Functions - Systems - Predicting Outcomes
This is an introduction to systems of equations. Students use their knowledge of functions to construct two equations, complete a function table, and create a graph. The students are required to reflect and analyze every step of the way. This lesson starts with what the kids know and helps them grow painlessly! The students think they are discovering new stuff on their own, and they internalize it. In future, more complex systems, all I have to do is mention the Tortoise and Hare and the kids just "get it"!
I have used this in centers, small groups, and whole class discussions. It is particularly good for students who may struggle with math and need real world (fantasy in this case) applications to get it. My more advanced students have lots of success with this in a center.
This file contains a three page recording sheet or guided notes for the students and three pages of answers and explanations. Along with the recording sheets, I'm including a PowerPoint file with 23 slides that will help lead the students through the lesson process. The slides include discussion questions, brain breaks (videos), tables and graphs for students to "show what they know", standardized test practice, and just plain fun that will engage any middle school student!
Functions versus Equations
-----> Slope & y-intercepts
Intersection Points (Break-even points)
Table & Graph Interpretation
SIX Standardized Test Questions
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Writing functions, making tables & graphs all in a display perfect for an awesome math bulletin board
Great practice sheet to find solutions to systems using equations
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