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Fractions Decimals Percentages Introduction

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Fractions Decimals Percentages Introduction

Mathematical symbols and visual models

📚 Part 1: Understanding the Basics

1. Match each mathematical term to its correct definition:

Numerator: ________________

Denominator: ________________

Percentage: ________________

Definitions: (a) The bottom number in a fraction (b) Parts out of 100 (c) The top number in a fraction

2. Circle the equivalent values that represent the same amount:

1/2 and 0.5 and 50%

1/4 and 0.25 and 20%

3/4 and 0.75 and 75%

1/10 and 0.1 and 10%

3. A local Manawatu farm has 100 sheep. If 25 sheep are in the front paddock, write this as:

Fraction: _____ Decimal: _____ Percentage: _____%

4. Which of these represents the largest amount?

0.3

1/4

40%

0.35

✏️ Part 2: Visual Representations

5. Look at this 100 square grid pattern. If 30 squares are shaded:

This represents: ___/100 = 0.___ = ____%

6. Order these values from smallest to largest:

0.6, 1/2, 75%, 0.45

Smallest: _____ → _____ → _____ → _____ Largest

7. A Year 8 student spends their $10 pocket money as follows:

• $2.50 on lunch

• $3.00 on a drink

• Saves the rest

What percentage of their money did they save? Show your working:

🌟 Part 3: Extension Challenge

8. Complete this equivalence table:

Fraction: 2/5 | _____ | 7/10

Decimal: _____ | 0.125 | _____

Percentage: _____ | _____ | 70%

9. Explain in your own words why 1/2, 0.5, and 50% all represent the same value:
10. Create a real-life example from your local area that could be represented as 3/4:

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