Solving+Systems+by+Graphing

- I wanted to try more of a "discovery" approach to graphing systems. I have each group graphing the same system and identifying what they think the solution is and why...but then they have different extension questions to discuss and present to the class. Some extensions were easier than others-
 * [[file:Alternative Systems Explorations revised.doc]]- alternate version of activity above- includes recording sheets for students to record while other groups present what they found out during their extensions.

Graphing Systems is a two page worksheet...students practice graphing two equations, identifying the point of intersection, and justifying the solution. The second page extends by having students look at the number of solutions when graphing parallel or identical lines.

Seven word problems where both equations in the system are "naturally" written in slope intercept form Each problem asks students to write a system, solve it, and explain what the solution means in the context of the problem. Then each problem has an extension question that can be solved with the system.

-Exploration for determining what the system looks like when a pair of perpendicular lines is graphed.

-I've never used this before but it looks like fun! If you have access to two motion detectors (CBR or CBL- check with your science departments), this is about determining the point where two people walking will pass one another. Let me know if you try it!

- ...compares systems with one, no, or an infinite number of solutions and their graphs. Source: iisanumber.blogspot.com