In this lesson, students continue to examine two types of patterns by looking at tables, noting that one type is characterized by common differences and the other by common factors. They then match different representations with two contexts. This is an opportunity for students to notice structure in expressions (MP7). Note we are still not expecting students to use the words linear or exponential to describe these patterns, though they may naturally use the word linear to describe linear growth, since they have encountered these types of functions before.
- Describe (using words and expressions) patterns in tables that represent linear and exponential relationships.
- Given descriptions of linear and exponential relationships, create tables of values and write expressions.
Let’s compare different patterns of growth.
Acquire devices that can run GeoGebra (recommended) or other spreadsheet technology. It is ideal if each student has their own device. (A GeoGebra Spreadsheet is available under Math Tools.)
- I can use words and expressions to describe patterns in tables of values.
- When I have descriptions of linear and exponential relationships, I can write expressions and create tables of values to represent them.