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ALGEBRA II SYLLABUS Mrs. C. Cook Course Objectives Students will be able to recognize, graph, manipulate, and solve a variety of functions including linear, quadratic, polynomial, and rational functions. Students will be able to graph and solve systems of linear equations using a variety of methods including matrices. Students will be exposed to the concepts of conic sections and trigonometric functions. They will be able to recognize and manipulate equations and functions of these types. Students will be introduced to basic probability as well as sequence and series. Students will be able to apply basic and advanced problem solving techniques to solve word problems. Course Themes Relations and Functions Linear and Absolute Value Equations Quadratic Functions Polynomial Functions Rational Functions Conic Sections Trigonometric Functions Sequences and Series Counting Principle and Probability Logarithmic and Exponential Functions Mathematical Reasoning and Problem Solving Course Materials Textbook: Larson, Ron, et al. Algebra 2. Illinois: McDougal Littell. 2001. Calculator: Each student is required to purchase a scientific calculator (similar to a TI-30). Students may wish to purchase a graphing calculator (TI – 83 or higher). These are not required for this course but may prove to be helpful. Helpful Websites: Textbook Site - http://www.classzone.com/books/algebra_2/index.cfm Quia Site - http://www.quia.com/pages/cookalgebra2.html Course Organization Grades will be determined by the following: Chapter Tests - 35 % Homework Completion - 25 % Weekly Quizzes - 20 % Course Notebook - 10% Participation and Preparation - 10% Chapter Tests Tests will be administered at the end of each chapter with the exception of two times when multiple chapters will be combined for the test. Tests can be anticipated roughly every two to three weeks. Homework Policy Homework assignments will be assigned daily with the exception of Friday. Late assignments will be accepted one day after the due date for 75% credit and two days after the due date for 50% credit. After that, the student will receive no credit for the assignment. If a student is absent, it is his/her responsibility to obtain the missed assignments and notes. I will not track a student down to make sure that he/she knows what the missing assignment was. Homework will be graded based on timely completion with reasonable answers. This means, if you do the work and it makes some sense, you will get full credit for that assignment. Students are required to complete homework in the format presented at the beginning of the course. Homework completed in any other format WILL NOT be accepted. Weekly Quizzes Quizzes will be administered at the beginning of class every Friday in which a test is not given. Quizzes will cover all the material that was covered in the homework that week. The purpose of the weekly quizzes is to ensure that students understand the material and that homework is being completely accurately and students are seeking out help when needed. Course Notebook Each student will be required to keep an up-to-date, organized course notebook consisting of all class notes, homework, quizzes, tests, and projects. The notebook will be checked on Friday during the weekly quiz. Participation Participation includes class preparation, completion of the daily questions, and participation in guided practice during lessons. This also includes student accountability to seek out assignments, notes, quizzes and tests missed due to illnesses. Expectations I expect all of my students to come to class on time and prepared with his/her own book, notebook, assignment notebook, pencil, and calculator. I will not tolerate lack of preparation including missing assignments. I expect each student to be accountable for his/her own academics including seeking out help when needed. I expect students to come to me with questions; I should not have to come to you! I expect students to respect each person in the classroom and his/her right to learn. I expect that each student will maintain a willingness to learn and will have fun while doing so. I expect a great year! Content Outline Attached you will find a week-by-week breakdown of the content to be taught this school year. This outline is tentative and may need to be adjusted slightly throughout the year. Any major adjustments to this outline (elimination of an entire chapter or subject) will be presented to the students and sent home for parents to review. We have a lot to cover this school year and we will be hitting the ground