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 nth term of a number sequence. (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: QECUSEEN Sequence REMT Term CIFERFNEED Difference EXTENSION Develop your own Mathematical anagrams as above as a creative entrepreneur.

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

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

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

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

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

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

Positive Thinker Creative Entrepreneur Enterprise Skills Independent Learner Nth Term Reflective Learner Responsible Citizen 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 n 2 (b) 1, 8, 27, 64, … Cube Numbers n 3 (c) 1, 3, 6, 10, 15, … Triangle Numbers Team Worker

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

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

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

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

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 nth term of a number sequence. What level are we working at?

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

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. 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?