Florida B.E.S.T. MA.912.GR.7.2
The Standard
Given a mathematical or real-world context, derive and create the equation of a circle using key features.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students identify a circle's center and radius from coordinates, a graph, or a situation. They calculate missing features and write the equation in standard form.
What Mastery Looks Like
- Students can use a center and point, diameter endpoints, or details from a context to write a circle equation. They verify that the center, radius, and given points fit the equation.
Common Misconceptions
- Students often reverse the signs of the center coordinates in the equation. They may use the radius instead of its square, or mistake a diameter for a radius.
How to Assess It
- Exit ticket: A circle has diameter endpoints at (2, 6) and (8, 10). Find its center and radius, then write its equation.
Lesson moves
Ways to Teach It
Plot a center and boundary point on grid paper, draw the circle with a compass, then write its equation.
Ask students to explain why a center at (3, -2) produces the factors (x - 3) and (y + 2).
Use card sets showing graphs, centers and radii, and equations, then have pairs race to make matching groups.
Map a sprinkler's location and reach on a coordinate grid, then write an equation for the boundary of the watered area.
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Related Standards
- MA.912.GR.7.6
Given a mathematical or real-world context, derive and create the equation of an ellipse using key features.
- MA.912.GR.7.8
Given a mathematical or real-world context, derive and create the equation of a hyperbola using key features.
- MA.912.GR.7.4
Given a mathematical or real-world context, derive and create the equation of a parabola using key features.
- MA.912.GR.7.3
Graph and solve mathematical and real-world problems that are modeled with an equation of a circle. Determine and interpret key features in terms of the context...
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