Yuba Community College District
Yuba College Course Outline
Course Information
Course Number:
MATH 111
Full Course Title:
Prealgebra
Short Title:
Prealgebra
TOP Code:
1701.00  Mathematics, General
Effective Term:
Fall 2016
Course Standards
Course Type:
Credit  Not Degree Applicable
Units: 4.0
Lecture hours: 72.0
Repeatable:
No
Grading Method:
Letter Grade or Pass/No Pass
Minimum Qualifications for Instructors
 Mathematics (Masters Required)
Course Description
Prepares students to take Elementary Algebra. Topics include: real numbers; algebraic expressions; linear equations; basic facts from geometry, including perimeter, area, and the Pythagorean theorem; ratio, proportion, and percent; conversion of units of measure; application problems.Conditions of Enrollment
Advisories

Language  recommended eligibility for English 1A
Content
Course Lecture Content
 Introduction to Number Types
 Introduction to the integers
 Rational numbers
 Irrational numbers
 Real numbers
 Representation of each as fractions, mixed numbers, or decimal numbers.
 Basic Operations
 Addition
 Subtraction
 Multiplication
 Division
 Powers (nonnegative integer exponents), and square roots of real numbers
 Order of operations
 Axioms
 Addition
 Multiplication
 Distributive law
 Algebraic expressions:
 Addition and subtraction
 Multiplication by a monomial
 Evaluating an expression
 Linear equations in one variable with rationalnumber coefficients.
 Basic Geometry
 Points and lines
 Plane figures
 Angles
 Perimeter and area of plane figures
 Pythagorean theorem
 Ratio and proportion, and percent
 Conversion of units of measure
 Applications requiring a single equation
 formulaic
 perimeter
 area
 Pythagorean theorem
Objectives

Carry out all arithmetic and algebraic operations without the use of a calculator.

Identify a number as an integer, rational number, irrational number, or real number.

Represent a real number as a fraction, mixed number, or decimal number; simplify rational numbers (using prime factorization); bound a square root by consecutive integers.

Perform the basic operations of addition, subtraction, multiplication, and division, powers (nonnegative integer exponents), and square roots of real numbers using the order of operations.

Recognize the correct axiom for addition and multiplication, and the distributive law.

Manipulate algebraic expressions: add, subtract, and multiply (by a monomial); evaluate.

Solve linear equations in one variable with rationalnumber coefficients.
**Requires Critical Thinking**

Find the perimeter or area of plane figures (combination of polygons and portions of circles); use the Pythagorean theorem.
**Requires Critical Thinking**

Solve proportion and percent problems.
**Requires Critical Thinking**

Convert units of measure.
**Requires Critical Thinking**

Solve applications that require one equation, including perimeter, area, applications of the Pythagorean theorem.
**Requires Critical Thinking**
Student Learning Outcomes
 Perform arithmetic operations on signed real numbers.
 Convert between fractions, decimals and percents.
 Identify applications of the field axioms.
 Solve linear equations in one variable.
 Solve applied problems involving percents and proportions.
 Add, subtract, multiply and simplify polynomials.
Methods of Instruction

Lecture/Discussion
Assignments
Reading Assignments
Writing Assignments
Other Assignments
Students will complete a selection of calculation and application problems from each section of the text book.
Methods of Evaluation
 Exams
 Homework
 Oral Tests/Class Performance
 Quizzes
 Research Project
 Skills Demonstrations/Performance Exam
Course Materials
Textbooks:

McKeague, Charles P. and Pawlik, Kate Duffy. Prealgebra, XYZ Textbooks, 2014, ISBN: 13: 978193636884Equivalent text is acceptable