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Blue Springs School Room #: District Pre-AP Calculus 1 credit 2014-2015 Teacher: Laura A Stiles Plan: 1st hr., 7:25-8:13 School Phone Number: 816.229.3459 EXT 50092 Email: [email protected] Remind: Text - (573)768-8977, message: @stilespc Course Description This course is designed for those students with a strong background in Algebra II and Geometry. This rapidly paced course will prepare students for the rigors of AP Calculus. It is designed to go into algebraic and trigonometric concepts in the detail needed for AP Calculus. One honor point may be earned for successful completion of this full-year course at the end of the year. Textbook Larson, Ron, and Robert P. Hostetler. Precalculus. Boston: Houghton Mifflin, 2004. Required Course Materials Pencil/Paper Notebook dedicated to notes/homework Graphing Calculator (TI-83, TI-84, or equivalent) Grade Scale A 90% - 100% B 80% - 89% C 70% - 79% D 60% - 69% F 0% - 59% Weighted Grading Scale Grades are calculated using a weighted scale and will adhere to the following categories and percentages. Percentages are based on overall portion of the final semester grade. 15% - Homework 85% - Tests Assignments - 15% Homework will be assigned on a daily basis. It will consist of worksheets and problems assigned out of the textbook. Worksheet assignments will be due at the beginning of class the next day. Problems out of the textbook will be kept in a notebook in chronological order and are due at the completion of each section unless otherwise stated by the teacher. All assignments will be done in pencil on lined notebook paper. If a student is having trouble keeping up with the assigned work, they will be required to attend Wildcat Hour until they are back on track. Late Work: Late work will not be accepted Make-Up Work: The school/district make-up work policy will be followed. Tests - 85% Tests & Quizzes - 75%: Tests and quizzes will be given about every 2 weeks and be worth 50 to 100 points each. 1 retest per semester will be allowed. There will be one or two days of review where the students will be given time to work on teacher made reviews before the test. Students will have the entire class period to work on the review and ask questions. Common Assessments - 10%: One common assessment will be given at the end of each semester. These common assessments will be our semester final. They will be cumulative, covering every unit up to that point in the semester. Honor Point One honor point will be given at the end of the year with the second semester grade. ACT The ACT will be administered on the following dates to all juniors at the expense of the district. Administration: Tuesday, April 28, 2015 Make-Up: Tuesday, May 12, 2015 Tutoring: Students are encouraged to come in at any time during tutoring hours, 7:00—7:20 am and 2:20—2:45 pm. I will be available earlier or stay later upon request. I am looking forward to working with your student in my class. Feel free to contact me anytime during the year either by e-mail or calling the school at 816-229-3459, ext 50092. Teacher Expectations: Show respect for your teacher, others around you, and yourself. Be on time and bring your supplies/materials daily. Work on the assignment in pencil during class once it is assigned up to two minutes before the bell. I dismiss the class not the bell. Students are responsible for getting make-up work and scheduling tests, according to district policy. No food, hats/head coverings, head phones, etc. All drink containers must have a lid. Cell phones must be turned off and not in use during class. All district policies and BSHS guidelines in the student handbook will be adhered to. Student Expectations: Each student should expect the teacher to be prepared to teach by the beginning of each class. Each student may expect the teacher to facilitate success in the class. This includes lectures that cover each given topic and an honest and timely response to each student’s questions. Each student can expect the teacher to be willing to give as much of her time as is reasonably necessary—in class or before/after school—to facilitate effective learning. Each student can expect the teacher to behave in a professional manner. Course Outline/Objectives Appendix: Review of Fundamental Concepts of Algebra o A1: Real Numbers and Their Properties o A2: Exponents and Radicals o A3: Polynomials and Factoring o A4: Rational Expressions o Test o A5: Solving Equations o A6: Solving Inequalities o Test Unit 1: Functions and Their Graphs o 1.1: Graphs of Equations o 1.2: Linear Equations in Two Variables o 1.3: Functions o 1.4: Analyzing Graphs of Functions o Test o 1.5: A Library of Functions o 1.6: Shifting, Reflecting, and Stretching Graphs o 1.7: Combinations of Functions o 1.8: Inverse Functions o 1.9: Mathematical Modeling o Test Unit 2: Polynomial and Rational Functions o 2.1: Quadratic Functions o 2.2: Polynomial Functions of Higher Degree o 2.3: Polynomial and Synthetic Division o 2.4: Complex Numbers o Test o 2.5: Zeros of Polynomial Functions o 2.6: Rational Functions o Test Unit 3: Exponential and Logarithmic Functions o 3.1: Exponential Functions and Their Graphs o 3.2: Logarithmic Functions and Their Graphs o 3.3: Properties of Logarithms o 3.4: Exponential and Logarithmic Equations o 3.5: Exponential and Logarithmic Models o Test Unit 4: Trigonometry o 4.1: Radian and Degree Measure o 4.2: Trigonometric Functions: The Unit Circle o 4.3: Right Triangle Trigonometry o 4.4: Trigonometric Functions of Any Angle o Test Semester 1 Final o 4.5: Graphs of Sine and Cosine Functions o 4.6: Graphs of Other Trigonometric Functions o 4.7: Inverse Trigonometric Functions o 4.8: Applications and Models o Test Unit 5: Analytic Trigonometry o 5.1: Using the Fundamental Identities o 5.2: Verifying Trigonometric Identities o 5.3: Solving Trigonometric Equations o Test o 5.4: Sum and Difference Formulas o 5.5: Multiple-Angle and Product-to-Sum Formulas o Test Unit 6: Additional Topics in Trigonometry o 6.1: Law of Sines o 6.2: Law of Cosines o Test o 6.3: Vectors in the Plane o 6.4: Vectors and Dot Products o 6.5: Trigonometric Form of a Complex Number o Test Unit 10: Topics in Analytic Geometry o 10.7: Polar Coordinates o 10.8: Graphs of Polar Equations o Test Unit 9: Sequences, Series, and Probability o 9.1: Sequences and Series o 9.2: Arithmetic Sequences and Partial Sums o 9.3: Geometric Sequences and Series o 9.5: The Binomial Theorem o Test Limits and an Introduction to Calculus o Intro to Limits o Techniques for Evaluating Limits o The Tangent Line o Limits at Infinity and Limits of Sequences o Area Under a Curve o Test Derivatives o The Derivative and Tangent Line o Basic Differentiation Rules and Rates of Change o Product and Quotient Rules and HigherOrder Derivatives o The Chain Rule o Implicit Differentiation o Test Semester 2 Final