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Fractions: Three Visual Representations

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Fractions: Three Visual Representations worksheet preview

Fractions: Three Visual Representations

Part 1: Notice and Connect

WALT: We Are Learning To show a fraction in three ways: fraction notation, a picture, and a number line.

Success criteria: I can identify equal parts, write the fraction, and place it correctly on a number line.

Dyslexia-friendly option: Read each question aloud, use a ruler to track the line of text, and circle key words.

1. A shape is divided into 4 equal parts. 3 parts are shaded. Which fraction is shaded?

1/4

3/4

4/3

2. Which fraction means one half?

1/3

1/2

2/1

3. A set has 8 counters. 5 are red. Which fraction of the counters are red?

3/8

5/8

5/3

4. Tick all the statements that are true about 2/3.

The whole is split into 3 equal parts.

2 parts are being considered.

It is greater than 1.

Part 2: Show It Three Ways

For each fraction, use the drawing space to show the fraction as an area model, a set of objects, and a number-line point. Label each representation.

5. Show 1/2 in three different ways.
6. Show 3/4 in three different ways.
7. Complete the three representations for 2/5. Draw a shape split into equal parts, a set of objects, and a number line from 0 to 1.
8. Write the fraction shown by your own drawing. Explain how you know the parts are equal.

Part 3: Explain and Extend

Success criteria: I can explain how the numerator and denominator connect to each visual representation.

9. In the fraction 4/6, what does the 6 tell us? What does the 4 tell us?
10. Draw two different visual representations that show an equivalent fraction to 1/2. Write both fractions.

Support: Use fraction strips, counters, or a ruler. Work with a partner and say each step aloud.

Extension: Show 3/4 in three ways, then show an equivalent fraction with a denominator of 8. Explain what changed and what stayed the same.

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