1. Place value Place value is at the heart of the maths curriculum
Ones instead of units
Game- Place value battle

2. Addition- Column method
Solve… =
Model
Calculations 35
+17 ___ T O 5 2 1
Key vocabulary: exchange
Can we exchange any counters?

3. Addition- Column method
Solve… =
Model
Calculations
243
+368 ____ 10 1
100
100
100
100 10 1 10 10 1 6 1 1 1 1
100 10 1
Key vocabulary: exchange
Can we exchange any counters?

4. Challenge

5. Subtraction- Column method
Solve… =
Model
Calculations 35
-17 ___ T O 1 10 10 10 1 2 1 1 1 1 1 1 1 1 1 1 1 8
Key vocabulary: exchange
Can we exchange any counters?

6. Subtraction- column method
Solve… – 88=
Model
Calculations
234
____ 10 1
100 1 1 2 1
100
100 10 10 10 1 1 1 1 10 10 10 10 1 1 1 1 14 6 10 10 10 10 1 1 1 1 10 10 1 1
Key vocabulary: exchange
Can we exchange any counters?
You try:
345 – 167=
402 – 58=

7. Challenge 2
Solve

8. Multiplication 23 × 6 _ 13 8 Solve… 6 x 23 = Model Calculations 1 1
100 10 1
100 10 1 1 10
100 1 10 1 10 23
× 6 _ 1 10 1 1 10 13 8 1 10 1 10 1 1 1 10

9. Division
Solve… ÷ 5 =
Model
Calculations
5 615 H T O

10. Division
Solve… ÷ 5 =
Model
Calculations
5 615 H T O 1

11. Division
Solve… ÷ 5 =
Model
Calculations
5 615 H T O 1 1

12. Division
Solve… ÷ 5 =
Model
Calculations
5 615 H T O 1 2 1

13. Division
Solve… ÷ 5 =
Model
Calculations
5 615 H T O 12 1 1

14. 12 3 Division 5 615 Solve… 615 ÷ 5 = Model Calculations H T O
5 615 H T O 12 3 1 1
You try:
936 ÷ 4 =

15. Intelligent and varied practice
Variety of questions to support fluency, reasoning and problem solving.
Clear links to a range of concrete and pictorial methods.
Starting with number to develop fluency before linking to other topics.

16. Intelligent and varied practice

17. Conceptual variation ? 3 5 ? 5 3 3 + 5 = Model
Tina has 3 sweets. Bobby has 5 sweets.
How many sweets are there in total? 5 3

18. Fluency, reasoning and problem solving

19. Fluency Practising a strategy in a variety of forms
Children should not just memorise a single procedure- they need to know why they are doing what they are doing and know when it is appropriate to use different methods.
Make connections at the right time in a child’s learning.

20. Fluency with variation
4 x 8 = 32
x 7 = 56 8
x 5 40
40 ÷ 8 = 5 8 8 8
8 x = 0
Worded questions
64 = 8 x
There are 16 daisies. How many pairs can you make?
Find
the
area

21. Reasoning It requires systematic thinking.
Being able to explain a procedure to another.
Being able to create their own problem that works.

22. Reasoning Explain why. Convince me! Odd one out. True or false?
Do you agree?
What do you notice?
Prove it!

23. Problem solving
Engaging with real problems; guessing, discovering, and making sense of mathematics.
Exploring lots of different options.
Using a system or a strategy.
Many answers.

24. Problem solving

25. Reasoning or problem solving?
Year 3:
Using the digit cards in the multiplication below how close can you get to 100?

26. Reasoning or problem solving?
Year 2:
Jamie has 5 silver coins in his hand.
How many different ways can he make £1 or more?

27. Reasoning or problem solving?
Year 1:
A bag is full of digit cards from 1-40 Michelle pulls out a card.
What card could she have pulled out? Is this the only option?
The difference between the digits is 1

28. Useful links http://amathsdictionaryforkids.com/dictionary.html