Two placemat activities include practice writing and solving systems of linear equations from context / word problems. Placemat #3 includes “ age ” word problems. Placemat #4 includes “ mixture " or " percent ” word problems.
With a partner, students solve all four equations on the placemat. After both students agree on the answers or solutions for all problems on the page, they then add the answers together to find the “Sum”. The teacher easily and quickly checks the “Sum” to evaluate the students’ understanding which allows the students to know if they made a mistake.
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.
8.EE.C.8c Solve real-world and mathematical problems leading to two linear equations in two variables.
CCSS: Solve systems of equations.
HSA.REI.C.5 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.
CCSS: Create equations that describe numbers or relationships.
HSA.CED.A.3 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.
Print several copies of the placemat on one color of paper and slide them into plastic page protectors. The students can use dry erase markers on the plastic and easily wipe off their work when finished. Sometimes I print two different placemats with similar topics, each on their own color of paper, and put them back-to-back into the plastic page protectors.
This activity works well at the beginning of a lesson when students are actively learning a new skill and can also be used as a review.
The instructions are clearly marked on the students’ page and the answer key is included.
Included in the package:
Two placemat activities, each with four problems and space to write the “Sum” of the solutions.
-Linear Systems in Context 3 (“age” problems)
-Linear Systems in Context 4 (“percent” problems)
Answer Keys for Teacher
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