To truly master the common core standard 8.EE.8, students must not only be able to find a solution to a system, but also have strategies to determine how many solutions a system has (one solution, no solutions, or infinitely many solutions). Additionally, they must be able to give justification for their response.
This sheet includes 4 systems with different numbers of solutions (2 with infinite, 1 with none, and 1 with one). Students must solve the systems and write an explanation for how many solutions it has.
Cooperative Learning Idea: This worksheet is divided into 4 squares. Organize students into teams of 4 of differing ability levels. Assign each student of the team a different problem to work on. Students get 3-5 minutes to solve their assigned problem. Explain to students that they will be teaching the rest of their team how they solved their problem. Number each corner of your room. Students move to the corner that corresponds to the number they worked on and compare their answers with one another. After opportunity to talk with others who completed the same problem, students move back to their teams. Starting with number 1, call one number at a time, and the student who worked on that number stands up and teaches the team. The other students complete the square on their paper.
Differentiation Idea: Number 1 is the simplest, 2 and 3 are medium, and 4 is more difficult. Assign problems based on students' ability levels.
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