What does the number line teach that a pie diagram does not?

The number line shows a fraction as a position between two whole numbers, which is the model students need for ordering, adding, and later understanding decimals.

Which grades is this game for?

It suits grades 3-4, after students have met fractions as parts of a whole and are ready to see them as points on a line.

What happens when I change the denominator mid-game?

The line resubdivides in real time, so the tick marks shift and the bead shows its position relative to the new scale — a live demonstration of how the denominator sets step size.

Fraction Number Line

Choose a mode

Drag the bead along the tape to the target fraction (it snaps to the nearest tick), or use the numerator ±1 and denominator ±1 buttons. The denominator subdivides the line live. Then press Check

3D math game · Best for grades 3-4

Fraction Number Line

Fraction Number Line moves the fraction off the pie and onto a ruler between 0 and 1. By dragging a bead to the exact position, students discover that a fraction is a distance, not just a count of shaded pieces.

What students practice

Placing fractions on a number line prepares students for comparing fractions by size, finding equivalent fractions, and eventually understanding fractions greater than 1 — all of which depend on seeing fractions as distances rather than parts of a shape.

Read the target fraction displayed above the number line.
Use the denominator ±1 buttons to subdivide the line into the right number of equal intervals.
Drag the bead to the correct tick, or fine-tune with the numerator ±1 buttons.
Press Check when the bead sits on the target position.

How to use it at home or in class

For 2/3 the line is divided into 3 equal intervals and the bead belongs on the second tick. Changing the denominator to 6 shows immediately that 4/6 lands on the same point, making equivalent fractions visible without any calculation.

Students often place the bead at the tick that matches the numerator without accounting for the denominator. The live subdivision makes clear that the denominator controls how large each step is — both numbers are needed together.

Use it for individual practice, paired work, or a short class demonstration before worksheets.

Start with the game above, then continue with written practice to reinforce the skill.

Common questions

What does the number line teach that a pie diagram does not?: The number line shows a fraction as a position between two whole numbers, which is the model students need for ordering, adding, and later understanding decimals.
Which grades is this game for?: It suits grades 3-4, after students have met fractions as parts of a whole and are ready to see them as points on a line.
What happens when I change the denominator mid-game?: The line resubdivides in real time, so the tick marks shift and the bead shows its position relative to the new scale — a live demonstration of how the denominator sets step size.