1. Mathematics 6 November 2013

2. Areas of mathematics
Numbers and the number system, including calculating and, eventually, algebra
Using and applying mathematics
Shape, space and measure
Data handling

3. Early number Patterns Object counting Reading symbols Vocabulary
Count the teddies. Count the cups.
Does each teddy have a drink?
How many more cups do we need?
Patterns
Object counting
Reading symbols
Vocabulary
Number games
Discovery
Fun!

4. Key number knowledge Secure place value Halves and doubles
Number bonds within 10, 20, 100 …
Understanding inverse ( x ÷)
Times tables
Related division facts
Partition and recombine

5. Supporting mental calculation
Near doubles, eg: =
Step counting, eg: 2, 4, 6, 8, 10
Bridging up through 10, eg:
Bridging down through 10, eg:
Inverse properties, relationships
eg: , 48 – 36, 48 – 12
7 x 8 = 56, 56 ¸ 8 = 7, 56 ¸ 7 = 8

6. Number Lines Numbered line Partly numbered line Empty number lines
Partly numbered line
Empty number lines

7. 63 – 27

8. 63 – 27 = ? +3

10. The importance of ‘value’ (and ‘place value’)

11. The importance of the Place Holder
… a most important digit?
Why?

12. Partitioning 8 = 5 + 3 or 6 + 2 or 4 + 4 17 63 10 + 7 3 + 60 20 + 43
= = 7
= 67

13. Partitioning
73 – 31
70 – 30 = – 1 = 2
so the answer is ?

14. Partitioning to add (expanded addition)
th h t u th h t u
= 7521

15. and Subtract (expanded decomposition)
6493 – 1028 th h t u th h t u = 5465

16. Compact Addition and Subtraction
= – 1028 =
th h t u
th h t u

17. Division and multiplication
Division and multiplication are inverse operations, so if you know your times-tables, division is not that hard.
72 ÷ 3 means how many groups of 3 are there in 72?
The answer can be found by chunking along a number line:
10x3 10x
All together, it took 24 jumps of 3 to get to 72 so 72 ÷ 3 =24
So, 24 x 3 = ? x 24 = ?

18. Compact chunking (2 steps)
172 ¸ The Key:
2 x 4 = 8
x 4 = 20
(35 groups of 4) x 4 = 40
x 4 = 80
( 8 groups of 4) x 4 = 120
x 4 = 140
8 x 4 = 32
We needed 43 lots of 4 to get to 0, so 172 ¸ 4 = 43
We also now know that 4 x 43 = 172 and 43 x 4 = 172

19. Leading to short division

20. Grid mutiplication 342 x 7

21. Maths at home Fun games to reinforce key skills, problem solving, strategic thinking and quick mental maths:
Snakes and ladders
Rummikub
Yahtzee
Triominoes
Playing cards
Monopoly
Mancala
Math magic
Tantrix
Blokus
Shut the box
Chess
Smath
Mathdice Jr.
Also, ask your teacher if they have maths games you can borrow,
or simply search Amazon etc for ‘maths games for children’.

22. Useful websites www.topmarks.co.uk/parents/numbers.aspx