**Course syllabus**

# PRE-CALCULUS – (COLLEGE ALGEBRA) 2016 – 2017

**COURSE NUMBER: ** MTH 111

**INSTRUCTOR:** MR. SCOTT WORSHAM

**TEXTBOOK**: Advanced Mathematical Concepts: Precalculus with Applications by Holliday, B., Cuevas, G., McClure, M., Carer, J., & Marks, D. Glencoe McGraw-Hill, 2001.

**CONTACT INFO:** E-mail: sworsham@creswell.k12.or.us & Work Phone: 541-895-6031

**OFFICE HOURS:** 7:45 – 8:15 AM (Before School), 12:43-1:31 (Prep Period), & 3:15 – 3:45 (After School)

**LENGTH: **1/2 YEAR

**GENERAL COURSE DESCRIPTION:**

** **

**Pre-Calculus **–is actually two separate courses: Algebra and Trigonometry. Pre-calculus prepares students for calculus the same way as pre-algebra prepares students for Algebra I. While pre-algebra teaches students many different fundamental algebra topics, Pre-calculus does not involve calculus, but explores topics that will be applied in calculus. It often involves covering algebraic topics that might not have been given attention in earlier algebra courses.

At Creswell High School, Pre-Calculus is designed to prepare college-bound students for a first course in Calculus, providing a needed transition between high school and college. The first semester will primarily focus on the study of Algebra. Students will investigate a variety of functions including polynomial, rational, exponential, and logarithmic functions and their inverses. Emphasis will be slightly more abstract algebraic manipulations than that in other math courses. Some topics of discrete mathematics may be included, such as recursion and mathematical induction. Application and technology will be integral parts of this course and **a graphing calculator (TI-83 or TI-84) will be required** as students will gain important graphing skills that will include analyzing graphs of functions. Students are required to do work outside of class time in the form of homework and study to prepare for success on quizzes and tests.

**COURSE OBJECTIVES:**

** **Upon successful completion of the course, you should be able to do the following:

- Write and graph linear functions
- Apply the midpoint formula, distance formula, properties of lines, and equations of circles to the solution of problems from coordinate geometry.
- Solve systems of linear equations of two & three variables.
- Use, apply and evaluate functions that include domain, range, increasing, decreasing, maximum & minimum values, symmetry, odd, even, composition of functions, and inverses.
- Use substitution to create an equation defining one quantity as a function of another.
- Apply principles of transformations (shifts, reflections, and stretches) to equations and graphs of functions.
- Recognize, sketch, and interpret the graphs of the basic functions without the use of a calculator
- Identify and apply properties of polynomial functions.
- Identify and apply properties of rational functions with and without a calculator.
- Identify and apply properties of exponential and logarithmic expressions and functions.
- Analyze a function by interpreting its graph, using a graphing calculator
- Translate a set of numerical data into graphical form, choose a function (linear or exponential) to model data, and interpret the implications of the model
- Translate word problems into mathematical expressions, solve the problems, and interpret the solutions.
- Use the language and skills of precalculus that are important for success in calculus.
- Write and evaluate the notation of sequences and series including nth terms, summations, and factorials.

**GRADING**:

88 – 89 B+ 78 – 79 C+ 68 – 69 D+ 0 – 59 F

93 – 100 A 83 – 87 B 73 – 77 C 63 – 67 D

90 – 92 A- 80 – 82 B- 70 – 72 C- 60 – 62 D-

**QUIZZES / TESTS / WORK SAMPLE** 50%

(a) Quizzes will be taken midway through a chapter.

(b) Tests will be taken at the conclusion of each chapter

During quizzes and tests students will follow these guidelines:

(a)No communication between students. **Cell phones** need to be off and stored away. If you need clarification, raise your hand and I will make my way to your desk.

(b)When finished, grab a worksheet, and stay quiet until last person is done.

(c) Any sort of cheating will result in a ZERO!

(d) A quiz or test **missed** will be made up within **2 days** – before school, lunch (outside staff room), open class period, or after school in my classroom (Room 218).

(e) Students must finish the quiz or test in class.

(f) If not in attendance the day before a quiz or test (usually a Review day), then the student will still be required to take the quiz or test in class on the given exam day.

**RE-WORKS & RETAKES** are available on all quizzes and tests **except** for the FINAL EXAM. Re-Works & Retakes need to be accomplished within **2 days **of receiving the original quiz or test back. A student wishing to **re-work** their quiz or test must correctly demonstrate proficiency by writing down the problem, correctly showing any and all work step-by-step, and displaying the correct answer. Students will be given ½ credit for each problem correctly re-worked.

