Patterns

Patterns are sequences of numbers, shapes, or objects that follow a certain rule or order. Recognizing and understanding patterns is an important skill in mathematics, as it helps develop critical thinking and problem-solving abilities.

Types of Patterns

There are different types of patterns, including:

Numeric Patterns: These patterns involve sequences of numbers that follow a specific rule or order. For example, 2, 4, 6, 8, 10 is an example of a numeric pattern with a common difference of 2.
Geometric Patterns: These patterns involve sequences of shapes or objects that follow a specific rule or order. For example, a sequence of squares with increasing side lengths forms a geometric pattern.
Repeating Patterns: These patterns involve a sequence of elements that repeat in a predictable manner. For example, the colors in a rainbow form a repeating pattern.

Identifying and Extending Patterns

To identify and extend patterns, you can follow these steps:

Observe the pattern: Look for a recurring sequence or rule in the given set of numbers, shapes, or objects.
Determine the pattern rule: Once you observe the pattern, try to figure out the rule that governs the sequence. For numeric patterns, this may involve addition, subtraction, multiplication, or division. For geometric patterns, it may involve the arrangement or transformation of shapes.
Extend the pattern: Use the pattern rule to predict and continue the sequence. This involves applying the same rule to generate the next elements in the pattern.