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MATH 096, MATHEMATICS IN ACTION II
6 PERIODS, 5 LECTURES, 1 LAB. 0 CREDIT

1. Catalog Description
2. Instructional Objectives
3. Performance Objectives
4. Attendance
5. Textbooks
6.Graphing Calculator
7. Course Grading
8.Grading Standards
9.Course Outline


Catalog Description:

This course introduces you to the concept of a function via numerical, graphical, and algebraic representations. Operations with polynomials, rational expressions, and radicals are explored in the context of functions. Linear equations and inequalities and quadratic equations are also studied. Students are introduced to data collecting and elementary formulations of models for data. An emphasis will be placed on problem solving skills incorporating the use of a graphing calculator. A graphing calculator will be required. [Top]

Instructional Objectives

During this course, the instructor expects to:

  1. Introduce you to the concept of a function via algebraic, graphical, and numerical representations.
  2. Introduce you to polynomial (including linear, quadratic, and power) functions, absolute value functions, reciprocal functions, and exponential functions and their domain and range.
  3. Explore properties of linear, quadratic, and exponential models.
  4. Provide you with skills for the further study of mathematics.
  5. Use a graphing calculator to develop properties of polynomial and other
    functions and to use it to help understand mathematical problems.
  6. Introduce you to data collection, averaging, and graphical analysis of data.
  7. Promote an appreciation of different problem solving approaches as they relate to your cultural background and diversity.[Top]

Performance Objectives:

At the conclusions of this course, you will be able to:

  1. Use various representations of functions and understand their properties.
  2. Identify basic characteristics of polynomial (including linear, quadratic, and power) functions, absolute value functions, reciprocal functions, and exponential functions.
  3. Compare and contrast linear, exponential, and quadratic models and apply these models in real world problem solving as well as in theoretical settings.
  4. Solve linear equations and inequalities and quadratic equations, performs operations with algebraic expressions, find the equation of a line, and graph linear equations.
  5. Graph functions studied in this course using a graphing calculator and be able to use various features of the graphing calculator to help understand and solve mathematical problems.
  6. Calculate averages and graph data with a graphing calculator.
  7. Demonstrate different approaches to problem solving.[Top]

Attendance

More than 3 unexcused absences will result in a grade of WU or F. [Top]

Textbooks:

The text, which is available at the college book store, is:
Intermediate Algebra: A Graphing Approach ( Second Edition)
by Martin-Gay and Green (Prentice Hall) [Top]

Graphing Calculator

A graphing calculator (preferably a TI-83) is an essential tool and is required for this course [Top]
Course Grading

Grading Standards:
a) Contribution to Collaborative Learning.... 5 %
b) Quizzes................................................. 20 %
c) Portfolio .................................................15 %
d) 2 Gateway Exams...................................30 %
e) Final Gateway.........................................30 %

Minimum Required:
An overall grade of 70% is the minimum passing grade.[Top]

Explanation of Grading Standards
1. Gateway Exams

The gateway exams are departmental. Each gateway will consist of two parts: Part I will contain 15 questions which are designed to test skills and algebraic manipulations, while Part II will contain 8 word problems which will test conceptual understanding. You will be required to answer any 5 questions in Part II. Partial credit will be awarded and no credit will be given if no work is shown, so it is important for you to show every step in your solutions leading to the final answers. Calculators may be used for all exams.

2. Collaborative Learning

Working with others to solve a problem is a skill valued in the workplace. You must be able to discuss your ideas with others and be willing to have them critiqued and improved upon. Therefore, a portion of your grade will be based on your ability to solve mathematical problems with your classmates.

3. Portfolio

Your portfolio is a folder containing projects (a minimum of two) and problems from your text assigned to you throughout the semester. Some of the projects will require you to use a graphing calculator and will incorporate ideas introduces in the classroom. The projects will include a portion devoted to your ability to express mathematical ideas in writing. Being able to write down your ideas and communicate them effectively is another important skill for the workplace. A project may require you to do research in the library. You may discuss a project with classmates outside the classroom, but you must write it up using your own words and ideas.

4. Quizzes

Your professor will give several quizzes during the course of the semester.

5. Math Lab

You will meet in the Math Lab (E-215) one hour every week an work on lab sheets containing problems that will enhance your computational skills. You are encouraged to work together and learn from each other. Should you need further assistance, you may ask the lab assistants or bring your questions up with the professor in class. These sheets must be handed in to the lab assistants at the end of the hour. They will then be placed in your professor's folder for review. [Top]

COURSE OUTLINE FOR MATH 096

Text: Intermediate Algebra: A Graphing Approach
by Martin-Gay and Greene (Prentice Hall)

The following schedule of assignments should be taken as basis for the actual schedule of assignments to be followed in the classroom. Topics put in parentheses should be considered optional.

Unless the professor says otherwise, students should do the odd numbered problems assigned as homework. The homework problems specified below may be modified by your professor.

