2. We are learning to: - Be reflective learners on previous learning outcomes. (Which PLT skills?) -Accurately solve one and two step equations. (Grades F-D) Always aim high! LESSON OBJECTIVES Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? AUTHOR Where are we in our journey? Real life cross/curricular links? www.mistrymaths.co.uk

3. BRAIN IN GEAR Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner Which ones are you using?PLT Skills Work out the following Mathematical anagrams: TASK EXTENSION Develop your own Mathematical anagrams as above as a creative thinker. MERT REXPENSSIO TEANQIUO EXAMPLE DITDIONA can be rearranged to make ADDITION Term Expression Equation

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

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

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

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

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

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

10. Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? SOLVING EQUATIONS INTRODUCTION YEE-HAA or YAHOO x3x3 √x 3

11. Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? SOLVING EQUATIONS INTRODUCTION 6kg 15kg21kg 1)2) Work out the value of one gold bar You may not know this but you have just solved an equation 3g = 21 = ÷ 3 g = 7 kg You may not know this but you have just solved an equation = g = 15 + 6 - 6 g = 9 kg

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

13. Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? 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 z3z3 q4q4 s6s6 TASK 1 (GRADE F) EXTENSION 1 (GRADE E) 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. 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 = 4 w = 14 y = 5 p = 10 x = 5 x = 6 z = 24 x = 2.5 q = 4 x = 1 r = 28 s = 12 Only one with even numbers Only one with minus sign Only one with answer not 6 x + 3 = 17 x = 14 6y = 180 y = 30 30p

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

15. Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? SOLVING EQUATIONS TASK 2 (GRADE E) EXTENSION 2 (GRADE D) (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 (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 EXTENSION 2 (GRADE C) x = 1 t = 3 x = 2 y = 2 x = 9 t = 5 x = 6 x = 4 y = 2 k = -2 x = 3 x = 7 t = 5 x = 3 y = 4 x = 6 t = 8 t = 1 x = 1.5 y = 2.5 x = -4 y = -2 3.25

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

17. Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? SOLVING EQUATIONS TASK 3 (GRADE E & D) EXTENSION 3 (GRADE 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? 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? x = 24 t = 10 w = 21 x = 72 m = 56 k = 5 h = 28 w = 5 x = 35 y = 33 33 48 25

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

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

20. PLENARY ACTIVITY TRUEFALSE Stand UpRemain Seated Solve: 8 - 5 = 43 The answer is = 6

21. PLENARY ACTIVITY Stand UpRemain Seated TRUEFALSE Solve: -2 + 7 = -3 The answer is = -5

22. PLENARY ACTIVITY Stand UpRemain Seated TRUEFALSE Solve: 4( - 5) = 4 The answer is = -4

23. Draw your brain What have you learnt? 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. What grade are we working at? Where are we in our journey?

24. . How well do you understand the task? I don’t understand I nearly understand I fully understand Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? SELF ASSESSMENT Plenary Activity www.mistrymaths.co.uk

25. SELF ASSESSMENT Plenary Activity On your post it notes… Think about how you can improve your work. On your post it notes… Think about how you can improve your work. WWW (What Went Well) EBI (Even Better If) Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? www.mistrymaths.co.uk