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Chicago Military Academy- Bronzeville Advance Algebra with Trigonometry Course Syllabus for 2009/2010 school year Course # 49720 “We are not what we know but what we are willing to learn” Mary Catherine Bateson Instructor: Ms. Jozefa Antkiewicz E-mail: jantkiewicz@cps.edu School Phone: (773) 534-9750 School/class web site: http://www.chicagomilitaryacademy.org/ Agile Mind web site: http://chicago-2.agilemind.com Credit for the course: 0.5 per semester Office hours for parent- teacher conference: Period 01 (8:00- 8:46) each Wednesday Period 06 (12:29-13:15) each Monday Teacher Schedule Period 01 8:00-8:46 Professional/Common Prep Period 02 8:50-9:36 Advance Algebra with Trigonometry Period 03 9:59-10:45 Advance Algebra with Trigonometry Period 04 10:49-11:35 Teacher Lunch Period 05 11:39-12:25 Geometry Period 06 12:29-13:15 Homeroom Conference Prep Period 07 13:19- 14:05 Advance Algebra with Trigonometry Period 08 14:09-14:55 Geometry Course Description: Algebra 2 further develops important mathematical ideas and techniques introduced in Algebra 1: the use of variables to describe arithmetic and functional relationships; basic strategies and algorithms for solving linear equations; linear functions and their representations by tables, graphs, words, and symbols (and relationships among these forms of representation); the basic properties of exponential and quadratic functions, and the use of algebra to solve application problems. In Algebra 2 you will: Expand your study of functions and their multiple representations to include rational functions, absolute values, square roots, and logarithms. Explore the relationship between a function and its inverse by examining power and root functions and exponential and logarithmic functions. Increase your skill at purposefully manipulating algebraic expressions to solve increasingly complex problems Learn to organize and analyze data to model and analyze simple physical and other phenomena. Algebra 2 provides opportunities for you to make connections between algebra and geometry through a detailed study of conic sections: Explore the geometric and algebraic descriptions of conic sections Learn to identify symmetries from graphs and their defining equations Apply your understanding of transformations to comprehend the effects of parameter changes on the graphs of quadratic relations. In this course you will use again an exciting, interactive, full of animations online service, called Agile Mind, to help you explore Algebra 2 concepts. You and your teacher will access Agile Mind online daily and as it was before you will have your own account so you can use Agile Mind anywhere you can access the Internet. The Agile Mind program will be used everyday with some variations: projecting animations, interactive displays with the whole class explorations or the completion of individual laptop assignments. In addition to this Internet based program we will use heavily The Geometer’s Sketchpad program and graphing calculators (Texas Instrument, TI-84) to deepen your Algebra 2 and Precalculus skills. Texts You will be using the following texts or programs in this course. 1.Title: Agile Mind Course Support Service – Algebra 2 http://chicago-2.agilemind.com Publisher: Charles A. Dana Center, University of Texas at Austin; Agile Mind 2. Title: Agile Mind Course Support Service – Precalculus http://chicago.agilemind.com Publisher: Charles A. Dana Center, University of Texas at Austin; Agile Mind 3.Title: Discovering an Advance Algebra An Investigative Approach Date: 2004, ISBN Publisher: Key Curriculum Press (Replacement Cost $ 80.00) 4.Title: The Geometer’s Sketchpad (Dynamic Geometry Software) Agile Mind Topics http://chicago-2.agilemind.com COURSE SCOPE AND SEQUENCE You will explore the following topics in Algebra 2 and Precalculus in the order they appear below. The approximate time spent on each topic is also provided. Other resources, in addition to Agile Mind Advance Algebra and Precalculus will be used throughout this course including your textbook Discovering Advance Algebra An Investigative Approach. Agile Mind Advance Algebra Trigonometry Topics Time Spent A1: Beyond linear functions 2 weeks A2: Understanding inverse relations 1.5 weeks A3: Transformations on parent functions 1.5 weeks A4: Introduction to systems 1 week A5: Exponential Functions 2 weeks A6: Logarithmic Functions 1.5 weeks A7: Solving equations and inequalities 1 week A8: Quadratic functions 1.5 weeks A9: Quadratic equations 2 weeks A10: Square root equations P1: Polynomial functions 1.5 weeks P2: Power functions 1.5 weeks P9: Composition 1 week A12: Rational functions 1 week A13: Rational equations and inequalities A14: System of equations with more then 2 unknowns 2 weeks A16: System of inequalities P5: General Periodic functions 2 weeks P6: Introducing the trigonometric functions 2 weeks P11: Inverse trigonometric functions 2 weeks P12: Triangle Trigonometry A19: Probability and the binomial theorem 2 weeks Passing Standards: “I Can” Students will be able to: 1) Find the rate of change 2) Identify the Y intercept 3) Understand the characteristics of a linear function 4) Connect between the multiple representations of a linear, quadratic and exponential functions 5) Identify and distinguish domain and range 6) Transform the parent function, Y=X to fit the given linear data 7) Connect between the multiple representation of an absolute value function 8) Identify the key characteristics of an absolute value function 9) Identify an inverse and direct variation Students will be able to : 10) Find the inverse of a function graphically, algebraically and from a table 11 )Identify 1-1 functions graphically 12) Restrict the domain to make the function vertical 13) Find the range