EAST VALLEY HIGH SCHOOL 5525 VINELAND AVE NORTH HOLLYWOOD, CA 91601 CLASS GUIDELINES INSTRUCTOR: AZNIV SHAHMELIKIAN (Room N211) E-mail: axs0010@lausd.k12.ca.us Textbook: Algebra II by CORD & SpringBoard One of Primary goals of Mathematics is to help students gain mathematical power. It means ability to explore, conjecture and reason logically, as well as the ability to use a variety of mathematical methods effectively to solve non routine problems. In addition, for each individual, mathematical power involves the development of personal selfconfidence. Course Description: Algebra II expands on the mathematical content of Algebra I and Geometry. There is no single unifying theme. Instead, many new concepts and techniques are introduced that will be basic to more advanced courses in mathematics and the sciences and useful in the workplace. In general terms the emphasis is on abstract thinking skills, the function concept, and the algebraic solution of problems in various content areas. Students who master Algebra II will gain experience with algebraic solutions of problems in various content areas, including the solution of systems of quadratic equations, logarithmic and exponential functions, the binomial theorem, and the complex number system. Besides the book, students in “Tutoring Algebra 2” will be using “SpringBoard Alg.2” activity book which will be a pathway to advanced placement, college and career readiness. SpringBoard requires students to: Make sense of and connect mathematics concepts to everyday life. Model with mathematics to solve problems, justify solutions and their reasonableness, and communicate ideas. Use appropriate tools, such as number lines, protractors, technology, or paper and pencil, strategically to help solve problems. Communicate abstract and quantitative reasoning both orally and in writing through viable arguments and critiques. Analyze mathematical relationships through structure and repeated reasoning to connect ideas. Attend to precision in both written and oral communication. 1 As a result, Algebra 2 students will: Develop the algebra functions through operations composition and inverses. Read and analyze contextual situations involving exceptional and logarithmic functions. Work with functions graphically, numerically, analytically and verbally. Learn optimization problems. Compare the relative rate of change of linear and exponential functions. Learn the concept of infinite sum as a limit of partial sums. Work with statistics in numerical summaries, calculations using the normal curve and the modeling of data. In Mathematics courses, the logic that leads to an answer is usually more important than the answer itself. The right answer is no guarantee that students know what problem is all about. Topics will be covered according to their subject matter, not according to the chapter or section order. Topics in unit 1: Review from Algebra 1: 1.1, 1.2, 1.4, 1.5 Absolute value and Inequalities: 1.2, 2.1 – 2.3, 2.5 Polynomial operations: 9.1 – 9.4 Topics in unit 2: Rational expressions: 10.2, 10.3, 5.1 Quadratic functions: 6.1 – 6.5, 4.5 Complex numbers: 6.6, 5.5 Topics in unit 3: Exponential & Logarithms: 5.3, 8.1 – 8.6 Binomial theorem, Probability and Statistics: 14.1 – 14.4, 11.5 Topics in unit 4: Logic and Reasoning: 5.2 Arithmetic and Geometric Series: 11.1 – 11.4 Conic Sections, Functional Concepts and Mathematical Inductions: 7.1 – 7.6, 4.1 – 4.3 Key California Standards for Algebra II to be covered in every unit. Unit 1 Focus Standards Algebra II 1.0 Students solve equations and inequalities involving absolute value. Algebra II 2.0 Students solve systems of linear equations and inequalities (in two or three variables) by substitution, with graphs, or with matrices. Algebra II 3.0 Students are adept at operations on polynomials, including long division. Algebra II 4.0 Students factor polynomials representing the difference of squares, perfect square trinomials, and the sum and difference of two cubes. 