Course Outline 2017-2018 School Year Mr. Sleggs Room 161 AP Calculus Algebra Problem Solving with Math - College Connection JCC Daily Required Materials: Textbook, Notebook, Folder to keep your papers in, Pen/Pencil/Highlighter, Graphing calculator will be used in each course. Our school has calculators for classroom student use. You should have at least a scientific calculator for use at home. Expectations and Requirements: 1) Everyone takes notes. I want everyone to have a notebook and a folder for your work. We will use them throughout the course. 2) Everyone is on time to class. 3) No cell phones, headphones or electronic devices in class. If you have them they must be off and not visible. 4) Have assignments completed each day. They will be collected each day and will be a part of your grade. 5) Be kind and courteous to each other and help each other. Pay attention in class. 6) Study and prepare for quizzes, unit tests and final exam by working problems. 7) When you are absent, you should check my school web page (www.swcsk12.org) or call the school 664-6273 Ext. 1161 to get the assignment. You should plan on staying after school with me on your return to school. 8) Attention in class is crucial. 9) Come in before, during or after school for help. 10) State Exam for Algebra: June/January 2017 11) AP Calculus Exam in May 2017 and Local Final Exam for Calculus/AP Calculus in June 2017. Course Curriculum for 2017-2018 School Year: COURSE NAME: AP Calculus CREDIT HOURS: 1.0 TEXT: Calculus of a Single Variable AUTHOR: Larson, Hostetler, Edwards EDITION: Ninth Edition PUBLISHER: Houghton Mufflin SUPPLEMENTAL MATERIALS: · Multiple Choice & Free Response Questions in Preparation for the AP Calculus (AB) Examination – 9th Edition PREREQUISITE: · Pre-Calculus COURSE DESCRIPTION: This course is an AP level mathematics course for seniors. Topics to be studied include: elementary functions, limits, derivatives and their applications; anti-derivatives and their applications; techniques of integration; and the integral and its applications. The use of a graphing calculator is required. In May, the AP student is expected to take the Calculus (AB) Advanced Placement Test. TI-83+ and TI-89 graphing calculators will be used to solve problems. COURSE OBJECTIVES: Synthesize differentiation and integration techniques to achieve correct results in relevant applications. Discuss calculus concepts that apply to related problems. Identify the proper uses of calculus methods and techniques. Evaluate a wide variety of topics with the use of calculus. Demonstrate a knowledge and understanding of differentiation and integration and their applications. Analyze and apply proper calculus techniques to problem solving. All students enrolled in the course are required to take the Advanced Placement Exam. Participating colleges may honor examination grades and grant credit. There is a fee to take the exam, however, students may have part or the entire test fee waived if they provide community service in the form of tutoring. TOPICS TO BE STUDIED: Limits Differentiation: derivative and tangent line, basic differentiation rules, product and quotient rules, higher order derivatives, chain rule, implicit differentiation, related rates Applications of the Derivative: relative extrema, Rolle’s and Mean Value Theorems, increasing and decreasing functions, first derivative test, concavity and second derivative test, limits at infinity, maximum and minimum word problems Integration: anti-derivatives and indefinite integration, area, Riemann Sums and definite integrals, the fundamental theorem of calculus, integration by substitution, numerical integration Logarithmic, exponential and other transcendental functions: natural logs and differentiation, natural logs and integration, inverse functions, exponential functions (differentiation and integration) differential equations (growth and decay) Applications of Integration: area between two curves, volume using the disk, washer and shell methods and cross sections Integration Techniques: Basic integration rules, integration by parts, partial fractions, indeterminate forms and L’Hopital’s Rule METHODS OF INSTRUCTION: Lecture and Student Investigation of topics to be studied Individual and small group work Class discussion Written assignments WORK REQUIRED BY THE STUDENT: Homework, quiz and test completion EVALUATION OF STUDENT PROGRESS Students will be evaluated on their ability to define, describe, illustrate, explain, integrate, and measure key elements of the course material. Students will also be evaluated on their ability to generalize new and prior knowledge into new learning situations. The student’s final grade is determined by taking each of the 4 quarter averages times 2 along with the grade on the local final exam, totaling them up and dividing the sum of these 9 scores by 9. Graded homework assignments provide students with feedback on their progress as a topic is being studied. In-class exams