Florida B.E.S.T. MA.912.GR.3.3
The Standard
Use coordinate geometry to solve mathematical and real-world geometric problems involving lines, circles, triangles and quadrilaterals.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students use coordinates, slope, distance, midpoint, and equations to find missing measures and describe figures. They select calculations that prove a claim or solve a practical problem.
What Mastery Looks Like
- Students can classify a figure from its coordinates and support the classification with calculations. They can find missing lengths, points, or equations and explain what each result means in context.
Common Misconceptions
- Students may reverse the slope ratio, lose negative signs, or assume perpendicular lines have the same slope. They may confuse radius with radius squared in a circle equation or trust a sketch instead of calculating.
How to Assess It
- Exit ticket: Given A(-1,1), B(3,1), C(5,4), and D(1,4), classify ABCD and justify your answer using slopes and distances.
Lesson moves
Ways to Teach It
Build a floor coordinate grid with tape, place four labeled points, then measure and calculate to classify the quadrilateral.
Write a proof for whether A(0,0), B(4,2), and C(8,4) lie on one line, using slopes.
Play Coordinate Shape Bingo: call vertex sets, and students calculate slopes or lengths to mark the matching shape.
Use a school site map to place a circular fountain, then calculate its center, radius, boundary equation, and clearance from a path.
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Printable MA.912.GR.3.3 Worksheet
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Related Standards
- MA.912.GR.3.4
Use coordinate geometry to solve mathematical and real-world problems on the coordinate plane involving perimeter or area of polygons.
- MA.912.GR.6.3
Solve mathematical problems involving triangles and quadrilaterals inscribed in a circle.
- MA.912.GR.3.2
Given a mathematical context, use coordinate geometry to classify or justify definitions, properties and theorems involving circles, triangles or quadrilaterals...
- MA.912.GR.3
Use coordinate geometry to solve problems or prove relationships.
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