Bar Model — 9 + 9 = 18 — free printable diagram

Free maths resource for teachers · CC BY-NC 4.0

Bar Model — 9 + 9 = 18

About this illustration

Part-part-whole bar model showing the whole 18 split into two parts 9 (blue) and 9 (amber). Singapore math style for teaching addition, subtraction, problem solving.

What is 9 + 9?

This part-whole bar model shows 9 and 9 as the two parts of one whole. Adding the parts gives the whole, so 9 + 9 = 18.

First part
9
Second part
9
Whole
18
Addition
9 + 9 = 18
Subtraction
18 − 9 = 9
  • 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 9 and 9, and together they fill the whole bar of 18.
  • Both parts are the same size, so this is a doubling fact: double 9 is 18.
  • Reading it backwards gives the matching halving fact: 18 split into two equal parts is 9 each, so 18 ÷ 2 = 9.
  • That is the fact family for these three numbers — the model is the reason 9, 9 and 18 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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