (Corresponding angles) (Angles on a straight line) (Angles on a straight line) (Vertically opposite angles)

  13. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager • LINK BACK TO OBJECTIVES • Accurately calculate angles formed by parallel lines. What grade are we working at? DISCOVERY PLT Skills

  14. PLENARY ACTIVITY EXAM STYLE QUESTION (GRADE C) Calculate the missing angles below. g a d 60º 120º 50º 60º 70º f 110º 70º e c b 120º 60º 110º

  15. 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 calculating angles formed by parallel lines. It can be a skill or a reflection, or something else that might be prominent in your brain.

  16. 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

  17. 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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