This lesson is designed to review and/or teach one step equations. There are three parts; Solving Equations where you need to add/subtract, Solving Equations where you need to multiply/divide, and Solving Equations where you need to multiply by the reciprocal. I split the class into groups of three. I try to group the students heterogeneously; a high achieving student with a mid-level student with a low achieving student. Each group is given one type of equation to solve. I photocopy each paper on a different color. Adding/subtracting on pink, multiplying/dividing on blue, and then multiplying by the reciprocal on yellow.
I give one color paper to each group. Typically, 2-3 groups are working on pink, 2-3 groups are working on blue, 2-3 groups are working on yellow.
Together, the students work through the problems on their respective worksheets, recalling how to solve a one-step equation by doing the inverse operation on both sides. As they work, I make sure that each group is on the right track. When students finish (or almost finish) their individual worksheets, I have them move and form groups with students with the other colored papers. So now we have groups of 3; one pink, one blue, one yellow.
Each student is now given copies of the worksheets that they did not complete yet. The student who completed the pink worksheet now teaches the other students how to solve the equations on the pink sheet. Once the students have worked through the problems on the pink, the student who completed the blue teaches his lesson. Finally, the student who completed the yellow worksheet makes sure his group members know how to solve those equations.
In the past, I have collected the worksheets after the first round so that new students that they are paired with do not simply copy the work of the student who already completed the problems. I will hand it back once the other students start working so that they "expert" student can check the work of his group members.
By the end of class, all students should be comfortable with how to solve each type of equation.