Fractions on a Number Line

Why number lines matter

On a pie, a fraction is a piece of something. On a number line, it's a number with its own spot, between 0 and 1, bigger than this, smaller than that. That shift matters: it's the idea kids need for decimals, negative numbers and measuring with a ruler. It's also why US Common Core brings in number lines as early as 3rd grade (3.NF.A.2).

The mistake to watch for

Kids count tick marks instead of jumps. A line cut into 4 jumps has 5 marks, including 0 and 1, so they call the first mark 1/5. Have them run a finger along each jump and count hops, the way a frog would. The fraction is the distance from 0, not the mark itself.

A simple way to teach it

Start with a paper strip, folded into equal parts. Lay it above a drawn line and mark the folds. Label the jumps out loud: one fourth, two fourths, three fourths, four fourths. Notice that four fourths lands on 1. Then look for fractions past 1 if your class is ready: the jumps just keep going.

How to do it with Fraction Bakery

1. Play Delivery Line in the game: the bike rides from 0 to 1 and kids choose where to stop.
2. Print number line worksheets.
3. Open any fraction page to see it on a line next to a pie and a cake.
4. Use the line to compare: whichever is further right is bigger.

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