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Table of Contents
To review, the simplest of a fraction is the unit fraction having a numerator 1. With this, we can understand that a fraction can be decomposed into a sum of smaller units. The sum of the unit fractions is one way to decompose fractions.
See the fact file below for more information on the decompose fractions or alternatively, you can download our 26-page Numbers and Operations – Fractions: Decompose Fractions CCSS 4.NF.3b worksheet pack to utilise within the classroom or home environment.
Key Facts & Information
LEARNING OBJECTIVE
- At the end of the lesson, with the understanding of addition and subtraction of fractions, the student will be able to separate a bigger fraction into smaller fractions not limited to pairs, but also three or more smaller fractions.
A NOTE FOR THE TEACHER
- When decomposing fractions, take note of the following:
- Start by decomposing the fraction into the unit fractions. This is the simplest way to decompose a fraction.
- List the numbers that will add up to the number of the numerator starting with 1 + (n – 1), then 2 + (n – 2), then 3 + (n – 3). After, you can try it with three addends.
THEORY
- To review, the simplest of a fraction is the unit fraction having a numerator 1. With this, we can understand that a fraction can be decomposed into a sum of smaller units. The sum of the unit fractions is one way to decompose fractions.
- Another way is to list pairs that would have the value n as the sum:
- As seen in the last column, you can replace the numerators with these pairs.
- This is just one way to decompose a fraction. Decomposing a fraction is not limited to splitting the fraction into two addends.
- We should understand that we can decompose fractions in different smaller values that add up to the initial fraction. This requires an understanding of the addition and subtraction of fractions.
Numbers and Operations – Fractions: Decompose Fractions CCSS 4.NF.3b Worksheets
This is a fantastic bundle that includes everything you need to know about Numbers and Operations – Fractions: Decompose Fractions across 26 in-depth pages. These are ready-to-use worksheets that align with the Common Core CCSS code 4.NF.3b for Numbers and Operations – Fractions: Decompose 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.