Patterns that follow a rule

Problem types

• Extend a pattern from its rule
• What a pattern rule guarantees
• Fill in the missing table values
• A growing tile pattern
• Find the rule of a number pattern
• Continue a pattern whose rule is not stated

Builds on

• Patterns in the operations
• Odd and even numbers · Earlier idea

  Adding an even number keeps a number odd or even; adding an odd number switches it. This explains patterns that stay odd or alternate.

Leads to

• Two patterns on one graph
• What makes a relation a function · Extend the idea

  A rule that takes each input to one output is a function, and function notation writes the rule as f(x).

• Rules for a geometric sequence · Extend the idea

  A rule that multiplies by the same number each step gives a geometric sequence rather than one that adds.

Related skills

None listed.