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 Highest Common Factor (HCF) and Lowest Common Multiple (LCM). (Levels 6 -7) 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? 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 2 3 5 7 4 7 should be in the middle. 1 Total = 14

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

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

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

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner HCF and LCM TASK (LEVEL 6) Responsible Citizen Which ones are you using? Enterprise Skills 1)Collect the joke: 3 rd 6 th 7 th 1 st 2 nd 4 th 5 th Team Worker 8 th 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?

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

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 Highest Common Factor (HCF) and Lowest Common Multiple (LCM). What level are we working at?

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

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. 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?