CCSS.Math.Content.3.NF.A.2a

Math3rd GradeNumber and Operations—Fractions

The Standard

Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line.

Common Core State Standards for Mathematics

Teacher's field guide

What This Standard Means

What Students Need to Do

Students treat the distance from 0 to 1 as one whole and divide it into equal intervals. They use the denominator to determine the number of intervals and locate the first unit fraction.

What Mastery Looks Like

Students can draw a number line from 0 to 1 and divide it into the requested number of equal intervals. They correctly label the first endpoint after 0 and explain what the denominator tells them.

Common Misconceptions

Students may count tick marks instead of spaces, creating one too few intervals. They may use unequal spaces or label the first tick with the denominator alone.

How to Assess It

Give students this exit ticket: “Draw a number line from 0 to 1, divide it into six equal intervals, and label 1/6.”

Lesson moves

Ways to Teach It

  1. Tape a 0-to-1 number line on the floor, have students measure four equal intervals, then stand at 1/4.

  2. Ask, “Why must the spaces be equal, and why is 1/5 at the first endpoint after 0?”

  3. Give students denominator cards and number line cards, then have partners match each card to the correct unit fraction location.

  4. Use a 60-minute timeline from 0 to 1 hour, divide it into four equal intervals, and identify 1/4 hour.

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Printable 3.NF.A.2a Worksheet

Preview of the CCSS.Math.Content.3.NF.A.2a printable worksheet

A ready-to-print activity worksheet aligned to CCSS.Math.Content.3.NF.A.2a, with an answer key for the teacher on its own page. No account needed.

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Learning progression

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