Maths – The strategies we use in school Calculation

The 4 strands of Maths Number Shape, Space and Measures Data Handling Using and Applying Maths Using and Applying Maths occurs in all 3 other strands, as well as in other lessons, such as Science.

Number We are going to focus solely number. The four operations (+, -, x and ÷) We are going to talk you through methods we teach children to use to add, subtract, multiply and divide and how build on each stage.

The Four Operations The four operations in calculations are grouped into Adding and Multiplying – where the answer gets bigger Subtracting and dividing – where the answer gets smaller

Early Years Counting Count reliably to 20 Count backwards from 10

Number Recognition Recognise numbers to 20 Order numbers to 20

Calculation One more and one less than a given number Add and subtract two single digit numbers practically

Number Lines We use number lines in all four operations. We start with numbered lines like this one –

Adding We then move on to using number lines and counting up in ones =

Partitioning Next we learn to partition – splitting the number into tens and units – to add. What is ? TU = = =86

Adding by Partitioning Now we can add by partitioning – =

Adding by Partitioning Or by rounding then adjusting, taking it to the nearest 10 and then subtracting (rounding and adjusting)

Column Addition Finally, we move on to adding in columns, using place value. HTUThHTU and

Multiplying Now we use the number line for repeated addition. 4 x 5 is the same as = 20 I have four 5p coins, how much is that? p 10p 15p 20p

The Grid Method We can partition to multiply using a grid, like this, this looks more complicated than it actually is – 72 x 38 =

Column Method for multiplication 4346 x

Subtracting We begin by ‘taking away’, ‘counting back’ and seeing ‘how many left.’ We have 6 teddies in the shop. We sold 2. How many teddies are left?

Subtracting (number lines) We can use a number line to count back. 22 – 7 =

Subtracting (number lines) In Key Stage 2, we count UP the number line to find the difference. What is the difference between 34 and 72?

Subtracting with ‘exchanging’ Th H T U

Dividing Division starts with practical sharing of objects again - If I share my 9 sweets between 3 people, how many do they each get?

Division with number lines Number lines are also used to count up in division. A baker bakes 24 buns. She puts 6 in every box. How many boxes can she fill? x1 x2 x3 x

Division with remainders Finally, we can jump in groups and record remainders on the number line. What is 42 divided by 4? 10 groups (Remainders) x

SATs KS1 Typical questions:

Key Stage 2 SATs Key Stage 2 SATS are held in May. These are statutory, externally marked tests. The children sit three papers: Paper A-non-calculator paper Paper B-calculator paper Mental arithmetic paper The paper assesses children working between level 3 and level 5. Children will receive a test mark and a teacher assessment. A minority of children will be entered for the level 6 test.

Key Stage 2 SATs Sample Questions:

Key Stage 2 SATs Sample Questions:

Extra support for Numeracy EYS and KS1 – Numicon

Key Stage 2 Booster programme Linked to numeracy lessons Targeted at children who, with support, will reach level 4 Sessions run three times a week for 30 minutes

Year 4 Mental/Oral Starter Activities

Cracking Times Tables Is a scheme designed to support high standards in mathematics Is a consistent approach to learning and testing tables across the school Is based on a series of levels that the children work through at their own pace Is motivating to children. They receive certificates for each level achieved