A growing pattern is a type of pattern where the terms, or objects of the pattern, increase or decrease by a constant unit every time the sequence repeats. Growing patterns can be found with pictures, shapes, objects, numbers, and even letters. A growing pattern has two important parts: the terms and the rule. Each step of a growing pattern is a term, and the fixed order in which a growing pattern increases or decreases is called its rule. To work with a growing pattern, we need to be able to find its rule. To find the rule of a pattern, we observe how the pattern increases or decreases as it moves from one sequence to the next. Sometimes, we may need to find unknown terms in a growing pattern. To do this, we first find its rule and then use it to find the unknown terms.

Examples of growing patterns include:

• Growing shape pattern
• Growing number pattern
• Growing alphabet pattern
• Skip counting by 1, 2, 5, 25, etc.

In contrast to repeating patterns, growing patterns have terms that grow as the pattern grows. A simple way to describe a growing pattern is to identify the rule, which is the pattern that the terms follow. For example, the rule for a growing pattern could be to add one extra heart after each triangle.

Overall, growing patterns are an important concept in mathematics that help us understand how objects can be arranged based on a rule.