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Number Patterns and Fractions

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Number Patterns and Fractions

Number patterns and fraction illustrations

🔢 Part 1: Number Patterns and Decimals

1. Complete these number patterns (tauira tau):

a) 2, 4, 6, 8, _____, _____

b) 0.2, 0.4, 0.6, _____, _____

c) 1/3, 2/3, 3/3, _____, _____

2. What decimal represents 3/10?

0.03

0.3

3.0

0.30

3. Write these numbers in order from smallest to largest:

0.75, 1/2, 0.6, 3/4

4. If a pattern starts at 0.5 and increases by 0.25 each time, what is the 5th number?

1.5

1.75

2.0

1.25

➕ Part 2: Adding and Subtracting Fractions

5. Calculate these fraction problems:

a) 3/8 + 2/8 = _____

b) 5/6 - 2/6 = _____

c) 1/4 + 1/8 = _____ (Hint: Use equivalent fractions)

6. Sarah ate 2/5 of a pizza and Tom ate 1/5 of the same pizza. How much pizza did they eat altogether?
7. Which fractions are equivalent to 1/2? (Check all that apply)

2/4

3/8

4/8

5/10

🧠 Part 3: Problem Solving and Patterns

8. A recipe calls for 3/4 cup of flour. If you want to make half the recipe, how much flour do you need?

Show your working:

9. Create your own number pattern using fractions. Write the first 4 terms and explain the rule:
10. Extension Challenge: If the pattern 0.1, 0.3, 0.6, 1.0, 1.5... continues, what would be the 7th term? Explain how you found your answer.

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