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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: - Be reflective learners on previous learning outcomes. (Which PLT skills?) - Accurately solve simple linear inequalities and represent them on a number line. (Grade C) Where are we in our journey? AUTHOR www.mistrymaths.co.uk Real life cross/curricular links? Creative Thinker PLT Skills Effective Participator Independent Enquirer Reflective Learner STARTER π₯ -3 π₯ =7 5) 6π₯ - 6 = 42 +6 +6 6π₯ = 48 ÷6 ÷6 π₯ +7 +7 = 8 π₯ 6) 9 π₯ 9 x9 π₯ +5=2 -5 -5 = -3 -8 7) π₯+5 9 4π₯ = 48 ÷2 =2 x9 x9 π₯ + 5 = 18 -5 -5 π₯ = 13 EXTENSION Solve 4(π₯ - 6) = 24 4π₯ - 24 = 24 2π₯ π₯ = 45 x9 = -27 4) 2π₯ + 8 = 56 x5 x5 = 18 Team Worker Which ones are you using? TASK Solve each of the following equations: π₯ 3) =9 1) π₯ + 3 = 10 2) π₯ - 7 = 11 5 -3 Self Manager π₯ = 12 π₯ -8 = 48 ÷2 = 24 Creative Thinker PLT Skills Effective Participator Independent Enquirer Reflective Learner SOLVING INEQUALITIES Self Manager Team Worker Which ones are you using? INTRODUCTION What do you think each of these following conventions mean? Creative Thinker PLT Skills Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you using? SOLVING INEQUALITIES INTRODUCTION Write down the inequality that you think is represented by each diagram below: (a) (b) 0 1 2 3 4 5 0 1 2 3 4 5 5 6 7 8 9 10 -6 -2 2 6 10 14 (d) (c) -4 -3 -2 -1 0 1 (e) (f) -2 -1 0 1 2 3 Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker PLT Skills SOLVING INEQUALITIES Which ones are you using? EXAMPLES Solve the following inequalities and represent the solutions on a number line: π₯+6 π₯ 4) + 7 > 2 3) 4 1) π₯ + 8 < 11 2) 8 π₯ - 11 -8 -8 2π₯ <3 ÷2 0 1 2 3 4 5 5) 3(π₯ + 7) < 45 π₯ - 11 β€ 7 ÷2 β€ 3.5 0 1 2 3 4 5 3π₯ + 21 < 45 -21 - 21 3π₯ < 24 ÷3 ÷3 π₯ < 8 4 5 6 7 8 9 -7 π₯ 4 x4 π₯ -7 > -5 x4 > -20 -22 -21 -20 -19 -18 -17 x8 x8 π₯ + 6 β₯ 24 -6 π₯ -6 β₯ 18 17 18 19 20 21 22 Creative Thinker Effective Participator Independent Enquirer Reflective Learner PLT Skills SOLVING INEQUALITIES TASK 1 (GRADE C) Self Manager Team Worker Which ones are you using? Solve the following inequalities: TASK 2 (GRADE C) Solve the following inequalities and represent the solutions on a number line: Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker PLT Skills SOLVING INEQUALITIES Which ones are you using? TASK 1 ANSWERS (GRADE C) TASK 2 ANSWERS (GRADE C) Creative Thinker PLT Skills Effective Participator Independent Enquirer Reflective Learner SOLVING INEQUALITIES Self Manager Team Worker Which ones are you using? EXTENSION (GRADE C) Solve the following inequalities and represent the solutions on a number line: Creative Thinker PLT Skills Effective Participator Independent Enquirer Reflective Learner SOLVING INEQUALITIES Self Manager Team Worker Which ones are you using? EXTENSION ANSWERS (GRADE C) Solve the following inequalities and represent the solutions on a number line: Creative Thinker PLT Skills Effective Participator Independent Enquirer Reflective Learner SOLVING INEQUALITIES Self Manager Team Worker Which ones are you using? MINI-PLENARY Solve the following inequality and represent the solution on a number line: - 3y - 3y 4π¦ 6 ÷4 ÷4 π¦ < 1.5 0 0.5 1 1.5 2 2.5 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 solve simple linear inequalities and represent them on a number line. What grade are we working at? PLENARY ACTIVITY GRADE B STYLE QUESTION (Moving from Foundation to Higher) Solve the following inequality and represent the solution on a number line: SPLIT THE INEQUALITY IN TWO -1 -1 -1 -1 2π₯ 11 ÷2 ÷2 ÷2 -3 < π₯ π₯ -6 < 2π₯ ÷2 -4 -2 0 2 4 6 5.5 What have you learnt? Draw your brain In your brain, write or draw everything you can remember about solving simple linear inequalities and representing them on a number line. 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