Wyoming Math 3.NF.2

Math3rd GradeNumber and Operations - Fractions

The Standard

Understand and represent fractions on a number line diagram. 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. Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line.

2023 Wyoming Mathematics Content and Performance Standards · Develop understanding of fractions as numbers (limited to denominators 2, 3, 4, 6, and 8) (use horizontal fractions).

Teacher's field guide

What This Standard Means

What Students Need to Do: Students use the distance from 0 to 1 as one whole and divide it into equal spaces. The denominator tells how many spaces make the whole. The numerator tells how many spaces to count from 0.
What Mastery Looks Like: Given a line from 0 to 1, a student can divide it into six equal spaces. They mark 4/6 at the fourth endpoint from 0 and explain why it belongs there.
Common Misconceptions: Students may count tick marks instead of spaces and include 0 as the first count. They may draw unequal spaces or think 1/4 means four spaces from 0.
How to Assess It: Exit ticket: Draw a line from 0 to 1, divide it into six equal spaces, and mark 1/6 and 4/6. Explain how you found 4/6.

Lesson moves

Ways to Teach It

Fold a paper strip into four equal parts, label its ends 0 and 1, then copy the fold marks onto a number line.
Draw thirds and fourths on matching lines from 0 to 1. Ask: Why is 1/3 farther from 0 than 1/4?
Give pairs fraction cards showing 1/2, 2/3, 3/4, and 5/6; one draws each point while the other checks the spaces.
On a meter stick, find 25 cm and 75 cm; mark them as 1/4 and 3/4 of a meter.

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