Bar Model — 5 + 5 = 10 — free printable diagram

Free maths resource for teachers · CC BY-NC 4.0

Bar Model — 5 + 5 = 10

About this illustration

Part-part-whole bar model showing the whole 10 split into two parts 5 (blue) and 5 (amber). Singapore math style for teaching addition, subtraction, problem solving.

What is 5 + 5?

This part-whole bar model shows 5 and 5 as the two parts of one whole. Adding the parts gives the whole, so 5 + 5 = 10.

First part
5
Second part
5
Whole
10
Addition
5 + 5 = 10
Subtraction
10 − 5 = 5
  • A part-whole bar model shows the whole on one bar and the parts that make it on the bar underneath. Here the two parts are 5 and 5, and together they fill the whole bar of 10.
  • Both parts are the same size, so this is a doubling fact: double 5 is 10.
  • Reading it backwards gives the matching halving fact: 10 split into two equal parts is 5 each, so 10 ÷ 2 = 5.
  • That is the fact family for these three numbers — the model is the reason 5, 5 and 10 belong together, whichever way round you write them.

How to use

  1. 1Right-click the image and choose “Save image as”, or use the download button.
  2. 2Use it in your classroom worksheets, slides or printables — free under CC BY-NC 4.0.
  3. 3Attribute as “Image by Kuraplan” or link back to kuraplan.com. Not for commercial resale.

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