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Numbers and Operations Fractions: Understanding Unit Fractions CCSS 4.NF.3 Facts & Worksheets

A fraction with a numerator greater than one is understood to be a sum of unit fractions.

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Worksheets /Math /Grade 4 (ages 9-10) /Numbers and Operations Fractions: Understanding Unit Fractions CCSS 4.NF.3 Facts & Worksheets

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A fraction with a numerator greater than one is understood to be a sum of unit fractions. A unit fraction is any fraction that has a numerator of 1.

See the fact file below for more information on the understanding unit fractions or alternatively, you can download our 26-page Geometry: Numbers and Operations Fractions: Understanding Unit Fractions CCSS 4.NF.3 worksheet pack to utilise within the classroom or home environment.

Key Facts & Information

LEARNING OBJECTIVE

  • At the end of the lesson, the student will be able to understand that a fraction a/b with a > 1 is a sum of fractions 1/b.

A NOTE FOR THE TEACHER

  • When understanding unit fractions, take note of the following:
    • Start by checking if the fraction’s numerator is greater than 1.
    • Know that a number n that is greater than 1 has the number 1 n times.
    • Remember that a unit fraction is a fraction with numerator 1.
    • Check your answer by counting from 1 to the number.

THEORY

  • A fraction with a numerator greater than one is understood to be a sum of unit fractions. A unit fraction is any fraction that has a numerator of 1.
  • Consider our knowledge about dividing shapes into halves, thirds, and fourths:

  • Notice that in the:
    • …circle divided into halves, 1 half is shaded. We can visually see that we need 2 halves to complete the shape. This means that the unit fraction is ½.
    • …rectangle divided into thirds, 1 half is shaded. We can visually see that we need 3 thirds to complete the shape. This means that the unit fraction is ⅓.
    • …circle divided into fourths, 1 fourth is shaded. We can visually see that we need 4 fourths to complete the shape. This means that the unit fraction is ¼.
    • With this, we can now understand that a fractionwherein a > 1, has unit fractions counted a times.
  • For example, consider the fraction:
    • We know that the number 5 is composed of the number 1, 5 times 1 + 1 + 1 + 1 + 1
    • Therefore, we know that is composed of the unit fraction, 5 times 1/8 + 1/8 + 1/8 + 1/8 + 1/8
    • To reiterate, a fraction with the numerator n is a sum of unit fractions n times.

Numbers and Operations Fractions: Understanding Unit Fractions CCSS 4.NF.3 Worksheets

This is a fantastic bundle that includes everything you need to know about Numbers and Operations Fractions: Understanding Unit Fractions across 26 in-depth pages. These are ready-to-use worksheets that align with the Common Core CCSS code 4.NF.3 for Numbers and Operations Fractions: Understanding Unit 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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