Precalculus I CP
CPCore lessons, guided notes, and practice resources for each unit.
Course Documents
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Opening Day Handout
Unit 1 - Trigonometric Functions and Exact Values
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Lesson 1: Simplifying Radicals, Basics of Angles
Discuss basic angle terminology and simplify radicals.
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Lesson 2: Trigonometric Ratios
Use SOH-CAH-TOA to find missing parts of right triangles.
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Lesson 3: Special Right Triangles
Find side lengths in 30-60-90 and 45-45-90 triangles.
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Lesson 4: The Distance Formula
Calculate distance between two points using the distance formula.
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Lesson 5: Application Problems (Elevation/Depression)
Solve word problems involving angles of elevation and depression.
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Lesson 6: Angles in Standard Position
Measure standard-position angles, signs, and coterminal angles.
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Lesson 7: Reference Angles
Use reference angles in trigonometry problems.
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Lesson 8: Radian Measure of Angles
Convert between degrees and radians.
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Lesson 9: Exact Trigonometric Values
Use quadrants, reference angles, and the unit circle for exact values.
Unit 1 quiz resources: Review Set 1, Completed Set 1, Review Set 2, Review Set 3, Completed Set 3, More Review, and Completed More Review.
Unit 2 - Graphs of Trigonometric Functions
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Lesson 1: Graphing Sine and Cosine
Build parent graphs with transformations and analyze domain/range.
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Lesson 2: Introducing Horizontal Shift
Extend trig graph transformations by adding horizontal shifts.
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Lesson 3: Applications of Sinusoidal Functions
Build sine/cosine models from real contexts and make predictions.
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Lesson 4: Graphing Secant and Cosecant
Use sine/cosine helper functions to graph secant and cosecant.
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Lesson 5: Graphing Tangent and Cotangent
Analyze and graph tangent/cotangent parent functions and transformations.
Unit 2 quiz/graded-classwork resources: Review and Completed Review.
Unit 3 - Trigonometric Identities
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Lesson 1: Basic Trigonometric Identities
Use reciprocal, cofunction, ratio, and Pythagorean identities.
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Lesson 2: Proving Trigonometric Identities
Verify trigonometric identities algebraically.
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Lesson 3: Sum and Difference Formulas
Evaluate trig expressions using sum and difference formulas.
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Lesson 4: Double-Angle Formulas
Derive and apply double-angle formulas for problem solving.
Unit 4 - Trigonometric Equations
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Lesson 1: Solving Trigonometric Equations
Solve trig equations with reference-angle methods, identities, and factoring.
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Lesson 2: Inverse Trigonometric Functions
Evaluate inverse trig functions and compositions.
Midterm review packet: blank, answer key, alternate version, and alternate key.
Unit 5 - Law of Sines, Law of Cosines, Triangle Area
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Lesson 1: The Law of Sines
Solve oblique triangles using the Law of Sines.
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Lesson 2: Ambiguous Case of the Law of Sines
Analyze SSA cases with 0, 1, or 2 possible triangle solutions.