Florida B.E.S.T. MA.912.T.2
B.E.S.T. Standard (Benchmark Cluster)
Extend trigonometric functions to the unit circle.
Florida B.E.S.T. Standards for Mathematics
Cluster contents
Benchmarks in This Standard
MA.912.T.2 is a B.E.S.T. standard. These are the benchmarks under it.
- MA.912.T.2.1
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 be...
- MA.912.T.2.2
Define the six basic trigonometric functions for all real numbers by identifying corresponding angle measures and using right triangles drawn in the unit circle...
- MA.912.T.2.3
Determine the values of the six basic trigonometric functions for 0, π/6, π/3 and π/4 and their multiples using special triangles.
- MA.912.T.2.4
Use the unit circle to express the values of sine, cosine and tangent for π-x, π+x, and 2π-x in terms of their values for x, where x is any real number.
- MA.912.T.2.5
Given angles measured in radians or degrees, calculate the values of the six basic trigonometric functions using the unit circle, trigonometric identities or te...
Teacher's field guide
What This Cluster Means
What Students Need to Do
- Students represent angles as rotations around a unit circle. They use each point’s coordinates to define sine and cosine, then find tangent from their ratio.
What Mastery Looks Like
- Students locate angles in standard position and use unit-circle coordinates to find exact trigonometric values. They handle degree and radian measures, signs by quadrant, and coterminal angles correctly.
Common Misconceptions
- Students may swap sine and cosine coordinates or assign signs based only on the reference angle. They may also confuse degrees with radians or treat tangent as a coordinate.
How to Assess It
- Give an exit ticket: For an angle of 5π/6, draw its terminal side and find exact values of sine, cosine, and tangent.
Lesson moves
Ways to Teach It
Build a floor unit circle with tape, then place labeled angle cards and coordinate cards at the correct points.
Ask students to explain why cosine is negative and sine is positive at 2π/3 using coordinates and quadrants.
Play unit-circle matching with cards showing angles, coordinates, and exact sine, cosine, or tangent values.
Model a Ferris wheel seat with unit-circle coordinates, then graph its horizontal and vertical positions through one rotation.
Free download
Printable MA.912.T.2 Worksheet
A ready-to-print activity worksheet aligned to MA.912.T.2, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetKeep exploring
Related Standards
Turn this cluster into a lesson
Grade, subject, topic, and the complete cluster are prefilled. Create one free, no account needed.