Bar Model — 1 + 3 = 4 — free printable diagram

Free maths resource for teachers · CC BY-NC 4.0

Bar Model — 1 + 3 = 4

About this illustration

Part-part-whole bar model showing the whole 4 split into two parts 1 (blue) and 3 (amber). Singapore math style for teaching addition, subtraction, problem solving.

What is 1 + 3?

This part-whole bar model shows 1 and 3 as the two parts of one whole. Adding the parts gives the whole, so 1 + 3 = 4.

First part
1
Second part
3
Whole
4
Addition
1 + 3 = 4
Subtraction
4 − 1 = 3
  • 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 3, and together they fill the whole bar of 4.
  • The parts can be added in either order — swapping them does not change the whole: 1 + 3 = 3 + 1 = 4.
  • Covering up one part turns the same picture into a subtraction: 4 − 1 = 3 and 4 − 3 = 1.
  • That is the fact family for these three numbers — the model is the reason 1, 3 and 4 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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