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Basic Mathematics

COURSE TOPICS CONTACT HOURS PER TOPIC
I. Operations with Whole Numbers

A. Place Value
 1. Reading and Writing Number Statements
 2. Rounding Whole Numbers
 3. Number Properties
B. Fundamental Operations
 1. Addition
 2. Subtraction
 3. Multiplication
 4. Division
C. Exponents
D. Order of Operations
E. Applications

5
II. Operating with Fractions

A. Introduction
B. LCD and Order Relations
C. Equivalence and Simplification
D. Fundamental Operations
 1. Addition
 2. Subtraction
 3. Multiplication
 4. Division
F. Applications

11
III. Operating with Decimals

A. Place Value
 1. Reading and Writing Number Statements
 2. Rounding Decimals
 3. Decimals to Fractions
 4. Comparing Decimals
B. Fundamental Operations
 1. Addition
 2. Subtraction
 3. Multiplication
 4. Division
C. Applications

8
IV. Ratios and Proportions

A. Simplification of Ratios and Rates
B. Unit Rates
C. Solving Proportions
D. Applications

4
V. Percents

A. Percents to Fractions and Decimals
B. Three Types of Percent Problems
 1. Percent of a Number when Base and
Percentage are Known
 2. Base When Amount and Percentage are Known
 3. Compute Percentage when Base and Rate
Are Known
D. Applications to Percent

11
VI. Introduction to Signed Numbers

A. Fundamental Operations with Integers
B. Fundamental Operations with Rational Numbers
C. Order of Operations

14
VII. Introduction to Algebra

A. Combining Similar Terms and Order of Operations
B. Evaluating Algebraic Expressions and Formulas
C. Solving Simple Linear Equations in One Unknown

5
VIII. Geometry (To be discussed with whole numbers, fractions,
and decimals)

A. Perimeter of Rectangles, Squares, and Triangles
B. Area of Rectangles, Squares, and Triangles

2
*TOPICS NEED NOT BE COVERED IN THE SEQUENCE LISTED.  
Section 1
COURSE PREFIX AND NUMBER: MAT 0002
SEMESTER CREDIT HOURS (CC): 4
CONTACT HOURS (NCC):________
COURSE TITLE: Basic Mathematics  
Section 2
TYPE OF COURSE: (Click on the box to check all that apply)
AA Elective AS Required Professional Course College Prep
AS Professional Elective AAS Required Professional Course Technical Certificate
Other ____ PSAV Apprenticeship
General Education: (For General Education courses, you must also complete Section 3 and Section 7)
Section 3 (If applicable)
INDICATE BELOW THE DISCIPLINE AREA FOR GENERAL EDUCATION COURSES:
Communications Social & Behavioral Sciences Mathematics
Natural Sciences Humanities    
Section 4
INTELLECTUAL COMPETENCIES:
Reading Speaking Critical Analysis Quantitative Skills Scientific Method of Inquiry
Writing Listening Information Literacy Ethical Judgment Working Collaboratively

Section 5
LEARNING OUTCOMES

METHOD OF ASSESSMENT

 • 1T he successful student should be able to:  
Appreciate basic mathematics and gain confidence in
their ability to learn and use basic mathematics,
appropriately
Demonstrated level of confidence and abilities to use
basic mathematics while participating in a variety of
individual and collaborative class activities,
supplemental learning activities, outside assignments,
quizzes and tests
Understand and perform mathematical operations with
whole numbers relating to place value, fundamental
operations, exponents, order of operations and
applications
Accurate communication about whole numbers and
demonstrated proficiency to solve problems using
whole numbers
Understand and perform mathematical operations with
fractions relating to LCD and order relations,
equivalence and simplification, fundamental operations
and applications
Accurate communication about fractions and
demonstrated proficiency to solve problems using
fractions
Understand and perform mathematical operations with
decimals relating to place value, fundamental
operations and applications
Accurate communication about decimals and
demonstrated proficiency to solve problems using
decimals
Simplify ratios and rates, determine unit rates, solve
proportions and apply the knowledge of ratios and
proportions
Accurate communication about proportions and ratios
and demonstrated proficiency with related
mathematical manipulations
Understand and perform mathematical operations with
percents and the relationship to fractions and decimals
Accurate communication about percents and
demonstrated proficiency solving problems using
fractions and decimals
Understand the basics of signed numbers and perform fundamental operations with integers and rational numbers and the order of operations Accurate communication about signed numbers and demonstrated proficiency solving problems with signed numbers
Understand and perform mathematical operations related to introductory algebra Accurate communication about introductory algebra and proficiency to solve simple linear equations
Understand geometry in the context of whole numbers, fractions and decimals Accurate communication about the perimeter of rectangles, squares and triangles
Section 6
Name of Person Completing This Form: Donna Martin, Nancy Eschen, Judy Batson Date: 11/19/2007

SECTION 7 MUST BE COMPLETED FOR ALL GENERAL EDUCATION COURSES ONLY (exclude AA electives)

Section 7
KNOWLEDGE

Primary Secondary N/A VALUE Primary Secondary N/A
A. Global and Historical Knowledge & Understanding       Intellectual honesty
 •Comprehends a general knowledge of the nature, origins and contributions of major civilizations Curiosity and openness to new ideas
 •Comprehends the workings and interrelations of personal, business and government economies Recognition of one’s own creative potential
 •Comprehends political, social and economic systems and their effects upon society Acceptance of and respect for differences among people and cultures
B. Cultural and Aesthetic Knowledge and Understanding      
 •Comprehends the contributions of the arts and humanities to the human experience on a personal, national or global level Civic Engagement
 •Comprehends the historical development of the arts and sciences Lifelong Learning
 •Comprehends religious and cultural systems and their effects upon society        
C. Human Awareness and Understanding              
 •Comprehends the dynamics of human behavior and the process of increasing self-awareness, growth and development        
 •Comprehends the stages of human development and the dynamics of human relationships in diverse cultures        
 •Comprehends the factors that promote physical, mental and social well-being        
D. Mathematics, Science and Technology              
 •Comprehends the basic concepts and investigative processes of the natural sciences        
 •Comprehends the breadth, significance and development of the mathematical sciences        
 •Comprehends the ways science and technology have shaped and continue to reshape human cultures and the environment        
Section 8
Name of Person Completing This Form: Donna Martin, Nancy Eschen, Judy Batson Date: 11/19/2007
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