Play With Patterns
Patterns are rules hidden in sequences! We'll practice identifying the **unit of repeat** in geometric designs and discovering the **numeric rule** (addition or subtraction) to predict the next number.
- Select a concept below to explore pattern types.
- Learn to find the **rule** in both numeric and geometric sequences.
- Practice completing the next element in a sequence.
- Use the **Classification** module to sort pattern rules.
- Test your sequencing skills with the **Practice Quiz** button.
Patterns teach logical thinking and prediction. In mathematics, patterns are formed by constant operations (addition, subtraction, multiplication) or repeating visual elements.
The Logic of Sequences
A pattern is a recurring characteristic or event. The key to solving any pattern problem is identifying the **unit of repeat** or the **rule of operation**.
| Pattern Type | Rule | Example |
|---|---|---|
| Geometric | Repeating shapes, colors, or sizes | Square, Triangle, Square, Triangle... |
| Numeric (Addition) | Adding the same number repeatedly | $5, 10, 15, 20...$ (Rule: Add 5) |
| Numeric (Subtraction) | Subtracting the same number repeatedly | $100, 90, 80, 70...$ (Rule: Subtract 10) |
In a geometric pattern (like on clothes or borders), the unit of repeat is the smallest part of the sequence that is copied exactly over and over. Breaking the sequence into these units reveals the entire design.
For numeric patterns, find the **difference** between adjacent numbers. If the difference is the same every time, that difference is the rule!
