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Multiples Pattern Exploration

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Multiples Pattern Exploration

Mathematical patterns and multiples

🔢 Part 1: Number Patterns with Multiples

1. Complete the pattern and describe it using multiplication:

3, 6, 9, 12, _____, _____, _____

This pattern shows multiples of _____ or _____ × 1, _____ × 2, _____ × 3, _____ × 4, ...

2. Look at this pattern: 8, 16, 24, 32, 40

a) The next three numbers are: _____, _____, _____

b) This pattern shows multiples of _____

c) The 10th number in this pattern would be: _____

3. Describe this pattern in words using multiplication (not addition):

Pattern: 5, 10, 15, 20, 25, 30

4. Which of these patterns shows multiples of 7?

7, 14, 28, 35, 42

7, 14, 21, 28, 35

7, 17, 27, 37, 47

📊 Part 2: Tables and Geometric Patterns

5. This geometric pattern shows squares arranged in groups. Complete the table:

Pattern: Group 1 has 4 squares, Group 2 has 8 squares, Group 3 has 12 squares...

Group Number 1 2 3 4 5
Number of Squares 4 8 12 ____ ____
6. Look at the table above. What is the rule that connects the group number to the number of squares?

Rule: Number of squares = Group number × _____

7. Using your rule, how many squares would be in Group 10?

🧠 Part 3: Pattern Rules and Algebraic Thinking

8. Study this table and find the rule:
Bottom Number 1 2 3 4 5
Top Number 6 12 18 24 30

The rule is: Top number = Bottom number × _____

9. Using the rule from Question 8, what would the top number be if the bottom number was 8?

Answer: _____

10. Create your own multiple pattern and explain it:

My pattern: _____, _____, _____, _____, _____

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