1. Entry Activity
12 Order, add and subtract positive and negative numbers in context
10 a) What is in between -4 and -6 on the thermometer?
8 b) In my classroom the temperature has fallen to -4 degrees.
I put the radiators on and it goes up by 8 degrees. What’s
6 the temperature now?
4
c) In the next classroom the temperature is 6 degrees, the
teacher turns off the radiator and the temperature drops
2
by 9 degrees, what is the temperature?
0 d) In London on Christmas Day last year it was -5 degrees. It
is 30 degrees in Adelaide on the same day. How much
-2 warmer is it in Adelaide?
-4 e) In Bradford on 30th August it was 19 degrees, I was told
that is was 21 degrees colder in the south pole. What
-6
temperature is it there?
f) I have just got off the plane and at my maximum height I
was 7km above group. I am going in a submarine next
week and we are going down under the sea by 1.5km.
What’s the difference in height between my 2 journeys?

2. Entry Activity - Answers
12 Order, add and subtract positive and negative numbers in context
10 a) What is in between -4 and -6 on the thermometer? - 5
8 b) In my classroom the temperature has fallen to -4 degrees.
I put the radiators on and it goes up by 8 degrees. What’s
6 the temperature now? 4 degrees
4
c) In the next classroom the temperature is 6 degrees, the
teacher turns off the radiator and the temperature drops
2
by 9 degrees, what is the temperature? -3 degrees
0 d) In London on Christmas Day last year it was -5 degrees. It
is 30 degrees in Adelaide on the same day. How much
-2 warmer is it in Adelaide? 35 degrees
-4 e) In Bradford on 30th August it was 19 degrees, I was told
that is was 21 degrees colder in the south pole. What
-6
temperature is it there? – 2 degrees
f) I have just got off the plane and at my maximum height I
was 7km above group. I am going in a submarine next
week and we are going down under the sea by 1.5km.
What’s the difference in height between my 2 journeys?
8.5km

3. Today I will learn to:
Express simple functions as function
machines Level 3/4
Calculate the rule when given an input and
output Level 4
Challenge Objective:
To solve mappings problems Level 5
Key Words
Function, Sequence, Generate, Term, Common,
Describe, Input, Output

4. Check:
All will find an output
Most will find a rule from
input and output
Some will find the rule for
double functions when given
an input & output

5. I will find an output

6. I will find an output

7. Level 3
Level 4

8. Level 4

9. Answers
1 a output {7, 8, 11, 14}
b output {2, 3, 6}, input 11
c output {20, 25, 55}, input 8
d output {10, 8, 6}, input 50
2 a add 2
b multiply by 3
c divide by 2 (or halve) 3 a {3, 5, 9}, 19
d multiply by 8 b {3, 6, 9}, 20
c input {5, 10}, output {12, 16}
d input {1, 3, 10}, output 32

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

11. Today I will learn to:
Express simple functions as function
machines Level 3/4
Calculate the rule when given an input and
output Level 4
Challenge Objective:
To solve mappings problems Level 5
Key Words
Function, Sequence, Generate, Term, Common,
Describe, Input, Output

12. Check:
All will find an output
Most will find a rule from
input and output
Some will find the rule for
double functions when given
an input & output

13. Extension Task – Problem Solving
Find at least ten different functions that
have 50 as one of the output numbers
50

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

15. Today I will learn to: Do: Check:
Express simple functions as Write All will find
function machines Level 3/4 functions in
an output
symbol and
Calculate the rule when given an Most will find
mapping
input and output Level 4 a rule from
input and
Challenge Objective: To find the
output
double
To solve mappings function Some will
when given find the rule
problems Level 5 the input and for double
output functions
Key Words when given
Function, Sequence, Generate, Term, an input &
output
Common, Describe, Input, Output

16. Double functions

17. Double functions

18. Level 3

19. Level 4

20. Level 4

21. Answers
1 a 9, 11, 13, 15 b 7, 13, 19, 25 c 9, 12, 15, 18
d 18, 20, 22, 24
2 A variety of diagrams depending on the starting
inputs.
3 a multiply by 2; 18, 20 b subtract 1; 14, 17
c multiply by 4; 15, 19 d add 3; 7, 8
4 a {1, 3, 4, 7} b {2, 3, 5, 8} c {3, 5, 9, 10}

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

23. Today I will learn to:
Express simple functions as function
machines Level 3/4
Calculate the rule when given an input and
output Level 4
Challenge Objective:
To solve mappings problems Level 5
Key Words
Function, Sequence, Generate, Term, Common,
Describe, Input, Output

24. Check:
All will find an output
Most will find a rule from
input and output
Some will find the rule for
double functions when given
an input & output

25. What about when we have an input
and an output with two functions...

26. Level 5

27. Answers
a multiply by 2 → add 1
b multiply by 3 → subtract 1
c multiply by 5 → add 2
d add 3 → multiply by 2 or multiply by 2 → add 6
e add 1 → multiply by 3 or multiply by 3 → add 3
f add 2 → multiply by 5 or multiply by 5 → add
10

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

29. Today I will learn to:
Express simple functions as function
machines Level 3/4
Calculate the rule when given an input and
output Level 4
Challenge Objective:
To solve mappings problems Level 5
Key Words
Function, Sequence, Generate, Term, Common,
Describe, Input, Output

30. Check:
All will find an output
Most will find a rule from
input and output
Some will find the rule for
double functions when given
an input & output

31. Problem Solving - Plenary
I am have decided to enter a running race.
On average I run 1km in 9 minutes.
I want to run the race in under an hour.
I can enter the following races, 5km,
10km, 15km or 20km.
Which race should I enter? Why?

32. Problem Solving - Plenary
The function machine for the problem
Distance Total time
of the taken to
race run
X9