Precalculus

Syllabus

Richmond Community High school

Math Analysis/Trigonometry

Instructor: Maggie Vallejos

Phone number: (804) 780-4332 EXT. 203 Room 203

Website: www.mvatrchs.yolasite.com

Course Description

This course is designed for students who are planning to take Calculus and are interested in a math or science related career. Students in this course will study functions and their graphs, polynomial and rational functions, exponential and logarithmic functions, trigonometry, analytic trigonometry and other related topics.

Prerequisite:

A grade of “C” or better in Algebra II.

Instructional Goals:

1- Students should be able to work with families of functions represented in a variety of ways: graphical, numerical, analytical, or verbal. They should understand the connections among these representations.

2- Students will learn to model real-life problems mathematically by utilizing plane trigonometry.

3- Students should be able to develop an understanding of the language of mathematics, logic of procedures, and interpretation of results.

4- Students should be able to use technology to help solve problems, experiment, interpret results, and verify conclusions.

5- Students who complete the Math Analysis/ Trigonometry course will be able to continue their studies with calculus and other advanced mathematics.

Textbook :

Precalculus by Larson and hostetler, 6TH edition.

Every student will be issued a textbook and will be responsible for returning the book in good condition at the end of the semester.

Grading:

Grades are based on a variety of assessments, which include but are not limited to the following:

1- Tests (30 %)

2- Quizzes (30%)

3- Classwork (including notebooks) (20%)
4- Homework (15%)

5- Class participation (05%)

Grading scale

100 % - 92% = A | 91% - 83% = B | 82% - 74% = C | 73 % - 65 % = D | 64 % & below = F

Materials:

TO BE BROUGHT TO CLASS EVERY DAY

Graphing Calculator (TI-83 or TI-84 models recommended)

Quadrille Composition Notebook

Pencils

Folder

Assesments:

The majority of tests and exams will be in class, closed book, and closed notes. There may be calculator and non-calculator sections on these assessments. Policies for any take-home assessments will be discussed when assigned.

A variety of assessments are used which include quizzes, tests, and projects. Even when the calculator is used the student will be expected to show the setup of the problem and possibly explain the solution process. Grading is based on a points system. Homework assignments range from 2-10 points. Tests are worth 100 points and quizzes range from 20-100 points. Since this is an upper level math course, there are no retests. However, you may earn back 10 points on any failing test by staying after school and reworking problems. Also, since I am training our students for a timed test, unless the student has an IEP, there will be NO EXTENDED TEST TIME.

Missing tests are very serious. If you are going to be absent excused for a test, you must either make arrangements prior to a planned absence to make up test. For an unplanned absence, you will take the test immediately upon return to school and I (as well as the main office) must be notified by a doctor, parent or guardian that your absence was excused.

In an effort to maximize student performance, teachers at RCHS have agreed to limit the number of tests to a maximum of two per day. If the student has more than two tests scheduled on any day, the student should notify the teachers involved to change the test schedule.

Quizzes:

Following a discussion and processing of homework, a quiz may be given to check understanding of the topics covered in that set of homework or in previously processed homework.

Classroom Expectations: To perform well in class, the student should:

· attend class and actively participate

· bring notebook, calculator and appropriate materials to class each day

· take careful notes of in-class examples and discussion

· read the textbook and all handouts carefully

· work many problems including, but not limited to assigned homework

· work/discuss/contribute in a group setting

· explore mathematics with the use of technology

· if necessary, take advantage of tutoring opportunities

Consequences of misbehavior:

Step one: conference with the student.

Step two: parental contact.

Step three: office referral.

Note: While students are not graded based upon their behavior, misbehaving will likely affect their achievement in class.

Pacing Guide

Course title: Math Analysis/Trigonometry

Instructor: Maggie Vallejos

Text: Precalculus by Larson and Hostetler, 6TH edition.

Week	Topic	Resources
September	Background topics and review	Text Book and study guide
September-October	Trigonometry	Text Book and study guide
November	Analytic Trigonometry	Text Book and study guide
December	Additional Topics in Trigonometry	Text Book and study guide
January-February	Exponential and logarithmic functions	Text Book and study guide
March- April	Functions and their graphs	Text Book and study guide
May- June	Polynomial and rational functions	Text Book and study guide

Topics outline:

1- Trigonometry

A) Radian and degree measure

B) Trigonometric functions: the unit circle

C) Right triangle trigonometry

D) Trigonometric functions of any angle

E) Graphs of sine and cosine functions

F) Graphs of other trigonometric functions

G) Inverse trigonometric functions

H) Applications and models

2- Analytic trigonometry

A) Using fundamental identities

B) Verifying trigonometric identities

C) Solving trigonometric equations

D) Sum and difference formulas

E) Multiple angle and product to sum formulas

3- Additional topics in trigonometry

A) Law of sines

B) Law of cosines

4- Exponential and logarithmic functions

A) Exponential functions and their graphs

B) Logarithmic functions and their graphs

C) Properties of logarithms

D) Exponential and logarithmic equations

E) Exponential and logarithmic model

5- Functions and their graphs

A) Graphs of equations

B) Linear equations in two variables

C) Analyzing graphs of functions

D) A library of functions

E) Shifting, reflecting, and stretching graphs

F) Combinations of functions

G) Inverse functions

H) Mathematical modeling

6- Polynomial and rational functions

A) Quadratic functions

B) Polynomial functions of higher degree

C) Polynomial and synthetic division

D) Complex numbers

E) Zeros of polynomial functions

F) Rational functions

G) Partial fractions

Students must have the following supplies by Monday, September 12, 2011

*quadrille composition notebook (available at Staples/Office Max/Walmart)

*pencils (mechanical or wooden pencils with a sharpener)

*graphing calculator

*Recommended - TI-89 graphing calculator. I am aware some students may have already purchased some other graphing calculator and that is fine, but the TI-89 has Calculus capabilities that the others do not - ultimately it is your choice but they will need one for the course.

*Suggested:

· Pilot Frixion Erasable Gel Pens

Please call or email me if there is an issue/question/concern.

Supplies

Math Analysis students should have the following:

*quadrille composition notebook

*pencils (mechanical or wooden pencils with a sharpener)

*math tissues (extra credit)
*graphing calculator

*Recommended - TI-89 calculator. I am aware some students may have already purchased some other graphing calculator and that is fine, but the TI-89 has Calculus capabilities that the others do not - ultimately it is your choice.