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The exercise asks to find how many sixths are equivalent to one-third (\( \frac{1}{3} \)) using visual models. Here's the step-by-step approach based on the image:

1. **Identify the visual model:** 
   - The top bar shows \( \frac{1}{3} \) with one out of three parts shaded.
   - The bottom bar shows \( \frac{2}{6} \) with two out of six parts shaded.

2. **Equivalent Fraction Verification:**
   - We can see that \( \frac{1}{3} \) and \( \frac{2}{6} \) represent the same amount since both shaded areas are equal in size.
   - Thus, \( \frac{1}{3} = \frac{2}{6} \).

3. **Completing the Statements:**
   - \( \frac{2}{6} \) has **2 times as many equal parts** as \( \frac{1}{3} \).
   - \( \frac{2}{6} \) also has **2 times as many shaded parts** as \( \frac{1}{3} \).

4. **Complete the Equation:**
   - In the equation at the bottom:  
     \[
     \frac{1}{3} = \frac{1 \times 2}{3 \times 2} = \frac{2}{6}
     \]
   - The missing numbers are **2** for both the numerator and the denominator multipliers.

Would you like further explanation on equivalent fractions?

Here are five related questions to extend your understanding:

1. How can you visually represent other equivalent fractions, like \( \frac{1}{2} \) and \( \frac{3}{6} \)?
2. Why does multiplying both the numerator and denominator by the same number keep the fraction equivalent?
3. How would you use this method to determine if \( \frac{3}{9} \) is equivalent to \( \frac{1}{3} \)?
4. What is the general rule for finding equivalent fractions?
5. How can you check if two fractions are equivalent without a model?

**Tip:** To create equivalent fractions, multiply or divide both the numerator and denominator by the same number.

Use models to find how many sixths are equivalent to 1/3.

Learn how to determine the number of sixths equivalent to one-third (1/3) using visual fraction models. This problem demonstrates the concept of equivalent fractions and guides students through identifying equivalent fractions like 1/3 = 2/6. Suitable for Grades 3-5.

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