Florida B.E.S.T. MA.912.AR.9.2
The Standard
Given a mathematical or real-world context, solve a system consisting of a two-variable linear equation and a non-linear equation algebraically or graphically.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students find values that make a linear equation and a nonlinear equation true at the same time. They use substitution or graphs to locate all solutions and interpret them as ordered pairs.
What Mastery Looks Like
- Students choose substitution or graphing and find every intersection. They give solutions as ordered pairs, check them in both equations, and explain what they mean in context.
Common Misconceptions
- Students may solve for x but forget to find the matching y-values. They may miss a second intersection, trust a rough graph as exact, or fail to check solutions in both equations.
How to Assess It
- Give the system y = x + 1 and y = x² - 1. Ask students to solve it, list all ordered pairs, and verify each pair.
Lesson moves
Ways to Teach It
Graph a line and parabola on separate transparent sheets, overlay them, mark each intersection, then verify the points by substitution.
Ask students to compare graphing and substitution, then write when each method gives exact answers and when it gives estimates.
Run a card match with system cards, graph cards, and solution cards, requiring students to justify each completed set.
Model a ball’s parabolic path and a ramp’s linear height, then find where the ball reaches the ramp.
Free download
Printable MA.912.AR.9.2 Worksheet
A ready-to-print activity worksheet aligned to MA.912.AR.9.2, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetKeep exploring
Related Standards
- MA.912.AR.9.9
Given a mathematical or real-world context, solve a system of three-variable linear equations algebraically.
- MA.912.AR.9.1
Given a mathematical or real-world context, write and solve a system of two-variable linear equations algebraically or graphically.
- MA.8.AR.4.3
Given a mathematical or real-world context, solve systems of two linear equations by graphing.
- MA.912.AR.9.3
Given a mathematical or real-world context, solve a system consisting of two-variable linear or non-linear equations algebraically or graphically.
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.