Reflection: Safety The Groupon Question: Solving Two Variable Equations - Section 1: Launch


I was very impressed by how smoothly the launch for this lesson went.  In my lesson narrative, I tried to have questions that would prompt students to think about various aspects of this task. This included items such as:

  1. the meaning of the intercepts
  2. rational values,
  3. connecting the points

Interestingly, my students came up with both the values of (0,25) and (25,0) as well as the value (12.5, 12.5) without any prompting.  This led to a more student led discussion (which is always better) where those students discussed why they chose those particular points.  

We were able to work off of the (12.5,12.5) value to determine that there would be many other combinations that we may have missed which would necessitate drawing a line through all of the points.  The students were also able to discuss how to come up with the equation x+y=25 and show that all of the values we graphed made this equation true.  

As you can see in the image, students were very precise in their point plotting. As more and more students added points you could hear them starting to discuss the fact that it was going to form a straight line.  The closing activity for this lesson also served to drive home the point that every point on the line was a solution to the equation given.

  Safety: Launch-Reflection
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The Groupon Question: Solving Two Variable Equations

Unit 8: Extending Equations
Lesson 10 of 13

Objective: SWBAT solve an equation in two variables and use the equation to model a situation

Big Idea: An equation in two variables can have many solutions which are represented as ordered pairs in the coordinate plane.

  Print Lesson
Math, two variables, Algebra, ordered pairs, linear equations (graphs), equation, solution, equation
  40 minutes
solving two variable equations image cropped
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