Course Information
| Organization |
EASTERN ARIZONA COLLEGE |
| Division |
Mathematics |
| Course Number |
MAT 055 |
| Title |
Basic Math |
| Credits |
4 |
| Developed by |
Dr William Kimball |
| Lecture/Lab Ratio |
5 lecture / 0 lab |
| Transfer Status |
Non-Transferable |
| Activity Course |
No |
| CIP Code |
27.0101 |
| Assessment Mode |
Pre/Post Test (50 Questions/100
Points) |
| Semester Taught |
Fall and Spring Semesters |
| GE Category |
None |
| Separate Lab |
No |
| Awareness Course |
No |
| Intensive Writing Course |
No |
Prerequisites
Placement testing or equivalent
Educational Value
To general education: Necessary to just function in society.
For vocational purposes: In every vocation a person needs to understand basic
math.
Goals
1. Students will be able to add, subtract, multiply and divide with whole
numbers, fractions, decimals
and integers.
2. Students will understand and work with perimeter, area and volume formulas
involving geometric
shapes.
3. Students will be able to solve percentage, proportion and linear equations
involving a single
variable.
4. Students will be prepared for more advanced Mathematics courses .
Description
A basic course in mathematics with attention given to the operations of
addition, subtraction,
multiplication and division of rational numbers. Problem solving with
percentage, measurement
(perimeter, area, and volume) and linear equations with one variable .
Textbooks
Jeffrey Slater, John Tobey. Basic College Mathematics. Edition: 5th.
Publisher: Prentice-Hall. Year:
2005. Required
Supplies
Calculator
Competencies and Performance Standards
1. Utilize whole numbers in numerical expressions and application problems
Learning objectives
What you will learn as you master the competency:
a. Add whole numbers
b. Subtract whole numbers
c. Multiply whole numbers
d. Divide whole numbers
e. Apply the order of operations on numerical expressions involving whole
numbers
f. Solve application problems involving whole numbers
Performance Standards
You will demonstrate your competence:
on assigned activities
on written exams
on a two hour cumulative final exam
Your performance will be successful when:
you can demonstrate the ability to perform the basic operations (adding,
subtracting,
multiplication, and division) with whole numbers
you can demonstrate the ability to use the order of operations on numerical
expressions
involving whole numbers
you can demonstrate the ability to solve application problems invilving whole
numbers
2. Utilize fractions in numerical expressions and
application problems
Learning objectives
What you will learn as you master the competency:
a. Add fractions
b. Subtract fractions
c. Multiply fractions
d. Divide fractions
e. Apply the order of operations on numerical expressions involving fractions
f. Convert between mixed numbers and improper fractions
g. Solve application problems involving fractions
Performance Standards
You will demonstrate your competence:
on assigned activities
on written exams
on a two hour cumulative final exam
Your performance will be successful when:
you can demonstrate the ability to perform the basic operations (adding,
subtracting,
multiplication, and division) with fractions
you can demonstrate the ability to use the order of operations on numerical
expressions
involving fractions
you can demonstrate the ability to convert between mixed numbers and improper
fractions
you can demonstrate the ability to solve application problems involving
fractions
3. Utilize decimals in numerical expressions and
application problems
Learning objectives
What you will learn as you master the competency:
a. Add decimal numbers
b. Subtract decimal numbers
c. Multiply decimal numbers
d. Divide decimal numbers
e. Apply the order of operations on numerical expressions involving decimals
Performance Standards
You will demonstrate your competence:
on assigned activities
on written exams
on a two hour cumulative final exam
Your performance will be successful when:
you can demonstrate the ability to perform the basic operations( adding,
subtracting,
multiplication and division) with decimal numbers
you can demonstrate the ability to use the order of operations on numerical
expressions
involving decimal numbers
you can demonstrate the ability to convert between decimal numbers and fractions
you can demonstrate the ability to solve application problems involving decimals
4. Utilize integers in numerical expressions and
application problems
Learning objectives
What you will learn as you master the competency:
a. Add integers
b. Subtract integers
c. Multiply integers
d. Divide integers
e. Apply the order of operations on numerical expressions involving integers
f. Solve application problems involving integers
Performance Standards
You will demonstrate your competence:
on assigned activities
on written exams
on a two hour cumulative final exam
Your performance will be successful when:
you can demonstrate the ability to perform the basic operations ( adding,
subtracting,
multiplication, and division) with signed numbers
you can demonstrate the ability to use the order of operations on numerical
expressions
involving signed numbers
you can demonstrate the ability to solve applications problems involving signed
numbers
5. Utilize percents in numerical expressions and
application problems
Learning objectives
What you will learn as you master the competency:
a. Change between percents, decimals and fractions
b. Solve equations involving percents
c. Solve application problems involving percents
Performance Standards
You will demonstrate your competence:
on assigned activities
on written exams
on a two hour cumulative final exam
Your performance will be successful when:
you can demonstrate the ability to convert between decimals, fractions, and
percents
you can demonstrate the ability to solve application problems involving percents
6. Utilize U.S. and Metric systems of measurement
Learning objectives
What you will learn as you master the competency:
a. Identify the basic unit equivalencies in the U.S. system
b. Convert from one unit of measure to another in the U.S. system
c. Identify the basic unit equivalencies in the metric system
d. Convert from one unit of measure to another in the metric system
e. Solve application problems involving U.S. and metric systems of measures
Performance Standards
You will demonstrate your competence:
on assigned activities
on written exams
on a two hour cumulative final exam
Your performance will be successful when:
you can demonstrate the ability to perform conversions between American units of
measure
you can demonstrate the ability to perform conversions between metric units of
measure
you can solve application problems involving American and/or metric units
measure
7. Solve application problems involving ratios and
proportions
Learning objectives
What you will learn as you master the competency:
a. Use a ratio to compare two quantitites with the same unit
b. Use a rate to compare two quantities with different units
c. Solve proportion equations
d. Solve application problems involving ratios and proportions
Performance Standards
You will demonstrate your competence:
On assigned activities
On written exams
On a two-hour cumulative final exam
Your performance will be successful when:
you demonstrate the ability to use ratios to compare two quantities with the
same or
different unit
you demonstrate the ability to solve application problems involving proportions
8. Perform basic algebraic operations on linear
expressions
Learning objectives
What you will learn as you master the competency:
a. Combine like terms containing a variable
b. Apply the distributive property to remove parentheses
c. Simplify algebraic expressions by removing parentheses and combining like
terms
Performance Standards
You will demonstrate your competence:
On assigned activities
On written exams
On a two-hour cumulative final exam
Your performance will be successful when:
you demonstrate the ability to simplify algebraic expressions by removing
parentheses
and combining like terms
9. Utilize algebraic equations in solving application
problems
Learning objectives
What you will learn as you master the competency:
a. Solve algebraic equations using the basic properties of equality
b. Solve algebraic equations where the variable is on both sides of the equals
sign
c. Solve algebraic equations with parentheses
d. Translate comparisons in English into mathematical equations using variables
e. Solve applications problems involving algebraic equations
Performance Standards
You will demonstrate your competence:
On assigned activities
On written exams
On a two-hour cumulative final exam
Your performance will be successful when:
you demonstrate the ability to solve a variety of first degree equations
involving
parentheses and more than one variable term
you demonstrate the ability to translate English to algebraic expressions
you demonstrate the ability to utilize algebraic equations to solve applications
problems
Types of Instruction
Classroom presentation
Computer Laboratory
Grading Information
Grading Scale
A 90 - 100%
B 80-89%
C 70-79%
D 60-69%
F Below 60%
