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Equivalent Fractions Exploration

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Equivalent Fractions Exploration

Equivalent Fractions Exploration

Fraction wall illustration

🧠 Part 1: Understanding Equivalent Fractions

1. What is a fraction? Fill in the blanks using the words below:

Words to use: whole, parts, numerator, denominator

A fraction shows _______ of a _______. The top number is called the _____________ and the bottom number is called the _____________.

2. Circle the pairs of fractions that are equivalent (equal):

1/2 and 2/4

1/3 and 2/6

1/4 and 3/8

3/6 and 1/2

2/8 and 1/4

📏 Part 2: Fraction Strips Activity

3. Use your fraction strips to find equivalent fractions. Complete the equations:

1/2 = ___/4 = ___/8

1/3 = ___/6 = ___/12

2/4 = ___/2 = ___/8

4. Draw and colour fraction strips to show that 1/2 = 2/4:

📊 Part 3: Number Line Challenge

5. Mark these fractions on the number line below. Circle any fractions that land on the same point:

Fractions to mark: 1/2, 2/4, 3/6, 1/4, 2/8, 4/8

6. Which fractions from question 5 are equivalent to 1/2? List them here:

🏗️ Part 4: Fraction Wall Investigation

7. Using your fraction wall, match each fraction with its equivalent:
1. 1/2
2. 1/3
3. 2/6
4. 4/8
5. 3/12
A. 1/4
B. 4/12
C. 1/2
D. 4/8
E. 1/3
8. Find three different fractions that are all equivalent to 1/4:

🍕 Part 5: Real-Life Fractions

9. Sarah ate 2/8 of a pizza and Tom ate 1/4 of the same pizza. Who ate more?

Sarah ate more

Tom ate more

They ate the same amount

10. Explain your answer using mathematical language (numerator, denominator, equivalent):
11. Draw a picture to show that 2/8 = 1/4 using pizza slices:

🎯 Part 6: Challenge Questions

12. Complete this pattern:

1/2 = 2/4 = 3/6 = ___/8 = ___/10 = ___/12

13. True or False? Circle your answers:

True
False: 3/9 is equivalent to 1/3

True
False: 5/10 is equivalent to 1/2

True
False: 6/8 is equivalent to 3/4

14. Create your own equivalent fraction family. Start with 1/5 and find two equivalent fractions:

1/5 = ___/10 = ___/___

15. Reflection: Explain in your own words what makes two fractions equivalent:

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