2 Unit 2 Focus Standards Algebra II 5.0 Students demonstrate knowledge of how real and complex numbers are related both arithmetically and graphically. In particular, they can plot complex numbers as points in the plane. Algebra II 6.0 Students add, subtract, multiply, and divide complex numbers. Algebra II 7.0 Students add, subtract, multiply, divide, reduce, and evaluate rational expressions with monomial and polynomial denominators and simplify complicated rational expressions, including those with negative exponents in the denominator. Algebra II 8.0 Students solve and graph quadratic equations by factoring, completing the square, or using the quadratic formula. Students apply these techniques in solving word problems. They also solve quadratic equations in the complex number system. Algebra II 9.0 Students demonstrate and explain the effect that changing a coefficient has on the graph of quadratic functions; that is, students can determine how the graph of a parabola changes as a, b, and c vary in the equation y = ax 2 + bx + c . Algebra II 10.0 Students graph quadratic functions and determine the maxima, minima, and zeros of the function. Unit 3 Focus Standards Algebra II 11.0 Students prove simple laws of logarithms. 11.1 Students understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents. 11.2 Students judge the validity of an argument according to whether the properties of real numbers, exponents, and logarithms have been applied correctly at each step. Algebra II 12.0 Students know the laws of fractional exponents, understand exponential functions, and use these functions in problems involving exponential growth and decay. Algebra II 18.0 Students use fundamental counting principles to compute combinations and permutations. Algebra II 19.0 Students use combinations and permutations to compute probabilities. Algebra II 20.0 Students know the binomial theorem and use it to expand binomial expressions that are raised to positive integer powers. Algebra II 15.0 Students determine whether a specific algebraic statement involving rational expressions, radical expressions, or logarithmic or exponential functions is sometimes true, always true, or never true. Algebra II 23.0 Students derive the summation formulas for arithmetic series and for both finite and infinite geometric series. Springboard Activities that align with the Common Core: Unit # 1: Equations, Inequalities, Functions Activities: 1, 2, 3 Embedded Assessment: # 1 (Unit 1) Activities: 4, 5, 6 Embedded Assessment: # 2 (Unit 1), 3 Unit # 2: Quadratic Functions. Activities: 7, 8, 9 Embedded Assessment: # 1 (Unit 2) Activities: 10, 11 Embedded Assessment: # 2 (Unit 2) Activities: 12 & 13 Embedded Assessment # 3 (Unit 2) Unit # 3: Polynomials. Activities: 14, 15, 16 Embedded Assessment: # 1 (Unit 3) Activities: 17, 18 Embedded Assessment: # 2 (Unit 3) Unit # 4: Series, Exponential & Logarithmic Functions. Activities: 19, 20 Embedded Assessment: # 1 (Unit 4) Activities: 21, 22 Embedded Assessment: # 2 (Unit 4) Activities: 23, 24 Embedded Assessment: # 3 (Unit 4) Unit # 5: Radical & Rational Functions Activities: 25, 26 Embedded Assessment: # 1 (Unit 5) Activities: 27, 28 Embedded Assessment: # 2 (Unit 5) Activities: 29, 30 Embedded Assessment: # 3 (Unit 5) Unit # 6: Trigonometry Activities: 31, 32, 33 Embedded Assessment: # 1 (Unit 6) Activities: 34, 35 Embedded Assessment: # 2 (Unit 6) Unit # 7: Probability & Statistics Activities: 36, 37 Embedded Assessment: # 1 (Unit 7) Activities: 38, 39, 40 Embedded Assessment: # 2 (Unit 8) 4 Grading scale: 88 -100% A 78 - 87% B 66 -77% C 50 - 65% D 0 - 49% F Students involved in cheating on tests, will receive “0” for the test. Students should show work in their tests to get the whole credit. A “C” or better is required for a teacher’s recommendation to the next level. Need Math Help? Without any hesitation ask your questions, get help from the tutoring program of the school or go to: 1) www.brightstorm.com/math 2) www.patrickjmt.com (student friendly) 3) www.khanacademy.com Class materials: Students are to be prepared and develop this trait (Being Prepared) as a lifelong habit to practice effective communication. Please, bring the following items to class daily: books, note book, few pencils, colored pencil, pen, assignments, ruler, and scientific or graphic calculators (You need your own for your homework). Grading policy: Remember… Mathematics is not a spectator sport! Actively participating, reading carefully, and completing your assignments will contribute to your success in Algebra II, and in other mathematics courses you take in the future. Your progress will be evaluated on weighted grades. Tests will be given almost in every 2 weeks. (Check the monthly class schedule). The final exam will be cumulative Grade Breakdown for Tutoring Algebra 2 / Algebra 2. 