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

Not in our source material

Materials

No slides or practice set for this standard yet

Enrichment

This lesson’s brief has no Differentiation

Accommodations

Not in our source material

Anticipatory Set / Bell Work

This lesson’s brief has no Suggested Activities

Check for Understanding

This lesson’s brief has no Formative Assessment or Assessment Ideas

Guided Practice

No slides or practice set for this standard yet

Independent Practice

No slides or practice set for this standard yet

Pacing

This lesson’s brief has no Pacing