Discipline: Mathematics
Originator: Robert Prior

Riverside Community College District
Integrated Course Outline of Record

Mathematics 125
MAT-125 : Corequisite Support for MAT-25
Lecture Hours: 36.000
Outside-of-Class Hours: 72.000
Units: 2.00
Grading Methods: Pass/No Pass
Course Description
Prerequisite: Appropriate Placement
Corequisite: MAT-25
Course Credit Recommendation: Non-Degree Credit

A concurrent corequisite course containing algebra concepts designed to support the students taking MAT-25 (Mathematics for Liberal Arts Students). Topics include a review of skills from an elementary and intermediate algebra course: Rounding integer values, translating phrases into mathematical expressions, solving problems using percent and decimals, evaluating expressions containing exponents, solving linear equations, applying the four basic operations to real numbers, graphing and writing linear equations using slope and y-intercept, and simplifying expressions using order of operations. Topics are taught strategically throughout the semester to provide “just in time" instruction of skills needed to master concepts in MAT 25 as they arise in that course. A diverse approach to problem solving processes and enhancement of study strategies will prepare the student for later university courses. 36 hours lecture. (Pass//No pass)
Short Description for Class Schedule
A concurrent corequisite course containing algebra concepts designed to support students in MAT-25.
Entrance Skills:
Before entering the course, students should be able to demonstrate the following skills:
  1. This corequisite skill will be completed using MAT 125: Associate mathematical models with real world situations from other disciplines.
    • MAT-25 - Associate mathematical models with real world situations from other disciplines.
Course Objectives:
Upon successful completion of the course, students should be able to demonstrate the following activities:
  1. Simplify expressions involving whole numbers, integers and rational numbers.
  2. Simplify expressions using the order of operations.
  3. Translate expressions and equations into algebraic symbols.
  4. Solve linear equations.
  5. Solve proportions.
  6. Solve percentage applications.
  7. Convert a fraction, decimal or percent into an equivalent form.
  8. Graph and write linear equations using the slope-intercept form.
  9. Apply theories of affective domain.
Student Learning Outcomes:
Upon successful completion of the course, students should be able to demonstrate the following skills:
  1. For a given set of exercises from algebra, the student will demonstrate proper problem-solving strategies, written techniques, and analysis of outcomes.
    • Communication Skills: Students will be able to communicate effectively in diverse situations. They will be able to create, express, and interpret meaning in oral, visual, and written forms. They will also be able to demonstrate quantitative literacy and the ability to use graphical, symbolic, and numerical methods to analyze, organize, and interpret data.
Course Content:
  1. Affective Domain:
    1. Productive Struggle
    2. Growth Mindset
    3. Grit/Perseverance
    4. Responsibility
    5. Motivation
    6. Confidence
  2. Critical Thinking/Quantitative Reasoning Skills
    1. Rounding integer and decimal values
    2. Translate phrases into mathematical expressions
    3. Evaluate expressions containing variables
    4. Solve problems involving percent, rates and statistics
  3. Preparation for Set Theory                
    1. Evaluate expressions containing exponents
    2. Determine which is the greater of two numbers
    3. Solve equations
  4. Preparation for Probability and Combinatorics
    1. Simplify, add, subtract, multiply and divide fractions
    2. Solve linear equations
    3. Convert fractions to percent
  5. Preparation for Statistics
    1. Find the absolute value of a number
    2. Plot points in the Cartesian coordinate system
    3. Determine the slope and y-intercept of the line represented
    4. Graph a linear equation using the slope and y-intercept
  6. Preparation for Finance or Consumer Mathematics
    1. Simplify expressions using order of operations
    2. Solve linear equations
    3. Convert from percent to decimal notation
  7. Any algebra skills or concepts related to the preparation for MAT-25 content

Methods of Instruction:
Methods of instruction used to achieve student learning outcomes may include, but are not limited to, the following activities:
  • Ice breakers, team building activities, writing assignments, and collaborative learning to increase understanding and application of theories of the affective domain, which may include but are not limited to: productive struggle, growth mindset, college fear factor, perseverance, confidence, and motivation;
  • Class lectures, discussions, presentations and demonstrations of algebraic terminology, the four basic operations as applied to real numbers and employing correct use of the symbols, terminology and vocabulary of algebra.
  • Derivations/solutions of linear word problems in order to demonstrate technique to the student and to provide a mathematical context for the material.
  • Drills and pattern practices utilizing hand-outs and/or computer-based tools in order to assist the students in mastering the techniques involved in converting a percent to a decimal, solving linear equations and graphing using slope-intercept form. 
  • Provision and employment of a variety of learning resources such as videos, computer-based tools, manipulatives, and worksheets in order to address multiple learning styles and to reinforce material.
  • Pair and small group activities, discussions, and exercises in order to promote mathematics discovery and enhance problem solving skills.
Methods of Evaluation:
Students will be evaluated for progress in and/or mastery of student learning outcomes using methods of evaluation which may include, but are not limited to, the following activities:
  • Individual and group assignments including problem sets, essays, reports, projects and calculator/computer assignments designated to demonstrate successful understanding and applications of basic concepts, terminology and definitions of algebra.
  • Low stakes quizzes designed to assess conceptual understanding as well as correct techniques and applications of the four basic mathematical operations as applied to fractions, decimals, and percent.
  • Assessment of classroom discovery activities for content knowledge and conceptual understanding.
Sample Assignments:
Outside-of-Class Reading Assignments

Outside-of-Class Reading Assignments 

  • Read and analyze textbook, detailed examples, and review class notes covering all topics pertaining solving problems involving percent and rates. 

Outside-of-Class Writing Assignments 

  • Use proper symbols, vocabulary and terminology pertaining to algebra while translating a phrase to a mathematical expression.

Other Outside-of-Class Assignments 

  • Problem sets that require students to find the slope and y-intercept of a line graphically or from an equation.
Outside-of-Class Writing Assignments
Other Outside-of-Class Assignments
Course Materials:
All materials used in this course will be periodically reviewed to ensure that they are appropriate for college level instruction. Possible texts include the following:
  • Angal/Abbot/Runde. A survey of Mathematics. 10th Pearson, 2016.
  • Johnson/Mowry. Mathematics, a Practical Odyssey. 8th Cengage, 2016.
  • Miller/Heeren/Hornsby. Mathematical Ideas. 13th Pearson, 2012.
  • Sobecki/Bluman/Schirck-Matthews. Math in Our World. 4th McGraw-Hill, 2018.
  • MyMathLab. Software. current. Pearson, Online Learning Management System directly associated with any Pearson textbook or as a stand-alone learning tool..
  • Alta. Software. current. Knewton, Online Learning Management System directly associated with any textbook or as a stand-alone learning tool..
  • Pattern blocks, algebra tiles, and other manipulatives to physically represent mathematical concepts.
  • TI-84 or other Graphics calculator
Board of Trustees Approval Date: 12/11/2018
COR Rev Date: 12/11/2018