1. We are learning to: - Enhance Mathematical basic skills knowledge. (Which PLT skills?) -Accurately calculate missing angles involving algebra. (Grades D-C) Always aim high! LESSON OBJECTIVES Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? AUTHOR Where are we in our journey? Real life cross/curricular links? www.mistrymaths.co.uk

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

3. STARTER Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner Which ones are you using?PLT Skills TASK EXTENSION 1) Calculate the value of the missing angles below: 2) 3)4) 5)6)7) a 65º b 136º 140º 20º 80º c 72º54º d ef 50º g h i 160º 45º 20º j 115º 136º 30º 54º 65º 60º 135º Calculate the value of the angles below and provide a reason: a 120º b 70º c 50º 130º (a) (b) (c) ALTERNATE ANGLES ARE EQUAL INTERIOR ANGLES ADD TO 180°

4. ANGLES AND ALGEBRA Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner Which ones are you using?PLT Skills EXAMPLES 1) Work out the values of x below: x 2x - 3 (a) (b) x 3x + 20 (c) 3x - 5 3x 4x 45 0 2x - 3 + x = 90 3x - 3 = 90 + 3 3x = 93 ÷ 3 x = 31° 3x + 20 + x = 180 4x + 20 = 180 - 20 4x = 160 ÷ 4 x = 40° 3x - 5 +4x + 45 +3x = 360 10x + 40 = 360 - 40 10x = 320 ÷ 10 x = 32°

5. Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner Which ones are you using?PLT Skills TASK (GRADE D) 1) Work out the value of the missing angles below: ANGLES AND ALGEBRA (a) (b) (c) (d) (e) (f) (g) (h)

6. ANGLES AND ALGEBRA Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner Which ones are you using?PLT Skills EXTENSION 1 (GRADE D) (a) (b) (c) (d) (e) (f) 1) Work out the value of the missing angles below: 70°

7. ANGLES AND ALGEBRA Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner Which ones are you using?PLT Skills EXTENSION 2 (GRADE C) (a) (b) (c) 1) Work out the value of the missing angles below: 108° 5x= 60 ÷ 5 x = 12° 51°

8. Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? MINI-PLENARY ACTIVITY Work out the value of each angle in the quadrilateral below: ANGLES AND ALGEBRA 4y + 360 3y + 2y + y = 10y 360 = ÷ 10 y = 36° 72° 108° 144°

9. DISCOVERY Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner Which ones are you using?PLT Skills LINK BACK TO OBJECTIVES - Accurately calculate missing angles involving algebra. What grade are we working at?

10. + 105 2x Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? PLENARY ACTIVITY – EXAM QUESTION (GRADE D) ANGLES AND ALGEBRA In the diagram AB is parallel to CD. Not drawn accurately Work out the value of x. (2 marks) Work out the value of y. Give a reason for your answer. (2 marks) + x 3x = 180 + 105 - 105 x =25° = 180 3x = 75 ÷ 3 (a) (b) 25° 50° 105° y = 180° - 105° - 25° y =50° Alternate angles are equal Angles in a triangle add up to 180°

11. Draw your brain What have you learnt? In your brain, write or draw everything you can remember about accurately calculating angles involving algebra. It can be a skill or a reflection, or something else that might be prominent in your brain. What grade are we working at? Where are we in our journey?

12. . How well do you understand the task? I dont understand I nearly understand I fully understand Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? SELF ASSESSMENT Plenary Activity www.mistrymaths.co.uk

13. SELF ASSESSMENT Plenary Activity On your post it notes… Think about how you can improve your work. On your post it notes… Think about how you can improve your work. WWW (What Went Well) EBI (Even Better If) Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? www.mistrymaths.co.uk