Wyoming Math 8.EE.8b
The Standard
Analyze and solve pairs of simultaneous linear equations. Solve systems of two linear equations in two variables with integer solutions by graphing the equations.
2023 Wyoming Mathematics Content and Performance Standards · Analyze and solve linear equations and pairs of simultaneous linear equations.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students graph two linear equations on the same coordinate grid. They find where the lines cross and check that the ordered pair works in both equations.
What Mastery Looks Like
- A student chooses a clear scale and plots both lines accurately. They name the intersection with x first and y second, then check it in both equations.
Common Misconceptions
- Students may use different scales for the two lines or mistake a y-intercept for the intersection. Some reverse the coordinates or check the point in only one equation.
How to Assess It
- On an exit ticket, have students graph y = x + 2 and y = 8 − 2x on one grid. Ask them to write the intersection and check it in both equations.
Lesson moves
Ways to Teach It
Use colored yarn on a coordinate grid poster to graph y = x + 1 and y = 5 − x; mark their crossing.
Graph y = 2x + 1 and y = 7 − x; explain why the crossing point solves both equations.
Play intersection bingo: call out equation pairs while students graph them on mini whiteboards and cover the matching coordinates on bingo cards.
Graph bike rentals costing $6 plus $3 per hour or $2 plus $5 per hour; find when both shops charge the same.
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Printable 8.EE.8b Worksheet
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