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Fractions as Sets

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Fractions as Sets

Fractions as Sets

Fractions illustration showing sets divided into parts

🔢 Part 1: Understanding Fractions in Sets

1. Circle the correct fraction for each set:

Set A: 6 buttons shared equally into 2 groups

1/2 (haurua)

1/3 (toru wāhanga)

1/4 (hauwhā)

Set B: 9 coins shared equally into 3 groups

1/2 (haurua)

1/3 (toru wāhanga)

1/4 (hauwhā)

Set C: 8 beads shared equally into 4 groups

1/2 (haurua)

1/3 (toru wāhanga)

1/4 (hauwhā)

✏️ Part 2: Drawing Fractions

2. Draw a circle and divide it into halves (haurua). Colour one half:
3. Draw a rectangle and divide it into thirds (toru wāhanga). Colour one third:
4. Draw a square and divide it into quarters (hauwhā). Colour one quarter:

🔤 Part 3: Fraction Words and Symbols

5. Fill in the blanks with the correct fraction words:

When we share something into 2 equal parts, each part is called a ____________.

When we share something into 3 equal parts, each part is called a ____________.

When we share something into 4 equal parts, each part is called a ____________.

6. Match the fraction symbols with their Māori names:
1. 1/2
2. 1/3
3. 1/4
A. hauwhā
B. haurua
C. toru wāhanga

🧮 Part 4: Comparing Fractions

7. Which fraction is larger? Circle your answer:

a) 1/2 or 1/4?

1/2 is larger

1/4 is larger

They are the same

b) 1/3 or 1/4?

1/3 is larger

1/4 is larger

They are the same

8. Check all the ways you can make equal parts:

Folding paper

Cutting shapes

Sharing objects equally

Drawing lines

📝 Part 5: Problem Solving

9. Sarah has 6 kiwifruit to share equally with her whānau. If she gives them to 2 people, what fraction does each person get?
10. Explain in your own words what makes parts "equal":
11. Draw a set of 8 objects and show how to divide them into quarters:

🌟 Part 6: Extension Challenge

12. Advanced learners: Can you find another way to write 1/2? (Hint: think about 2/4)
13. Create your own fraction problem using kai (food) and sharing with whānau:

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