5% POD (Problem of the day) or warm-up. 40% / 15% Activities, projects, class works, group works, participation. 40% / 60%Tests & Quizzes 10% / 15%Homework. 5% Final exam 5% Extra credit for extra credit assignments, participation and character education. (Characters refer to human values, values that allow us to live confidently and comfortably with other beings. Some of these values are: respect, resiliency, patience, integrity, dignity, humility, kindness, curiosity, modesty, accountability and perseverance). 5 Assignments: Daily assignments will be given to the students to introduce, reinforce and review class materials. Assignments will better prepare the students for quizzes, chapter tests, and final cumulative exam. Assignments are due next day at the beginning of the period unless otherwise stated. Absent students have to make up the work to get the credit otherwise, it will be F. If they need help on missing assignments, they have to see me for extra assistance. A notebook of assignments, class notes, and journal will be kept. It will be graded at the end of each semester as one test grade. Never forget that good organizational skills will be a life long asset. Attendance and make-up policy: Attendance is extremely important. Class is the place where explanation and learning takes place. Become responsible citizen and follow school’s attendance policy. The student is responsible for the missed tests. They have to arrange a makeup day with the teacher if it was excused absence otherwise, it will be an F. If you have to miss the class on the test or quiz day for games, you have to inform the teacher to set time to take it preferably on the same day before you leave for the game. Citizenship and Standards of Conduct. Student’s behavior guarantees academic achievement. It is very important to listen quietly, and follow directions the first time they are given. Students have to follow safety rules. Be on time, prepared with necessary materials, ready to learn and cooperate. If you have something to say, raise your hand and wait until you are given permission to speak. No food, or gum, or drink (Except water) in the classroom. Be respectful to your classmates and teacher. Keep your hands/feet to yourself. NO cursing NO making fun of each other. NO electronic devices (It will be confiscated). NO cell phones to be seen or heard (It will be confiscated), not even as calculators. NO sharpies. No electronic devices other than actual calculators to be used as calculators. Calculators will be provided if you don’t have one. 6 Standard consequences for poor conduct: 1st time, verbal warning. 2nd time discussion with teacher that day, possible contact to parents, (Definite parent contact if student does not discuss event with teacher that day). 3rd time, student sent to the office with discipline referral (Citizenship grade affected) “U” will be given as a citizenship grade, if you have two referrals. Students are not allowed to leave the classroom, except for a real emergency. Class Procedures: 1. Be in your seat when the bell rings. 2. Do the warm-up/POD. 3. Pay careful attention to the explanation to expend your knowledge and elevate yourself, your group members and your surrounding. 4. Participate, complete activities and class works. I am looking forward to working with you to make this year a wonderful learning experience. In order to make this positive learning environment, we must work together to create a good learning atmosphere. 7 I have read and fully understand all parts of the class guidelines for Mrs. Azniv Shahmelikian’s class. I agree to abide by the requirements that are expected of me. Print Student name:__________________________________ Period:_________ Student’s signature: __________________________________ Date: __________ Parent’s name: ______________________________________ Parent’s signature: ____________________________________ Address: ____________________________________________ ____________________________________________ Zip Code: _____________ Work Phone : __________________ Home Phone: ___________________ Parent’s e-mail address: _______________________________ Concerns Teacher should be aware of: __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ Return by August 25, 2014 8