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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

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


Which ones are you using

Team Worker

Positive Thinker

Creative Entrepreneur

Independent Learner

Reflective Learner

Responsible Citizen

LEARNING JOURNEY

Enterprise Skills

Which ones are you using?


Which ones are you using

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


Which ones are you using

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


Which ones are you using

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


Which ones are you using

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


Which ones are you using

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?


Which ones are you using

Team Worker

Positive Thinker

Creative Entrepreneur

Independent Learner

Reflective Learner

Responsible Citizen

HCF and LCM GAME

Enterprise Skills

Which ones are you using?


Which ones are you using

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?


Which ones are you using

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


Which ones are you using

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.


Which ones are you using

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


Which ones are you using

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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