Pre-Calculus Academic Library

UNIT 7 – APPLICATION OF TRIGONOMETRIC FUNCTIONS

1. Trigonometric Functions of Any Angle
   • Quadrants and Angles
   • Example: Determine Trig Function Values Given a Point on the Terminal Side of an Angle
2. Quiz 1: Trigonometric Functions of Any Angle
3. More Trigonometric Functions of Any Angle
   • Solving for a side in right triangles with trigonometry 
   • Angle of Elevation and Depression Right Triangle Trig
4. Quiz 2: Trigonometric Functions
5. Applied Problems
   • Intro to vectors and scalars  
   • Vector Application
   • Ex: Vector Application – Find the Resultant Vector
6. Law of Cosines
   • Law of Cosines 
   • Law of Cosines to Determine Grade 
7. Quiz 3: Law of Cosines
8. Law of Sines
   • Law of Sines 
   • ​​Law of Sines for Missing Angles 
   • Ambiguous Case Part 1​  
   • Ambiguous Case Part 2
9. Quiz 4: Law of Sines
10. Vectors
    • Introduction to Vectors
    • Intro to vectors and scalars  
    • Recognizing vectors  
    • An Introduction to vectors Part 1
    • Magnitude and Direction of a Vector, Example 1
11. Operations with Vectors
    • Vector Operations
12. Applications of Vectors
    • Vector Applications
13. More Applications (Refer to your lesson material along with presentations from your Ignitia lessons and previous video instructional presentations for this assignment)
14. Quiz 5: More Applications
15. Inclined Plane Applications
    • Inclined Plane Force Components  
16. Navigation Application
    • Precalculus – Navigation Problems
17. Quiz 6: Additional Application Problems
18. Test
19. Alternate Test
20. Glossary and Credits

UNIT 9 – QUADRATIC EQUATIONS

1. The Circle
   • Radius and Center for a Circle Equation in Standard Form  
2. The Circle Continued
   • Completing the Square to Write Equation in Standard Form of a Circle
   • Finding the Center-Radius Form of a Circle by Completing the Square – Example 3
3. Equation from Three Points
   • Circles 1.3 Finding Equation Given 3 Points
4. Equation from Three Points Applied
   • Ex 1: Find Standard Equation of a Circle Given the Endpoints of a Diameter
   • The Perpendicular Distance of a Point to a Line
5. The Ellipse
   • Conic Section: Intro to Ellipses  
   • Another Standard Equation of Ellipse and Latus rectum
   • What is Eccentricity of an Ellipse?
6. The Ellipse: Standard Form
   • Conics and Completing the Square: Ellipses
   • Ex: Write the General Equation of an Ellipse in Standard Form and Graph (Horizontal)
7. The Ellipse: General Form
   • Conic Sections: The Ellipse part 2 of 2
8. The Ellipse Applied
   • 2 How to write the equation of an ellipse given the vertices and center 
   • Conic Sections, Ellipse : Find Equation Given Eccentricity and Vertices
9. Quiz 1: Quadratic Equations
10. The Parabola
    • Conic Sections, Parabola : Find the Focus and Directrix 
    • Conic Sections: Parabolas, Part 1
    • Conic Sections: Parabolas, Part 2 (Directrix and Focus)
11. The Parabola Continued
    • Graphing Parabolas in Standard Form
12. The Parabola: Standard Form
    • Graphing Parabolas in Standard Form
13. The Parabola Applied
    • Find maximum height of ball
    • Conic Sections, Parabola : Find Equation of Parabola Given the Focus
14. The Hyperbola
    • Graphing Hyperbolas in Standard Form
15. Quiz 2: Quadratic Equations
16. Translation
    • Lesson on Graphing Translations
17. Translation of Equations
    • Conic Section Translations PT 1
18. Rotation
    • Conic Sections 
19. Rotation of Equations
    • Graphing (Roughly!) a Rotated Conic Section
    • Conic Sections — Rotations
20. Quiz 3: Quadratic Equations
21. Test
22. Alternate Test
23. Glossary and Credits

UNIT 11 – CALCULUS AND REVIEW

1. Functional Notation
   • Evaluating with Function Notation  
2. Difference Quotient
   • The Difference Quotient – Example 1
   • The Difference Quotient – Example 2
3. Limits
   • Introduction to Limits 
   • Limit Properties 
   • Limits and Infinity 
4. Quiz 1: Limits
5. Slope of a Curve
   • Slope of a Line Secant to a Curve 
   • Tangent Slope as Limiting Value of Secant Slope Example3 
6. Slope of a Line
   • 1 Finding the Slope of a Tangent Line – Example 1
   • 1 Finding the Slope of Tangent Line – Example 2
   • 1 Finding the Slope of a Tangent Line – Example 3
   • Finding the Slope of a Function at a Point
7. Angle Between Curves
   • Differentiation Angle between 2 curves
8. Quiz 2: Slopes & Curves
9. Review: Relations and Functions (The review sections are representative problems of material covered in previous units, please refer to those units as needed)
10. Review: Trigonometric and Circular Functions
11. Review: Identities and Multiple Angle Functions
12. Review: Inverse Trig Functions; Polar Coordinates; Quadratic
13. Review: Probability and Calculus
14. Quiz 3: Reviews
15. Test
16. Alternate Test
17. Glossary and Credits