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Changing the Subject of Formulas - Creative Math Task

In this lesson, students will develop their problem-solving and creative thinking skills by rearranging formulas and solving mathematical anagrams. They will also practice changing the subject of formulas and expand and simplify expressions. Suitable for grade C and above.

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Changing the Subject of Formulas - Creative Math Task

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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 change the subject of formulae. (Grade 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: Term Variable Expression 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 Expand: Expand: Simplify: Simplify: Simplify: 5) 1) 2) 4) 3) 3 =m m + m + m m x m x m 6d(d + 3) 3 2 7(b - 4) 4p x 5p =3m =7b - 28 Solve: 2𝑥 + 7 = 19 Solve: Solve: 𝑥 𝑥 + 6 Solve: 7) 9) 6) 8) + 6 = 11 = 11 4 4 6𝑥 + 4 = 2𝑥 + 12 - 7 - 7 =20p 5 - 2𝑥 - 2𝑥 - 6 - 6 x 4 x 4 2𝑥 12 = 4 4𝑥 12 = + 𝑥 = 5 𝑥 + 6 44 = ÷ 2 4 ÷ 2 - 4 - 4 - 6 - 6 2 =6d + 18d 𝑥 6 x 4 x 4 = 4𝑥 = 8 𝑥 38 = 𝑥 20 = EXTENSION ÷ 4 ÷ 4 Solve: 2) Expand and simplify: 𝑥 2 = 1) 4(𝑥 + 4) = 2(𝑥 + 12) t(t + 3) + 3t(t - 4) 2 4𝑥 + 16 = 2𝑥 + 24 2 = t + 3t + 3t – 12t 2𝑥 = 8 2 =4t – 9t 𝑥 = 4

  4. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills Changing the subject EXAMPLES (b) Make y the subject of G = 8y (a) Make w the subject of H = w - 7 + 7 + 7 ÷ 8 ÷ 8 H + 7 = w y = w H + 7 = y = (c) (d) Make f the subject of R = Make b the subject of C = 3b + 11 f G G C – 11 C – 11 - 11 3 3 - 11 4 8 8 3b = C – 11 x 4 x 4 4R = f ÷ 3 ÷ 3 4R f = b = = b

  5. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills Changing the subject TASK 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 xpence and the price of a mince pie be ypence. 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? 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12)

  6. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills Changing the subject MINI-PLENARY Rearrange the formula of a straight line to make 𝑥 the subject y = m𝑥 + c Equation of a straight line - c - c y – c = m𝑥 ÷ m ÷ m y – c y – c 𝑥 = m m 𝑥 =

  7. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager • LINK BACK TO OBJECTIVES • Accurately change the subject of formulae. What grade are we working at? DISCOVERY PLT Skills

  8. PLENARY ACTIVITY FUNCTIONAL MATHS QUESTION (GRADE C) 9C 5 5 5 5 C = -40 C = C = C = F = C = (36 ) + 32 (-72 ) (-40 -32) (68 - 32 ) 9 9 5 9 9 C = 20

  9. 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 changing the subject of formulae. It can be a skill or a reflection, or something else that might be prominent in your brain.

  10. 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

  11. 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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