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Solving Equations - Reflective Learner

Develop problem-solving skills and solve equations using reflective thinking. Explore various mathematical concepts and apply them creatively to solve equations. Enhance PLT skills.

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Solving Equations - Reflective Learner

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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: • Be reflective learners on previous learning outcomes. (Which PLT skills?) • Accurately solve one and two step equations. (Grades F-D) AUTHOR www.mistrymaths.co.uk

  2. 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: Term Expression Equation EXTENSION Develop your own Mathematical anagrams as above as a creative thinker.

  3. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager STARTER PLT Skills TASK Find the inverse operation of the following below: • (c) • (d) X 9 x 2 • +5 • - 7 - 5 ÷ 9 + 7 EXTENSION Find the inverse operation of the following below: (b)

  4. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills SOLVING EQUATIONS INTRODUCTION SALOON SNAP

  5. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills SOLVING EQUATIONS INTRODUCTION YEE-HAA orYAHOO -9 +9

  6. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills SOLVING EQUATIONS INTRODUCTION YEE-HAA orYAHOO x8 √8

  7. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills SOLVING EQUATIONS INTRODUCTION YEE-HAA orYAHOO

  8. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills SOLVING EQUATIONS INTRODUCTION YEE-HAA orYAHOO x6 -6

  9. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills SOLVING EQUATIONS INTRODUCTION YEE-HAA orYAHOO x3 √x 3

  10. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills SOLVING EQUATIONS INTRODUCTION 1) 2) = = 15kg 21kg 6kg Work out the value of one gold bar Work out the value of one gold bar You may not know this but you have just solved an equation You may not know this but you have just solved an equation g 15 = + 6 3g 21 = - 6 - 6 ÷ 3 ÷ 3 g 7 g 9 = = kg kg

  11. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills SOLVING EQUATIONS EXAMPLES Solve each of the following equations: 𝑥 5𝑥 = 40 = 𝑥 - 9 = 2 11 4) 𝑥 + 7 = 10 3) 1) 2) 4 ÷ 5 ÷ 5 - 7 + 9 - 7 + 9 x 4 x 4 𝑥 = 8 𝑥 𝑥 = 3 = 11 𝑥 44 =

  12. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills SOLVING EQUATIONS (a)x + 6 = 10 (b)w – 5 = 9 (c) y + 3 = 8 (d) p – 9 = 1 (e) 2x = 10 (f) 3x = 18 (g)= 8 (h) 4x = 10 (i) = 1 (j) x + 9 = 10 (k) r – 7 = 21 (l) = 2 EXTENSION 1 (GRADE E) TASK 1 (GRADE F) 1) Here are three equations. (a)x + 6 = 12 (b) x – 1 = 5 (c) x + 5 = 9 Give a reason why each one could be the odd one out. x = 4 Only one with even numbers w = 14 Only one with minus sign y = 5 Only one with answer not 6 p = 10 x = 5 2)Set up an equation to represent the following. Use x for the variable. My sister is 3 years older than I am. She is 17 years old. How old am I? 3)Set up an equation to represent the following. Use y for the variable. Six apples cost £1.80. How much is one apple? x = 6 z 3 z = 24 x = 2.5 x + 3 = 17 q 4 x = 14 q = 4 x = 1 r = 28 6y = 180 y = 30 s = 12 s 6 30p

  13. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills SOLVING EQUATIONS EXAMPLES Solve each of the following equations: 3(𝑥 + 5) = 36 8𝑥 - 7 = 49 3) 2) 2𝑥 + 8 = 20 1) 3𝑥 = 36 15 + + 7 + 7 - 8 - 8 8𝑥 2𝑥 56 12 = = - 15 -15 3𝑥 21 = ÷ 8 ÷ 8 ÷ 2 ÷ 2 𝑥 𝑥 7 6 = = ÷ 3 ÷ 3 𝑥 7 =

  14. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills SOLVING EQUATIONS TASK 2 (GRADE E) EXTENSION 2 (GRADE C) EXTENSION 2 (GRADE D) (a)2(x + 5) = 16 (b) 5(x – 3) = 20 (c) 3(t + 1) = 18 (d) 4(2x + 5) = 44 (e) 2(3y – 5) = 14 (f) 5(4x + 3) = 135 (g) 4(3t – 2) = 88 (h) 6(2t + 5) = 42 (i) 2(3x + 1) = 11 (j) 4(5y – 2) = 42 (k) 5(2x – 1) = –45 (l) 7(3y + 5) = –7 (a) 2x + 4 = 6 (b) 2t + 7 = 13 (c) 3x + 10 = 16 (d) 4y + 15 = 23 (e) 2x – 8 = 10 (f) 4t – 3 = 17 (g) 5x – 6 = 24 (h) 7 – x = 3 (i)12 – 3y = 6 (j)2k + 8 = 4 x = 1 x = 3 x = 7 t = 3 t = 5 x = 2 x = 3 y = 2 y = 4 x = 9 3.25 x = 6 t = 5 t = 8 x = 6 t = 1 x = 4 x = 1.5 y = 2 y = 2.5 k = -2 x = -4 y = -2

  15. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills SOLVING EQUATIONS EXAMPLES Solve each of the following equations: 2) 1) - 4 - 4 x 3 x 3 = 9 𝑥 + 4 39 = 𝑥 𝑥 + 4 + 4 = 13 = 13 - 4 - 4 x 3 x 3 3 3 𝑥 𝑥 27 35 = = 𝑥 3

  16. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills SOLVING EQUATIONS EXTENSION 3 (GRADE D) TASK 3 (GRADE E & D) (a)+ 7 = 15 (b)+ 3 = 5 (c)– 5 = 2 (d)+ 3 = 12 (e)– 3 = 5 (f) = 3 (g) = 3 (h) = 1 (i) = 10 (j) = 5 1) A teacher read out the following to her class: “I am thinking of a number. I subtract 5 from it and then divide the result by 4. The answer is 7. What number did I think of to start with?” (a) What was the number the teacher thought of? (b) Bryn misunderstood the instructions and got the operations the wrong way round. What number did Bryn think the teacher started with? x = 24 t = 10 w = 21 33 x = 72 m = 56 48 k = 5 2) At a conference, doughnuts are delivered for the mid-morning break. The waiter takes five off the tray before taking them to the delegates. There are 10 delegates and they each get two doughnuts. How many doughnuts were delivered? h = 28 w = 5 25 x = 35 y = 33

  17. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills SOLVING EQUATIONS MINI-PLENARY Must add 1 on both sides Must divide by 2 on both sides BETSY

  18. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager • LINK BACK TO OBJECTIVES • Accurately solve one and two step equations. What grade are we working at? DISCOVERY PLT Skills

  19. PLENARY ACTIVITY Solve: 8𝑥 - 5 = 43 The answer is 𝑥 = 6 TRUE FALSE Stand Up Remain Seated

  20. PLENARY ACTIVITY Solve: -2𝑥 + 7 = -3 The answer is 𝑥 = -5 TRUE FALSE Stand Up Remain Seated

  21. PLENARY ACTIVITY Solve: 4(𝑥 - 5) = 4 The answer is 𝑥 = -4 TRUE FALSE Stand Up Remain Seated

  22. 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 one and two step equations. It can be a skill or a reflection, or something else that might be prominent in your brain.

  23. 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

  24. 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

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