Sunday, June 26, 2011

Math Work Stations Chapter 6: Place Value

Place Value Chart WITH Arrow

Here is a place value chart I made when I started Year 2 this year. 

This chart is a little different to other ones I see because I've added an arrow in the ones place. 
This helps students when we play games like The Bundling Game and the Trading Game and when it comes to two-digit addition and subtraction with regrouping and trading. 

This is how the arrow helps with addition and subtraction: 

  • The arrow reminds students to start with the ones, while also leaving room in the tens column to place the bundled ten above the existing tens - just like we do when we record addition with regrouping.
  • For example, you tell students an addition story.
  • e.g. The farmer's wife picked 37 apples from their trees while he picked 26. How many apples did they pick altogether? 
  • Lay out 37 sticks, then 26 underneath. You'll have to pretend the 3 lines with a cross through it is bundling sticks (a bundle of 10 icy-pole sticks with a rubber band)- if I was at school I would have taken a photo to show you what I mean!

  • I recommend icy-pole sticks or connecting cubes over Base 10 when introducing this concept as students can 'see' the regrouping - not taking away 10 ones and then adding a long base 10 block.
  • The arrow tells you where to start, so you start by adding ones. Bundle the ten and move it to the tens column. It is placed above the 3 tens since this is where we write the bundled 10 when we record it 
  • When students are ready to record, they will understand why they have to 'put the one up the top' and understand that the '1' is actually 1 ten. It works the same with subtractation (the ten ones go on top of the arrow).
  • I personally always say somethhing like 7 ones and 6 ones is 13 ones. One ten (record in the tens column) and 3 ones (record in ones)
Sorry about the terrible images, I just quickly did something up. 

Get the Chart here - This is the first time I'm trying Google Docs, so please let me know if it doesn't work. 

Keep your eye out for a Place Value pack that I'll be adding to TpT soon - it is about 55 pages so far, and there is still much to go. I've kept the pack very simple - not much colour or graphics (instead print on color paper) to cut down on ink. 

The document is two pages - laminate them together to make a large PV chart  to fit the bundling sticks or connecting cubes. Also see my Tens and Ones Dominoes. 


  1. Thanks for linking up with us! This post is incredible! I'm joliprinting it right now so I can print it out and really study it!

  2. I use the same mat with my class and I found it very effective. It is good to see another teacher using the same technique. :)

    Simply 2nd Resources

  3. Thanks for commenting Becca, I know it's a pretty simple idea but some teachers at my school were really interested when I showed it to them so I thought I'd share it here after I saw the linky party. They were frustrated that their kids were finding it difficult to show addition and subtraction with materials. They worked out it was probably because they were using Base 10 straight away - they were getting confused between taking 10 ones away and replacing it with 1 ten, hence why I recommend linking cubes or bundling sticks. Also, the arrow is just a good prompt for them. Hopefully it will help other teachers!

  4. I love this post!
    Especially the idea of using the arrow on the place value mat. I am yet to make place value mats, and now I am glad because I can put arows on them. What a good idea.
    I am planning to write a post on maths soon and you have inspired me to get to is sooner.
    Keep an eye on my blog: The Learning Curve because I'd like to be able to give you an idea or two in return for this great post!



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