Twelve rounds include practice or review solving systems of linear equations using the graphing method, the substitution method and the linear combinations / elimination method. This activity includes a problem with “no solution” and another with “infinitely many solutions”.
Students work with a partner while seated at their desks. They should write in their own notebook or on the blank Answer Sheet (included).
At the same time the first pair of students is working on Problem 1, the second pair works on Problem 2, the third pair works on Problem 3, etc. At the teacher’s signal, all students pass their problem in a specific direction. The students who started with Problem 2 should now pass it to the students who started with Problem 1, the students who started with Problem 3 pass it to the students who started with Problem 2, etc. The first pair of students starting with Problem 1 should deliver their finished problem to the last pair of students, or the teacher may prefer to deliver these each time. Students now flip over their new page to find the ANSWER to the problem they just finished.
Students continue to work problems in order, pass problems and check their answers on the back of the next problem page until they have completed all problems included in the activity.
It is important for the teacher to tell the entire class when to pass their first problem and to tell everyone where to look for the first answer on the back of their NEXT problem. After this first pass together, I’ve allowed students to work and pass problems at their own pace. Teachers may prefer to set a timer so all students pass their current problem to the next pair of students simultaneously.
This activity works well in the middle of a lesson while students are actively practicing a new skill or can be used as a review.
The answer key is built into the activity so students check for accuracy themselves.
CCSS: Analyze and solve pairs of simultaneous linear equations.
8.EE.C.8 Analyze and solve pairs of simultaneous linear equations.
8.EE.C.8a Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
8.EE.C.8b Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection.
CCSS: Solve systems of equations.
HSA.REI.C5 Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
HSA.REI.C.6 Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
Print single-sided copies and slide pages into plastic page protectors to keep problems and answers together. Put Problem 1 and ANSWER Problem 12 back-to-back in the same plastic page protector; put Problem 2 and ANSWER Problem 1 back-to-back in another plastic page protector, Problem 3 and ANSWER Problem 2 together, etc. Prepare 2 or more complete sets of the activity to have enough pages for each pair of students in the class. Keep complete sets in order.
It is very important to hand out problems in numerical order so the page with the answer on the back follows its problem number. As you hand out problems in order, problem side up, tell each pair of students the direction they should pass their problem when finished. This direction may vary by row if you zig-zag or “snake” up and down the rows of desks. The first pair of students starting with Problem 1 should deliver their finished problems to the last pair of students, or you may prefer to deliver these each time.
(Optional) Print enough copies of the blank Answer Sheet for each student to use as they work the problems. Another option is for students to write in their own notebooks.
Included in the package:
• Twelve “Problem Pass” pages
• Answer pages for students to self-check
• Blank answer sheet for students (optional)
• Answer Key for Teacher
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This purchase is for one teacher only.
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