Course Outline for Mathematics 204B
Prealgebra with Integers

Effective: Fall 2019
SLO Rev: 10/26/2018
Catalog Description:

MTH 204B - Prealgebra with Integers

18.00 Hours

May be repeated 99 time(s)
This noncredit course is part of a noncredit certificate of competency in Prealgebra. This course is free and students may repeat this course until mastery of the skills is met. This is a great class for students who are transitioning to college, who are unsure of their abilities, or who have been out of school for while and want some more mathematics preparation before transitioning to college-level math. This course covers an introduction to algebraic concepts, including arithmetic on signed numbers, algebraic expressions, and linear equations.
1701.00 - Mathematics, General
Pass/No Pass/Satisfactory Progress
Type Hours
Lecture 18.00
Total 18.00
Measurable Objectives:
Upon completion of this course, the student should be able to:
  1. perform computations on integers without a calculator;
  2. model arithmetic operations on integers;
  3. apply the commutative, associative, and distributive laws to evaluate expressions;
  4. apply the order of operations in evaluating algebraic expressions;
  5. interpret operations and variables in algebraic expressions;
  6. solve linear equations with integer coefficients and integer solutions.
Course Content:
  1. Integers
    1. Definition
    2. Modeling Integers
  2. Computations with Integers
    1. Addition
    2. Subtraction
    3. Multiplication
    4. Division
    5. Natural number exponents
    6. Order of operations
    7. Modeling arithmetic operations on integers
  3. Laws
    1. Associative
    2. Distributive
    3. Commutative
  4. Expressions
    1. Variables
    2. Translating from words to algebraic expressions
    3. Combining like terms
    4. Removing parentheses
    5. Evaluating
  5. Equations
    1. Solving linear equations with integer coefficients and integer solutions
    2. Translating from words to a linear equation

Methods of Instruction:
  1. Class and group discussions
  2. Lecture/Discussion
  3. Group Activities
  4. Hands-on Activities
  5. Distance Education
Assignments and Methods of Evaluating Student Progress:
  1. Evaluate: -2+5(1+(-3)(4))^2
  2. A rectangular lawn has an area of 16 square meters. If the length is 10 meters longer than the width, determine the dimensions of the lawn.
  1. Class Work
  2. Pre and post testing
  3. Class Participation
  4. Assigned activities
Upon the completion of this course, the student should be able to:
  1. Critically analyze mathematical problems using a logical methodology.
  2. Communicate mathematical ideas, understand definitions, and interpret concepts.
  3. Increase confidence in understanding mathematical concepts, communicating ideas and thinking analytically.
Textbooks (Typical):
  1. Maracek, L., Anthony-Smith, M. (2015). Prealgebra OpenStax.
Abbreviated Class Schedule Description:
This noncredit course is part of a noncredit certificate of competency in Prealgebra. This course is free and students may repeat this course until mastery of the skills is met. This is a great class for students who are transitioning to college, who are unsure of their abilities, or who have been out of school for while and want some more mathematics preparation before transitioning to college-level math. This course covers an introduction to algebraic concepts, including arithmetic on signed numbers, algebraic expressions, and linear equations.
Discipline:
Mathematics-Basic Skills: Noncredit, Mathematics*, or