# Pre-Calculus Academic Library

*Second Semester*

## Pre-Calculus Second Semester

**UNIT 7 – APPLICATION OF TRIGONOMETRIC FUNCTIONS**

**Trigonometric Functions of Any Angle****Quiz 1: Trigonometric Functions of Any Angle****More Trigonometric Functions of Any Angle****Quiz 2: Trigonometric Functions****Applied Problems****Law of Cosines****Quiz 3: Law of Cosines****Law of Sines****Quiz 4: Law of Sines****Vectors****Operations with Vectors****Applications of Vectors****More Applications***(Refer to your lesson material along with presentations from your Ignitia lessons and previous video instructional presentations for this assignment)***Quiz 5: More Applications****Inclined Plane Applications****Navigation Application****Quiz 6: Additional Application Problems****Test****Alternate Test****Glossary and Credits**

##### **UNIT 8 –** **INVERSE TRIGONOMETRIC FUNCTIONS AND POLAR COORDINATES**

**The Inverse Sine Function****Quiz 1: The Inverse Sine Function****The Inverse Cosine Function****Quiz 2: The Inverse Cosine Function****The Inverse Tangent Function****Quiz 3: The Inverse Tangent Function****Other Inverse Functions****Quiz 4: Other Inverse Functions****Graphs of Inverse Functions****Quiz 5: Graphs of Inverse Functions****Graphing Polar Coordinates****Quiz 6: Graphing Polar Coordinates****Converting Coordinates****Quiz 7: Converting Coordinates****Converting Cartesian Equations to Polar Equations****Quiz 8: Converting Cartesian Equations to Polar Equations****Converting Polar Equations to Cartesian Equations****Graphing Polar Equations****Quiz 9: Converting and Graphing Polar Equations****Project: DeMoivre’s Theorum****Test****Alternate Test****Glossary and Credits**

**UNIT 9 –** **QUADRATIC EQUATIONS**

**The Circle****The Circle Continued****Equation from Three Points****Equation from Three Points Applied****The Ellipse****The Ellipse: Standard Form****The Ellipse: General Form****The Ellipse Applied****Quiz 1: Quadratic Equations****The Parabola****The Parabola Continued****The Parabola: Standard Form****The Parabola Applied****The Hyperbola****Quiz 2: Quadratic Equations****Translation****Translation of Equations****Rotation****Rotation of Equations****Quiz 3: Quadratic Equations****Test****Alternate Test****Glossary and Credits**

**UNIT 10 –** **COUNTING PRINCIPLES**

**Definitions, Sample Spaces, and Probability****Addition of Probabilities****Multiplication of Probabilities****Quiz 1: Probability****Definitions****Permutation of N Things: Different****Permutation of N Things: Not All Different****Circular Permutations****Combinations****Binomial Theorem****Quiz 2: Probability**-
**Arithmetic and Geometric Sequences** **Summation****Arithmetic and Geometric Sequences****Quiz 3: Arithmetic and Geometric Sequences****Proofs by Mathematical Inductions****Test****Alternate Test****Glossary and Credits**

**UNIT 11 –** **CALCULUS AND REVIEW**

**Functional Notation****Difference Quotient****Limits****Quiz 1: Limits****Slope of a Curve****Slope of a Line****Angle Between Curves****Quiz 2: Slopes & Curves****Review: Relations and Functions***(The review sections are representative problems of material covered in previous units, please refer to those units as needed)***Review: Trigonometric and Circular Functions****Review: Identities and Multiple Angle Functions****Review: Inverse Trig Functions; Polar Coordinates; Quadratic****Review: Probability and Calculus****Quiz 3: Reviews****Test****Alternate Test****Glossary and Credits**

**UNIT 12 – SEMESTER REVIEW AND EXAM**

**Review****Exam****Alternate Exam—Form A****Alternate Exam—Form B**

**Unit 13 FINAL EXAM**

**Final Exam****Alternate Final Exam—Form A****Alternate Final Exam—Form B**