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
Ms. Jozefa Antkiewicz
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
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
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
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.
You will be using the following texts or programs in this course.
1.Title: Agile Mind Course Support Service – Algebra 2
Publisher: Charles A. Dana Center, University of Texas at Austin; Agile Mind
2. Title: Agile Mind Course Support Service – Precalculus
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
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
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
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,
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
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
College ruled notebook paper
Graph paper and blank paper Pen and color marker
Graphing calculator greatly
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
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
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
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
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
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.
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.
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
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.
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.
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
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
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 email@example.com 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.
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
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
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Parent/Guardian Contact Information:
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