Catalog Information:
Survey of the fundamentals of mathematics. Covers real numbers, integers,
equations, and
decimals. Hours not counted toward graduation.
Prerequisite: Assessment testing or permission.
Text: Prealgebra: A Transitional Approach, by Beer and Peake.
Introduction to Set Theory (3 days)
• Terminology and notation of sets
• Listing elements of a set
• Determine whether a set is infinite or finite
• Set relations including subset, null set, or empty set
• Ope rations with sets including union and intersection
• Venn diagrams
• The classification of numbers (natural, whole, integers, rational, irrational,
real) using set
theory
Whole Numbers (5 days)
• Place value and expanded notation
• Rounding whole numbers
• Operations with whole numbers
• onents .html">Exponents as repeated multiplication and nth roots of perfect n th powers of
whole numbers
• Order of operations
• Averages and estimates of whole numbers
Review (1 day)
Exam 1 (1 day)
Introduction to Algebra (4 days)
• Simplify algebraic expressions
• Whole number exponents
• Evaluate algebraic expressions
• Translate words into algebraic expressions
Integers (5 days)
• The set of integers
• Absolute value
• Operations with integers
• Order of operations and averages using integers
• Solving Linear Equations
Fractions and Mixed Numbers (5 days)
• The set of rational numbers and fractions
• Operations with fractions and mixed numbers
• Order of operations and complex fractions
• Solving linear equations using the Multiplication Property of Equality
Review (1 day)
Exam 2 (1 day)
Algebraic Expressions (5 days)
• Review whole number exponents
• Operations with polynomials (add, subtract, and multiply)
• Find common monomial factors
• Simplify algebraic fractions
• Operations with algebraic fractions
• Evaluate algebraic fractions
Decimals (3 days)
• Place value
• Ordering decimals
• Operations with decimals
• Conversion between fractions and decimals
Linear Equations and Linear Inequalities (4 days)
• Solving linear equations using both the Addition and Multiplication Properties
of
Equality
• Solving linear equations containing fractions and decimals
• Solving linear inequalities in one variable
Problem Solving (4 days)
• Introduction to problem solving using equations or formulas
• Engaging in problem solving and strategies of problem solving
• Examples of problem solving using the coin and ticket problems
Review (1 day)
Exam 3 (1 day)
Ratio and Proportion (2 days)
• Ratios
• The Fundamental Property of Proportion
• Applications of proportions
Percents (4 days)
• Conversions: fractions, decimal, and percents
• Basic percent problems
• Percent application problems
• Percent increase and decrease
Geometry and Measurement (3 days)
• Linear, square, and cubic measure and applications
Graphs (2 days)
• Introduction to the Rectangular Coordinate Plane
• Graph linear equations
Review (1 day)
Exam 4 (1 day)
Final Exam Review (3 days)
Final Exam: Comprehensive Block Final