LES.
SEC.
PG.
TOPIC
EXERCISES
PAGE
1-2
1.2
19-28
Operations on Real Numbers
1-12, 27-73 odd, 81-84
29,31
3

1.4

41.47
Solving Linear Equations Algebraically
1-20 odd, 23-29
47, 49
4
Pre-Test
5
1.5
49-55
An Introduction to Problem Solving
1-8, 17-32, 41, 57,59
56-59
6-7
1.6
59-65
A Numerical Approach: Modeling with Tables
5, 9-21, 29, 30, 31
66, 70
8
1.7
71-76
Formulas and Problem Solving
1-8
77
9
Quiz 1: Designed by Professor
10
2.1
106-118
Introduction to Graphing and Graphing Utilities
1-10, 29-34
118,119
11
2.1
106-118
Continue
61- 84
120,121
12
2.2
123-133
Introduction to Functions
1-4, 15-18, 23-28, 47-63
133-138
13
2.3
139-146
Graphing Linear Functions
9-20, 29-32
146-147
14
2.4
149-159
The Slope of a Line
1-8, 26-32,34-37, 60-65
160-162
15&16
2.5
164-170
Equations of Lines
1-16,21-30,40-45,47-52
171-172
17
3.1
196-202
Solving Linear Equations Graphically
11-18, 41, 42
203
18
3.2
204-214
Solving Linear Inequalities and Problem Solving
3-8, 35-44
214-215
19
(3.6)
239-243
(Graphing Linear Inequalities in Two Variables)
1-9, 47-50
244
20&21
4.1
256-265
Solving Systems of Linear Equations in 2 Variable
3-6, 15-18
266
22
4.3
274-281
Systems of Linear Equations and Problem Solving
1, 2, 5-9, 11, 12, 14-18
282
23
Quiz 2: Designed by Professor
24
Gateway 1 Part 1Review
Chapters 1 through 5
25
Gateway 1 Part 1 Exam
Chapters 1 through 5
26
Gateway 1 Part II Review
Chapters 1 through 5
27
Gateway 1 Part II Exam
Chapters 1 through 5
28
5.1
312-318
Exponents and Scientific Notation
1-15odd, 23-34, 52-81
319
29
5.2
320-324
More Work with Exponents and Scientific Notation
1-11, 18-20, 23-50, 57-70
324, 325
30
503
327-333
Polynomials and Polynomial Functions
55-62
336
31
5.4
338-343
Multiplying Polynomial
4-12, 19-24, 27-34
344
32
5.5
346-349
The Greatest Common Factor and Factoring by Grouping
3-16, 33-442
349
33&34
5.6
351-357
Factoring Trinomials
1-11, 21-28, 53-60
358
35
5.7
359-365
Factoring by Special Product and Factoring Strategies
1-12, 68, 70
365,366
36
6.1
388-395
Rational Functions and Simplifying Rational Expressions
17-29
396
37
6.1
388-395
Multiplying and Dividing Rational Expressions
37-54
396
38&39
6.2
398-402
Adding and Subtracting Rational Expressions
27-34, 41-47, 51-58
403,404
40
6.3
405-408
Simplifying Complex Fractions
1-4, 36-42
409,410
41
Quiz 3: Designed by Professor
42
6.4
411-414
Dividing Polynomials
23-28,31-37
416
43
6.6
421-424
Solving Equations Containing Rational Expressions
11-15
425
44
6.7
428-434
Rational Equations and Problem Solving
27-33
435-436
45
7.1
460-464
Radicals and Radical Functions

11,12,21,22,25,31,32
55-64

465, 466
46
7.2
467-472
Rational Exponents
1-6, 29-34
472
47
7.3
474-477
Simplifying Radical Expressions
1-6, 31-45
478
48
7.4
479-481
Adding, Subtracting and Multiplying Radical Expressions
1-10, 47-52
482
49
7.5
483-487
Rationalizing Numerators and Denominators of Radical Expressions
1-7,29-34,49-54,66-68
488
50
7.6
489-494
Radical Equations and Problem Solving 1-10 495
1-10
495
51
8.1
516-523
Solving Quadratic Equations by Completing the Square
1-12, 39-42
524, 525
52
8.2
526-532
Solving Quadratic Equations by the Quadratic Formula
1-12
533
53
8.3
536-541
Solving Equations by Using Quadratic Methods
7-12, 15-18
542
54
8.5
552-558
Quadratic Functions and Their Graphs
5-10, 15-18
558
55
Quiz 4: Designed by Professor
56
Gateway 2 Review
Chapters 6 through 9
57
Gateway 2 Part 1 Exam
Chapters 6 through 9
58
Gateway 2 Part II Review
Chapters 6 through 9
59
Gateway 2 Part 2 Exam
Chapters 6 through 9
60&61
Final Review
Chapters 1 through 9
FINALS WEEK
FINAL EXAM [Top]
 
     

H.F. LaGuardia Community College, The City University of New York, 31-10 Thomson Avenue, Long Island City, NY 11101
Contact: Professor Hendrick Delcham, hdelcham@lagcc.cuny.edu
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