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## Which ones are you using?

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**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 find solutions to equations using trial and improvement. (Grade C) AUTHOR www.mistrymaths.co.uk**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: Algebra Variable Term EXTENSION Develop your own Mathematical anagrams as above as a creative thinker.**Which ones are you using?**Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager STARTER PLT Skills TASK 1) Expand: 4) 2) 3) Simplify: Simplify: 5) Factorise: Value of: 2 3 6(x – 3) 2 2x + 5y – 6x + 2y 5 - 3(x – 2) 2 5 y + 8y + 5 x 5 2 x 2 x 2 6x 18 5 3x 6 y (y + 8) - = + - + = = = -4x 7y + = 8 25 11 - 3x + = = 33 = 2 6) 7) 8) 2 Find the value of 7a – 3b when a = 2 and b = 7 Find the value of x + 3x when x = 4 Find the value of x - 6x when x = -2 - - 4 x 4 3 x 4 -2 x -2 6 x -2 7 x 2 3 x 7 + = = = 12 16 + 12 4 14 + - 21 = = = 28 16 -7 = = = EXTENSION Solve: 5(x + 3) = 3(x + 9) 1) 5x 3x = 27 + 15 + - 3x - 3x 2x + 15 = 27 - 15 - 15 = 12 2x ÷ 2 ÷ 2 = 6 x**Which ones are you using?**Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills TRIAL AND IMPROVEMENT EXAMPLES 1) 2) 15 𝑥 𝑥 15 High or Low High or Low 2 Too low 3 Too low 0 12 Replace x with 2 Replace x with 3 3 Too high 3.5 Too high 3 15.75 2.5 Too high 3.4 Too low 1.25 14.96 2.4 Too low 3.45 Too high 0.96 15.3525 Too high 2.45 1.1025 ANSWER = 2.4 (1d.p.) ANSWER = 3.4 (1d.p.)**Which ones are you using?**Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills TRIAL AND IMPROVEMENT TASK (GRADE C) 1) 4) x = 5.67 x = 1.8 x = -2.8 x = -6.17 2) 5) x = 6.7 x = 4.37 x = -7.7 3) x = -6.87 x = 5.4 x = -6.4 EXTENSION (GRADE C) 1) x + 10 x(x + 10) x = 6.2 2) g + 2 g(g + 2) 2 x = 6.7**Which ones are you using?**Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills TRIAL AND IMPROVEMENT MINI-PLENARY Using trial and improvement show that the equation 3x2 - 4x = 18 has a solution between 3 and 4 𝑥 High or Low 3 Too low 15 Replace x with 3 Too high 4 32 22.75 3.5 Too high 3.4 21.08 Too high 3.3 19.47 Too high 3.2 17.92 Too low 3.25 18.6875 Too high ANSWER = 3.2 (1d.p.)**Which ones are you using?**Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager • LINK BACK TO OBJECTIVES • Accurately find solutions to equations using trial and improvement. What grade are we working at? DISCOVERY PLT Skills**PLENARY ACTIVITY**EXAM QUESTION (GRADE C) 3 3.95- 5 x 3.95 = 41.88 3 3 3 3 3 3- 5 x 3 = 12 4- 5 x 4 = 44 3.9- 5 x 3.9 = 39.82 3.8- 5 x 3.8 = 35.87 3.5- 5 x 3.5 = 25.38 x High or Low 3 Replace x with 3 Too low 4 Too high 3.5 Too low 3.8 Too low 3.9 Too low 3.95 Too low ANSWER = 3.9 (closest to 40)**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 finding solutions to equations using trial and improvement. It can be a skill or a reflection, or something else that might be prominent in your brain.**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**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