1. We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately solve quadratic simultaneous equations. (Grade A*) 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

2. 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. UQEARS CATFEORIS ELVOS EXAMPLE DITDIONA can be rearranged to make ADDITION Square Factorise Solve

3. y = 2 6x + y = 26 2x - y = 6 STARTER Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner Which ones are you using?PLT Skills TASK 1) Solve the following simultaneous equations: EXTENSION 1) Signs different (+) + 8x = 32 x = 4 Substitute in x = 4 8 - y = 6 6x + y = 27 4x + y = 11 Signs different (-) - 2x = 16 x = 8 Substitute in x = 8 32 + y = 11 y = -21 2) Solve the following simultaneous equation: 3x – 5y = 5 5x – 3y = 15 x 3 x 5 9x – 15y = 15 25x – 15y = 75- -16x = -60 x = 3.75 Substitute in x = 3.75 11.25 - 5y = 5 - 5y = -6.25 y = 1.25

4. Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? EXAMPLE 1 Solve the following quadratic simultaneous equation. QUADRATIC SIMULTANEOUS EQUATIONS 1 2 Rearrange equation for substitution x x x x Factorise quadratic Make both brackets = 0

5. Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? EXAMPLE 2 QUADRATIC SIMULTANEOUS EQUATIONS 1 2 Solve the following quadratic simultaneous equation. When both equations are given in term of y, make = Rearrange to make the equation = 0 Factorise quadratic Make both brackets = 0 +3 -2

6. Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? TASK (GRADE A*) (a) QUADRATIC SIMULTANEOUS EQUATIONS Solve these pairs of simultaneous equations: 1) (b) (a) 2) (b) (c) (a) 3) (b) (c) (a) 4) (b) (c) (d) (e) (f) (g)

7. Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? QUADRATIC SIMULTANEOUS EQUATIONS EXTENSION (GRADE A*) 1) (a) Solve the simultaneous equations: y = x + 3x – 4 and y = 5x – 5 (b) Which of the sketches below represents the graphs of the equations in part (a)? Explain your choice. 2 (i) (ii) (iii) As straight line just touches the curve

8. Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? MINI-PLENARY Spot the mistake below: QUADRATIC SIMULTANEOUS EQUATIONS 1 2 Rearrange equation for substitution Make both brackets = 0 -3

9. 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 quadratic simultaneous equations. What grade are we working at?

10. PLENARY ACTIVITY GRADE A* EXAM QUESTION (6 marks) Solve the simultaneous equations. x = 3 + 2y x + 2y = 27 Do not use trial and improvement. You must show your working. 2 2 1 2 x x x x ÷6 Factorise quadratic Make both brackets = 0 -3 +1

11. Draw your brain What have you learnt? In your brain, write or draw everything you can remember about solving quadratic simultaneous 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?

12. . 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

13. 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