In this lesson, students use data to find average rate of change and write a function to model the data that can be used to predict more information. Then students are presented with additional data and asked to make an updated prediction using both the additional data as well as information about the situation itself. In the associated Algebra 1 lesson, students also model data with a function and use it to predict information. The work of this lesson supports students by giving them a more structured way to model the situation.
Students model with mathematics (MP4) when they use available data to draw possible functions that represent the data and predict additional values from the model. Looking for and making use of structure (MP7) is also needed to recognize the trends in the data to find a linear function that will model the data well.
- Recognize that additional information about the situation can improve predictions.
- Write linear functions to model data.
- Let’s predict some information.