What does partitioning mean in maths?

Partitioning means splitting a number into its parts, usually hundreds, tens and units. So 342 becomes 300, 40 and 2. It helps a child see how numbers are built, which makes adding and subtracting easier.

How do I teach place value at home?

Start with real objects your child can group into tens and ones, then move to writing the numbers down. Ask what each digit is worth. In 56, the 5 is worth fifty, not five. Keep the numbers small at first, then build up.

Why is partitioning useful?

It makes bigger sums less daunting. Once a child can break a number into hundreds, tens and units, they can work on each part on its own, then put it back together. It is the thinking behind most written methods.

How Do They Teach Addition At School? (F2 / Yr 1)

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Home Advice and tips

Advice and Tips Type Maths Free Teaching Resources Subject Maths Age 3 to 5 Years Old 5 to 7 Years Old Key Stages Early Years Foundation Stage Key Stage 1

Numeracy in schools is taught very differently to how it was taught when I went to school. The focus is now on understanding the number system and the value of each digit. The column method of addition (the quick, carrying numbers way) is not taught in many schools now until year 4 or 5. Bear in mind, the ability of the child does impact on the methods taught and the pace at which they are taught them. Not all schools follow the exact same format.

So what do children learn at school and how?

In Foundation 2 / Year 1 children begin by learning to count to 10 / 20. Once they are secure with this they will begin to find 1 more and 1 less. This then leads onto many practical ways of adding and subtracting numbers to 10 / 20.

As children progress they will begin to partition numbers i.e. splitting digits up into what their value is, 12 = 10 +2. Children are encouraged to partition numbers to 20 and then recombine. They can also be asked to find the missing value e.g. 15 = 10 + _. Children will also be given the opportunity to group numbers and partition practically in a variety of ways e.g they may be given 15 cubes and asked to make a group of 10 and a group of 5.

Children can then partition and find the value of numbers up to 20 / 30, depending on the childs ability and understanding. Alongside this, they will also be learning to add and subtract single digit numbers and/or double and single digit numbers e.g 8+2 =, 14 + 3 =, 10 - 3 =, 19 - 5 =. This will be done practically and by writing number sentences.

Number Bonds

It is very important to teach children their number bonds to 10 and then to 20. Knowing the number bonds to 10 will help children add and subtract numbers mentally quickly.

What are number bonds?

Number bonds to 10 are the numbers that when added together make 10.

Here are the number bonds to 10:
1 + 9 = 10
2 + 8 = 10
3 + 7 = 10
4 + 6 = 10
5 + 5 = 10
6 + 4 = 10
7 + 3 = 10
8 + 2 = 10
9 + 1 = 10
0 + 10 = 10

Children are taught these practically, through the use of flashcards and by asking them orally. As they develop confidence, numbers are missed out for the children to fill in e.g 2 + _ = 10.

Join Teach My Kids and gain access to Maths worksheets that work through the methods taught at school, clearly explained and with examples.

You Might Also Like To Read:

How To Add and Subtract , Key Stage 1, Key Stage 2 Quick Guide

Free Worksheet - Number Bonds to 10

Free Worksheet - How Many More? KS1 Counting on

Free Worksheet and Activities - Place Value Cards for Making Numbers and Partitioning

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What does partitioning mean in maths?: Partitioning means splitting a number into its parts, usually hundreds, tens and units. So 342 becomes 300, 40 and 2. It helps a child see how numbers are built, which makes adding and subtracting easier.
How do I teach place value at home?: Start with real objects your child can group into tens and ones, then move to writing the numbers down. Ask what each digit is worth. In 56, the 5 is worth fifty, not five. Keep the numbers small at first, then build up.
Why is partitioning useful?: It makes bigger sums less daunting. Once a child can break a number into hundreds, tens and units, they can work on each part on its own, then put it back together. It is the thinking behind most written methods.

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How Do They Teach Addition At School? (F2 / Yr 1)