Wyoming Math A.REI.6
The Standard
Estimate solutions graphically and determine algebraic solutions to linear systems, focusing on pairs of linear equations in two variables.
2023 Wyoming Mathematics Content and Performance Standards · Solve systems of equations.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students graph two lines and estimate where they cross. They use substitution or elimination to find the exact solution, then check it in both equations.
What Mastery Looks Like
- A student can read an approximate intersection from a graph and find its exact coordinates with algebra. They can explain why parallel lines have no solution.
Common Misconceptions
- Students may use a line’s x-intercept instead of the point where the lines cross. They may reverse x and y in the ordered pair or check their answer in only one equation.
How to Assess It
- Exit ticket: Graph 2x + y = 8 and x − y = 1. Estimate the intersection, solve algebraically, and check your answer in both equations.
Lesson moves
Ways to Teach It
Give students graph paper and rulers to plot 2x + y = 8 and x − y = 1, then mark their intersection.
Ask: Why must the intersection satisfy both equations? Have students write an explanation using the point (3, 2).
Make cards with equation pairs and solution points; students match them, then check each match by substitution.
Pose a ticket problem: 20 tickets sold for $130, with adult tickets at $8 and student tickets at $5. Find each count.
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Printable A.REI.6 Worksheet
A ready-to-print activity worksheet aligned to A.REI.6, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
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