and domain of a function and its inverse 14) Manipulate data from tables and graphs 15) Identify characteristics of graphs based on a set of conditions or on a general equation, 2 Y=ax +c 16) Interpret or use information from graphs in the coordinate plane 17) Manipulate expressions and equations 18) Perform word to symbol translations 19) Solve a system of equations by graphing, substitution and elimination 20) Write a) Expressions b) Equations c) Inequalities that require planning, manipulating and solving 21) Numerically and graphically investigate e and use it to find the compound interest Students will be able to: 22) Convert between logarithmic and exponential forms of expressions 23) Identify the domain and range of logarithmic functions 24) Use properties of logs 25) Rewrite and solve problems algebraically 26) Interpret, use, analyze and draw information from figured tables and graphs 27) Identify the vertex, factored and general forms of parabolas 28) Move between different forms of the quadratic equations 29) Work with square and square roots of numbers 30) Apply properties of complex numbers 31) Solve quadratic equations 32) use the quadratic formula 33) Work with cube and cube roots of numbers 34) Connection between the degree of polynomial, number of zeros & number of extreme values 35) identify even and odd function Students will be able to: 36) Apply the rules of exponents 37) Work with problems involving positive integer exponents 38) Describe symmetry of graph and identify even and odd functions 39) Can determine the range and domain of power functions using graphs, tables & symbols 40) Can define the composition of functions 41) Can check if the composition is commutative 42) Can apply the concept of composition to problem solving 43) Can use inverse operations when solving equations 44) Can identify dependent, independent and consistent system of equations 45) Can solve independent, dependent and consistent of equations Students will be able to: 46) Define trigonometric functions 47) Distinguish between circular and trigonometric functions 48) Restrict the domain of trigonometric functions 49) Can solve trigonometric equations 50) Can use the law of sins and cosines 51) Use fundamental principles of counting 52) use permutations and combinations 53) Use binomial theorem * Above mentioned are subjects to change COURSE ALIGNMENT/LEARNING TARGETS This Advance Algebra and Precalculus course has been aligned to several learning and assessment standards. To see these alignments, ask your teacher. Alignments are provided for your textbook, the Illinois Learning Standards (ILS), the Prairie State Achievement Exam (PSAE), and the ACT College Readiness Standards (CRS). Required Student Materials: Pencils (sharpened before the Binder or 5 subjects notebook class!) Standardized Test preparation Pencil sharpener notebook College ruled notebook paper Graph paper and blank paper Pen and color marker Ruler Erasers Folder Graphing calculator greatly appreciated All materials must be available for each class period and you will be graded on your class preparation and participation. Grading Policy and Grading Scale ASSESSMENT STRATEGY Your teacher will assess your learning in several ways in this Advance Algebra and Precalculus course. You will be asked to participate in classroom and group discussions, answer questions asked by your teacher, and use the Guided Assessment, Self-Test, Multiple Choice, and Constructed Responses in Agile Mind. Some of these assessments will fall at the end of a topic, and some your teacher will use throughout the topic to make sure that all students are making progress in their learning. We are going to use Algebra/Geometry software program “Geometer’s Sketchpad” which will allow you to create and conduct algebra and precalculus experiments and change the enterprise from primarily static to heavily dynamic). Major Assessment Strategy: Daily “Do Now, homework, paper-pencil and computer software based projects and class assignments, class participation and preparation, non-announced homework quiz. Weekly quizzes or unit tests (Fridays), class participation and preparedness, paper- pencil and computer software based projects, cooperative groups work and your class folders. Every 5 weeks turn the notebook for grading and the “Internet Time”(30 min daily or total 2,5 hours weekly for grade letter A), projects and its presentation. Other: midterm exams, semester finals and term projects Fridays will contain either a test or a quiz from a wide variety and multiple forms of assessment instruments (chapter tests, cumulative tests, comprehensive tests and alternative assessments) in addition to those: projects, reading journals, research papers, constructions (both paper and computer based), booklets involving open-ended problems. Projects will be assigned in each of the 5 or 10 weeks grading period. Presentations of cooperative group work: weekly Grading: CMA-B Grading Scale Tests - 25% Quizzes- 25% A 93-100 Class work assignments- 20% B 85-92 (“Do Now”, computer lab, GSP, any class assignment) C 75-84 Homework) 10% D 65-74 Notebook, folders, F below 65 Internet time, and Projects 10% Prepared for learning 10% * The grading scale is the subject to change. The grade for the semester is the cumulative grade from two quarters. More about all grading procedures will be explain in class. Assignments, Homework and Grading Policy Homework Policy 1. Using the Agile Mind program, which is Internet based, as part of your homework is anticipated on a daily basis. It will be your responsibility to find a way you can use the Internet: school’s library, advanced algebra room’s computers, or your local library. The Internet time is graded heavily. 