1. Mrs Laura Love and Miss Trudy Sumner
Maths Mastery
an insight into
maths learning
at home and school
Mrs Laura Love and Miss Trudy Sumner
February 2017

2. This afternoons workshop...
1. Introduction
2. Maths you can help with at home
3. Maths Mastery in school
4. Resources
5. Questions
6. Feedback

3. Ideas for
Patterns and Shape
2D and 3D
mirror games
shape pictures
I spy...
language
Out & About
mosaics
directions
hat game

4. Maths
out &
about!

5. Using and Applying Maths
Ideas for
Using and Applying Maths
problems
Why???
money
puzzles
WOULD YOU RATHER?

6. Ideas for
Measuring
timer
photo diary
cooking!
clocks

7. Ideas for
Handling Data
questionnaires
sorting toys

8. Ideas for
Calculating
Number Facts
Number
Counting Items
Games
Maths Karate
Dominoes
Cards
Games Online
TRUE or FALSE?
Calculators

9. Build it
Draw it
Write it

11. Numbers to 10
Children experience, explore and ultimately learn every number bond up to 10 and then use this knowledge to calculate beyond 10.

12. Comparing Numbers
Estimation allows children to compare small and large numbers.

13. Subitising
‘Children need concrete experience of physically manipulating groups of objects into sub-groups and combining small groups to make a larger group. After these essential experiences more static materials such as 'dot cards' become very useful.’
Subitising is an essential part of developing number sense in early years children by helping them to relate numbers to actual items or groups of items

14. Part-part whole

16. Numicon Numbers are abstract - Numicon is real
Patterns encourage mathematical thinking
Children are good at patterns so it uses this strength
Children deal with whole numbers so they 'calculate' (not count) with confidence

17. Ten Frames

18. Bar Modelling

20. How to...
the basics
Recognise, read and write numbers 0 to 10 1 2 3 4 5 6 7 8 9 10
1, 2, 3, 4, 5, 6 … there are 6 teddies
Count reliably up to 10 everyday objects
Count in ones and tens and steps in between.
Numbers in order 40 8
Partition a number and recombine it

21. How to... addition and makes 5 5 + 5 = 10 3 + 2 = 5 6 + 4 = 10
Begin to relate addition to combining two groups of objects
and
makes 5
Count along a number line to add numbers together
3 + 2 = 5
Begin to use the + and = signs to record mental calculations in a number sentence
6 + 4 = 10
Know doubles of numbers
= 10

22. Know by heart all pairs of numbers with a total of 10 and 20
How to...
addition
Know by heart all pairs of numbers with a total of 10 and 20 1 9 2 8 3 7 4 6 5 + 2 = 3 1
Know that addition can be done in any order 1 + 2 = 3

23. How to... addition 30 6 40 8 15 + 13 = 28 40 + 30 + 8 + 6 48 + 36 = 84
Adding two two-digit numbers (without bridging)
Counting in tens and ones
Partitioning and recombining
= 28
Adding two two-digit numbers (bridging through tens boundary)
Using a number line OR
Using place value cards and place value apparatus to partition numbers and recombine 30 6 40 8
= 70
8 + 6 = 14
= 84
= 84

24. How to...
subtraction
Ten green bottles hanging on the wall …
Begin to count backwards in familiar contexts such as number rhymes or stories
Five fat sausages frying in a pan …
Continue the count back in ones from any given number 7 8 9 10 ,
...
Three teddies take away two teddies leaves one teddy
Begin to relate subtraction to ‘ taking away ’

25. Find one less than a number
How to...
subtraction
Find one less than a number
Count back in tens

26. How to... subtraction 20 3 43 – 23 = 43 – 43 – 20 = 23 23 – 3 = 20
If I take away four shells there are six left
Count backwards along a number line to ‘ take away
Know by heart subtraction facts for numbers up to 10 and 20
43 –
43 – 20 = 23
23 – 3 = 20 20 3
Partition the number to be subtracted (no exchanging)
43 – 23 =

27. How to...
subtraction
Begin to find the difference by counting up from the smallest number
Subtract 10 from a two-digit number
Decide whether to count on or count back
= 47

28. Know doubles and corresponding halves
How to...
multiplication
Count in tens from zero 20 30 40 50 10
Count in twos from zero 8 6 4 2 10
Know doubles and corresponding halves

29. How to... multiplication 2 2 2 2 + 2 4 x 4 2 x 2 + 2 + 2 + 2 = 8
Understand multiplication as repeated addition +
= 8
4 x 2 = 8
2 multiplied by 4
4 lots of 2
2 4 x x
4 2
Understand multiplication as an array

30. How to... division If 2 x 10 = 20 then 20  10 = 2 20  2 = 10
Count back in twos, fives and tens 30 20 10
If 2 x 10 = 20
then
20  10 = 2
20  2 = 10
Know halves
Half of 6 is 3
½ of 6 = 3
Use known multiplication facts to work out corresponding division facts
Understand division as sharing

31. Understand division as grouping
How to...
division
Understand division as grouping
18 divided into groups of 3
18  3 = 6
Represent ‘groups’ for division on a number line using apparatus alongside the line 3 6 9 12 15 18