# Course Design for Basic Math

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:
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

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:
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

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:
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

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:
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

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

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

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

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

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

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

A 90 - 100%
B 80-89%
C 70-79%
D 60-69%
F Below 60%

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