Graphing Sine and Cosine with the Unit Circle
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Objective
I can construct the graphs of y = sin(θ) and y = cos(θ) by transferring coordinates from the unit circle.
Part 1 of 3
Warm-up video
Unknown Channel · 5:00
We don't generate video — this one is by Unknown Channel 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 3
Practice
2 questions
Explain how the sine and cosine values change as you move counter-clockwise around the unit circle, starting from 0 radians. Specifically, describe the values at 0, π/2, π, and 3π/2 radians.
Imagine unwrapping the unit circle and laying it flat to create the x-axis of a graph. If the y-axis represents the sine value, sketch the resulting graph from 0 to 2π. Explain how the key points on the unit circle (0, π/2, π, 3π/2, 2π) correspond to the maximum, minimum, and zero values on the sine graph.
Part 3 of 3
Exit ticket
Quick comprehension check
“On the unit circle, what is the y-coordinate at θ = π/2? How does this value relate to the graph of y = sin(θ)? On the unit circle, what is the x-coordinate at θ = π? How does this value relate to the graph of y = cos(θ)?”
Sample answer included in the free materials
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