Understanding Fractions with Visual Representations

Explore the concept of fractions with the help of visual representations on a number line. Learn where numbers like one-half, three-quarters, two-thirds, six-thirds, and three-sixths fall on the line by comparing them to whole numbers. Gain a better understanding of how fractions relate to whole numbers in a practical way.

• Fractions
• Number Line
• Visual Representation
• Mathematical Concepts

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Uploaded on Jul 16, 2024 | 3 Views

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1. Lets use the brown rod as the whole. We can copy the one rod many times to find where whole numbers are. 3 2 0 1 Where does the number one half go on this number line?

2. One half is here. We use the length of one to find out where a fraction is. 3 2 1 2 0 1 Where does the number three quarters live on this number line?

3. Three quarters is here, half-way between one half and one whole. Three quarters is three copies of one quarter. 3 2 1 2 3 4 0 1 Where does the number five quarters live on this number line?

4. Five quarters is here, one quarter more than one whole. Five quarters is five copies of one quarter. 3 2 1 2 3 4 5 4 0 1

5. Lets use the blue rod as the whole. 2 0 1 Where does the number one third go on this number line?

6. One third is here. We use the length of one to find out where a fraction is. 1 3 2 0 1 Where does the number two thirds go on this number line?

7. Two thirds is here. It is two copies of one third. 1 3 2 3 2 0 1 Where does the number six thirds go on this number line?

8. Six thirds is the same as two whole ones. Two and six thirds are the same amount. 1 3 5 3 4 3 2 3 2 6 3 0 1 Where does the number three sixths go on this number line?

9. Three sixths is the same amount as one half. One sixth is half of one third. 1 3 2 6 1 2 3 6 1 6 5 3 4 3 2 3 2 6 3 0 1