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Which ones are you using?

Develop mathematical skills through solving simultaneous equations with the same coefficients. Practice various equations to enhance understanding and problem-solving abilities. Engage in activities and reflections to strengthen PLT skills and self-assessment.

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Which ones are you using?

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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: • Enhance Mathematical basic skills knowledge. (Which PLT skills?) • Accurately solve simultaneous equations where the coefficients of one variable is the same. (Grade B) AUTHOR www.mistrymaths.co.uk

  2. 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 + 4 = 22 = 𝑥 - 4 = 9 5 4) 𝑥 + 6 = 15 3) 1) 2) 7 - 4 - 4 - 6 + 4 - 6 + 4 x 7 x 7 𝑥 𝑥 = 9 = 13 2𝑥 18 = 𝑥 35 = ÷ 2 ÷ 2 𝑥 𝑥 + 6 + 6 = 8 = 8 𝑥 9 = 5 5 7𝑥 - 2 = 47 7) 5) 6) + 2 + 2 - 6 - 6 x 5 x 5 𝑥 7𝑥 49 = = 2 𝑥 + 6 40 = 5 ÷ 7 ÷ 7 - 6 - 6 x 5 x 5 𝑥 7 = 𝑥 𝑥 10 34 = = EXTENSION Solve 8(𝑥 + 3) = 64 𝑥 = 5 8𝑥 = 40 8𝑥 + 24 = 64

  3. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills Solving Simultaneous Equations EXAMPLES Solve the following simultaneous equations: (b) 6x + y = 15 4x + y = 11 (a) 5x + y = 22 2x - y = 6 Signs different (-) Signs different (+) - + 2x = 4 7x = 28 x = 2 x = 4 Substitute in x = 2 Substitute in x = 4 12 + y = 15 8 - y = 6 y = 3 y = 2

  4. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills Simultaneous Equations TASK (GRADE B) 1) 3) 4) 2) 6) 7) 5) 8) 11) 12) 10) 9)

  5. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills Simultaneous Equations EXTENSION (GRADE B) 2) 4) 1) 3) 6) 5) 7) 8) 12) 10) 9) 11)

  6. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills Simultaneous Equations MINI-PLENARY Signs different (-) Work out the value of one apple and one banana 9a + 3b = 105 3a + 3b = 51 - 6a = 54 a = 9 Substitute in a = 9 27 + 3b = 51 3b = 24 b = 8

  7. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager • LINK BACK TO OBJECTIVES • Accurately solve simultaneous equations where the coefficients of one variable is the same. What grade are we working at? DISCOVERY PLT Skills

  8. PLENARY ACTIVITY Solve the following simultaneous equation: Signs different (+) 4x - 3y = 7 x + 3y = 13 + 5x = 20 x = 4 Substitute in x = 4 16 - 3y = 7 - 3y = -9 y = 3

  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 solving simultaneous equations where the coefficients of one variable is the same. 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

  12. What grade 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 simultaneous equations where the coefficients of one variable is the same. It can be a skill or a reflection, or something else that might be prominent in your brain.

  13. Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Which ones are you using? PLT Skills How well do you understand the task? . I fully understand I don’t understand I nearly understand

  14. Plenary Activity WWW (What Went Well) EBI (Even Better If) On your post it notes… Think about how you can improve your work.

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