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Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker 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 change the subject of formulae. (Grade C) Where are we in our journey? AUTHOR www.mistrymaths.co.uk Real life cross/curricular links? Creative Thinker Effective Participator Independent Enquirer Reflective Learner BRAIN IN GEAR PLT Skills Self Manager Team Worker Which ones are you using? EXAMPLE DITDIONA can be rearranged to make ADDITION TASK Work out the following Mathematical anagrams: MERT Term AVARIBEL Variable XPSRESENOI Expression EXTENSION Develop your own Mathematical anagrams as above as a creative thinker. Creative Thinker Effective Participator PLT Skills Independent Enquirer Reflective Learner STARTER Self Manager Team Worker Which ones are you using? TASK 2) Simplify: 1) Simplify: 4) Expand: 5) Expand: 3) Simplify: m+m+m = 3m m x m x m 4p3 x 5p 2 6d(d + 3) 7(b - 4) = m3 = 7b - 28 = 6d2 + 18d = 20p5 6) Solve: 7) Solve: 2π₯ + 7 = 19 -7 -7 2π₯ = 12 ÷2 ÷2 π₯ 4 + 6 = 11 -6 π₯ 4 π₯ = 6 π₯ EXTENSION 1) Expand and simplify: t(t + 3) + 3t(t - 4) = t2 + 3t + 3t 2 β 12t = 4t2 β 9t x4 9) Solve: 8) Solve: -6 =5 x4 = 20 π₯+6 4 x4 = 11 x4 π₯ + 6 = 44 - 2π₯ = 38 2) Solve: - 2π₯ 4π₯ + 4 = 4π₯ 12 -4 -4 -6 -6 π₯ 6π₯ + 4 = 2π₯ + 12 = ÷4 π₯ = 4(π₯ + 4) = 2(π₯ + 12) 4π₯ + 16 = 2π₯ + 24 2π₯ = 8 π₯=4 8 ÷4 2 Creative Thinker PLT Skills Effective Participator Independent Enquirer Reflective Learner Changing the subject Self Manager Which ones are you using? EXAMPLES (a) Make w the subject of H = w - 7 +7 +7 H+7= w w =H + 7 (c) Make f the subject f of R = 4 x4 x4 4R = f f = 4R (b) Make y the subject of G = 8y ÷8 ÷8 G = y 8 G y= 8 (d) Make b the subject of C = 3b + 11 - 11 - 11 C β 11 = 3b ÷3 Team Worker ÷3 C β 11 = b 3 C β 11 b = 3 Creative Thinker PLT Skills TASK 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) Effective Participator Independent Enquirer Reflective Learner Changing the subject Self Manager Team Worker Which ones are you using? EXTENSION 1) Josh notices that the price of five cream buns is 75p more than the price of nine mince pies. Let the price of a cream bun be x pence and the price of a mince pie be y pence. a) Express the cost of one mince pie, y, in terms of the price of a cream bun, x. b) If the price of a cream bun is 60p, how much is a mince pie? Creative Thinker PLT Skills Effective Participator Independent Enquirer Reflective Learner Changing the subject Self Manager Which ones are you using? MINI-PLENARY Rearrange the formula of a straight line to make π₯ the subject Equation of a straight line y = mπ₯ + c -c -c y β c = mπ₯ ÷m ÷m yβc = m π₯ π₯ Team Worker yβc = m Creative Thinker PLT Skills Effective Participator Independent Enquirer Reflective Learner DISCOVERY Self Manager Team Worker Which ones are you using? LINK BACK TO OBJECTIVES - Accurately change the subject of formulae. What grade are we working at? PLENARY ACTIVITY FUNCTIONAL MATHS QUESTION (GRADE C) C= C= C= 5 9 5 9 5 9 (-40 -32) (-72 ) C = -40 (68 - 32 ) C = 5 9 F= (36 ) C = 20 9C 5 + 32 What have you learnt? Draw your brain In your brain, write or draw everything you can remember about changing the subject of formulae. 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 are we working at? Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills SELF ASSESSMENT Which ones are you using? Plenary Activity How well do you understand the task? . I donβt understand I nearly understand www.mistrymaths.co.uk I fully understand Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills SELF ASSESSMENT Which ones are you using? Plenary Activity WWW (What Went Well) EBI (Even Better If) On your post it notesβ¦ Think about how you can improve your work. www.mistrymaths.co.uk