Explore a concept

Basic patterns

Express patterns in words, numbers, and shapes, and check new cases.

Meaning

Studying patterns means finding and explaining repeating or regularly changing relationships. After conjecturing a rule from a few terms, state the conditions under which it applies.

Example

In a repeating red–blue–blue pattern, the eighth position is blue, like the second position. Dividing 8 by 3 leaves a remainder of 2. A few initial values do not uniquely determine what follows. Check whether a repeating rule or construction method is given.

Practice for this concept

Scope and references

Topics

Repeating patterns, number and shape arrangements, increasing and decreasing patterns

Learning goal

Express patterns in words, numbers, and shapes, and check new cases.

Helpful background

Observe the order in which numbers or shapes appear.

Basic patterns

These ordinary choice questions provide limited practice in this concept. They do not establish independent solution, full-concept performance, or mastery.