Fractions on a Number Line – Year 3 Worksheet

Points marked X, A, E and K on four separate number lines ask students to identify each point's fraction value, with a full answer key on the second page.
Year levels
Year 3
File type
PDF
Preparation
Print ready

Updated Jul 12, 2021

Subject
Fractions, Maths
Topic
Fraction on Number Line Worksheet, Plot Fractions on a Number Line Worksheet
Resource types
Worksheets
Preparation
Print ready
Australian Curriculum content descriptions
AC9M4N04 — count by fractions including mixed numerals

From the author

About this resource

This Fractions on a Number Line Worksheet is a great way for students to practice representing fractions on a number line. This worksheet is perfect for 4th and Year 5 maths students.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Students identify the fraction value represented by a marked point on a number line.

  • Students recognise a number line partitioned into equal parts as a model for unit fractions.

  • Students apply their understanding across four different denominators (halves, thirds, fifths, sevenths).

Teaching tips

  • Review how a number line from 0 to 1 is partitioned into equal parts before assigning the worksheet, since the task assumes students can already count equal intervals.

  • Have students check their own labels against the answer key on page 2 once they finish, since it shows every number line fully labelled.

  • Work through the sevenths number line together first, since it has the most intervals, before releasing students to the simpler halves and thirds lines.

Skills covered

  • Fraction-as-location reasoning — students identify which fraction a marked point on a number line represents.

  • Equal-interval partitioning — students use a number line divided into equal parts to determine unit-fraction size.

  • Cross-denominator practice — students apply the same number-line reasoning to halves, thirds, fifths and sevenths.

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Australian Curriculum (Version 9.0)

Australian Curriculum content descriptions

Australian Curriculum content descriptions

  • AC9M4N04 — count by fractions including mixed numerals; locate and represent these fractions as numbers on number lines

Core concepts

  • Fractions on a number line

  • Unit fractions

  • Equal partitioning

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