Maryland Math G.GPE.C.10

MathGrades 9–12EXPRESSING GEOMETRIC PROPERTIES WITH EQUATIONS

The Standard

Plot points on a polar coordinate grid.

Maryland College and Career Ready Standards for Mathematics (2025) · Polar Coordinates.

Teacher's field guide

What Students Need to Do: Students use an angle and a distance to locate a point on a polar grid. They turn from the 0° ray, then move out the given number of rings.
What Mastery Looks Like: Given (4, 120°), a student finds the 120° ray and marks the fourth ring. They can explain why (4, 300°) lands somewhere else.
Common Misconceptions: Some students read (3, 60°) as three units right and 60 units up. Others measure positive angles clockwise or mistake a radial line for a distance ring.
How to Assess It: On a polar grid with 30° rays and unit rings, have students plot (3, 60°) and (2, 150°). Ask them to write how they found the first point.

Lesson moves

Give pairs a printed polar grid and string; one holds the string along the 60° ray while the other marks the third ring.
Have partners plot (3, 60°) and (3, 240°), then explain why the points are in different places.
Call out coordinates while students mark points on reusable polar grids, then hold up their grids for a quick check.
On a radar grid with one-mile rings and east as 0°, have students plot a storm four miles away at 90°.

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