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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: - Enhance Mathematical basic skills knowledge. (Which PLT skills?) - Accurately solve simultaneous equations where the coefficients of one variable is the same. (Grade B) 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₯ -6 π₯ =9 5) 7π₯ - 2 = 47 +2 +2 7π₯ = 49 ÷7 ÷7 π₯ = 7 +4 +4 π₯ 6) 5 π₯ 5 x5 π₯ +6=8 -6 -6 =2 -4 π₯ = 35 7) π₯+6 5 =8 x5 -6 π₯ EXTENSION Solve 8(π₯ + 3) = 64 8π₯ + 24 = 64 8π₯ = 40 x5 π₯ + 6 = 40 x5 = 10 4) 2π₯ + 4 = 22 x7 x7 = 13 Team Worker Which ones are you using? TASK Solve each of the following equations: π₯ 3) =5 1) π₯ + 6 = 15 2) π₯ - 4 = 9 7 -6 Self Manager π₯=5 -6 = 34 -4 2π₯ = 18 ÷2 ÷2 π₯ = 9 Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you using? PLT Skills Solving Simultaneous Equations EXAMPLES Solve the following simultaneous equations: (b) 6x + y = 15 (a) 5x + y = 22 Signs different (+) - 4x + y = 11 Signs different (-) + 2x - y = 6 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 Creative Thinker PLT Skills Effective Participator Independent Enquirer Reflective Learner Simultaneous Equations Self Manager Team Worker Which ones are you using? TASK (GRADE B) 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) Creative Thinker PLT Skills Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Simultaneous Equations Which ones are you using? EXTENSION (GRADE B) 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) Creative Thinker PLT Skills Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Simultaneous Equations Which ones are you using? MINI-PLENARY Work out the value of one apple and one banana 9a + 3b = 105 - 3a + 3b = 51 6a a = 54 = 9 Substitute in a = 9 27 + 3b = 51 3b = 24 b = 8 Signs different (-) Creative Thinker PLT Skills Effective Participator Independent Enquirer DISCOVERY Reflective Learner Self Manager Team Worker Which ones are you using? LINK BACK TO OBJECTIVES - Accurately solve simultaneous equations where the coefficients of one variable is the same. What grade are we working at? PLENARY ACTIVITY Solve the following simultaneous equation: 4x - 3y = 7 Signs different (+) + x + 3y = 13 5x x = 20 = 4 Substitute in x = 4 16 - 3y = 7 - 3y = -9 y = 3 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. 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 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. Where are we in our journey? What grade we working at? Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you using? PLT Skills How well do you understand the task? . I donβt understand I nearly understand I fully understand Plenary Activity WWW (What Went Well) EBI (Even Better If) On your post it notesβ¦ Think about how you can improve your work.