This collaborative activity is a perfect way for students to practice finding the number of solutions of a system of equations. There are 9 cards for which students must determine the number of solutions by either graphing the equations or by solving for “y” and comparing the slopes and y-intercepts. In addition, there are 3 cards that simply state the “rules” for determining the number of solutions of a system.
This activity can be done individually or with a partner. Once they have determined the number of solutions, they need to glue the pieces onto the graphic organizer provided and attach their work. Working with a partner promotes discussion which leads to deeper understanding.
There is also an optional extension activity in which the students must write systems of their own having one, no, or infinite solutions. Through this activity, students demonstrate the highest level of understanding.
Complete answer key is included as well as a page of coordinate planes for those students who choose to graph the equations.
Common Core Standard:
Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection.
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