Bar Model — 9 + 11 = 20 — free printable diagram

What is 9 + 11?

This part-whole bar model shows 9 and 11 as the two parts of one whole. Adding the parts gives the whole, so 9 + 11 = 20.

First part

9

Second part

11

Whole

20

Addition

9 + 11 = 20

Subtraction

20 − 9 = 11

• 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 11, and together they fill the whole bar of 20.
• The parts can be added in either order — swapping them does not change the whole: 9 + 11 = 11 + 9 = 20.
• Covering up one part turns the same picture into a subtraction: 20 − 9 = 11 and 20 − 11 = 9.
• That is the fact family for these three numbers — the model is the reason 9, 11 and 20 belong together, whichever way round you write them.