Maryland Math 8.AT.B.5.a
The Standard
- 8.AT.B.5
- Analyze and solve systems of two linear equations in two variables.
Interpret the solution to a system of two linear equations as the point where their graphs intersect and verify that the coordinates of the intersection satisfy both equations.
Maryland College and Career Ready Standards for Mathematics (2025) · MAKE SENSE OF AND SOLVE EQUATIONS, INEQUALITIES, AND SYSTEMS OF EQUATIONS.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students graph two linear equations and find where the lines cross. They substitute that point’s coordinates into both equations to check that it solves each one.
What Mastery Looks Like
- A student labels the intersection as an ordered pair. They show that substituting its coordinates makes both equations true.
Common Misconceptions
- Students may read the coordinates in the wrong order or choose a point that is close to the crossing. Some check the point in only one equation.
How to Assess It
- Have students graph y = x + 2 and y = -x + 6. Ask them to label the intersection and substitute its coordinates into both equations.
Lesson moves
Ways to Teach It
Plot y = x + 2 and y = -x + 6 on graph paper, then check the crossing in both equations.
Ask partners: Why does (2, 4) solve both y = x + 2 and y = -x + 6?
Match cards showing two equations to coordinate cards, then substitute each point into both equations to keep or reject the match.
Graph two phone plans, $10 plus $2 per gigabyte and $4 plus $5 per gigabyte, and find when their costs match.
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Printable 8.AT.B.5.a Worksheet
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