Which ones are you using?

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

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

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker 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 (b) 11, 20, 29, 38, ….. 47 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: (a) M, T, W, T, F, ….. S 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 3

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker 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) 4

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

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

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

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

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

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

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

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

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

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker 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 14

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

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

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

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

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

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

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,..

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

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

Where are we in our journey? What level are we working at? 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. Where are we in our journey? What level are we working at?

Creative Entrepreneur Positive Thinker Creative Entrepreneur SELF ASSESSMENT Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills Which ones are you using? Plenary Activity How well do you understand the task? . I don’t understand I nearly understand I fully understand www.mistrymaths.co.uk

Creative Entrepreneur Positive Thinker Creative Entrepreneur SELF ASSESSMENT Independent Learner Reflective Learner Responsible Citizen Team Worker 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