Which ones are you using?

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 nth term of a number sequence. (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: Sequence Term Difference 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 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 2 3 1 1 3 1 2 1 ….. , ….. , ….. , ….. , ….. , ….. , ….. , ….. , ….. , …..

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

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 (BEFORE TREASURE HUNT) Find the nth term of the following sequences and then calculate the 100th term. a) b) c) 4, 7, 10, 13, … 2, 8, 14, 20, … -8, -3, 2, 7, … +3 +5 +6 +3 +6 +5 +6 +5 +3 Nth term = 3n + 1 Nth term = 6n -4 Nth term = 5n -13 100th term = 3x100 +1 100th term = 6x100 -4 100th term = 5x100 -13 100th term = 301 100th term = 596 100th term = 487

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

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

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

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

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

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

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

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

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

16. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills SEQUENCES Which ones are you using? PLENARY ACTIVITY 10 4 7 13 TASK (LEVEL 6) Find the nth term for the number of matchsticks 3n + 1 EXTENSION (LEVEL 6) How many matchsticks will there be in the 50th pattern? 3 x 50 + 1 =151 Replace n with 50

17. 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 nth term. It can be a skill or a reflection, or something else that might be prominent in your brain.

18. 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

19. 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