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Enhance math skills by solving inequalities. Reflect on learning outcomes and represent solutions on a number line. Practice different tasks and extensions to improve understanding.
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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: • Be reflective learners on previous learning outcomes. (Which PLT skills?) • Accurately solve simple linear inequalities and represent them on a number line. (Grade C) AUTHOR www.mistrymaths.co.uk
Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager STARTER PLT Skills TASK Solve each of the following equations: 𝑥 2𝑥 + 8 = 56 = 𝑥 - 7 = 11 9 4) 𝑥 + 3 = 10 3) 1) 2) 5 - 8 - 8 - 3 + 7 - 3 + 7 x 5 x 5 𝑥 𝑥 = 7 = 18 2𝑥 48 = 𝑥 45 = ÷ 2 ÷ 2 𝑥 𝑥 + 5 + 5 = 2 = 2 𝑥 24 = 9 9 6𝑥 - 6 = 42 7) 5) 6) + 6 + 6 - 5 - 5 x 9 x 9 𝑥 6𝑥 48 = = -3 𝑥 + 5 18 = 9 ÷ 6 ÷ 6 - 5 - 5 x 9 x 9 𝑥 8 = 𝑥 𝑥 -27 13 = = EXTENSION Solve 4(𝑥 - 6) = 24 𝑥 = 12 4𝑥 = 48 4𝑥 - 24 = 24
Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills SOLVING INEQUALITIES INTRODUCTION What do you think each of these following conventions mean?
Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills SOLVING INEQUALITIES INTRODUCTION Write down the inequality that you think is represented by each diagram below: (a) (b) -2 -6 5 0 -4 0 -2 -3 -1 1 1 6 -2 0 7 2 2 2 -1 1 8 3 6 3 10 9 4 4 0 2 14 10 5 3 1 5 (d) (c) (e) (f)
Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills SOLVING INEQUALITIES EXAMPLES Solve the following inequalities and represent the solutions on a number line: 4) 3) 2) 𝑥 + 8 < 11 1) - 7 - 7 - 11 - 11 - 8 - 8 x 8 x 8 𝑥 > -5 2𝑥 < 3 7 ≤ 𝑥 + 6 24 ≥ 𝑥 𝑥 + 6 + 7 > 2 ÷ 2 ÷ 2 - 6 - 6 4 8 x 4 x 4 𝑥 3.5 ≤ 𝑥 18 𝑥 ≥ -20 > 22 -17 -22 17 4 0 0 -21 18 1 1 5 19 -20 2 2 6 -19 20 7 3 3 8 4 4 5 9 5 -18 21 𝑥 3(𝑥 + 7) < 45 5) 4 3𝑥 < 45 21 + - 21 -21 3𝑥 24 < ÷ 3 ÷ 3 𝑥 8 <
Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills SOLVING INEQUALITIES TASK 1 (GRADE C) Solve the following inequalities: TASK 2 (GRADE C) Solve the following inequalities and represent the solutions on a number line:
Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills SOLVING INEQUALITIES TASK 1 ANSWERS (GRADE C) TASK 2 ANSWERS (GRADE C)
Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills SOLVING INEQUALITIES EXTENSION (GRADE C) Solve the following inequalities and represent the solutions on a number line:
Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills SOLVING INEQUALITIES EXTENSION ANSWERS (GRADE C) Solve the following inequalities and represent the solutions on a number line:
Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills SOLVING INEQUALITIES MINI-PLENARY Solve the following inequality and represent the solution on a number line: - 3y - 3y 4𝑦 6 0 0.5 1 1.5 2 2.5 ÷ 4 ÷ 4 𝑦 < 1.5
Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager • LINK BACK TO OBJECTIVES • Accurately solve simple linear inequalities and represent them on a number line. What grade are we working at? DISCOVERY PLT Skills
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 -4 -2 0 2 4 6 - 1 - 1 - 1 - 1 2𝑥 11 < 2𝑥 -6 ÷ 2 ÷ 2 ÷ 2 ÷ 2 𝑥 5.5 𝑥 -3 <
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 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.
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