Instructor: Coach Kelvin Lett
Unit Credit: 1 math credit
Grade Level: 12th
Teacher’s Contact Information
School Phone: 334-874-1680
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.
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.
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.
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 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.
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
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.
Student teacher discussion
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
Properties of Exponents
Absolute Value Expressions and
Solving inequalities algebraically and graphically
Solving Rational Equations
Polynomials and factoring
Interval Notation and Set-builder
1. Functions and Graphs
Modeling and equation solving
Functions and their properties
Twelve basic functions
Building functions from functions
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
7. Systems and matrices
Solving systems of two equations
Multivariate linear systems and row operations
Systems of inequalities
8. Analytic geometry in two and three dimensions
Conic sections and parabolas
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
Graphs of composite trigonometric functions
Inverse trigonometric functions
Solving problems with trigonometry
5. Analytic Trigonometry
Proving trigonometric identities
Sum and difference identities
The law of sines
The law of cosines
6. Applications of trigonometry
Graphs of polar equations
De Moivre’s theorem and nth root (optional)
Week 12 and 13
Week 14 and 15
Week 16 through 18