Discuss the similarities and differences in the graphs and equations with the class. Have them record their findings in their journals, using their own words. Ask students to work in groups to determine techniques that will generate linear equations, given information other than slope and intercept. To explore the relationship of linear equations in computer programming, have students work in co-operative groups to generate short programs that produce linear drawings, then share these with the class. Organize a carousel activity in which students move in groups around various stations set up with activities to generate data.
Students decide as a group how best to graph or display the data.
Discuss as a class the similarities and differences in the solutions. Have students use a function machine to calculate the range of a function from its domain. Ask students to use maps and scale diagrams to calculate distances and sizes. Collect Have students collect data on relations between pizza costs and diameters. This data could be represented as a list of ordered pairs, expressed as a rule, described in equation form, as a hand sketched graph, and finally drawn using a graphing calculator.