Goal: Students will develop strategies to solve problems with 2 unknowns.
Students will develop the concept of a solution to a system of equations.

Determine the students' prior knowledge of solving systems of equations.
Students will be able to solve a problem with 2 unknowns systematically.
Students will identify solutions and nonsolutions to a system of equations using graphs,
tables and equations and be able to justify why a particular set of values is a solution.

Research questions

A. What kinds of tasks are worthwhile for groups of students to work on productively? and
B. How can we ensure individual accountability and productive cooperation when groups are working?

Goals and objectives for our lesson

  • surface students' existing knowledge of systems and solutions
  • the uniqueness of solutions for consistent, independent systems
  • concept that the graph represents all the points that satisfy particular equations