5-1 Patterns
Key Concepts
1. What is a Pattern?
A pattern is a sequence of shapes, numbers, or objects that repeat in a predictable way. Patterns help us see relationships and make predictions.
2. Types of Patterns
There are different types of patterns, including repeating patterns, growing patterns, and shrinking patterns. Each type has its own rules and characteristics.
3. Identifying Patterns
Identifying patterns involves recognizing the rule or sequence that makes the pattern repeat. This skill helps in understanding how things are organized and how they change over time.
Detailed Explanation
What is a Pattern?
A pattern is like a repeated design or sequence. For example, if you see a row of tiles where every second tile is blue and the rest are white, you are seeing a pattern.
Types of Patterns
Repeating patterns are sequences that repeat the same set of shapes or numbers. Growing patterns increase in size or number. Shrinking patterns decrease in size or number.
Identifying Patterns
To identify a pattern, look for the rule that makes the sequence repeat. For example, in the sequence 2, 4, 6, 8, the rule is "add 2" to each number to get the next one.
Examples
Example 1: Repeating Pattern
Look at the sequence: Red, Blue, Red, Blue, Red, Blue. The pattern is "Red, Blue" repeating over and over.
Example 2: Growing Pattern
Look at the sequence: 1, 3, 5, 7, 9. The pattern is "add 2" to each number to get the next one. The sequence keeps growing by 2 each time.
Example 3: Shrinking Pattern
Look at the sequence: 10, 8, 6, 4, 2. The pattern is "subtract 2" from each number to get the next one. The sequence keeps shrinking by 2 each time.
Analogies
Analogy 1: Like a Dance Routine
Think of a pattern as a dance routine. Each step follows a specific sequence, and if you know the sequence, you can predict what comes next.
Analogy 2: Like a Growing Plant
Imagine a pattern as a plant that grows a little bit each day. Each day, the plant gets a little taller, just like a growing pattern where each number or shape increases.