Lesson objective: Make predictions from patterns based on nonlinear tables and graphs.

This lesson helps to build fluency with predicting input/outputs for nonlinear functions. Tables are used here because they provide a structure for analyzing rates of change. This work develops students' understanding that nonlinear functions can be predictable.

Students engage in Mathematical Practice MP.2 (reason abstractly and quantitatively) as they identify and quantify patterns of nonlinear functions.

**Key vocabulary:**

- linear
- nonlinear
- rates of change

**Special materials needed:**

- graph
- tiles for pattern making