Trigonometry & Pre-Calculus Print
Trigonometry/Pre-Calculus prepares students to continue on to Calculus. The first semester is a study of trigonometric functions, their graphs, and applications. Students will learn to solve right triangles and how to apply the Law of Sines and the Law of Cosines. In the second semester, students will explore various types of functions, such as: radical, rational, polynomial, exponential, and logarithmic functions. They will also learn about polar coordinates, complex numbers, sequences, and series. Algebra 1, Algebra 2, and Geometry are prerequisites for this course.
A Texas Instruments TI-30 calculator is recommended. Algebra 1, Algebra 2, and Geometry are prerequisites for this course.
REQUIRED BUT NOT PROVIDED-
TI-84 Plus Graphing Calculator
1. Convert angle measures between measurement units.
2. Classify triangles by angles or side lengths.
3. Use properties of similar triangles to solve problems.
4. Solve trigonometric functions for angle measures and side lengths.
5. Solve trigonometric functions in terms of Cartesian coordinates and right triangles.
6. Approximate trigonometric functions.
7. Use trigonometric functions to solve word problems.
8. Evaluate trigonometric functions in degree or radian measures.
9. Find the arc length of a circle given the radius and central angle measure.
10. Find the area of a sector given the radius and central angle measure.
11. Determine Whether a Function is One-to-One
12. Determine the Inverse of a Function Using a Map, Set, Equation, or Graph of the Function
13. Solve Exponential and Logarithmic Equations
14. Convert Exponential Statements to Logarithmic Statements and Logarithmic Statements to Exponential Statements
15. Evaluate Operations on Logarithmic Functions
16. Use Exponential and Logarithmic Functions to Create and Evaluate Exponential Growth and Decay Problems
17. Plot Points Using Polar Coordinates
18. Convert between Polar and Rectangular Coordinates
19. Transform Equations between Polar and Rectangular Forms
20. Graph Polar Equations
21. Plot Points in the Complex Plane
22. Use De Moivre’s Theorem
23. Find Complex Roots
24. Analyze Conics
25. Analyze and Graph Polar Equations of Conics
26. Graph Parametric Equations
27. Find a Rectangular Equation for a Curve Defined Parametrically
28. Solve Systems of Equations by Substitution or Elimination
29. Identify and Solve Inconsistent Systems of Equations Containing Two or Three Variables
30. Write the Augmented Matrix of a System of Linear Equations
- Chapter #1: Trigonometric Functions
- Chapter #2: Acute Angles and Right Triangles
- Chapter #3: Radian Measure and the Unit Circle
- Chapter #4: Graphs of the Circular Functions
- Chapter #5: Trigonometric Identities
- Chapter #6: Inverse Circular Functions and Trigonometric Equations
- Chapter #7: Applications of Trigonometry and Vectors
- Chapter #1: Graphs
- Chapter #2: Functions and Their Graphs
- Chapter #3: Linear and Quadratic Functions
- Chapter #4: Polynomial and Rational Functions
- Chapter #5: Exponential and Logarithmic Functions
- Chapter #9: Polar Coordinates
- Chapter #10: Analytic Geometry
- Chapter #11 Systems of Equations and Inequalities
- Chapter #12 Sequences; Induction; the Binomial Theorem
- Chapter #13 Counting and Probability