ACT Math
Lesson Plan
Double-angle and sum/difference formulas (basic awareness)
Goals / Objectives
Recognize when a double-angle or sum/difference formula applies, including inside a larger problem, and substitute into it to evaluate an expression
Show with a numerical counterexample that $\sin(2x) \neq 2\sin(x)$ and $\sin(A+B) \neq \sin A + \sin B$
Choose the correct double-angle formula for sine, cosine or tangent, or sum or difference formula for sine or cosine, from a list of candidates, using the sign behaviour that distinguishes the cosine formulas
Evaluate an exact trig value at a non-landmark angle such as $75°$ by writing it as a sum or difference of two landmark angles
Standards
F 706. Use trigonometric concepts and basic identities to solve problems F 704. Exhibit knowledge of unit circle trigonometry
Academic Vocabulary
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Materials
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Remediation
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Anticipatory Set / Bell Work
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Modeling
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Homework
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