**HOMEWORK** 20%

(a) Assignments need to be finished and complete before the next day of class.

(b) A **Homework Packet** (3 – 5 pages) will be turned in before quizzes/tests.

(c) Late Homework Packets after the designated time on Turn-In Day will be penalized : **10%** **– 50%** depending on the lateness of the packet.

**FINAL EXAM** 25%

**WARM-UPS** 5% (DAILY)

(a) Be in your seat working on the warm-up problems by the time the bell rings.

(b) Warm-ups will be collected once a month (after 15 – 20 school days).

**LCC Credit**: Students are required to earn at least a 70% C- grade to earn Lane Community College Mathematics Credit.

**ATTENDANCE:**

Students must attend class regularly and be to class on time.

**Tardy**: Student’s arriving to class after the ‘start of class bell’ will be considered tardy. The **third** tardy in a grading period will result in an after school detention and every tardy thereafter.

**Absent**: Those students not in attendance or arriving later than 15 minutes into the class period will be considered absent. Students who have excused absences will be given extra time to complete missing assignments and make-up quizzes or tests.

**Teaching Methods****:**

Students will gain valuable knowledge and learn from multiple approaches in class that include:

- Cooperative Learning
- Think-Pair-Share
- Modeling (I Do), Guided Practice (We Do), & Independent Practice (You Do)
- Differentiated Instruction (Objectives, Scaffolding, Visuals, Graphic Organizers, and etc.)
- Class Discussion including some random question and answer sessions.

Semester 1 (Algebra: Relations, Functions, and Graphs & Discrete Math)

COURSE CONTENT |
CHAPTER |
DAYS |

– relations and functions, composition of functions, graphing linear equations, writing linear equations, writing equations of parallel and perpendicular lines, modeling real-world data with linear functions, piecewise functions, linear inequalitiesLinear Relations and Functions |
CH. 1 | 15 |

– solving systems of equations two variables & three variables, matrices, determinants & multiplicative inverses, systems of linear inequalities, linear programmingSystems of Linear Equations & Inequalities |
CH. 2 | 15 |

– symmetry & coordinate graphs, families of graphs, nonlinear inequalities, inverse functions and relations, continuity and end behavior, critical points and extrema, rational functions, direct, inverse, and joint variationThe Nature of Graphs |
CH. 3 | 15 |

– polynomial functions, quadratic functions, remainder & factor theorems, rational root theorem, locating zeros, rational equations & partial fractions, radical equations & inequalitiesPolynomial & Rational Functions |
CH. 4 | 15 |

– real exponents, exponential functions, the number e, logarithmic functions, natural logarithms. Modeling real-world data with exponential and logarithmic functionsExponential and Logarithmic Functions |
CH. 11 | 12 |

– arithmetic sequences & series, geometric sequences & series, infinite sequences & series, convergent & divergent series, sigma notation & the nth term, binomial theoremSequence and Series |
CH. 12 | 12 |

**Hints & Suggestions**

- When in doubt,
**Show Work**. - If you come across a problem that’s giving you trouble, then you should:

(a) Look at your notes for help (c) Ask a fellow classmate for help

(b) **Look in the book** for examples just like it (d) Put a **?** by it and skip it for now

- Do the
**REVIEW**, it can be used for help on the quiz/test and turned in for extra-credit. **Stay up**, not catch up. Turn Homework Packets in on time! (If late, turn in ASAP)- Always be ready to answer the
**Warm-up problems**.

** **

** **

**Materials Needed** : You are required to bring these materials to class every day.

1. Pre-Calculus Textbook 4. Notebook and/or Binder/Folder

2. Warm-up Book 5. **TI-83 or TI-84 Graphing Calculator**

3. Mechanical **Pencil** with an eraser

**You need a TI-83 or TI-84 Graphing Calculator to be successful in this class! Trust Me!**

**ACCESSIBILITY AND ACCOMMODATIONS**:

It is Lane’s goal that learning experiences be as accessible as possible. If you anticipate or experience physical or academic barriers based on disability, please let me know immediately so that we can discuss options. You may contact Disability Resources to discuss potential accommodations: (541) 463-5150 (voice); 711 (relay); Building 1, Room 218; or disabilityresources@lanecc.edu (e-mail). Please be aware that any accessible tables and chairs in this room should remain available for authorized students who find that standard classroom seating is not usable.