Fractions on a Number Line
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Skill: Locating and naming fractions on a number line from 0 to 1
10 versions, each with its own answer key
Same skill and layout, a fresh set of problems in every version, so children can keep practicing without repeating a page. Problems are not repeated between versions unless a skill has only a small number of possible problems (for example, the addition facts within 10).
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About this worksheet
Fractions are not only pieces of shapes. Third graders also learn to place fractions on a number line between 0 and 1. Seeing that 3/4 is three equal jumps past 0 toward 1 builds a stronger sense of size than shaded shapes alone. This third-grade worksheet shows ten number lines from 0 to 1. Each line is divided into equal parts, and a mark sits on one of the tick points. Students write the fraction that names the marked point.
Denominators include 2, 3, 4, 5, 6, and 8, which match the grade 3 fraction standards. Every fraction is proper, so students practice unit fractions and other fractions less than one without mixed numbers yet.
How to use it: count the spaces between 0 and 1 to find the denominator, then count how many spaces the mark has traveled from 0 to find the numerator. Remind students that the tick marks show equal parts of the whole distance. A strip of paper folded into equal parts can make the idea concrete before they write.
The answer key lists every fraction in order. This worksheet supports Common Core standard 3.NF.A.2 (understand a fraction as a number on the number line; represent fractions on a number line diagram). It pairs with our Identify Fractions With Shapes worksheet for two ways to see the same idea.
