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Equivalent Fractions Exploration

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Equivalent Fractions Exploration

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📚 WALT & Success Criteria

WALT: We are learning to identify and create equivalent fractions using number lines and pie-chart thinking.

Success criteria:

1. I can give at least three equivalent fractions for a given fraction.

2. I can explain how multiplying or dividing numerator and denominator by the same number creates equivalent fractions.

3. I can convert a mixed number to an improper fraction and find equivalents.

Differentiation:

- Support: Use fraction circles or fraction bars to show equivalence physically.

- Core: Use number lines and symbolic methods to find and check equivalents.

- Extend: Work with mixed numbers and larger multipliers to create more equivalents.

Extension (Advanced learners): Try finding three equivalent fractions for 1 1/3 and explain how you checked each one.

📘 Part 1: Multiple Choice & Short Answers

1. If you multiply both the numerator and denominator of 1/2 by 3, which fraction do you get?

2/4

3/6

4/8

1/3

2. Which fraction is equivalent to 2/3?

4/6

3/5

1/3

5/8

3. Check all that apply: Which of these are equivalent to 3/5?

6/10

9/15

3/15

1/5

4. Which shows 1 1/2 as an improper fraction?

3/2

2/3

1 2/4

4/3

5. Write three fractions equivalent to 2/5. Show a short note on how you found them.
6. Simplify 8/12. Show your steps.

✏️ Part 2: Matching & Challenge

7. Match each fraction on the left with an equivalent fraction on the right. Draw a line between matching items.
A. 1/2
B. 2/3
C. 3/4
D. 5/6
1. 6/8
2. 10/12
3. 4/6
4. 2/4
8. Challenge: Convert 1 3/4 to an improper fraction. Then find two equivalent fractions by multiplying numerator and denominator by 2 and by 3.
9. Reflection: How can you check that two fractions are equivalent? Write one short sentence.

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