The Chicago Military Academy at Bronzeville



The Chicago Military Academy at Bronzeville

3519 S. Giles Ave

Chicago, IL 60653

Course Syllabus

College Mathematics

Course number: 40810

Department: Mathematics

Department Chair: Mrs. B. Matushek

Ms. Jozefa Antkiewicz

1st period/room 301 Pre-Calculus

2nd period/room 301 College Mathematics

4th period/room 301 College Mathematics

5th period/room 301 Geometry

7th period/room 301 College Mathematics

Office Hours: Tuesdays and Thursdays - 8th period (2:10 p.m. to 4:00 p.m.) in room 301.

Voice Mailbox Number – 29580

CPS Email – please, use the school website

The Skills-based Learning and Assessment Curriculum of the Chicago Military Academy at Bronzeville

The Skills-based Learning and Assessment Curriculum of the Chicago Military Academy at Bronzeville

The Skills-based Learning and Assessment Curriculum of the Chicago Military Academy at Bronzeville is a standards-based curriculum designed to provide cadets with skills mastery of the Illinois Learning Standards, ACT WorkKeys® skills and ACT College Readiness Standards. Within these standards frameworks, course objectives are defined as a compilation of the skills and knowledge identified herein. The Critical Benchmark Skills List at Paragraph 4 (below) constitutes the learning standards of this course.

1. Course Description

College Mathematics course is a continuation of Advanced Algebra course designed to prepare students for any introductory level college math course. The students will have an opportunity to discover the practical power of mathematics' concepts implemented geometrically, numerically, algebraically and verbally in an Inquiry-based Learning approach. The use of technology, extended projects, writing assignments, group learning and modeling will clarify, explore, connect and facilitate students' conceptual understanding and enhance their fundamental skills connecting them to the real life. This course includes the following topics: modeling, linear relations and functions, systems of equations, polynomial and rational functions, the nature of graphs, exponential and logarithmic functions, trigonometric functions and their graphs, basic trigonometric identities as well as basic of conic section, sequences and series, and probability.

 Prerequisites: Advanced Algebra basic level skills

2. Course Resources

Materials issued to the student:

Textbook: College Algebra 4th edition

Software:

• Accelerated Math (Math Management Software)

• Graphing calculators

• “The Sketchpad” software

Materials to purchase: 5 subject notebook or 3-ring binder, scientific/graphing calculator (strongly recommended), ruler, loose leaf paper, grid paper, 3 folders, manual pencil sharpener, box of pencils, red pen, and eraser.

3. Course Requirements

What will be graded?

Your learning will be assessed in many ways not just tests and quizzes, but you will be asked also to participate in classroom and group discussions solving problems and complete assigned individual or group projects. Each marking period, you will be expected to master a certain number of objectives to be completed in class and home.

Notebook, Binders, and Folders (where your completed assignments will be kept in the classroom) I expect them to be turned in at the end of each term. They contain class work provided by individually diagnostic practice assignments (accelerated math software), any class notes, projects, and homework that has been assigned. This grade will be followed but special requirements rubrics.

Quizzes and Tests are used to assess the student’s mastery of the course content. Tests are given at the ends of units, or of the marking period, when the skill is mastered, with quizzes given in the intervening periods. Students are also required to write about investigations of more complex problems inquiry-based approach in the:

Problems of the marking period (Project); these will be assigned two to three times during the ten-week marking period. Students are also graded for completing their bell-ringer and for presentations.

Homework:

Is required in order to complete the practice assignments and master the skills to pass your benchmarks.

Grades will be calculated as follows:

• Class Work /Practice Tests: 20%

• Journal 10%

• Class Projects: 10%

• CBSL Assessments: 60%

-Benchmarks 35%

-Unit Exams 25%

4. Critical Benchmark Skills List

First Semester

Quarter 1

Review of Fundamental Concepts of Algebra

1. Categorize and recognize numbers in Real Numbers set (N 20-23,24-27) (6.11.01)

2. Sort numbers in interval notations; define union and intersection of intervals. (GR 24-27, N 24-27) (6.11.01) (6A.3)

3. Interpret absolute value as the distance from zero on the number line (GR 28-32), (N 24-27)

4. Simplify expressions with exponents (integer, rational) and radicals.(N 24-27), (N 28-32), (BO 24-27)

5. Convert decimal to scientific notation (N 24-27), BO (20-23), N(20-23)

6. Factor algebraic expressions, (EEI 20-23) (EEI 24-27)

7. Investigate Domain of algebraic expression,(N 24-27) (EEI 24-27)-(EEI 33-36)

8. Simplifying compound fractions N(24-27), (EEI 28-32)

Equations and Inequalities

9. Solve linear equations and inequalities and model with equations(GR 24-27),(EEI 24-27),

10. Solve quadratic equations and inequalities by factoring and using quadratic formula,(EEI 24-27), (GR 24-27)

Quarter 2

Equations and Inequalities (continuation)

1. Apply properties of complex numbers ( N 24-27) N(28-32)

2. Solve absolute value equations and inequalities, (EEI 28-32),(GR 28-32)

3. Solve absolute value equations and inequalities (EEI 28-32), (GR 28-32)

Coordinates, Graphs and Functions

4. Examine distance and midpoint in the Coordinate Plane (GR 20-23) (G24-27) (EEI 28-32)

5. Graph equations and inequalities in two variables and absolute value equations/also using graphing calculators GR(28-32), N( 24-27)

