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Which ones are you using?

Team Worker. Positive Thinker. Creative Entrepreneur. Independent Learner. Reflective Learner. Responsible Citizen. Real life cross/curricular links?. Where are we in our journey?. Which ones are you using?. Enterprise Skills. LESSON OBJECTIVES. Always aim high!. We are learning to:

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Which ones are you using?

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  1. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Real life cross/curricular links? Where are we in our journey? Which ones are you using? Enterprise Skills LESSON OBJECTIVES 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) AUTHOR www.mistrymaths.co.uk

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

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

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

  5. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Nth Term Enterprise Skills Which ones are you using? EXAMPLES 1) 2) 3 x 1 – 1 4 x 1 + 3 = 2 = 7 3 x 2 – 1 4 x 2 + 3 = 5 = 11 3 x 3 – 1 4 x 3 + 3 = 8 = 15 3 x 4 – 1 4 x 4 + 3 = 11 = 19 3 x 5 – 1 4 x 5 + 3 = 14 = 23 7, 11, 15, 19, 23 2, 5, 8, 11, 14

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

  7. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Nth Term Enterprise Skills Which ones are you using? TASK (Level 6) 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 46, 41, 36, 31, 26 9, 13, 17, 21, 25 92, 84, 76, 68, 60 -2, 3, 8, 13, 18 14, 8, 2, -4, -10 13, 23, 33, 43, 53 62.5, 59, 55.5, 52, 48.5 5, 16, 27, 38, 49 11.5, 20.5, 29.5, 38.5, 47.5 4, -3, -10, -17, -24

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

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

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

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

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

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

  14. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills SEQUENCES Which ones are you using? PLENARY ACTIVITY - PUT YOUR CARDS IN THE AIR What is the value of n2 - 5when… n = 3 A) 1 B) -1 C) 27 D) 4

  15. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills SEQUENCES Which ones are you using? PLENARY ACTIVITY - PUT YOUR CARDS IN THE AIR What is the value of n3 - 5when… n = 2 A) 18 B) 1 C) 3 D) 4

  16. What level 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 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.

  17. 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

  18. 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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