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Which ones are you using?

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:

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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 the Highest Common Factor (HCF) and Lowest Common Multiple (LCM). (Levels 6-7) 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 Place the numbers 1,2,3,4,5,6 and 7 into the circle once so that each straight line of three numbers adds up to the same total. 6 3 7 should be in the middle. Total = 14 5 2 7 4 1

  4. 2 3 4 5 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

  5. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen STARTER Enterprise Skills Which ones are you using? TASK (Each person has a number from 1-30) Stand up if you are: • A multiple of 3 • A factor of 15 • A multiple of 7 • A factor of 16 • A multiple of 5 • A square number • A cube number EXTENSION 5 “What factors of 85 can you see easily?” “What number is 96 obviously divisible by?” “What number is 70 obviously a multiple of?” 2 10

  6. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen HCF and LCM Enterprise Skills Which ones are you using? EXAMPLES 1) Find the Lowest Common Multiple (LCM) of the following pairs of numbers: (a) (b) 3 and 7 6 and 9 Write out the multiples of 6 and 9 and circle the lowest common one Write out the multiples of 3 and 7 and circle the lowest common one 6 → 3 → 6, 12, 18, 24 ... 3, 6, 9, 12, 15, 18, 21, 24 … 9 → 7 → 9, 18, 27, 36 … 7, 14, 21, 28 … LCM = 18 LCM = 21 2) Find the Highest Common Factor (HCF) of the following pairs of numbers: (a) (b) 15 and 21 16 and 24 Write out the factors of 16 and 24 and circle the highest common one Write out the factors of 15 and 21 and circle the highest common one 16 → 15 → 1, 2, 4, 8, 16 1, 3, 5, 15 24 → 21 → 1, 2, 3, 4, 6, 8, 12, 24 1, 3, 7, 21 HCF = 8 HCF = 3

  7. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen HCF and LCM Enterprise Skills Which ones are you using? TASK (LEVEL 6) 1) Collect the joke: 3rd 6th 1st 7th 2nd 4th 8th 5th EXTENSION (LEVEL 7) 1) (a) Two numbers have an LCM of 24 and a HCF of 2. What are they? (b) Two numbers have an LCM of 18 and a HCF of 3. What are they? (c) Two numbers have an LCM of 60 and a HCF of 5. What are they?

  8. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen HCF and LCM GAME Enterprise Skills Which ones are you using?

  9. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen • LINK BACK TO OBJECTIVES • Accurately find the Highest Common Factor (HCF) and Lowest Common Multiple (LCM). What level are we working at? DISCOVERY Enterprise Skills Which ones are you using?

  10. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills Which ones are you using? PLENARY ACTIVITY Mark each question as either TRUE or FALSE. Drag each question into the bath of truth to reveal the answer. DO NOT BRING UP SLIDE SHOW . 1) HCF of 17 and 12 = 1 TRUE 2) LCM of 3 and 6 = 12 FALSE 4) HCF of 36 and 44 = 9 FALSE 3) LCM of 12 and 18 = 36 TRUE

  11. 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 LCM and HCF. It can be a skill or a reflection, or something else that might be prominent in your brain.

  12. 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

  13. 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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