Skip to content

Partition a Number Line from 0 to 1 into Equal Parts

Students will learn to treat the interval from 0 to 1 on a number line as the 'whole' and partition it into b equal parts. They will draw tick marks to create equal-length segments and understand that each segment represents one unit fraction (1/b). Students will label the tick marks with the correct fractions.

Try three of them

Real questions from this skill, graded here. No account, and nothing is saved.

Partition a Number Line from 0 to 1 into Equal Parts

Grade 3 · Fractions on a Number Line · question 1 of 3

0 of 12

12 rungs. A star at the top.

01B

Find the fraction shown by dot B.

The ticks cut each whole into equal parts.

Your answer:

How it is taught

0:00 of 3:21

A number line is split into equal hops.

The hops from 0 to 3 can be unit fractions.

0123

Read it: Count the gaps, not ticks

A line runs from 0 to 1, cut in half. You could count 3 marks, but the walk has 2 equal steps.

  1. Start at 0 on the line.
  2. Count the equal steps to the mark: 1 of 2.
  3. Name that place on the line: 1/2.

Counting the marks gives 3, because 0, the middle and 1 are all ticks, but ticks are not the steps.

Each step from 0 to 1 is the same size, so 1 step out of 2 is halfway.

The shaded piece covers 1 of those 2 steps, so it sits at the same place as 1/2.

Count the equal gaps, not the ticks; that many steps is the fraction.

Counting the 3 ticks and saying the mark is 3, not 1/2.

Ticks are the ends of the steps. 2 equal steps from 0 to 1: the middle is 1/2.

If you split 0 to 1 into 3 equal parts, each piece is ___. — 1/3. 3 equal parts from 0 to 1 are thirds, so each piece is 1/3.

Split 0 to 1 into 4 equal parts

Today we'll learn how to split a number line from zero to one into equal parts.

Here's our number line. The whole goes from zero all the way to one.

We want to cut this whole into four equal parts.

We make our first tick mark, splitting off one equal piece.

Now a second tick — two equal pieces so far.

And one more tick. That's four equal parts!

The bottom number — the denominator — is four because we have four equal parts. The first tick is one of those four parts: one-fourth.

Two of the four parts: two-fourths.

Three of the four parts: three-fourths.

We split zero to one into four equal parts. Each part is one-fourth of the whole. Great work!

Split 0 to 1 into equal partsFrom 0 to 1 — the whole014 equal parts010101142434denominator = number of equal partsEACH PART14of the whole
Grade 3 · The whole from 0 to 1, cut into fourths

What you see

While they climb, your page writes one true line to ask about tonight, and a short note each Sunday.

MayaGrade 3 · Mathematics
Did you know?

A chessboard has 64 squares — share them out between the 8 rows and each row holds exactly 8.

Today’s goal
1 star — one skill mastered, every rung of its ladder climbed
Climbing now
Divide within 100

An example student.

MayaGrade 3 · Mathematics

Maya earned 2 stars this week — Interpret multiplication as equal groups, which took 6 answers over 3 days before its star landed 3 days ago and Multiply by 6, 7, 8 and 9. Next up: Divide within 100.

An example week.

More of the library

Practise this skill free

14 days of every skill, practice packets, Fluency sheets and up to four students. No card.

Start free