Precalculus I CP

CP

Core lessons, guided notes, and practice resources for each unit.

Course Documents

  1. Opening Day Handout

Unit 1 - Trigonometric Functions and Exact Values

  1. Lesson 1: Simplifying Radicals, Basics of Angles

    Discuss basic angle terminology and simplify radicals.

  2. Lesson 2: Trigonometric Ratios

    Use SOH-CAH-TOA to find missing parts of right triangles.

  3. Lesson 3: Special Right Triangles

    Find side lengths in 30-60-90 and 45-45-90 triangles.

  4. Lesson 4: The Distance Formula

    Calculate distance between two points using the distance formula.

  5. Lesson 5: Application Problems (Elevation/Depression)

    Solve word problems involving angles of elevation and depression.

  6. Lesson 6: Angles in Standard Position

    Measure standard-position angles, signs, and coterminal angles.

  7. Lesson 7: Reference Angles

    Use reference angles in trigonometry problems.

  8. Lesson 8: Radian Measure of Angles

    Convert between degrees and radians.

  9. 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

  1. Lesson 1: Graphing Sine and Cosine

    Build parent graphs with transformations and analyze domain/range.

  2. Lesson 2: Introducing Horizontal Shift

    Extend trig graph transformations by adding horizontal shifts.

  3. Lesson 3: Applications of Sinusoidal Functions

    Build sine/cosine models from real contexts and make predictions.

  4. Lesson 4: Graphing Secant and Cosecant

    Use sine/cosine helper functions to graph secant and cosecant.

  5. 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

  1. Lesson 1: Basic Trigonometric Identities

    Use reciprocal, cofunction, ratio, and Pythagorean identities.

  2. Lesson 2: Proving Trigonometric Identities

    Verify trigonometric identities algebraically.

  3. Lesson 3: Sum and Difference Formulas

    Evaluate trig expressions using sum and difference formulas.

  4. Lesson 4: Double-Angle Formulas

    Derive and apply double-angle formulas for problem solving.

Unit 4 - Trigonometric Equations

  1. Lesson 1: Solving Trigonometric Equations

    Solve trig equations with reference-angle methods, identities, and factoring.

  2. 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

  1. Lesson 1: The Law of Sines

    Solve oblique triangles using the Law of Sines.

  2. Lesson 2: Ambiguous Case of the Law of Sines

    Analyze SSA cases with 0, 1, or 2 possible triangle solutions.