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Inside Collection: Advanced Algebra II: Teacher's Guide
Like all our topics so far, this unit reviews something the students covered in Algebra I—but it goes deeper.
Begin by having them work their way through the assignment “Distance, Rate, and Time” in pairs. Most of it should be pretty easy, including getting to the general relation
Until the last question, that is. Let them work on this for a while. Some will get all the way, some will not get very far at all. But after they’ve been at it for a while, tell them to stop working and pull them back to a classwide discussion. Show them how to set up
Toward the end, see if they remember that there are three ways of solving these equations. Two of them, Substitution and Elimination, will be covered tomorrow. Tonight, on homework, we are going to solve by graphing. Your big job is to drive home the point that since a graph represents all the points where a particular relationship is true, therefore the place where the two graphs intersect is the point where both relationships are true. Also talk about the fact that graphing is not 100% accurate (you sort of eyeball a point and say “it looks like around this”) and how to check your answer (plug it back into both equations).
“Homework: Simultaneous Equations by Graphing”
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This work is licensed by Kenny M. Felder under a Creative Commons Attribution License (CC-BY 2.0), and is an Open Educational Resource.
Last edited by Kenny M. Felder on Apr 15, 2009 3:50 pm -0500.
"This is the "teacher's guide" book in Kenny Felder's "Advanced Algebra II" series. This text was created with a focus on 'doing' and 'understanding' algebra concepts rather than simply hearing […]"