In Maths you child will progress from learning to count on and back to quickly forming number sentences with single digits. Then things get a little tricker, 2 digit numbers come into play and instead of being able to count on and back on their fingers they need a new method in their maths toolbox, that is where partitioning comes in. When my eldest was introduced to this concept I hadn’t heard the term before, but as we worked through some problems in his homework I quickly grasped it and understood why it was being introduced and used as a method in schools.

Hands-on mathematics to solve simple addition and subtraction problems with 2-Digits using partitioning and Post-it Notes.

To understand how Partitioning works children have to have an understanding of place value – our Apple Place Value Booklet will help with this as will out place value leaves and the place value game we have. From that understanding, we move to adding and subtracting with two-digit numbers at first. Now in school, you may have seen them using blocks, NumiconĀ or other tools and at the end of this article I have got some resources that you may find useful that you could add to your own resources at home, however, it is an expense so I have a much easier method to share with you today. Our Post-it Note Partitioning which will help with addition and subtraction.

Materials Needed for Post-it Note Partitioning

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Post-it Page Markers

Small Post-it Notes

Square Post-it Notes

Large Rectangle Post-it Notes

Pen or Pencil

I always have a selection of different post-it notes to help with homework, mathematics and for my own use around the house and in my office so I use different colours depending on what I have available at the time.

Preparation Needed for your DIY Partitioning Manipulatives

On the page marker post-it write the number 1 – when your child is starting out with partitioning of numbers you will just need 9 set aside but as they progress to more difficult sums it’s worth setting aside 19 that you can then use to switch out with 10’s when needed.

On the small post-it’s write the number 10 – again set up 9 of these

Hands-on mathematics to solve simple addition and subtraction problems with 2-Digits using partitioning and Post-it Notes.

On the square post-it write the number 100 – although initially you will be only working to 100 it’s worth getting your child used to having 100 there as well.

The rectangle post-its will be the problem pad – all of the number sentences, sums will be written on.

Partitioning the basics

Partitioning is taking a number and dividing it into its different values – e.g. 100’s, 10’s and 1’s. In the UK this is currently called Hundreds, Tens and Ones, when I was growing up it was Hundreds, Tens and Units.

The Number 53 is made up of 5 10’s and 3 One’s – 50 + 3.

Addition with Post-it Partitioning

This method works when your child is first starting out with addition using partitioning – in another post, I will move onto the next phase.

Hands-on mathematics to solve simple addition and subtraction problems with 2-Digits using partitioning and Post-it Notes.

Take the addition problem – e.g. 53 + 16 = ?

Hands-on mathematics to solve simple addition and subtraction problems with 2-Digits using partitioning and Post-it Notes.

With the first number partition it out – 5 10s and 3 1s.

Hands-on mathematics to solve simple addition and subtraction problems with 2-Digits using partitioning and Post-it Notes.

Then the second number – 1 10 and 6 1s.Hands-on mathematics to solve simple addition and subtraction problems with 2-Digits using partitioning and Post-it Notes.

Place these under the respective numbers.

Now combine them – First the ones – 6 1s + 3 1s = 9 1s.

Hands-on mathematics to solve simple addition and subtraction problems with 2-Digits using partitioning and Post-it Notes.

Then the tens – 5 10s plus 1 10 = 6 10s.

Hands-on mathematics to solve simple addition and subtraction problems with 2-Digits using partitioning and Post-it Notes.

So the answer is 6 10s + 9 1s or 60 + 9 so 69.

Subtraction with Post-it Partitioning

Again this method is the beginning method for subtraction it is assumed that no borrowing will be needed.

The subtraction problem example is 78 – 43 = ?

 

Start by partitioning the first number – 78 = 7 10s and 8 1s.

Hands-on mathematics to solve simple addition and subtraction problems with 2-Digits using partitioning and Post-it Notes.

Now take away the 3 1s.Hands-on mathematics to solve simple addition and subtraction problems with 2-Digits using partitioning and Post-it Notes.

Now take away the 4 10s.

Hands-on mathematics to solve simple addition and subtraction problems with 2-Digits using partitioning and Post-it Notes.

Count the remaining post-it notes – 3 tens and 5 ones.

The answer is 35.

Hands-on mathematics to solve simple addition and subtraction problems with 2-Digits using partitioning and Post-it Notes.

Resources you can Purchase to Help with Partitioning Addition and Subtraction

This base ten starter kit from Learning Resources is probably very similar to one that you will see if you look into a Mathematics lesson in the UK where they are working on Place Value or Partitioning problems. It’s used throughout the school from reception through to year 6 where in year 6 it can be a handy tool to help review and get hands-on when panic sets it in the lead on to the end of Key Stage 2 SATS.

These place value chips are worth investing in as they not only work with tens, hundreds, ones but also with decimals so as your child progresses they are handy to have to help solve mathematics homework or understand the work that they are doing in class.


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Hands-on mathematics to solve simple addition and subtraction problems with 2-Digits using partitioning and Post-it Notes.

Author
Cerys Parker

Cerys is a marine biologist, environmental educator, high school teacher and mum. Realising that life doesn't have to be put on hold and you don't just have to survive whilst the kids are young she shares ideas to inspire you to LIVE with the kids, with activities to do together, recipes to cook and enjoy and family travel to make memories to last a lifetime.

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