ACT Math
Lesson Plan
Unit circle values (key angles)
Goals / Objectives
Evaluate sine, cosine and tangent exactly at the key angles in all four quadrants, by combining the reference angle's magnitude with the quadrant's sign
State that a point on the unit circle at angle $\theta$ has coordinates $(\cos\theta, \sin\theta)$, explain why from the right-triangle ratios with hypotenuse $1$, and use it to explain why angles past $90°$, such as $120°$, have trig values
Determine the sign of sine, cosine and tangent in each of the four quadrants, from the coordinates and by ASTC
Find the reference angle for an angle in Quadrant II, III or IV
State the values of sine, cosine and tangent at the quadrantal angles $0°$, $90°$, $180°$ and $270°$, including the angles where tangent is undefined
Standards
F 704. Exhibit knowledge of unit circle trigonometry F 705. Match graphs of basic trigonometric functions with their equations F 706. Use trigonometric concepts and basic identities to solve problems G 509. Express the sine, cosine, and tangent of an angle in a right triangle as a ratio of given side lengths
Academic Vocabulary
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Enrichment
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Anticipatory Set / Bell Work
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Modeling
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Homework
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