6. Investigate equations of the circle F(28-32) (GR 28-32)

7. Solve direct and indirect variation problems, (EEI 24-27)

8. Identify an appropriate regression model given a situation and data set (PSD 24-27)

9. Use mathematical models to describe and explain phenomena, (PSD 28-32)

10. Add, subtract, multiply, divide, compose, and find inverses of functions (F (24-27), F(28-32)

Second Semester

Quarter 3

1. Transform functions, (F 20-23), (F 24-27)

Polynomials and Polynomial Functions 

2. Add, subtract, and multiply polynomials (EEI 24-27) 

3. Long and synthetic division of polynomials (EEI 24-27)

4.  Graph and transform polynomial functions (F 24-27)

Exponential and Logarithmic Functions

5. Define and Apply logarithmic and exponential functions (F 24-27)

6. Apply laws of logarithms, (N 33-36)

7. Solve exponential and logarithmic equations (N 24-27) EEI (33-36)

Systems of Equations and Inequalities/Matrices

8. Solve systems of equations by graphing, elimination, and substitution, (EEI 28-32)

9. Solve systems of equations using matrices (EEI 28-32)

10. Solve systems of equations using determinants (EEI 28-32)

Quarter 4

Applications in Trigonometry

1. Solve right triangles by using trigonometric ratios, (F 24-27) (F28-32)

2. Exhibit knowledge of unit circle trigonometry (F33-36)

3. Use two and three dimensional models to describe complex spatial relationships (PPF28-32)

4. Use coordinate geometry to solve problems (GR 24-27), (GR 28-32)

Sequences and Series

5. Find specified term, terms, and sum of arithmetic sequence (N33-36)

6. Find ratios of geometric sequence given 3 terms (N 33-36)

7. Find specified term, terms, and sum of geometric sequence (N 33-36)

Counting and Probability

8. Distinguish between mean, median, and mode for a list of numbers (PSD 33-36)

9. Compute probabilities in counting situations involving permutations and combinations (PSD 33-36)

10. Compute probability of single, independent, dependent and mutually exclusive events PSD (33-36)

5. Attachments/Appendices

Grades will be given based on the following scale:

A 93% and above

B 85% to 92%

C 75% to 84%

D 65% to 74%

F below 64 %

Classroom Guidelines

All math work must be written neatly, preferably in pen or pencil, organized well, underlined with a ruler, and mostly completed in the style of Cornell Notes followed with the date, aim and lesson steps; you can use your own notes in some of the tests/quizzes.

Assignments not completed in class are expected to be completed at home. On the calculation problems, you must show your work to receive credit.

Homework is NOT optional; it is required to master your skills for the TESTS is posted on the class’ website, and is given each day including Fridays and graded. 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.

I give an unannounced Homework Quiz once or twice a week and you can use your own notebook for it - no textbooks.

All students are expected to follow the CMA-B rule for zero tolerance for cheating.

Absences and tardiness:

Tardiness and absences will have a detrimental effect on your achievement. Rules outlined in the Student Handbook will be enforced. It is your responsibility to make up all missing tests and homework upon your return to school. You must make up a missed test/quiz in the homework lab within 3 days after your return or you can make an appointment with me.

Late work for full credit will be accepted from students who have an excused absence.

Late work will be accepted with 10% penalty for each day late.

Tutoring/Support

Tutoring is available for any students experiencing difficulty in the homework lab or after/before school by appointment with me on Mondays and Wednesdays.

Proper student behavior is essential as all students have a right to learn in an environment conductive to learning.

What is expected:

1. Come to class as soon as possible and write down the aim, steps and sharpen the pencils if necessary before the tardy bell.

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”. The Class Leader is responsible for execution of this rule.

3. Attend to personal needs before coming to class, and come fully prepared for the class.

4. College Mathematics is a 46 minute class in the room 301 exclusively! Work for other classes is not allowed to be worked on while in this class. Passes from other teachers will not be accepted unless it was approved by me earlier.

5. You will work in a permanent study team setting

6. You will be expected to “adopt” a sophomore pupil to supervise academically and mentor for the 2011/2012 school year for extra credit added to your average (separate explanation will be attached).

Follow the requirements for this course! 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 allow quality time for the homework assignments, which are posted daily on the class website (half of your success takes place in this class!)

2. Keep your math notes neat, organized and completed (10% of your grade).

3. Study for your weekly quiz/test for mastering an objective. Your weekly quiz comes from your class work/Practice, your home work, and your bell ringers.

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 food, gum, headgear, make-up and 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

Let’s Have a Great Year [pic]

“Everyone has talent. What is rare is the courage to follow talent to the dark place where it leads”

– Erica

Chicago Military Academy -Bronzeville

Dear Parents/Guardians,

The College Mathematics instructor wants to thank you in advance for your cooperation with our efforts to prepare your child for a happy and successful school year.

Homework will be given every day. Homework and all important announcements are posted on the school website on a daily basis.

I will be available in school every Tuesday and Thursday between 3:00PM-4:00PM for students to get assistance with any missed assignments or with any concepts they might not have understood. Students can also make an appointment to see me before school or after school at mutually convenient times. They can come and see me during their lunch if it coincides with any of my prep periods.

Academic Augmentation/Detention: Cadets who are found to be failing or being behaviorally disruptive will be required to come to the classroom at 6:30 A.M. A parent/guardian will be called to inform them. The cadet will be required to do work for class. If the cadet does not arrive, s/he will be referred to Sgt. Major Tuffs for possible suspension.

If I can help you in any way, please feel free to contact me at 773-534-9750,

or send me an email, which you can find also at school’s website.

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 College Mathematics Course.

_______________ ________________ _____________

Student Signature Print Name Date

___________________________________

Parent Signature Parent’ email address. Day-time phone number

Please PRINT

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