Algebra II
View Activity ArchivesActivity:
Intersecting the Solution
Posted on Feb 4, 2010
Topic: Linear Systems
Students learn the relationship between the algebraic and graphical solutions and then create equations that draw upon this connection.
State Standards AlignmentDownloads
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Activity Key Steps:
In the first part of the activity, students will solve a system of equations algebraically and then use the Graphs & Geometry page to solve the system. In this comparison, students are to determine how the point of intersection relates to the algebraic solution.
Then, students will use minimized sliders to change the slope and y-intercept of two lines. Their goal is to change the lines so that they both intersect the point on the graph. Students should be encouraged to find more than one system of equations that work.
The last part of the activity can be used as an extension if time is limited. Students will change the two lines on the graph so that the system has no solutions and then has infinite many solutions. Discussion questions for all parts of the activity are given on the teacher document.