running. Algebra II Content Outline Week Subject 1 Algebra I Review 2 Algebra I Review 3 Algebra I Review 4 Chapter 1 Review Graphing 5 Graphing Equations for Lines 6 Equations for Lines Advance Graphing 7 Chapter 2 Review Systems of Equations 8 Systems of Equations and Inequalities 9 Chapter 3 Review Matrices SEMESTER 1 Quarter 1 Content Order of Operations Combining Like Terms Solving Equations Rewriting Equations Problem Solving Word Problems No School Monday Solving Linear Inequalities Solving Absolute Value Review Chapter 1 Test Chapter 1 Functions and their Graphs Slope and Rate of Change Graphing Lines Writing Equations for Lines Writing Equations for Lines Graphing Inequalities Graphing Absolute Value Review Chapter 2 Test Chapter 2 Solving Systems of Equations by Graphing No School Friday Solving Systems of Inequalities by Graphing Solving Systems of Equations Algebraically No Class Wednesday Grades Close Friday Solving Systems of Equations Algebraically Review Chapter 3 Test Chapter 3 Chapter 1. 2 – 1. 3 1. 4 – 1.5 1.6 – 1.7 2.1 2.2 – 2.4 2.4 – 2.6, 2.8 3.1 3.2 – 3.4 3.4 Quarter 2 10 Matrices 11 Matrices 12 Chapter 4 Review Quadratic Functions 13 Quadratic Functions 14 Quadratic Functions 15 Quadratic Functions Chapter 5 Review 16 Polynomials 17 Polynomials 18 Polynomials Chapter 6 Review 19 20 Review Matrix Operations Multiplying Matrices Determinants Early Release Friday Cramer’s Rule Identity and Inverse Matrices Review Chapter 4 Chapter 4 Test Graphing Quadratic Functions Factoring Solving Equations by Factoring Thanksgiving No School Wednesday - Friday Solving by Finding Square Roots Complex Numbers Quadratic Formula Review Chapter 5 Chapter 5 Test Properties of Exponents Evaluating Polynomials Graphing Polynomials using Technology Adding, Subtracting and Multiplying Polynomials Dividing Polynomials Winter Break Starts Friday Finding Rational Zeros Fundamental Theorem Review Chapter 6 Test Chapter 6 Review Week Midterm Exams 4.1 – 4.3 4.3 – 4.4 5.1 5.2 5.3 5.4, 5.6 6.1 - 6.2 6.3, 6.5 6.5, 6.7 Chapters 1 - 6 Week Subject 1 Rational Exponents 2 Power Functions 3 Radical Equations 4 Review Chapter 7 Rational Equations 5 Rational Equations 6 Rational Equations 7 Rational Equations 8 Probability and Statistics SEMESTER 2 Quarter 3 Content No School Monday Nth Roots Rationalizing the Denominator Properties of Rational Exponents Function Operations Composition of Functions Inverse Functions Graphing Square Roots Solving Radical Equations Early Release Friday Chapter 7 Review Chapter 7 Test Graphs of Rational Equations using Technology No School Monday Multiplying Rational Equations Dividing Rational Equations Adding and Subtracting Complex Fractions Solving Rational Equations Chapter 9 Review Chapter 9 Test Fundamental Counting Principle Statistics and Statistical Graphs Inverse and Joint Variations Chapter 7.1 – 7.2 7.3 – 7.4 7.5 – 7.6 9.2 – 9.3 9.4 9.5 – 9.6 12.1, 7.7, 9.1 Spring Break 9 Probability Grades Close Friday Permutations/Combinations Theoretical Probability Geometric Probability Compound Probability 12.3 – 12.4 Quarter 4 10 11 Probability Review Probability and Statistics General Trigonometry 12 General Trigonometry Review Chapter 13 13 Sequences and Series 14 Sequences and Series Review Chapter 11 15 Conic Sections 16 17 18 Review Independence and Dependence Probability and Statistics Review Probability and Statistics Test No School Friday Six Trig. Functions Angle Measures Inverse Trig. Functions Real World Modeling Chapter 13 Review Chapter 13 Test Sequence vs. Series Summation Notation Finite and Infinite Sequences Arithmetic Sequences Geometric Sequences Chapter 11 Review Chapter 11 Test Types of Conic Sections Circles Parabolas, Ellipses, Hyperbolas Chapter 10 Mini-Test Class Trips Final Exam Review Final Exam 12.5 13.1 – 13.4 13.7 11.1, 11.4 11.2 – 11.3 10.2 – 10.6 Chapters 1–7, 9-13 Homework Assignment Outline Every homework assignment will be completed in the following format. Assignments completed in any other format WILL NOT be accepted for credit. Absolutely NO assignments will be accepted if the holes are torn and not reinforced. Student Name Date Assignment Due Assignment (page number and problem numbers) Problem Question Number 1 Solution (MUST write out the word solution) Worked out solution Answer is circled with line to right margin with the work answer written A line is drawn before beginning the next problem Problem Question Number 2 Solution (MUST write out the word solution) Worked out solution Answer is circled with line to right margin with the work answer written A line is drawn before beginning the next problem