and quizzes provide a focused evaluation of understanding and proficiency in each topic studied. Assignments provide higher-level understanding of the topics being studied. Grading with each quarter will be as follows: Assignments – 20 graded at 5 points each = 100 points (25% of grade) Quizzes – 10 graded at 15 points each = 150 points (37.5% of grade) Unit Tests – 2 graded at 75 points each = 150 points (37.5% of grade) GRADE CALCULATION: Your grade within each quarter is calculated by dividing the total points you earned by the total possible points of the course in that quarter. COURSE NAME: Algebra CREDIT HOURS: 1.0 SUPPLEMENTAL MATERIALS: New York State Common Core Algebra· RegentsPrep.org PREREQUISITE: · 8th grade math COURSE DESCRIPTION: This is a high school mathematics course that prepares the student for the Integrated Algebra Regents Exam. It includes topics such as operations with polynomials, functions, graphs, linear/quadratic equations and inequalities, systems of equations, rational/irrational numbers, probability and statistics. Emphasis will be given to real life applications of algebra. TI-83+ graphing calculators will be used. Students will take a NYS Regents Exam in Algebra at the end of the course. COURSE OBJECTIVES: Synthesize algebraic and mathematical problem solving techniques to achieve correct results in relevant applications. Discuss algebra concepts that apply to related problems. Identify the proper uses of algebra methods and techniques. Evaluate a wide variety of topics with the use of algebra. Demonstrate a knowledge and understanding of algebraic ideas and concepts and their applications. Analyze and apply proper algebraic techniques to problem solving. TOPICS TO BE STUDIED: Measurement: Rates/Converting units/Area and Perimeter of basic shapes/Volume and Surface Area Measurement Error Algebra Basics: Real Number System/Properties of Real Numbers/Radicals – operate and simplify/Distributive Property/Order of Operations/Percents/Sets – Notation, Venn Diagrams Expressions and Equations: Variables-basic operations/Writing variable expressions/Simplify Expressions/Solving Equations Rewriting formulas Inequalities: Solving & Graphing Inequalities/Compound Inequalities/Absolute value with equations/inequalities Linear Equations: Writing equation of a line/Graphing linear equations/Word Problems and lines Parallel and Perpendicular lines/Direct and Indirect Variation/Linear Functions/Absolute value graphs Systems of Equations and Inequaliites: Graphically/Algebraically: Substitution and Addition Methods Word Problems and Systems Systems of Inequalities Exponents: Rules of Exponents/Scientific Notation/Exponential Growth and Decay Polynomials: Operations with monomials/Operations with polynomials/Factoring Polynomials and fractions/Rational Expressions Solve algebraic proportions Quadratics: Roots and Factors/Parabolas Solving Quadratics: Solving Systems of quadratics and lines Compare Functions Probability and Stats: Basic Probability/Intro to Stats/Stem and leaf plots/Frequency Histograms Box and Whisker Plots/Scatter Plots and Best Fit Lines Intro to Geometry: Pythagorean Theorem/Distance Formula/Midpoints/Right TriangleTrigonometry METHODS OF INSTRUCTION: Lecture and Student Investigation of topics to be studied Individual and small group work Class discussion Written assignments and weekly quiz checks WORK REQUIRED BY THE STUDENT: Homework, quiz and test completion EVALUATION OF STUDENT PROGRESS: Students will be evaluated on their ability to define, describe, illustrate, explain, integrate, and measure key elements of the course material. Students will also be evaluated on their ability to generalize new and prior knowledge into new learning situations. The student’s final grade is determined by taking each of the 2 quarter averages times 2 along with the grade on the local final exam, totaling them and dividing the sum of these 5 scores by 5. Graded/checked homework assignments provide students with feedback on their progress as a topic is being studied. In-class exams and quizzes provide a focused evaluation of understanding and proficiency in each topic studied. Assignments provide higher-level understanding of the topics being studied. Grading with each quarter will be as follows: For each quarter: (750 total points) Assignments – 30 grade/checked at 5 points each = 150 points (20% of grade) Quizzes – 20 graded at 10 points each = 200 points (27% of grade) Unit Tests – 4 graded at 100 points each = 400 points (53% of grade) GRADE CALCULATION: Your grade within each quarter is calculated by dividing the total points you earned by the total possible points of the course in that quarter. To access extra help for Algebra, Geometry, and Algebra II/Trig: Please note: This page contains links to outside sources. The Southwestern Central School District is not responsible for any content housed/published on those sites. Contact Mr. Sleggs at 716-664-6273 Ext. 1161 or via email |