Bar Model — 6 + 6 = 12 — free printable diagram

Free maths resource for teachers · CC BY-NC 4.0

Bar Model — 6 + 6 = 12

About this illustration

Part-part-whole bar model showing the whole 12 split into two parts 6 (blue) and 6 (amber). Singapore math style for teaching addition, subtraction, problem solving.

What is 6 + 6?

This part-whole bar model shows 6 and 6 as the two parts of one whole. Adding the parts gives the whole, so 6 + 6 = 12.

First part
6
Second part
6
Whole
12
Addition
6 + 6 = 12
Subtraction
12 − 6 = 6
  • 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 6 and 6, and together they fill the whole bar of 12.
  • Both parts are the same size, so this is a doubling fact: double 6 is 12.
  • Reading it backwards gives the matching halving fact: 12 split into two equal parts is 6 each, so 12 ÷ 2 = 6.
  • That is the fact family for these three numbers — the model is the reason 6, 6 and 12 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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