The activities in Graphs and Equations use a series of explorations of graphs, In-Out tables, and equations to support the focus in the final set of activities, in Measuring and Predicting, on solving the unit problem.
In these activities, students will build on their work with patterns, functions, and their representations from Patterns and The Overland Trail. They will move among In-Out tables, graphs, and equations for several types of functions, including nonlinear functions. They will also explore ways to vary the shape of a graph by altering coefficients in an equation.
Graphs and Equations begins with several activities that focus on fitting functions to given sets of data points. Then it moves to an open-ended, technology-assisted exploration of various types of graphs. Finally, several activities ask students to find equations for given linear and nonlinear graphs.
Graphs in Search of Equations I