ACT Math
Lesson Plan
Pythagorean identity and basic trig identities
Goals / Objectives
Use the Pythagorean and quotient identities to find a trig value from another value and the quadrant, to simplify a trig expression, and to recognize an equivalent form
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 choose the sign of the square root from 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
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