Which ones are you using?

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Presentation transcript:

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

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

Which ones are you using? Creative Thinker Effective Participator STARTER Independent Enquirer Reflective Learner Self Manager Team Worker PLT Skills Which ones are you using? TASK Calculate the value of the missing angles below: d 1) 2) 136º 3) 80º 4) b 54º 115º a 30º c 65º 20º 72º 54º 136º 140º 5) 6) 7) 50º j 135º 160º i 60º 65º 65º e f g 60º 60º 45º h 20º 3

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

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

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

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

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

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

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

Where are we in our journey? What grade we working at? What have you learnt? Draw your brain 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. Where are we in our journey? What grade we working at?

Which ones are you using? Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you using? PLT Skills How well do you understand the task? . I don’t understand I nearly understand I fully understand

Think about how you can improve your work. Plenary Activity WWW (What Went Well) EBI (Even Better If) On your post it notes… Think about how you can improve your work.