Pre-Calculus
(The following are under continuous revision. If you see any typos or other mistakes in files, please let me know! Thanks!)
Miscellaneous
- Scope & Sequence
- Course Welcome Letter
- Course Informational Brochure
- Pre-Calculus Course Standards
- Math Blunders: Mr. Reddy's Grading Pet Peeves
- Typing Math: Equation Editor Guide
Unit 1: Algebra Review
- Unit Plan
- Helpful Algebra Review Informational Packet (CN)
- Basic Algebra Review (CW)
- Algebra Review (HW)
- Factor Puzzle (CW)
- More Algebra Review (HW)
- Asymptotes of Rational Functions (CN)
- Mixed Review 1 (CN)
- Even More Algebra Review (HW)
- Mixed Review 2 (CN)
- Mixed Review 3 (CN)
- Final Algebra Review Packet (HW)
- Algebra Review Standards Quiz 1.1, Part 1*
- Algebra Review Standards Quiz 1.1, Part 2*
Unit 2: Exponential & Logarithmic Functions
- Unit Plan
- Laws of Exponents (CN)
- Radical Properties & Simplifying Radical Expressions (CN)
- Rationalizing Denominators (CN)
- Exponential Function General Form, Curve Fitting, Graphing & Introductory Applications (CN)
- Exponential Modeling: Compound & Continuous Growth/Decay (CN)
- Mock Quiz 2.1 (CW)
- Exponential Functions Standards Quiz 2.1*
- Exponential Relay (CW)
- Exponential Modeling Benchmark: Functions in the Real World (P)
- Exponential & Logarithmic Inverse Relationship (CW)
- Logarithmic General Form, Evaluation & Graphing (CN)
- Properties of Logs & Solving Equations (CN)
- Change of Logarithmic Base & The Natural Log (CN)
- Solving Application Problems with Logs (CN)
- Review for Quiz 2.2 (CN)
- Logarithmic Functions Standards Quiz 2.2*
Unit 3: Piecewise Functions & Transformations
- Unit Plan
- Into & Graphing Piecewise Functions (CN)
- More Piecewise Graphs & Piecewise Application (CN)
- Defining Piecewise Functions & Continuity (CN)
- Piecewise Function Application Mini-Project (P)
- Review for Quiz 3.1 (HW)
- Final Review for Quiz 3.1 (CW)
- Piecewise Functions Standards Quiz 3.1*
- Even and Odd Functions (CN)
- Function Transformations: Translation (CN)
- Function Transformations: Dilation (CN)
- Mock Quiz 3.2 #1 (HW)
- Mock Quiz 3.2 #2 (CW)
- Transformations of Functions Standards Quiz 3.2*
Unit 4: Trigonometry
- Unit Plan
- Central Angles Around a Circle (CN)
- Special Angle Measures: Degrees vs. Radians (CN)
- The Trigonometric Unit Circle & Trigonometric Functions (CN)
- Trigonometric Unit Circle Standards Pop-Quiz 4.0*
- Evaluating Trigonometric Expressions (CN)
- Trigonometric Standards (Mini-)Quiz 4.1*
- Sinusoidal Functions: Graphing & General Form (CN)
- Tangent Functions: Graphing & General Form (CN)
- Transformations of Trigonometric Functions (CN)
- Transformations Benchmark: Modeling with Transformations of Trigonometric Functions (P)
- Graphing Reciprocal Functions (CN)
- Reference vs. Related Angles (CN)
- Special Trigonometric Evaluations (CN)
- Review for Quiz 4.2 (HW)
- Mock Quiz 4.2 (HW)
- Trigonometric Standards Quiz 4.2*
- Inverse Trigonometric Functions (CN)
- Solving Bounded Trigonometric Equations (CN)
- Solving Unbounded Trigonometric Equations (CN)
Unit 5: Trigonometric Identities
- Unit Plan
- Trigonometric Identities (CN)
- Proofs with Trigonometric Identities (CN)
- Review for Quiz 5.1 (CN)
- Trigonometric Standards Quiz 5.1*
- Sum and Difference Formulas (CN)
- More Practice with Sum and Difference Formulas (CN)
- Double Angle Identities (CN)
- Law of Sines (CN)
- Law of Cosines (CN)
- Law of Sines/Cosines Applications Practice (CW)
- Formulas/Identities Reference Sheet (CN)
- Trigonometric Standards Quiz 5.2*
- Identities Benchmark: Trigonometric Live Derive (P)
Unit 6: Polar & Parametric Systems
- Unit Plan
- Polar Coordinates & Polar/Rectangular Conversion (CN)
- Graphing Polar Coordinates and Equations (CN)
- More Polar Graphing (CN)
- Polar Families (CN)
- Polar Artwork (CW)
- Solving Polar Systems (CN)
- More Polar System Solving (CN)
- Applications of Polar Systems (CN)
- Polar Functions Mock Quiz 6.1 (CW)
- Polar Functions Standards Quiz 6.1*
- Parametric Systems (CN)
- Applications of Parametric Systems (CN)
- Another Parametric Application (CN)
- Review for Quiz 6.2 (CN)
- Parametric Systems Standards Quiz 6.2*
- Polar Systems Benchmark: Polar Application (P)
- Advanced Systems Benchmark: Polar and Parametric Application (P)
- Creative Systems Benchmark: Choose Your Own Polar/Parametric Adventure (P)
Unit 7: Limits of Functions
- Unit Plan
- Defining Limits & Evaluating Via Graphing (CN)
- Evaluating Limits Via Direct Substitution (CN)
- Evaluating Limits Via Algebraic Manipulation & Properties of Limits (CN)
- Limits Approaching Infinity & Evaluating Via Inspection (CN)
- Limits Mock Quiz 7.1 (CW)
- Final Review for Quiz 7.1 (CW)
- Limits Standards Quiz 7.1*
- Slope and Limits (CN)
- More Practice with Slopes (CN)