https://file.aiquickdraw.com/mathbot/file/1730426191868unckm5k7.jpg

To answer the questions in the image, let’s examine the given fractions and diagrams.

1. **Understanding the Models:**
   - The first model shows \( \frac{1}{3} \) shaded, which represents one-third of the whole bar.
   - The second model shows \( \frac{2}{6} \) shaded, which represents two-sixths of the whole bar.

2. **Identifying Equivalent Fractions:**
   - \( \frac{1}{3} \) is equivalent to \( \frac{2}{6} \). We can see this because both shaded areas are the same proportion of the bar.

3. **Completing the Sentence:**
   - **The first part** of the sentence: “\( \frac{2}{6} \) has 2 times as many equal parts as \( \frac{1}{3} \).” This is because the whole bar for \( \frac{2}{6} \) is divided into 6 parts, whereas the whole bar for \( \frac{1}{3} \) is divided into only 3 parts.
   - **The second part** of the sentence: “\( \frac{2}{6} \) has 2 times as many shaded parts as \( \frac{1}{3} \).” Since \( \frac{1}{3} \) has 1 shaded part, \( \frac{2}{6} \) has 2 shaded parts.

So, the completed sentence should read:
- \( \frac{2}{6} \) has 2 times as many equal parts as \( \frac{1}{3} \).
- \( \frac{2}{6} \) has 2 times as many shaded parts as \( \frac{1}{3} \).

Would you like further clarification, or do you have any additional questions?

Here are some related questions to consider:
1. What other fractions are equivalent to \( \frac{1}{3} \)?
2. How can you determine if two fractions are equivalent without a model?
3. Can you find the simplest form of \( \frac{4}{12} \) and explain if it's equivalent to \( \frac{1}{3} \)?
4. Why is it helpful to represent fractions visually when learning about equivalence?
5. What is the relationship between multiplying the numerator and the denominator by the same number?

**Tip:** Visual models, like bar fractions, are very useful for understanding equivalent fractions. They allow you to see how different fractions can represent the same proportion.

Use models to find how many sixths are equivalent to 1/3. Complete the sentence: 2/6 has ___ times as many equal parts as 1/3. 2/6 has ___ times as many shaded parts as 1/3.

Explore how to use models to determine that 2/6 is equivalent to 1/3. This lesson teaches students in Grades 3-5 how to understand equivalent fractions through visual representation and complete sentences to express their relationships.

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