MathsFreePrintable

Geometric Patterns Tables

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Geometric Patterns Tables worksheet preview

Geometric Patterns Tables

Geometric patterns illustration

📐 Part 1: Counting Pattern Elements

1. Look at this pattern of dots arranged in rows:

Step 1: ••
Step 2: ••••
Step 3: ••••••
Step 4: ••••••••

Complete the table:

Step Number 1 2 3 4 5
Number of Dots ____ ____ ____ ____ ____
2. Write the multiplication sentence for this pattern:

Number of dots = Step number × ________

3. Look at this square pattern:

Step 1: ■■■
Step 2: ■■■■■■
Step 3: ■■■■■■■■■

Complete the table:

Step Number 1 2 3 4
Number of Squares ____ ____ ____ ____
4. Write the multiplication rule:

Number of squares = ________ × ________

🔢 Part 2: Pattern Rules and Tables

5. This pattern shows triangles and circles:

Step 1: ▲▲ ●●●●
Step 2: ▲▲▲▲ ●●●●●●●●
Step 3: ▲▲▲▲▲▲ ●●●●●●●●●●●●

Step 1 2 3 4 5
Triangles ____ ____ ____ ____ ____
Circles ____ ____ ____ ____ ____
6. Write the multiplication rules:

Triangles: Step number × ________

Circles: Step number × ________

7. What would step 10 look like?

Triangles in step 10: ________ circles in step 10: ________

🎯 Part 3: Create Your Own Pattern

8. Design a geometric pattern using squares (■) where each step follows a multiplication rule.

My Pattern:

Step 1: ________________________

Step 2: ________________________

Step 3: ________________________

9. Create a table for your pattern:
Step Number 1 2 3 4
Number of Shapes ____ ____ ____ ____
10. Write your multiplication rule:

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