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

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

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

4. STARTER TASK Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? Complete the following pattern: 1 1, 1 2, 1 1, 2, 1, 1 1, 1, 1, 2, 2, 1 3, 1, 2, 2, 1, 1 1, 3, 1, 1, 2, 2, 2, 1 ….., ….., ….., ….., ….., ….., ….., ….., ….., ….. 1 1 1 3 2 1 3 2 1 1

5. Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? Nth Term EXAMPLES Find the nth term of the following sequences and then calculate the 100 th term. a) b) c) d) 3, 7, 11, 15, …2, 9, 16, 23, … 5, 7, 9, 11, … 11, 16, 21, 26, … e)-5, -2, 1, 4, …f)3, 6, 9,12, … +4 Nth term = 4n 100th term = 4x100 -1 100th term = 399 +7 +2 +5 +3 Nth term = 7n-5 100th term = 7x100 - 5 100th term = 695 Nth term = 2n+3 100th term = 2x100 + 3 100th term = 203 Nth term = 5n+ 6 100th term = 5x100 + 6 100th term = 506 Nth term = 3n-8 100th term = 3x100 - 8 100th term = 292 Nth term = 3n 100th term = 3x100 100th term = 300

6. Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? Nth Term QUICK AFL QUESTIONS ON WHITEBOARDS (BEFORE TREASURE HUNT) Find the nth term of the following sequences and then calculate the 100 th term. a) 4, 7, 10, 13, … +3 Nth term = 3n+ 1 100th term = 3x100 +1 100th term = 301 b) 2, 8, 14, 20, … +6 Nth term = 6n-4 100th term = 6x100 -4 100th term = 596 c) -8, -3, 2, 7, … +5 Nth term = 5n-13 100th term = 5x100 -13 100th term = 487

7. Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? TASK – TREASURE HUNT (Level 6) Nth Term

8. Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? TASK (Level 6) Nth Term

9. Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? TASK (Level 6) Nth Term

10. Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? EXTENSION (Level 7) Find the nth term for the following sequences: 1) (a) 1, 4, 9, 16, 25, … Nth Term (b) 1, 8, 27, 64, … (c) 1, 3, 6, 10, 15, … Square Numbers n 2 Cube Numbers n 3 Triangle Numbers

11. Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? MINI-PLENARY ACTIVITY STAND UP → TRUE SIT DOWN → FALSE Nth Term

12. Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? MINI-PLENARY ACTIVITY STAND UP → TRUE SIT DOWN → FALSE Nth Term

13. Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? MINI-PLENARY ACTIVITY STAND UP → TRUE SIT DOWN → FALSE Nth Term

14. Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? MINI-PLENARY ACTIVITY STAND UP → TRUE SIT DOWN → FALSE Nth Term

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

16. SEQUENCES Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? PLENARY ACTIVITY TASK (LEVEL 6) Find the nth term for the number of matchsticks EXTENSION (LEVEL 6) How many matchsticks will there be in the 50 th pattern? 47 10 13 3n + 1 3 x 50 + 1 =151 Replace n with 50

17. Draw your brain What have you learnt? In your brain, write or draw everything you can remember about finding the nth term. It can be a skill or a reflection, or something else that might be prominent in your brain. What level are we working at? Where are we in our journey?

18. . 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

19. 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