Degrees, Radians, Sine, and Cosine in Quadrant 1
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Objective
I can convert between degree and radian measures for angles in the first quadrant and determine the sine and cosine.
Part 1 of 4
Warm-up video
Professor Dave Explains · 9:48Vetted channel
We don't generate video — this one is by Professor Dave Explains on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 concepts
- 1
The unit circle is a circle with a radius of one superimposed on the coordinate plane, with its center at the origin.
- 2
Every point on the unit circle has an X coordinate equal to cosine θ and a Y coordinate equal to sine θ.
- 3
The sine values for angles in the first quadrant start at the X axis with a value of √0/2, then climb to √1/2, √2/2, √3/2, and finally √4/2 at the Y axis.
Part 3 of 4
Practice
8 questions
What are the coordinates of the point on the unit circle that corresponds to an angle of 0 radians?
Explain how the unit circle relates the cosine and sine of an angle to the coordinates of a point on the circle.
Part 4 of 4
Exit ticket
Quick comprehension check
“An angle measures π/3 radians. What is its measure in degrees? Also, what are the sine and cosine of this angle?”
Sample answer included in the free materials
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Teacher Guide
Complete lesson plan with answer keys and alternate activities
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