Florida B.E.S.T. MA.912.T.2.1
The Standard
Given any positive or negative angle measure in degrees or radians, identify its corresponding angle measure between 0° and 360° or between 0 and 2π. Convert between degrees and radians.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students reduce any degree or radian angle to one full-turn interval by adding or subtracting complete rotations. They convert angle measures using 180° = π radians.
What Mastery Looks Like
- Students quickly rewrite angles such as 810° or −5π/2 within one full turn. They convert accurately between forms and recognize coterminal angles.
Common Misconceptions
- Students may add or subtract 180° instead of a full 360° rotation. They may reverse the degree-radian conversion factor or include 360° and 2π as final representatives instead of 0.
How to Assess It
- Exit ticket: Rewrite −765° in the interval [0°, 360°), then convert that result to radians.
Lesson moves
Ways to Teach It
Use a paper-plate unit circle and movable radius to model 450°, −210°, 5π/2, and −7π/6.
Ask students to explain why 0° and 360° share a terminal side but only 0° belongs in [0°, 360°).
Run a card sort matching degree angles, radian angles, and coterminal representatives within one full turn.
Track a Ferris wheel seat through positive and negative rotations, then report its final angle in degrees and radians.
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Printable MA.912.T.2.1 Worksheet
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