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Number and Operations: Comparing Fractions CCSS 3.NF.3, 3a, 3b, 3c, 3d Facts & Worksheets

This lesson is all about comparing fractions. We know from previous lessons that fractions are parts of a whole.

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Worksheets /Math /Grade 3 (ages 8-9) /Number and Operations: Comparing Fractions CCSS 3.NF.3, 3a, 3b, 3c, 3d Facts & Worksheets

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This lesson is all about comparing fractions. We know from previous lessons that fractions are parts of a whole. Now we’re going to learn that some fractions have equal parts if we’re talking about the same whole. These are called equivalent fractions.

See the fact file below for more information on the comparing fractions or alternatively, you can download our 29-page Number and Operations: Comparing Fractions CCSS 3.NF.3, 3a, 3b, 3c, 3d worksheet pack to utilise within the classroom or home environment.

Key Facts & Information

LEARNING OBJECTIVE

  • At the end of the lesson, students will recognize equivalent fractions and know common equivalent fraction pairs. The students will also be able to compare two fractions by using the greater than (>), less than (<), and equal to (=) symbols.

A NOTE FOR THE TEACHER

  • When teaching Fractions on the Number Line, take note of the following:
    • Make sure the student understands how to use the greater than, less than, equal to symbols (>, <, =)
    • Help the student recognize and remember equivalent fraction pairs.
    • Guide the student in comparing fractions, especially when they have different denominators.

THEORY

  • This lesson is all about comparing fractions. We know from previous lessons that fractions are parts of a whole. Now we’re going to learn that some fractions have equal parts if we’re talking about the same whole. These are called equivalent fractions.
  • We can see better how two fractions are equivalent when we use models and number lines. Let’s take the fractions ½ and 2/4 as an example. These two fractions may look different at first glance, but when we look at their models, we see that the shaded area is the same. ½ and 2/4 are an example of an equivalent fraction pair.

  • We can also use these models to compare fractions that are not equivalent to each other. Let’s take ¾ and 3/6 as an example. When we show how ¾ and 3/6 looks using one rectangle as one whole, we can see that ¾ covers a greater area than 3/6.

  • Without these models, however, we can compare fractions by looking at their numerators and denominators. When we have two fractions with the same denominator, such as ¼ and ¾, it is easy for us to tell that ¾ is greater than ¼. This is because ¾ is 3 parts of the same whole while ¼ is just 1 part of the whole. When two fractions have the same denominator, the one with a bigger numerator is greater.
  • When we have two fractions with the same numerator, we look at their denominator instead. Let’s take ½ and ⅓ as an example. ½ is greater than ⅓ because the whole is only cut into two pieces rather than 3. When two fractions have the same numerator, the one with the smaller denominator is greater.

Number and Operations: Comparing Fractions CCSS 3.NF.3, 3a, 3b, 3c, 3d Worksheets

This is a fantastic bundle that includes everything you need to know about Number and Operations: Comparing Fractions across 29 in-depth pages. These are ready-to-use worksheets that align with the Common Core CCSS code 3.NF.3, 3a, 3b, 3c, 3d for Number and Operations: Comparing Fractions.

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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