ACT Math
Lesson Plan
Pythagorean identity and basic trig identities
Goals / Objectives
State the Pythagorean identity sin^2theta + cos^2theta = 1 and explain why it holds for any angle using the unit circle
Rearrange the Pythagorean identity to isolate sin^2theta or cos^2theta, and use the result to find one trig value given another and the quadrant
Derive tan^2theta + 1 = sec^2theta and 1 + cot^2theta = csc^2theta by dividing the Pythagorean identity by cos^2theta or sin^2theta
Apply quotient identities (tantheta = sintheta/costheta, cottheta = costheta/sintheta) to convert between trig functions
Simplify trig expressions and solve identity problems with the Pythagorean identities
Standards
F 706. Use trigonometric concepts and basic identities to solve problems F 704. Exhibit knowledge of unit circle trigonometry
Academic Vocabulary
Not in our source material
Remediation
Enrichment
This lesson’s brief has no Differentiation
Accommodations
Not in our source material
Anticipatory Set / Bell Work
Modeling
Check for Understanding
This lesson’s brief has no Formative Assessment or Assessment Ideas
Guided Practice
Independent Practice
Homework
Pacing
This lesson’s brief has no Pacing