2014 - 2015 IB Math SL 1 Teacher: Mr. Swift Email: swift_c@westcler.org Room 243 Voicemail: 513-947-7563 Textbook: Mathematics for the international student: Mathematics SL Maenpaa, Owen, Haese, Haese, Haese, & Humphries 2010 COURSE CONTENT: The course will include the study of quadratic, exponential, logarithmic, and trigonometric functions. Additional content includes sequences and series, descriptive statistics, and statistical distributions. An outline appears later in this document. ASSIGNMENTS: Assignments may include worksheets, and/or book work. Assignments will be collected daily and checked for completeness. At least once a week assignments will be graded for accuracy. QUIZZES: The number of quizzes per chapter will vary. The first type of quiz will usually be given every four to six class periods and be between ten and fifteen minutes in length. The more you explain your response using correct mathematical notation and vocabulary, the better chance you have of earning full credit. The second type will be homework quizzes. For this type of quiz you copy your work for selected homework questions onto the quiz paper. TESTS: Tests will be given at the completion of each unit or midway through longer units. Each test will consist of short answer, extended answer, and multiple-choice questions for each chapter and could include review questions from previous chapters. Each chapter (or partial chapter) test will be weighted the same. All electronic devices besides your calculator are NOT ALLOWED during exams. There are NO retakes of exams. CLASSROOM EXPECTATIONS: #1: You are expected to be ON TIME. Be here early, so you are ready to start at the right time. #2: You are expected to treat EVERYONE in the class with the same attitude of respect you expect to be treated. This includes the language you use, the attitude you bring to class, and the way you respond when asked to do something in class. #3: You are expected to come to class prepared. Necessary materials should be brought to class each day. GRADING: Letter grades will be assigned using the district scale adopted by the West Clermont Board of Education. Homework will be weighted 30%, quizzes 20%, and tests 50% of the grade each term. ABSENCES: It is YOUR responsibility to find out what you missed!!!!!!!!! Progressbook and your classmates are possible sources of that information prior to class. SUPPLIES: The following is a list of supplies (other than your book) that will be needed throughout the course of the year. For some in-class activities, there are a limited number of supplies in the classroom. However, you will need to use most of these supplies at home. It is in your best interest to obtain as many of them as possible. - A 3-ring notebook dedicated to this class (a 1” binder should be enough to hold everything) -A graphing calculator is needed. In class demonstrations will use TI-83+ and TI-84+ calculators. - Graph paper can be obtained through a link on my website. - Pencils RESOURCES AVAILABLE: Mr. Swift’s website: http://www.westcler.k12.oh.us/olc/teacher.aspx?s=99 Class Lecture Notes, and Worksheets Limited links to other Math sites on the Internet Study Tables SYLLABUS Unit 1: Functions – 10 days Relations and functions Function notation Domain and range Composite functions Inverse Functions Unit 2: Sequences and Series – 13 days Number patterns Arithmetic sequences Geometric sequences Series Unit 3: Exponentials – 15 days Index notation Evaluating powers Index laws Rational indices Algebraic expansions and factorizations Exponential equations Graphs of exponential functions Growth and decay The natural exponential Unit 4: Logarithms – 14 Logarithms Laws of logarithms Natural logarithms Exponential equations using logarithms Change of base rule Growth of logarithmic functions Growth and decay Unit 5: Graphing and Transforming Functions – 8 days Families of functions Transforming graphs Unit 6: Quadratic Equations and Functions – 15 days Quadratic equations Discriminant Graphing quadratic functions Identifying quadratics Function intersections Quadratic optimizationsEnd of 1st Semester Unit 7: The Binomial Expansion – 4 – days Binomial expansions Binomial Theorem Unit 8: The Unit Circle and Radian Measure – 9 days Radian measure Arc length and sector area Basic trigonometric ratios Equation of a straight line Unit 9: Non-right Angled Triangle Trigonometry – 8 days Area of triangles Cosine Rule Sine Rule Using sine and cosine rules Unit 10: Advanced Trigonometry – 24 days Periodic behavior The sine function Modeling using sine functions The cosine function The tangent function General trigonometric functions Trigonometric equations Double angle formula Trigonometric equations in quadratic form Unit 14: Descriptive Statistics – 18 days Key statistical concepts Measuring the center of data Measuring the spread of data Cumulative frequency graphs Using technology Variance and standard deviation Significance of standard deviation Unit 23: Statistical Distributions of Continuous Random Variables – 8 days Discrete random variables Discrete probability distributions Expectation Binomial distribution Unit 24: Statistical Distributions of Continuous Variables – 12 days Density functions Normal distributions Standard normal distribution Quantiles or k-values Applications of the normal distributions