Florida B.E.S.T. MA.8.AR.4.3

Math8th GradeDevelop an understanding of two-variable systems of equations.

The Standard

Given a mathematical or real-world context, solve systems of two linear equations by graphing.

Florida B.E.S.T. Standards for Mathematics

Teacher's field guide

What Students Need to Do: Students graph two linear relationships on the same coordinate plane. They locate the intersection and explain what its coordinates mean. They also identify when the lines never meet or completely overlap.
What Mastery Looks Like: Students graph both lines accurately with a clear scale and labeled axes. They give the intersection as an ordered pair and verify it in both equations. They recognize parallel lines and identical lines as special cases.
Common Misconceptions: Students may graph each line on a different coordinate plane or treat the y-intercepts as the solution. They may reverse x and y in the ordered pair. They may also assume every pair of lines has one solution.
How to Assess It: Exit ticket: Graph y = 2x + 1 and y = -x + 7 on one coordinate plane. State the solution and verify it in both equations.

Lesson moves

Tape a coordinate grid on the floor, then have students use two lengths of string to model lines and mark their intersection.
Ask students to explain why an intersection point makes both equations true, using coordinates from a completed graph.
Give pairs equation cards and graph cards, then have students race to match each system with its solution graph.
Graph two phone plans with different starting fees and monthly costs, then identify when the total costs are equal.

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