1. Keeping up with the Kids in Maths – KS1

2. Session 1 – What is Mastery? Multiplication, Division and Fractions

3. Aims of today
To understand how we have changed the way we teach maths using the New National Curriculum
To learn how this relates to teaching about multiplication, division and fractions
Give you some ideas of how you can help your child at home

4. Maths is often abstract
Maths is often abstract. We help the children to understand the abstract.
This is reflected in our school calculation policies
(you have one to take home).
This will go through everything we do – the number system we are talking about today and then addition, subtraction, multiplication, division and fractions other weeks.

5. Counting in steps of two, three and five from 0
This is a precursor to learning times tables
It is needed for both multiplication and division.
Practice at home with your child counting in twos and fives at first, then try threes.

6. Counting in steps of two, three and five from 0
Put into real-life context by using: (concrete)
Use a number line to show (pictorial)

7. Counting in tens
As seen previously this will help develop an understanding of place value and the part it can play in multiplication or division.
10 x 3 = 30
30 ÷ 10 = 3

8. Doubling and halving
Multiplication and division will be taught alongside each other just like addition and subtraction to emphasis the relationship between them.
Doubling links to multiplication, halving to division. They are two sides of the same coin.
The child are often told that they undo one-another.
They are inverse operations

9. The most important word in multiplication, division and fractions is
Doubling and halving 3 8
The most important word in multiplication, division and fractions is
equal

10. Division by sharing
Not the method used in later calculations

11. Division by grouping 10 ÷ 2 = Use a number line to calculate 45 ÷ 5 =
Use a number line to calculate 45 ÷ 5 =

12. Multiplication by repeated addition
This is the inverse of grouping
3 x 3 = 9
= 15
5 x 3 = 15
Use a number line to calculate 4 x 3 =

13. Linking multiplication to division by using arrays

14. Linking multiplication to division by using arrays15 5 15 3 15 3 5
15 ÷ 3 = x 5 = 15
15 ÷ 5 = x 3 = 15

15. Division with remainders
13 ÷ 4 =  
23 ÷ 3 =  
Show this on a number line 

16. Fractions
Year 1
recognise, find and name a half as one of two equal parts of an object, shape or quantity
recognise, find and name a quarter as one of four equal parts of an object, shape or quantity.
Year 2
recognise, find, name and write fractions 1/3, ¼, 2/4 and ¾ of a length, shape, set of objects or quantity
write simple fractions for example ½ of 6 = 3 and recognise the equivalence of 2/4 and ½ .
meet ¾ as the first example of a non-unit fraction.
count in fractions up to 10, starting from any number

17. Fractions We have already covered finding half.
Doubling is finding the whole when you know the fraction half.
This can be used for other fractions to deepen understanding -

18. Fractions of shapes or objects
Easy to put in real life context but needs to be varied not always pizza or cake. Important – equal parts

19. Fractions of quantities
Easy to link to the part-part-whole model Important – equal parts 3 6 3 12 3 6
whole 3
halves
quarters

20. Fractions of quantities
If 2 is a quarter, what is the whole? 2
whole
halves
quarters

21. Counting in Fractions

22. Reasoning and Problem Solving
How would you help your child?

23. Reasoning and Problem Solving

24. How to help at home
Practise counting in ones, tens, twos, fives, threes (backwards and forwards)
Once they can do this practise times tables
Practise counting on in halves, quarters or thirds
Use everyday events to link to multiplication and division – making ice lollies, cakes, ice cubes
Use concrete objects e.g. different denomination coins or grapes, raisins, cubes
Draw pictures or ideas from the calculation policy to help them understand

25. Next week multiplication, division and fractions
Thank you
Any questions?
Next week multiplication, division and fractions