## What Comes Next?: Modeling and Predicting

In order to explore change over time, students use world population data to learn about linear and exponential models. They first compare the differences in growth sequences based on addition and multiplication. After using guess-and-check strategies, students develop equations to calculate different kinds of growth. A culminating report on the predicted population growth of a country of their choice gives students the opportunity to apply the models to real-world data and investigate the goodness-of-fit of a model.

### NCTM standard: Algebra

• Understand patterns, relations, and functions
• Represent and analyze mathematical situations and structures using algebraic symbols
• Use mathematical models to represent and understand quantitative relationships
• Analyze change in various contexts

### NCTM standard: Data Analysis and Probability

• Develop and evaluate inferences and predictions that are based on data

### Primary Mathematical Goals

• Use tables to compare and analyze linear and exponential growth
• Use graphs to compare and analyze linear and exponential growth
• Interpolate and extrapolate data values using various methods
• Analyze real-world data to make predictions
• Identify growth patterns in number sequences