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Pre-AP Calculus Syllabus Blue Springs School District 2016-2017 1 Credit Teacher: Mr. Davis Plan: 1st Room Number: 406 Phone Number: (816) 874-3500 ext50649 Email: [email protected] 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. Precalculus with Limits. Boston: Brooks Cole, 2014. Required Course Materials Pencil/Paper Notebook dedicated to notes/homework Graphing Calculator (TI-83, TI-84, TI-84+CE 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% - Course Work (homework, daily assignments, online practice, in-class work, etc) 75% - Assessments (formative tests and summative tests) 10% - Semester Final (18 and 36-week common assessments) (If you score higher on your semester final then one of your other tests, your lowest test score of the semester will be replaced with your final exam percentage.) Late Work Late work will not be accepted Make-Up Work The school/district make-up work policy will be followed. Homework Homework is the responsibility of the student. Assignments with solutions (on CalcChat) will be given for practice at home daily. It is the student’s responsibility to check answers and ask for help when necessary. If a student receives an 85% or higher on the unit exam, they will not need to turn in homework. If a student receives below an 85% on the unit exam, they will be required to turn in ALL homework from the unit covered on the exam the day after they take the test. If a student is struggling with the course material, they may be required to turn in homework daily to keep track of their progress. Common Assessments One common assessment will be given at the end of each semester. Each common assessment will be the semester final for this course. ACT The ACT will be administered on the following dates to all juniors at the expense of the district. Administration: April 19, 2017 Make-Up: May 3, 2017 Respect Teacher, fellow students, yourself, and the classroom. Be Here and Be on Time The school/district attendance and tardy policies will be followed. Honor Point One honor point will be given at the end of the year with the second semester grade. For more in-depth information regarding this course go to: bssd.buildyourowncurriculum.com, and look up Pre-AP Calculus Course Outline/Objectives Semester 1 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 A5: Solving Equations o A6: Solving Inequalities Test Unit 1: Functions and Their Graphs o 1.1: Rectangular Coordinates o 1.2: Graphs of Equations o 1.3: Linear Equations in Two Variables o 1.4: Functions o 1.5: Analyzing Graphs of Functions o 1.6: A Library of Parent Functions o 1.7: Transformations of Functions o 1.8: Combinations of Functions o 1.9: Inverse Functions o 1.10: Mathematical Modeling/Variation Test Unit 2: Polynomial and Rational Functions o 2.1: Quadratic Functions and Models o 2.2: Polynomial Functions of Higher Degree o 2.3: Polynomial and Synthetic Division o 2.4: Complex Numbers o 2.5: Zeros of Polynomial Functions o 2.6: Rational Functions o 2.7: Nonlinear Inequalities 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 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 Test 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 Test Semester 1 Final Semester 2 Unit 5: Analytic Trigonometry o 5.1: Using the Fundamental Identities o 5.2: Verifying Trigonometric Identities o 5.3: Solving Trigonometric Equations o 5.4: Sum and Difference Formulas o 5.5: Multiple-Angle and Product-toSum Formulas Test Unit 6: Additional Topics in Trigonometry o 6.1: Law of Sines o 6.2: Law of Cosines o 6.3: Vectors in the Plane o 6.4: Vectors and Dot Products o 6.5: Trigonometric Form of a Complex Number Test Unit 10: Topics in Analytic Geometry o 10.6: Parametric Equations o 10.7: Polar Coordinates o 10.8: Graphs of Polar Equations 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 Test Limits and an Introduction to Calculus (Unit 1 of AP-Calculus) o A Preview of Calculus o Finding Limits Graphically and Numerically o Evaluating Limits Analytically o Continuity and One-Sided Limits o Infinite Limits Test Derivatives (Unit 2 of AP-Calculus) o The Derivative and Tangent Line o Basic Differentiation Rules and Rates of Change o Product and Quotient Rules and Higher-Order Derivatives o The Chain Rule o Implicit Differentiation (if time) Test Semester 2 Final For more in-depth information regarding this course go to: bssd.buildyourowncurriculum.com, and look up Pre-AP Calculus Online Resources CalcChat www.calcchat.com Odd answers for homework assignments are posted on this site. Choose our textbook and you can look up all answers by section. Larson Pre-Calculus Companion Site http://www.larsonprecalculus.com/pcwl3e/ The LarsonPrecalculus.com companion site provides a robust selection of resources and tools to assist you in your study of precalculus using Precalculus with Limits 3e by Ron Larson. Resources on the site: study guides, worked out book examples, interactive activities, printable graphs, and practice pre-tests and tests. Twitter @davisbsshs I will post daily class updates and announcements here. This is also where you can ask me questions about assignments. Just use the hashtag #PreAPCalc and mention @davisbsshs in the tweet. OneNote (Office365) All notes and in class work will be posted to a class notebook in Office365. Everyone in class will have access to this notebook through their Office365 accounts. All class notes will be in the _Content Library section of the OneNote notebook. The _Collaboration Space section of the class notebook may be used during the year for group collaboration. The section of the notebook that has your name as the title is yours to use as you see fit (you can copy notes from the collaboration space to this notebook, fill out your own notes, etc). OneNote can be downloaded to your computer, to your tablet, or to your phone. Khan Academy https://www.khanacademy.org/ Online videos for many of the topics we will cover in this class. This is a great resource to use if you are absent or if you need extra help with a topic. For more in-depth information regarding this course go to: bssd.buildyourowncurriculum.com, and look up Pre-AP Calculus