MathsFreePrintable

Pattern Exploration Worksheet

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Pattern Exploration Worksheet worksheet preview

Pattern Exploration Worksheet

Pattern blocks and sequences illustration

🔍 Part 1: Pattern Recognition

1. Look at this repeating pattern: ⭐ 🔵 ⭐ 🔵 ⭐ 🔵 ___ ___

What comes next? Draw or write the next two shapes: ____________

2. This is a growing pattern: 2, 4, 6, 8, ___, ___

Fill in the next two numbers: ____________

3. Which of these is a repeating pattern?

1, 2, 3, 4, 5

Red, Blue, Red, Blue, Red, Blue

2, 4, 8, 16, 32

4. Look at this pattern: 1, 3, 5, 7, 9

The pattern rule is: The pattern grows by ___ each time.

5. In the pattern A, B, C, A, B, C, what is the unit of repeat?

A, B

A, B, C

B, C, A

📊 Part 2: Pattern Tables

6. Complete this pattern table for the growing pattern 3, 6, 9, 12...

Position: 1st | 2nd | 3rd | 4th | 5th

Value: 3 | 6 | 9 | ___ | ___

7. Use ordinal position to answer: In the pattern Red, Green, Blue, Red, Green, Blue... what colour is in the 7th position?
8. Create your own growing pattern that increases by 5 each time. Start with 10.

Position: 1st | 2nd | 3rd | 4th | 5th

Value: ___ | ___ | ___ | ___ | ___

✏️ Part 3: Explaining Patterns

9. Look at this pattern: 🔺 🔺 🔵 🔺 🔺 🔵 🔺 🔺 🔵

Explain the pattern rule in your own words:

10. Predict and justify: In the pattern 5, 10, 15, 20... what will the 8th term be?

The 8th term will be: ______

How do you know? Explain your reasoning:

11. Challenge: Create your own repeating pattern using three different shapes or colours. Draw it below and write the rule.

My pattern rule: _________________________________________________

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