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 $\sin(A+B) \neq \sin A + \sin B$
State the double-angle formulas for sine, cosine and tangent, and the sum and difference formulas for sine and cosine with the sign behaviour that distinguishes them
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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Enrichment
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Accommodations
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Anticipatory Set / Bell Work
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Modeling
Check for Understanding
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Guided Practice
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Independent Practice
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Homework
Pacing
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