1. We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately find the terms of a sequence given the nth term. (Grades E-C) 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 what the missing words in red are. TASK EXTENSION Develop your own Mathematical letter puzzles as above. 4 S of a Q 14 D in a F 3 P on a P 4 Sides of a Quadrilateral 14 Days in a Fortnight 3 Pins on a Plug

3. STARTER Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner Which ones are you using?PLT Skills EXTENSION TASK Expand and simplify: 1)2) 3) 4) Factorise: 10gh + 12h 5) g divided by g Find the LCM of 3 and 5 6) 176 Expand: -5(4x - 2) Find the HCF of 16 and 40 7) Write 32 as a product of prime factors = 11 and -11 = 2h(5g + 6) = -20x + 10 = g 11 = 15 = 8 = 2 x 2 x 2 x 2 x 2 = 2 5 x x x x x 2 = + 15 + 3x x 2 = + 8x+ 15 (x + 3)(x + 5) + 5x

4. Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? Sequences from the nth term EXAMPLES 3 x 1 – 1 = 2 3 x 2 – 1 = 5 3 x 3 – 1 = 8 3 x 4 – 1 = 11 3 x 5 – 1 = 14 1) 2) 2, 5, 8, 11, 14 4 x 1 + 3 = 7 4 x 2 + 3 = 11 4 x 3 + 3 = 15 4 x 4 + 3 = 19 4 x 5 + 3 = 23 7, 11, 15, 19, 23

5. Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? TASK 1 (GRADE E) EXTENSION 1 (GRADE D) Use each of the following rules to write down the first five terms of a sequence. Sequences from the nth term (a) 2n + 1 for n = 1, 2, 3, 4, 5 (b) 3n – 2 for n = 1, 2, 3, 4, 5 (c) 5n + 2 for n = 1, 2, 3, 4, 5 (d) n for n = 1, 2, 3, 4, 5 (e) n + 3 for n = 1, 2, 3, 4, 5 2 2 TASK 2 (GRADE E) Write down the first five terms of the sequence that has as its nth term: (a) n + 3 (b) 3n – 1 (c) 5n – 2 (d) n – 1 (e) 4n + 5 2 n = 1: n = 2: Write out the next five terms of the sequence. EXTENSION 2 (GRADE C) 3, 5, 7, 9, 11 1, 4, 7, 10, 13 7, 12, 17, 22, 27 1, 4, 9, 16, 25 4, 7, 12, 19, 28 4, 5, 6, 7, 8 2, 5, 8, 11, 14 3, 8, 13, 18, 23 0, 3, 8, 15, 24 9, 13, 17, 21, 25 0.6666667778

6. Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? MINI-PLENARY Sequences from the nth term £305 £600 3 5

7. 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 find the terms of a sequence given the nth term. What grade are we working at?

8. PLENARY ACTIVITY ASSESSING UNDERSTANDING QUESTION The nth term of a sequence is 3n + 7 The nth term of another sequence is 4n – 2 These two series have only one term that is common and has the same position in the sequence. Without writing out the sequences, show how you can tell, using the expressions for the nth term, that this is the 9th term. Make both expressions for the nth term equal to each other and solve 4n - 2 = 3n + 7 - 3n n - 2 = 7 + 2 n= 9

9. Draw your brain What have you learnt? In your brain, write or draw everything you can remember about calculating missing terms of a sequence when given the nth term. 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?

10. . 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

11. 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