Unit 5: Graphing Equations

The focus of this unit is graphing linear equations; graphing linear systems is included for depth after using scatter plots with the line of best fit as an application of graphing linear equations. Comparing proportional relationships & comparing proportional/non-proportional relationships is a way to introduce the graphing of systems & the meaning of its solution(s) as well as the meaning of the regions before & after the solution.  Additional depth apart from graphing systems includes examining the number of solutions to a linear system, solving systems algebraically (a re-engagement if done in Unit 2), and problem solving with systems.  Further depth around graphing a single linear equation includes examining similar slope triangles and the derivation of y=mx & y=mx+b from the slope formula.  The examination of linear relationships in this unit prepares students to compare linear & non-linear growth in the next unit where linear & nonlinear functions are introduced for the first time.  Graphing to/from qualitative features is also in the following unit.