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Number and Operations: Fractions on the Number Line CCSS 3.NF.2, 2a, 2b Facts & Worksheets

In the previous lesson, we learned how to represent fractions by using different geometric shapes divided into even parts.

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Worksheets /Math /Grade 3 (ages 8-9) /Number and Operations: Fractions on the Number Line CCSS 3.NF.2, 2a, 2b Facts & Worksheets

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Number and Operations Fractions on the Number Line CCSS 3.NF.2, 2a, 2b Worksheets
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In the previous lesson, we learned how to represent fractions by using different geometric shapes divided into even parts. This time, however, we’ll be looking into how we can represent fractions using the number line.

See the fact file below for more information on the fractions on the number line or alternatively, you can download our 26-page Number and Operations: Fractions on the Number Line CCSS 3.NF.2, 2a, 2b worksheet pack to utilise within the classroom or home environment.

Key Facts & Information

LEARNING OBJECTIVE

  • At the end of the lesson, students will be able to find fractions on a number line and also represent them using a number line. The students will also be able to identify fractions that are greater than 1 and fractions that are equal to 1.

A NOTE FOR THE TEACHER

  • When teaching Fractions on the Number Line, take note of the following:
    • Start by reminding students that fractions are parts of one whole.
    • Review the concept of the number line.
    • Help students see where the fraction is on the number line.

THEORY

  • In the previous lesson, we learned how to represent fractions by using different geometric shapes divided into even parts. This time, however, we’ll be looking into how we can represent fractions using the number line.
  • A number line is a tool we use in mathematics to help us see where numbers are located, how far they are from each other, and even what’s in between two numbers. A number line would often look like this.

  • We know that fractions are just parts of 1 whole. That “whole” is a whole number like 1 or 2. Let’s say we are given the fraction ¼; how do we show ¼ on the number line? We know that ¼ is less than 1 but greater than 0. This means we can divide the space between 1 and 0 into four parts. The first point would then be ¼, the second would then be 2/4, the third would be ¾, and the last would be 4/4 or just 1.

  • What if we’re given a fraction like 5/4. This is what we call an improper fraction. These fractions are greater than 1. We know that 4/4 is equal to 1, so 5/4 must be greater than 1. We see on the number line below how we still divide the space beyond 1 into four parts. We can also see that 5/4 is located at the first point past 1. In fact, when converted into a proper fraction, 5/4 is actually 1 1/4.

Number and Operations: Fractions on the Number Line CCSS 3.NF.2, 2a, 2b Worksheets

This is a fantastic bundle that includes everything you need to know about Number and Operations: Fractions on the Number Line across 26 in-depth pages. These are ready-to-use worksheets that align with the Common Core CCSS code CCSS 3.NF.2, 2a, 2b Number and Operations: Fractions on the Number Line.

Table of contents:

  • A lesson plan
  • Warm-up activity
  • Math theory explained
  • Assisted learning activities
  • Independent learning activities
  • Extension activities and games
  • Answer keys

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Use With Any Curriculum

These worksheets have been specifically designed for use with any international curriculum. You can use these worksheets as-is, or edit them using Google Slides to make them more specific to your own student ability levels and curriculum standards.

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