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1st: Pre-Calculus 2nd: Planning 3rd: Calculus 4th: Pre-Calculus

School Phone: 334-874-1680 E-mail: [email protected]

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 problem solving abilities; and develop logical reasoning skills.

Text- Pre-Calculus *Prentice Hall Mathematics* aa Calculus *Prentice Hall Mathematics*

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.

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.

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** ** 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.

** ** Verbal warning Student teacher discussion Parent notification Detention Office referral

** ** 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 Graphs of composite trigonometric functions Inverse trigonometric functions Solving problems with trigonometry Week 12 and 13 Week 14 and 15 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 16 through 18