Pre-algebra refresher for students who desire higher placement; students who've completed Math 4 but need review; or those who have attempted Math 95 and need pre-algebra review. Successful completion of this course may serve as a petition to challenge Math 4. Course does not replace a failing grade in Math 4.
18.000 Total Hours(Short Course: 3.000 per week
Total Hours(Short Course: per week
36.000 Total Hours
18.000-18.000 Total Hours
Prerequisite: None Prerequisite or Corequisite: None Concurrent Corequisite: None Course Advisories: None Limitation on Enrollment: None
Course Objectives:
Complete all operations involving signed numbers and fractions.
Complete operations on whole numbers and exponents.
Translate words into mathematical expressions.
Use all four operations with polynomials.
Solve linear equations.
Solve application problems involving the preceding areas.
Student Learning Outcomes
MATH074 SLO1 - Use arithmetic skills and estimation to add, subtract, multiply, and divide integers, fractions, decimals, and percents.
MATH074 SLO2 - Simplify numerical and polynomial expressions involving various operations and more than one set of grouping symbols.
MATH074 SLO3 - Evaluate simple algebraic expressions and formulas, including geometric formulas, given values.
MATH074 SLO4 - Use inverse operations to solve simple linear equations.
MATH074 SLO5 - Translate a basic phrase or word problem into an expression/equation and simplify/solve.
Whole Numbers
Place value
Properties and Facts of Addition
Addition and Subtraction with Whole Numbers; Perimeter
Rounding Numbers
Multiplication and Division; Areas and Volumes
The Distributive Property
Exponents and Order of Operations
Introduction to Algebra
Positive and Negative Numbers
Addition, Subtraction, and Negative Numbers
Multiplication, Division with Negative Numbers
Simplifying Algebraic Expressions
Multiplication Properties of Exponents
Addition, Subtraction and Multiplication of Polynomials
Fractions and Mixed Numbers
Meaning and Properties of Fractions
Prime Numbers, Factors, and Reducing to Lowest Terms
Multiplication and Division of Fractions; Area of a Triangle
Addition and Subtraction with Fractions
Mixed-Number Notation
Four Operations with Mixed Numbers (Optional)
Solving Equations
Distributive Property and Algebraic Expressions
The Addition and Multiplication Properties of Equality
Linear Equations in one Variable
Word Problems
Decimals
Decimal Notation, Place Value and Rounding
Addition, Subtraction, Multiplication and Division with Decimals
Circumference and Area of a Circle
Fractions and Decimals
Volume of a Sphere
Equations containing Decimals
Square Roots
The Pythagorean Theorem
Ratio, Proportion, and Unit Analysis
Ratios
Length, Area, Volume, Weight
Proportions
Percent
Percents, Decimals, and Fractions
Basic Percent Problems
General Applications of Percents
Sales Tax and Commission (Optional)
Percent Increase or Decrease, Discount (Optional)
Interest (Optional)
Methods of Instruction
Distance Education
The course will include use of email, ALEKS computer-based tutorials, interactive computer-based activities, and regular computer-based assessment tests.
Keisha goes running Monday, Wednesday, and Friday of each week. Each Monday she runs 5 miles, each Wednesday she runs 3 miles, and each Friday she runs 2 miles. How many total miles does she run in weeks?
Students will do the assigned components of ALEKS (which is equivalent to regular homework assignments) and take the assigned assessments at the appropriate level.
Students' grades will be based on their performance on the assigned components of ALEKS, the assigned assessments at the appropriate level and an in-class Math 4 final exam.
PrealgebraCharles P. McKeague, Wadsworth Publishing Co., 2014