Mississippi Math A3.A.22
The Standard
Graph and solve quadratic inequalities.
2025 Mississippi College- and Career-Readiness Standards for Mathematics · Perform Operations on Expressions, Equations, Inequalities, and Polynomials
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students find where a quadratic expression is positive or negative and show those values on a number line. They also draw a parabola as a boundary and shade the points that satisfy an inequality.
What Mastery Looks Like
- A student finds the zeros, checks which intervals work, and marks endpoints as open or closed. On a coordinate graph, they use a dashed or solid parabola and shade the correct region.
Common Misconceptions
- Students may give only the zeros instead of the intervals between or outside them. They may include endpoints for < or >, or shade below a parabola when y is greater.
How to Assess It
- Exit ticket: Solve x²−4≤0 on a number line and graph y>x²−4 on coordinate axes. Show the endpoints, choose a dashed or solid parabola, and shade the solution.
Lesson moves
Ways to Teach It
Have pairs plot y=x²−4 on grid paper, place sticky dots above and below the curve, and shade where y>x²−4.
Ask: Why does x²−4≤0 give values between −2 and 2, while x²−4>0 gives values outside that interval?
Play interval sort: pairs match cards showing x²−9<0 and x²−9≥0 to shaded number lines, then explain each match.
Use h(t)=−5t²+20t+1 for a tossed ball; find when its height exceeds 16 meters and mark the time interval.
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Printable A3.A.22 Worksheet
A ready-to-print activity worksheet aligned to A3.A.22, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- A3.A.17
Solve polynomial and rational inequalities. Relate results to the behavior of the graphs.
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