2. Homework will be assigned daily and graded daily. Part of the assignment is the reading of the lesson from the Internet (Internet Time will give you the credit also), taking notes and writing answers to all questions in the lesson in Cornell Notes System. The homework is due at the start of the period the next day. A portion of every class period will be spent going over the homework. On the calculation problems, you must show your work to be able to receive credit. You will correct the homework in class and write out the steps for answers you did not solve correctly. I give unannounced Homework Quiz once or twice a week and you can use your own notebook for it- no textbooks. 3. A Notebook will be provided in a special way by using Cornell Notation (all of the details will be provided and you will find it also on the class’ website); you can use your notebook in some of your quizzes and tests! 4. Extra help will be provided in the Homework Laboratory and before or after school 5. You can get the homework and extra course information on the given website; you can also contact me via the Internet using your school/class web site Make-up In case of excused absences, you will check the class homework posted on the class’ wall or on the class website and rewrite the notes from the classmates. TESTS If you miss a test/quiz, it is up to you to make arrangements to make it up. If you fail the test (74% (D)-64% (F) and lower) the following happens: you must correct all the wrong answers on your test and take the second version of this test on the following Wednesday within one week. The test must also be handed back with a parent signature. Quizzes The only way to learn math is to practice it! The homework based quizzes will last no longer then 5-10 min. They cannot be made up. The quiz ends at the exact time for everybody. Late Work Policy You are always better off turning in an assignment late than not turning it in at all and receive 0 points! Late assignments will receive a penalty of 10% each day but with a just 3 days window. Tardiness/Absence Policy 1. Come to class on time! 2. Standing outside the door and rushing in after the bell has begun to ring will constitute a tardy. You must be INSIDE the door when it begins ringing to be counted on time. The bell is the “Tardy bell” 3. Attend to personal needs before coming to class and come prepared for the class 4. Advance Algebra Trigonometry 46 minutes class strictly belongs just to this class and the lesson takes place in the room 317 exclusively! Passes from other teachers will not be respected. What to do if you are absent: If you miss a day is up to you to do the following: Log-on into the Internet and “check” your assignments Ask a friend for the notes and all the class work and homework. Turn in any assignments that were due the day you were out. Check the class website for the assignments or the class poster/calendar. If it was a test day, make arrangements to make it up on Wednesday Follow the requirements! I have high expectations for all my students and we will move at a fast pace in this class. Some Suggestions for success: 1. Spend your time really participating in class and quality time on the homework assignments (half of your success in this class!) 2. Keep your math notes neat, organized and completed (20% of your grade!) 3. I’ll be in my classroom available between 7:45 and 8:00 AM and after 8th period for students who may need extra help. If so set up time with me a day before. 4. View the useful Internet sites and other NEWS all placed for you on the classroom information desk (on the back board) and on our Website. Classroom Rules The class behavior is geared to cooperation. Follow directions the first time they are given Come to class prepared and on time Leave the food, gum, headgear, make-up any electronic devices in your locker Respect everyone using polite language and take care of the room’s property. Remember; check the class Website daily for the course announcements Unexcused Absences Your absence is unexcused if you do not have a reinstatement when you return to class. You cannot make up assignments if your absence is unexcused. Course Requirements/Rules & Procedures will follow. Chicago Military Academy ---Bronzeville Dear Parents/Guardians, The Advance Algebra instructor wants to thank you in advance for your cooperation with my efforts to prepare your child for a happy and successful school year. If I can help you in any way, please feel free to contact me at 773-534-9750 or send me an email at jantkiewicz@cps.edu using the school’s website. The grades will be posted on the website as well and you will have access to monitor them. I encourage students to stop by my room or to make an appointment with me if they are having any problems in Advance Algebra with Trigonometry. Math Lab is held after school Monday through Thursday in room 412 from 3-4pm. It is a wonderful opportunity for students to get assistance with homework and any missed assignments or with any concepts they might not have understood. I look forward to having an enjoyable and exciting year. Sincerely, Ms.Antkiewicz _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ Please detach the completed bottom portion and return to the teacher. I have read the above letter and course syllabus and understand the expectations and requirements for the CMA-B Algebra with Trigonometry Course. _______________________________ _____________ Student Signature Date Parent/Guardian Signature Date ____________________________________________________ Parent/Guardian Contact Information: Email: ________________________ Home Phone: ________________________ Work Phone: ________________________ Cell Phone: ________________________ Let’s Have a Great Year “Everyone has talent. What is rare is the courage to follow talent to the dark place where it leads” – Erica Jong