Bar Model — 1 + 1 = 2 — free printable diagram

Free maths resource for teachers · CC BY-NC 4.0

Bar Model — 1 + 1 = 2

About this illustration

Part-part-whole bar model showing the whole 2 split into two parts 1 (blue) and 1 (amber). Singapore math style for teaching addition, subtraction, problem solving.

What is 1 + 1?

This part-whole bar model shows 1 and 1 as the two parts of one whole. Adding the parts gives the whole, so 1 + 1 = 2.

First part
1
Second part
1
Whole
2
Addition
1 + 1 = 2
Subtraction
2 − 1 = 1
  • 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 1 and 1, and together they fill the whole bar of 2.
  • Both parts are the same size, so this is a doubling fact: double 1 is 2.
  • Reading it backwards gives the matching halving fact: 2 split into two equal parts is 1 each, so 2 ÷ 2 = 1.
  • That is the fact family for these three numbers — the model is the reason 1, 1 and 2 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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