The document introduces multiples and divisibility tests. It provides examples of multiples of 6 and shows how to check if a number is a multiple of another using division. Students are asked to match number sequences to their multiples and learn to calculate outcomes from functions. The objectives are to find outputs from given functions and find functions based on inputs and outputs. Students are challenged to design their own functions.

1. Entry Activity
Recognise multiples and use simple tests of divisibility
What’s a multiple?
Write down the 1st five multiples of 6...
6, 12, 18, 24, 30
How can we check if something is a multiple?
Is 32 a multiple of 8?
32 ÷ 8 = 4 so yes it is!

2. Match the multiple to the sequence
10
10, 15, 20, 25, 30, 35
5
10, 20, 30, 40, 50
2
4, 8, 12, 16, 20, 24 25
20
8, 16, 24, 32, 40, 48
16
20, 40, 60, 80, 100 8
4

3. Match the multiple to the sequence
10
10, 15, 20, 25, 30, 35
5
10, 20, 30, 40, 50
2
4, 8, 12, 16, 20, 24 25
20
8, 16, 24, 32, 40, 48
16
20, 40, 60, 80, 100 8
4

4. Match the multiple to the sequence
10
10, 15, 20, 25, 30, 35
5
10, 20, 30, 40, 50
2
4, 8, 12, 16, 20, 24 25
20
8, 16, 24, 32, 40, 48
16
20, 40, 60, 80, 100 8
4

5. Match the multiple to the sequence
10
10, 15, 20, 25, 30, 35
5
10, 20, 30, 40, 50
2
4, 8, 12, 16, 20, 24 25
20
8, 16, 24, 32, 40, 48
16
20, 40, 60, 80, 100 8
4

6. Match the multiple to the sequence
10
10, 15, 20, 25, 30, 35
5
10, 20, 30, 40, 50
2
4, 8, 12, 16, 20, 24 25
20
8, 16, 24, 32, 40, 48
16
20, 40, 60, 80, 100 8
4

7. Match the multiple to the sequence
10
10, 15, 20, 25, 30, 35
5
10, 20, 30, 40, 50
2
4, 8, 12, 16, 20, 24 25
20
8, 16, 24, 32, 40, 48
16
20, 40, 60, 80, 100 8
4

8. Today I will learn to:
Calculate an outcome from a function
Level 4
Calculate the function Level 4
Challenge Objective:
To design a function Level 5
Key Words
Function, Sequence, Generate, Term, Common,
Describe, Input, Output

9. Check:
All will find an output from a
function
Most will find the function
when given the input and
output
Some will design their own
functions

10. What’s the output?

11. What’s the function?
?
12
13
14
15

12. What’s the function?
?
0
1
2
3

13. What’s the function?
?
4
6
8
10

14. Today I will learn to:
Calculate an outcome from a function
Level 4
Calculate the function Level 4
Challenge Objective:
To design a function Level 5
Key Words
Function, Sequence, Generate, Term, Common,
Describe, Input, Output

15. Check:
All will find an output from a
function
Most will find the function
when given the input and
output
Some will design their own
functions

16. Level 4

17. Level 4

18. Answers
1 a {7, 8, 12, 15} b {12, 15, 24, 33} c {12, 24, 30, 42}
d {2, 6, 11, 17}
2 a n+5 b n–2 c n÷2 d n×8
3 a n+7 b n×5 c n–1 d n×4 e n÷3
f n + 5 g n × 10 h n – 3
4 Diagrams will depend on their starting numbers.
Encourage the pupils to use simple but different
starting sets.

19. Using your planners show me how you
found this
  

20. Today I will learn to:
Calculate an outcome from a function
Level 4
Calculate the function Level 4
Challenge Objective:
To design a function Level 5
Key Words
Function, Sequence, Generate, Term, Common,
Describe, Input, Output

21. Check:
All will find an output from a
function
Most will find the function
when given the input and
output
Some will design their own
functions

22. Level 5 – Extension Activity

23. Using your planners show me how you
found this
  

24. Today I will learn to:
Calculate an outcome from a function
Level 4
Calculate the function Level 4
Challenge Objective:
To design a function Level 5
Key Words
Function, Sequence, Generate, Term, Common,
Describe, Input, Output

25. Check:
All will find an output from a
function
Most will find the function
when given the input and
output
Some will design their own
functions

26. Plenary
www…ebi
what went well … even better if