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Which ones are you using?

Improve math skills by finding missing terms in sequences and respective rules. Develop creative entrepreneurial thinking. Reflect on your learning journey using real-life cross-curricular links.

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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 missing terms in sequences and their respective rules. (Levels 4-5) 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? TASK 1) Write down the next term in the following sequences: 22 (a) 2, 6, 10, 14, 18, ….. Adding 4 each time 47 (b) 11, 20, 29, 38, ….. Adding 9 each time 43 (c) 13, 15, 19, 27, .... Add 2, then 4, then 8 and then 16 EXTENSION 1) Write down the next term in the following sequences: S (a) M, T, W, T, F, ….. Days of the week S (b)J, F, M, A, M, J, J, A, ….. Months of the year S (c)3, 3, 5, 4, 4, 3, 5 ..... One has 3 letters, Two has 3 letters, Three has 5 letters etc

  4. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen STARTER Enterprise Skills Which ones are you using? TASK (BINGO) Draw a 3 x 3 grid as shown below: Place any nine numbers below into the grid (repeats forbidden)

  5. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen STARTER Enterprise Skills Which ones are you using? TASK (BINGO) What is the next term? 4, 7, 10, 13, ? 16

  6. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen STARTER Enterprise Skills Which ones are you using? TASK (BINGO) What is the next term? 25, 31, 37, 43, ? 49

  7. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen STARTER Enterprise Skills Which ones are you using? TASK (BINGO) What is the next term? 1, 4, 9, 16, 25, ? 36

  8. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen STARTER Enterprise Skills Which ones are you using? TASK (BINGO) What is the next term? 200, 100, 50, 25, ? 12.5

  9. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen STARTER Enterprise Skills Which ones are you using? TASK (BINGO) What is the next term? 7, 15, 23, 31, ? 39

  10. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen STARTER Enterprise Skills Which ones are you using? TASK (BINGO) What is the next term? 4, 1, -2, -5, ? -8

  11. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen STARTER Enterprise Skills Which ones are you using? TASK (BINGO) What is the next term? 64, 16, 4, 1, ?

  12. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen STARTER Enterprise Skills Which ones are you using? TASK (BINGO) What is the next term? 3, 6, 12, 24, ? 48

  13. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen STARTER Enterprise Skills Which ones are you using? TASK (BINGO) What is the next term? 10, 14, 18, 22, ? 26

  14. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen STARTER Enterprise Skills Which ones are you using? TASK (BINGO) What is the next term? 0.5, 0.8, 1.1, 1.4, ? 1.7

  15. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen STARTER Enterprise Skills Which ones are you using? TASK (BINGO) What is the next term? 18, 29, 40, 51, ? 62

  16. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen STARTER Enterprise Skills Which ones are you using? TASK (BINGO) What is the next term? 7, 10, 15, 22, ? 31

  17. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen STARTER Enterprise Skills Which ones are you using? TASK (BINGO) What is the next term? 42, 39, 36, 33, ? 30

  18. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen STARTER Enterprise Skills Which ones are you using? TASK (BINGO) What is the next term? 19, 13, 7, 1, ? -5

  19. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen STARTER Enterprise Skills Which ones are you using? TASK (BINGO) What is the next term? 1, 1, 2, 3, 5, 8, ? 13

  20. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills SEQUENCES Which ones are you using? TASK (Level 4) EXTENSION (Level 5) 1) 1) Find at least two different sequences for each pair of numbers. Describe the rule you have used. Find the rule AND the next two terms of the sequences below: -5 25 20 (a) 50, 45, 40, 35, 30, ….., ….. (a) 1, 4, ….. 20 -3 17 (b) 35, 32, 29, 26, 23, ….., ….. (b) 3, 7, ….. Several different answers you can have 2 ÷2 1 (c) 64, 32, 16, 8, 4, ….., …… (c) 2, 6, ….. (d) 3, 6, ….. ÷5 1 (d) 3125, 625, 125, 25, 5, ….., ….. (e) 4, 8, ….. 16.5 15.8 -0.7 (e) 20, 19.3, 18.6, 17.9, 17.2, ….., …… (f) 5, 15, ….. 0.001 0.01 ÷10 (f) 1000, 100, 10, 1, 0.1, ….., …… 2) Find two terms between each pair of numbers to form a sequence. -5 -3 -8 (g) 10, 7, 4, 1, -2, ….., …… 7 4 (a) 1, ….., ….., 10 6 ÷3 9 (b) 3, ….., ….., 12 10 15 (c) 5, ….., ….., 20 6 8 (d) 4, ….., ….., 10 40 20 (e) 80, ….., ….., 10 35 18 (f) 2, ….., ….., 53

  21. MINI-PLENARY (CATCHPHRASE) 2, 4, 6… 1, 3, 5, 7, … 10, 8, 6, 4, … 5, 7, 9, 11, … 4, 14, 24, … 5, 10, 15,… -7, -9, -11,… 2, 4, 8, 16… 4, 7, 10, 13… 9, 7, 5, 3… 3, 8, 13, 18… 2, 9, 16,… 20, 10, 5, … 7, 5, 3, 1… 4, 6, 8, … 1, 8, 15, 22… 1.5, 3, 4.5, 6… 7, 17, 27… 9, 6, 3,... 3, 9, 27, … 2, 7, 12, 17… 14, 21, 28, … 9, 12, 15… 4, 8, 12, … 6, 12, 18,..

  22. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen • LINK BACK TO OBJECTIVES • Accurately find missing terms in sequences and their respective rules. What level are we working at? DISCOVERY Enterprise Skills Which ones are you using?

  23. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills SEQUENCES Which ones are you using? PLENARY ACTIVITY Match the sequences with their respective names in the box above: Prime Even Fibonacci Multiples of 3 Multiples of 7 Square Odd Cubic Multiples of 5

  24. 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 missing terms in sequences. It can be a skill or a reflection, or something else that might be prominent in your brain.

  25. 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

  26. 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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