BOSTON LATIN SCHOOL Department of MATHEMATICS 2015-2016 COURSE Advanced Algebra II (470) CLASSROOM TEACHER THERESA COJOHN School phone: 617-635-8895 x329 Website: cojohn.weebly.com E-mail: tcojohn@bostonpublicschools.org 303 COURSE DESCRIPTION This course seeks to give superior students a knowledge and appreciation of the topics covered in Advanced Algebra through an increase in rigor. Concepts are developed from a theoretical approach rather than an approach that only facilitates implementation. Students are expected to partake in local, regional and national competitions as part of the curriculum. Students are selected for this course after considering grades in previous mathematics courses, recommendation by previous mathematics teachers, performance on common midyear and final exams, and performance on local, regional, state, and national competitions. Preference is given to students with strong grades in honors mathematics courses. ESSENTIAL QUESTIONS How do we understand the meaning of equivalent forms of expressions, equations, inequalities, and relations? How do we write equivalent forms of equations, inequalities, and systems of equations and solve them with fluency—mentally or with paper and pencil in simple cases and using technology in all cases? How do we use symbolic algebra to represent and explain mathematical relationships? How do we use a variety of symbolic representations for functions and relations? How do we judge the meaning, utility, and reasonableness of the results of symbol manipulations, including those carried out by technology? How do we understand relations and functions and select, convert flexibly among, and use various representations for them? How do we analyze functions of one variable by investigating rates of change, intercepts, zeros, asymptotes, and local and global behavior? How do we understand and perform transformations such as arithmetically combining, composing, and inverting commonly used functions, using technology to perform such operations on more-complicated symbolic expressions? How do we understand and compare the properties of classes of functions, including exponential, polynomial, rational, and logarithmic functions? How do we identify essential quantitative relationships in a situation and determine the class or classes of functions that might model the relationships? How do we use symbolic expressions to represent relationships arising from various contexts? How do we draw reasonable conclusions about a situation being modeled? POWER STANDARDS Students should be able to… Understand the meaning of equivalent forms of expressions, equations, inequalities, and relations Write equivalent forms of equations, inequalities, and systems of equations and solve them with fluency—mentally or with paper and pencil in simple cases and using technology in all cases Use symbolic algebra to represent and explain mathematical relationships Use a variety of symbolic representations for functions and relations Judge the meaning, utility, and reasonableness of the results of symbol manipulations, including those carried out by technology Understand relations and functions and select, convert flexibly among, and use various representations for them Analyze functions of one variable by investigating rates of change, intercepts, zeros, asymptotes, and local and global behavior Understand and perform transformations such as arithmetically combining, composing, and inverting commonly used functions, using technology to perform such operations on more-complicated symbolic expressions Understand and compare the properties of classes of functions, including exponential, polynomial, rational, and logarithmic functions Identify essential quantitative relationships in a situation and determine the class or classes of functions that might model the relationships Use symbolic expressions to represent relationships arising from various contexts Draw reasonable conclusions about a situation being modeled 21ST CENTURY LEARNING EXPECTATIONS Students will know and be able to demonstrate mastery of content and skills by Grappling with essential questions that span disciplines Engaging in inquiry based, self-driven, authentic learning Utilizing higher order thinking skills that include the evaluation and synthesis of information and ideas Collaborating and communicating with others while also self-reflecting on personal growth Applying appropriate technology and media literacy skills Making connections to life and the larger world community READING SYLLABUS Algebra & Trigonometry 7th Edition by Sullivan; Publisher: Pearson/Prentice Hall ISBN: 0-13-143073-4 SUPPLIES AND EQUIPMENT TI-83 or TI-84 graphing calculator (Casio, TI-89 and TI-Inspire are not allowed) 3-hole graph paper (size 8.5 X 11) to do homework on 3-ring binder (1 inch with plastic insert for cover sheet) and dividers Memory Stick GRADING Your grades each term will be calculated using a points-based grading system. The student receives points for completed assignments, projects, quizzes and tests and the term grade is determined by the number of points earned out of the number of possible points. Final Grade: 1st term 25%, 2nd term 25%, 3rd term 25%, 4th term 25% COMMON ASSESSMENTS In addition to frequent formative assessments, the following will be administered to all students enrolled in this course: Mid year exam and final exam HOMEWORK Homework assignments are given to help students learn the material in the class and to develop good reasoning and problems solving skills. The expectation is that students will do each night’s assigned homework. The Math Department Homework Policy: If a student completes all homework assignments then 2 percentage points will be added to his or her term average. If a student completes all but two or fewer homework assignments then the term average is unaffected. If a student misses more than two homework assignments in a term then he or she will lose 1 percentage point from the term average for each assignment missed. CONDUCT Students’ active participation in classroom work and discussions is an integral part of the learning atmosphere in class. Students are responsible for all the work covered in class when they are absent from school. Any work or assessments missed due to EXCUSED absences must be made-up within 3 days of return with a note. Make-ups are the student’s responsibility. Students are expected to be respectful in their attitude toward one another, the teacher and will behave in accordance with the BLS Student Handbook. You will receive 1 mm for each of the following minor offenses: tardy to class, failure to bring textbook to class, failure to have textbook covered properly, speaking out of turn, etc. OFFICE HOURS 7:00-7:30 A.M. by appointment only 2:20-3:00 P.M. by appointment only Parents please e-mail to make an appointment Students please see me during class to make an appointment Students and Parents: Please read the above information for Advanced Algebra II together, and indicate by your signatures that you understand the purpose, format, and expectations of this course. Please feel free to see, call, or e-mail me with any questions or problems you might have. Student: I have read and I understand the course description and classroom expectations for Advanced Algebra II. Student’s Name Printed: ___________________________________________________________ Student’s Signature: _________ Date Parent/Guardian: I have reviewed the course description and classroom expectations for Advanced Algebra II with my son or daughter. Parent/Guardian’s Name Printed: _____________________________________________________ Parent/Guardian’s Signature: Parent/Guardian’s Phone: Date ___