AIM: How can we analyze relationships between two variables?
Announcements: Linear relationships Quiz Tuesday 1/24/17
A bowling ally charges $5 for shoe rental, and then $6 per game.
How can you determine if the relationship between total cost and number of games is linear? Explain.
Classwork: Today class was about connecting graphs, tables, and equations to linear relationships. The common thread is that linear relationships have a CONSTANT RATE OF CHANGE. In a graph, a constant rate of change creates a line. In a table, a constant rate of change causes the numbers to change in the same predictable pattern. In an equation, if there is a number that multiplies by the independent variable to get the dependent variable, again, there is a constant rate of change thus a linear relationship. We look at taxi charges ($6 initial fee and $6 per mile), party planners ($8 per person plus $50 setup fee) and like scenarios.
Students should be able to extend their knowledge of proportional relationships. Remember, proportional relationships are linear relationships (has a constant rate of change) that happen to ALSO go through the origin.