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
Total class hours: 216.0
Total contact hours in class: 72.0
Lecture hours: 72.0
Hours outside of class: 144.0
Repeatable: No
Grading Method: Letter Grade or Pass/No Pass

Minimum Qualifications for Instructors

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



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


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

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

  3. 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.

  4. 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.

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

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

  7. Solve linear equations in one variable with rational-number coefficients. **Requires Critical Thinking**

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

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

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

  11. Solve applications that require one equation, including perimeter, area, applications of the Pythagorean theorem. **Requires Critical Thinking**

Student Learning Outcomes

  1. Perform arithmetic operations on signed real numbers.
  2. Convert between fractions, decimals and percents.
  3. Identify applications of the field axioms.
  4. Solve linear equations in one variable.
  5. Solve applied problems involving percents and proportions.
  6. Add, subtract, multiply and simplify polynomials.

Methods of Instruction


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

Course Materials

  1. McKeague, Charles P. and Pawlik, Kate Duffy. Prealgebra, XYZ Textbooks, 2014, ISBN: 13: 978-1-936368-84-
    Equivalent text is acceptable