Lesson objective: Extend understanding of patterns that include given rules.

Students bring prior knowledge of patterns from 3.OA.D.9. This prior knowledge is extended to patterns that follow a given rule as students solve the rule and use it to problem solve. A conceptual challenge students may encounter is operational rules that include several parts or patterns that involve several different shapes in various amounts.

The concept is developed through work with pattern blocks and the use of tables, which demonstrate the process in a concrete way.

This work helps students deepen their understanding of operations because pattern rules follow operations, for example, the pattern rules "plus 9" or "double."

Students engage in Mathematical Practice 2 (reason abstractly and quantitatively) as they determine rules to complete patterns. Rules are used to determine appearance of figures several stages into the pattern. Drawings, manipulatives, and charts are a few methods students may use to problem solve.

**Key vocabulary:**

- chart
- equation
- pattern
- rule
- table

**Special materials needed:**

- pattern blocks (optional)