Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills LESSON OBJECTIVES Responsible Citizen Team Worker Which ones are you using? Always aim high! We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills? ) - Accurately find the terms of a number sequence given the nth term. (Level 6) Where are we in our journey? AUTHOR www. mistrymaths. co. uk Real life cross/curricular links?

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills LEARNING JOURNEY Responsible Citizen Team Worker Which ones are you using?

Positive Thinker Creative Entrepreneur Independent Learner Enterprise Skills BRAIN Reflective Learner IN GEAR Responsible Citizen Team Worker Which ones are you using? EXAMPLE DITDIONA can be rearranged to make ADDITION TASK Work out the following Mathematical anagrams: EXSSRENIOP Expression TOUSBSNITUTI Substitution GEEENATR Generate EXTENSION Develop your own Mathematical anagrams as above as a creative entrepreneur.

Positive Thinker Creative Entrepreneur Enterprise Skills Independent Learner STARTER Reflective Learner Responsible Citizen Team Worker Which ones are you using? TASK 1) Find the next terms in the sequences below: -1 -4 80 160 (c)11, 8, 5, 2, …. 26 32 (b)5, 10, 20, 40, …. (a)2, 8, 14, 20, …. 2) Find the nth term for the sequences below: (a)2, 5, 8, 11, …. (b)9, 13, 17, 21, …. (c)7, 4, 1, -2, …. 4 n + 5 3 n - 1 -3 n + 10 EXTENSION Find the value for the 1000 th term for your answers in question 2 (a) 2, 5, 8, 11, …. (b) 9, 13, 17, 21, …. (c)7, 4, 1, -2, …. 4 x 1000 + 5 3 x 1000 - 1 -3 x 1000 + 10 = 4005 = 2999 = -2990

Positive Thinker Creative Entrepreneur Enterprise Skills Independent Learner Nth Term Reflective Learner Team Worker Which ones are you using? EXAMPLES 1) Responsible Citizen 2) 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 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

Positive Thinker Creative Entrepreneur Independent Learner Nth Term Reflective Learner Team Worker Responsible Citizen Which ones are you using? QUICK AFL QUESTIONS ON WHITEBOARDS Enterprise Skills th Find the first 5 terms of the sequence with the following n terms 1) 2) 5 7 9 11 13 15 10 5, 7, 9, 11, 13 3) 5 0 -5 15, 10, 5, 0, -5 4) 2 6 10 14 18 17 16 15 14 13 2, 6, 10, 14, 18 5) 17, 16, 15, 14, 13 6) 10 13 16 19 22 10, 13, 16, 19, 22 25 22 19 16 13 25, 22, 19, 16, 13

Positive Thinker Creative Entrepreneur Enterprise Skills TASK (Level 6) Independent Learner Nth Term Reflective Learner Responsible Citizen Team Worker Which ones are you using? Find the first 5 terms of each sequence with the following nth terms within the grid 3, 5, 7, 9, 11 18, 16, 14, 12, 10 -1, 2, 5, 8, 11 31, 30, 29, 28, 27 10, 12, 14, 16, 18 32, 29, 26, 23, 20 9, 13, 17, 21, 25 46, 41, 36, 31, 26 -2, 3, 8, 13, 18 92, 84, 76, 68, 60 13, 23, 33, 43, 53 14, 8, 2, -4, -10 5, 16, 27, 38, 49 11. 5, 20. 5, 29. 5, 38. 5, 47. 5 62. 5, 59, 55. 5, 52, 48. 5

Positive Thinker Creative Entrepreneur Enterprise Skills Independent Learner Nth Term Reflective Learner Responsible Citizen Team Worker Which ones are you using? EXTENSION (Level 6) Create your own nth term wordsearch worksheet for a peer to complete.

MINI-PLENARY (CATCHPHRASE) 2 n - 3 3 n + 1 10 n - 1 4 n + 3 6 n 4 n + 1 5 n - 3 8 n - 4 6 n + 1 7 n - 4 10 - n 12 n + 1 2 n + 7 4 n + 9 8 n + 3 3 n + 9 3 n + 11 10 n 5 n + 10 3 n - 4 14 n 2 n + 7 13 n - 2 2 n + 13 5 n - 1

Positive Thinker Creative Entrepreneur Enterprise Skills Independent Learner Reflective Learner DISCOVERY Responsible Citizen Team Worker Which ones are you using? LINK BACK TO OBJECTIVES - Accurately find the terms of a number sequence given the nth term. What level are we working at?

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones are you SEQUENCES Enterprise Skills PLENARY ACTIVITY - PUT YOUR CARDS IN THE AIR using? What is the value of 2 n + 1 when… n = 4 A) 9 B) 25 C) 11 D) 43

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones are you SEQUENCES Enterprise Skills PLENARY ACTIVITY - PUT YOUR CARDS IN THE AIR using? What is the value of 2 n - 2 when… n = 9 A) 27 B) 27 C) 16 D) 90

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones are you SEQUENCES Enterprise Skills PLENARY ACTIVITY - PUT YOUR CARDS IN THE AIR using? What is the value of n + 13 when… n = -1 A) -14 B) 12 C) 14 D) -12

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones are you SEQUENCES Enterprise Skills PLENARY ACTIVITY - PUT YOUR CARDS IN THE AIR using? What is the value of n 2 - 5 when… n = 3 A) 1 B) -1 C) 27 D) 4

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones are you SEQUENCES Enterprise Skills PLENARY ACTIVITY - PUT YOUR CARDS IN THE AIR using? What is the value of 3 n - 5 when… n = 2 A) 18 B) 1 C) 3 D) 4

What have you learnt? Draw your brain In your brain, write or draw everything you can remember about finding the terms of a sequence given the nth term. 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 level are we working at?

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

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. SELF ASSESSMENT 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 Responsible Citizen Team Worker Which ones are you using?