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**Instructor: **Coach Kelvin Lett

**Unit Credit: **1 math credit

**Grade Level: **12th

**Teacher’s Schedule **

1st: Pre-Calculus

2nd: Planning

3rd: Calculus

4th: Pre-Calculus

**Teacher’s Contact Information **

School Phone: 334-874-1680

E-mail: kelvin.lett@selmacityschools.org

**Course Description**

This course provides students who have met the admission requirements for

Selma City Schools but have not attained the additional algebraic and trigonometric skills that they need to have a reasonable chance of being successful in a calculus course the opportunity to acquire those skills. The students will investigate and explore the characteristics of the following types of functions: linear, polynomial, exponential, logarithmic, and trigonometric. Students will sketch graphs of the above functions.

Students will also solve equations and inequalities involving the above topics.

This course also fulfills the Selma City Schools requirements for ACT Prep and therefore seeks to impart the following objectives for a ACT Prep mathematics course: students should be able to improve and refine mathematical problemsolving abilities; and develop logical reasoning skills.

**Required Text(s) **

Text- Pre-Calculus *Prentice Hall Mathematics* aa

Calculus *Prentice Hall Mathematics*

**Assessment / Evaluation of Student Progress **

Students will be assessed using a variety of styles and instruments. Homework will be graded on completeness. Students will take daily quizzes to check for understanding of new content. Students will also complete formal chapter tests as well.

**Grading Procedures **

All assignments will be grade on correct points out of total points possible. The final average will be the total accumulated points divided by the total possible points.

**Grading Scale **

**A **100-90

**B** 89-80

**C** 79-70

**D** 69-65

**F** 64-0

**Homework Policy **

Homework will be assigned and checked for completeness unless otherwise stated.

Students are expected to always show work on homework assignments.

**Missed Work / Make-up Policy**

It is the student’s responsibility to find out what work he/she needs to make-up when absent. Students will have three days to make up any work missed.

**Attendance Policy **

Attendance is imperative. To get the most out of the course and be successful, it is important to be present daily. Make sure the student reads the Code of Conduct for exact information on the Truancy Policy and unexcused absences.

**Tardy Policy**

First through third tardies will be warnings. The fourth tardy will result in a phone call home and detention. The other tardies will result in detention. If the tardies become habitual, then the consequence will be a referral and SAP.

Rules for Student Behavior / Discipline Policy ** **

Expectations: ** **

Be on time and ready to learn.

Bring necessary materials to class.

Respect others and the property of others.

Follow all rules of Selma High School.

Consequences: ** **

Verbal warning

Student teacher discussion

Parent notification

Detention

Office referral

Communication with Parents and Students ** **

Teachers will keep parents informed of the child’s progress through phone calls, mid-term progress reports, report cards, parent conferences, and email.

Pre-Calculus and Calculus Assessments

Week 2 and 3 Prerequisites

Real numbers

Quadratic Equations

Properties of Exponents

Fractional Expressions

Absolute Value Expressions and

Equations

Solving inequalities algebraically and graphically

Solving Rational Equations

Polynomials and factoring

Interval Notation and Set-builder

Notation

1. Functions and Graphs

Modeling and equation solving

Functions and their properties

Twelve basic functions

Building functions from functions

Graphical transformations

Modeling with functions

Week 2 and 3

Week 4 and 5 2. Polynomial, power, and rational functions

Linear and quadratic functions and modeling

Power functions with modeling

Polynomial functions of Higher degree with modeling

Real zeros of polynomial functions

Complex zeros and the fundamental theorem of algebra

Graphing of rational functions

Solving equations on one variable

Solving inequalities in one variable

3. Exponential, Logistic, and logarithmic functions

Exponential and logistic functions

Exponential and logistic modeling

Logarithmic functions and their graphs

Properties of logarithmic functions

Equation solving and model

Mathematics of finance Compound

Week 6 and 7

Interest

7. Systems and matrices

Solving systems of two equations

Matrix algebra

Multivariate linear systems and row operations

Partial fractions

Systems of inequalities

8. Analytic geometry in two and three dimensions

Conic sections and parabolas

Ellipses

Hyperbolas

Translations and rotation of axes

Polar equations of conics

Three-dimensional Cartesian coordinate system

Week 8 and 9

Week 10 and 11

4. Trigonometric functions

Angles and their measures

Trigonometric functions of acute angles

Trigonometry extended: the circular functions

Graphs of sine and cosine

Graphs of tangents, cotangent, secant, and cosecant

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Graphs of composite trigonometric functions

Inverse trigonometric functions

Solving problems with trigonometry

5. Analytic Trigonometry

Fundamental identities

Proving trigonometric identities

Sum and difference identities

Multiple-angle identities

The law of sines

The law of cosines

6. Applications of trigonometry

Polar coordinates

Graphs of polar equations

De Moivre’s theorem and nth root (optional)

Week 12 and 13

Week 14 and 15

Week 16 through 18