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Table of Contents
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
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