• Courses numbered 1 - 49 are remedial or college preparatory courses which do not apply toward an A. A. Degree and are not intended for transfer.
• Courses numbered 50-99 apply toward an AA Degree, but are not intended for transfer.
• Courses numbered 100 and higher apply toward an AA Degree and/or are intended for transfer to a four-year college or university.

Unit Value: 3  

Lecture Hours Per Week: 3  

Lab Hours Per Week:  

Lecture/Lab Hours Per Week:  

 

Requisite(s)
To satisfy a prerequisite, the student must have earned a letter grade of A, B, C or P(Pass) in the prerequisite course, unless otherwise stated.

Prerequisite:
None

Corequisite:
None

Prerequisite: Completion of, or concurrent enrollment in
None

Recommended Preparation:
None

Limitation on Enrollment:
None

1. Identify and use arithmetic operations and the order of operations agreement to simplify arithmetic expressions and to solve application problems
2. Use estimation in both solving problems and in checking the reasonableness of results
3. Explain the relationship between fractions, decimals, and percents
4. Identify and use perimeter, area, and volume to solve application problems
5. Convert measurements within and between the U.S. Standard Systems and the Metric System
6. Use a variable to represent missing information, solve proportions and percent equations, and to generalize patterns
7. Apply various problem-solving strategies to solve multi-step or non-routine problems

1. Lecture

1. Operations on Whole Numbers
1. The number line and order relationships
2. Addition, subtraction, multiplication and division of Whole numbers
3. Conceptual models of operations
4. Commutative and Associative properties
5. Rounding and estimating
6. Applications and Problem solving using Whole Numbers
7. Exponential notation
8. The Order of Operations Agreement
2. Operations on Integers
1. Addition, subtraction, multiplication and division of Integers
2. Conceptual models of operations
3. Opposites or additive inverses
4. Absolute value
5. Applications and Problem solving using integers
3. Operations on Fractions
1. Prime and composite numbers
2. Prime factorization
3. Multiples, Factors and Divisibility rules
4. Least Common Multiples
5. Addition, subtraction, of fractions
6. Multiplication and division of fractions
7. Reciprocals
8. Conceptual models involving operations on fractions
9. Improper fractions and mixed numbers
10. Applications and Problem solving using fractions and mixed numbers
4. Decimal Numbers
1. Converting from fractions to decimals
2. Converting from decimals to fractions, as appropriate
3. Addition, subtraction, multiplication and division of decimals
4. Estimating and rounding
5. Conceptual models involving operations on decimals
6. Applications and Problem solving using decimal numbers
5. Ratios and Proportions
1. Introduction to ratios and proportions
2. Solving a proportion for the missing variable
3. Application of ratio and proportions in a variety of situations, including similar figures
6. Percent
1. Understanding the percent notation and the relation between percent decimals and fractions
2. Solving percent problems using ratios and/or equations
3. A variety of applications of percent: Tax, commission, discount, interest, etc.
7. Geometry and Measures
1. Systems of measurement: The U.S. Standard system and the Metric system
2. Estimate, use and perform measurements in both systems
3. Select the appropriate units and tools for measuring lengths and angles
4. Introduction to rectangles, triangles, circles and composite figures
5. Use the appropriate formulas to calculate the area and/perimeter of geometric figures and to solve application problems
6. Introduction to sphere, rectangular prism, cylinder, cone, and composite figures
7. Introduction to Square roots and Pythagorean Theorem
8. Use the appropriate formulas to calculate the volume and/or capacity and to solve application problems
9. Introduction to weights, mass and temperature measurements
10. Apply dimensional analysis to convert units
8. Introduction to Algebraic thinking
1. Generalizing patterns using input-output tables
2. Reading and interpreting graphs: pie charts, histograms, line graphs, etc.
9. Additional topics may be included at instructor's discretion

1. Aufmann, Richard N., Vernon C. Barker, and Joanne S. Lockwood. Prealgebra. 3rd edition. Boston: Houghton Mifflin, 1998. OR
2. Lienhart, Shannon, and Monika Brannick. Prealgebra: An Introduction to Practical Mathematical Thinking. Boston: Houghton Mifflin, 1997. OR
3. Bittinger, Marvin, and David Elenbogen. Prealgebra. 3rd edition. New York: Addison-Wesley, 2000 OR
4. Other similar textbooks

• Exams/Tests
• Homework