Trig/Pre-Calc Syllabus
Trigonometry/Pre-Calculus Syllabus
First Semester: Trigonometry Second Semester: Pre-Calculus
Textbook:
Advanced Mathematical Concepts
Pre-calculus with Applications
Glencoe
Prerequisite: Algebra 1, Geometry, and Algebra 2
General Description:
Trigonometry is a one-semester college prep course offered to juniors and seniors. Students will learn to define sinusoidal functions, draw their representative graphs, determine properties of each function and use the function as a mathematical model in applications. The activities and lessons describe Illinois State goals Seven, Eight and Nine.
Objectives:
1. Students will be able to use perimeter, area and volume to solve application problems. (7A/C)
2. Students will be able to solve problems involving angle measurement in polygons and circles. (7A/C)
3. Students will be able to use trigonometry to estimate distances that would be difficult to measure directly. (7B)
4. Students will be able to use the Pythagorean theorem to solve problems. (7A/C)
5. Students will be able to use trigonometric functions to model periodic phenomena. (8C/D)
6. Students will know the basic definitions of the trigonometric functions. (9D)
7. Students will be able to use trigonometric identities to transform expressions. (8C/D)
8. Students will be able to work problems that require the use of trigonometric functions. (9D)
9. Students will be able to graph functions in the polar coordinate system. (8B)
Outline:
Chapter 5 Trigonometric Functions and Right Triangle Problems
Chapter 6 Graphs of Trigonometric and Circular Functions
Chapter 7 Properties and Identities of Trigonometric and Circular Functions
Chapter 8 Vector Problems
Chapter 9 Polar Graphs and Transformations
Second Semester: Pre-Calculus
General Description:
Pre-Calculus is a one semester college level mathematics course. It helps students develop their proficiency in algebra and the use functions and graphs to solve problems applying the skills and concepts. Technology is use to highlight concept and encourages students to explore graphs for their properties. Students will have the opportunities to collect and interpret data, make conjectures and construct mathematical models. The activities describe Illinois State Goals six, eight and ten.
Objectives:
1. Students will be able to use matrices to organize data. (6A)
2. Students will be able to apply order properties of real numbers. (6B/C)
3. Students will be able to solve problems that require mastery of the elements of exponential arithmetic, including computations with rational powers and roots. (6B/C)
4. Students will be able to perform simple computations with matrices. (6B/C)
5. Students will be able to find mistakes in calculation, logic, conversion and formula application. (6A)
6. Students will be able to evaluate functions for given domains (8C/D)
7. Students will be able to find the domain and range of functions. (8C/D)
8. Students will be able to use the definition of function. (8B)
9. Students will be able to determine the nth term in an arithmetic or geometric sequence. (8A)
10. Students will be able to determine whether algebraic statements are true or false. (8A)
11. Students will be able to use properties of logarithms. (8C/D)
12. students, when given a graph of f(x), will be able to identify related graphs, such as f(-x) and f(x) + c. (8B)
13. Students will be able to use function notation to express common transformations of a graph in the coordinate plane. (8B)
14. Students will be able to solve problems that involve calculating distance, midpoint and slope using coordinate geometry. (9A)
15. Students will be able to match a data set to a graph. (10A/B)
16. Students will be able to make a reasonable approximation of the line of best fit from a set of data or a scatter plot. (10A/B)
17. Students will know the binomial coefficients in their combinatorial meaning. (10A/B)
18. Students will be able to calculate simple and compound probabilities. (10C)
Outline:
Chapter 1 Relations and Functions
Chapter 2 Systems of Linear Equations and Inequalities
Chapter 3 The Nature of Graphs
Chapter 10 Conics
Chapter 11 Exponential and Logarithmic Functions
Chapter 12 Sequences and Series
Homework:
Over night assignments are due at the beginning of the next day class period. Absent students will turn in work the day after their return. Each day’s assignments will be posted on the board.
Materials:
Students should bring the following materials to class each day:
Textbook
Binder
Loose leaf paper
Graphing/Scientific Calculator
Graph Paper
Grading Policy:
The district grading scale will be used in this class. A quarter exam based on the Illinois State Standards will be given at the end of each quarter. This exam will be worth one seventh of the student’s semester grade. The quarter grade will be determined in the following manner:
Homework: 10%
Classwork: 10%
Bellwork: 5%
Participation: 5%
Test: 40%
Quizzes: 10%
Projects: 20%
Follow up Courses: Calculus
