Worksheet

Swim Lane Unit Fractions

Grade 3 unit fractions on a number line: split a swim lane from 0 to 1 into equal parts and find 1/b at the end of the first part.

Grade 3MathInteractive · Printable

Aligned to3.NF.A.2.a

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
11 questions
Classroom-ready

Details

Format: Interactive · Printable
Grade: Grade 3
Subject: Math
Question types: Fill in the blank, Multiple choice, Matching, Short answer

About this worksheet

What students practice

Students split a number line from 0 to 1 into equal parts.
Students name the point at the end of the first equal part from 0 as the unit fraction 1/b.
Students explain why each of b equal parts from 0 to 1 has size 1/b.

How to use

Use after students know unit fractions from fraction bars. Before starting, point out that every lane begins at 0 and ends at 1, and have students count the spaces, not the tick marks.

Curriculum

Common Core standard covered

3.NF.A.2.a

Show a unit fraction on a number line by splitting 0 to 1 into equal parts.

Preview

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Name Date

Swim Lane Unit Fractions

Split the pool lane from 0 to 1 into equal parts to find unit fractions.

Read the lane

Each pool lane goes from the start wall at 0 to the far wall at 1. The tick marks split the lane into equal parts.

Coach Rivera puts tick marks on Ella's lane. Ella swims from 0 to the dot.

The lane is split into equal parts.
The dot is at 1/ of the lane.

Omar swims from 0 to the dot.

The dot is at 1/ of the lane.

Priya swims from 0 to the dot.

Where is Priya's dot?

A. 1/7
B. 1/5
C. 1/6
D. 6

Match each lane to the unit fraction at its dot.

A. 1/4
B. 1/6
C. 1/2
D. 1/8

Coach's lane plans

Help Coach Rivera split each lane into equal parts. Every lane goes from 0 to 1.

Coach Rivera wants to split this lane into 3 equal parts.

She needs tick marks between 0 and 1.
The first tick mark after 0 will be at 1/ .

Kenji will swim 1/8 of the lane. Which number line shows a dot at 1/8?

Coach Rivera splits a lane from 0 to 1 into 8 equal parts.

Each part is 1/ of the lane.
It takes of these parts to swim from 0 to 1.

Ava swims 1/2 of the lane and stops. Which number line shows where she stops?

Check the swimmers' thinking

Read what each swimmer says. Decide what makes sense.

Leo looks at this lane. He says the dot is at 1/5 because he counts 5 tick marks.

Which is correct?

A. The dot is at 1/4, because 0 to 1 is split into 4 equal parts.
B. Leo is right. There are 5 tick marks, so the dot is at 1/5.
C. The dot is at 1/3, because there are 3 tick marks between 0 and 1.

10.

Zoe draws a lane from 0 to 1. She splits it into 3 parts, but the parts are not the same size. Can she call the first tick mark after 0 the point 1/3?