*Quantitative Reasoning

Appropriate for courses in Quantitative Reasoning, Math for Liberal Arts, and Quantitative Literacy.

Lumen’s new Quantitative Reasoning course will be delivered in Lumen One, a new platform that brings together the best of Lumen’s teaching & learning solutions including a full suite of professional development resources to support evidence-based teaching.

This easy-to-implement course offers faculty a wide range of topics to accommodate a variety of course structures, including corequisite. With a strong focus on active learning; problem-solving and decision-making opportunities are placed front and center to engage students and foster dynamic discussions. Real-world applications enable students to apply concepts and tie them back to their lives and careers. Concepts are presented to students in smaller, easy-to-comprehend chunks for complete mastery.

Highlights of this course:

  • Comprehensive: 20 modules covering a wide range of topics to accommodate a variety of course structures and focuses.
  • Actionable Insights: Learning outcome-aligned assessments guide students and faculty in identifying areas of challenge.
  • Relatable Voice: Complex Math topics are broken down into bite-sized chunks with everyday language to give students better comprehension.
  • Real-World Applications: Relevant and engaging content with real-world applications relating math to career topics such as business, nursing, finance, and visual and literary arts.
  • Equity-Centered: Paired with a powerfully designed courseware platform that puts equity at the center of its design to ensure success for all students.

Designed to Support Equity

Combining the best features across Lumen, Lumen One is the first courseware product built with a focus on equity. With support from the Bill & Melinda Gates Foundation Lumen One was developed to promote equitable outcomes in gateway courses. Lumen One’s unique features are specifically designed to boost participation, engagement, and overall learning to ensure success for all students.

Highlights of Lumen One:

  • Tools to create and foster connection between faculty and students
  • A Faculty Engagement center that provides faculty with easy-to-access actionable data to enable timely interventions when students need it the most
  • Varied, relevant content designed to engage students
  • Personalized study plans with immediate feedback to reinforce strong study skills
  • Easy-to-use automated messaging tools to better support students
  • Supported peer community to provide students with meaningful help from subject matter experts and peers
  • Embedded resources to support faculty to use effective teaching practices and easily do their best work



*Topic List by Module – subject to minor changes prior to course release.


General Problem Solving  

  • General Problem Solving Skills

Set Theory and Logic

  • Set Theory Basics
  • Logic Basics
  • Analyzing Arguments With Logic

Historical Counting Systems

  • Early Counting Systems
  • Positional Systems and Bases

Whole Numbers and Integers

  • Whole Numbers
  • Integers

Rational and Irrational Numbers (coming Dec. 2023)

  • Classify and Convert Rational Numbers
  • Calculations Involving Rational Numbers
  • Irrational Numbers
  • Real Numbers

Numbers and Their Applications

  • Decimals
  • Percentages
  • Scientific Notation and Exponents
  • Algebraic Equations


  • US Units of Measurement
  • Systems and Scales of Measurement
  • Dimensional Analysis


  • Introduction to Geometry
  • Triangles
  • Area and Circumference
  • Volume and Surface Area

Functions (coming Dec. 2023)

  • Function Basics
  • More on Linear Functions
  • Quadratic Functions
  • Polynomial Functions
  • Composition and Rational Functions


  • Fractal Basics
  • Fractals Generated by Complex Numbers


Graph Theory (coming Dec. 2023)

  • Graph Theory Basics
  • Euler and Hamiltonian Paths and Circuits

Data Organization

  • Representing Data Graphically
  • Numerical Summaries of Data


  • Computing the Probability of an Event
  • Applications With Probability


  • Data Collection Basics
  • Sampling and Experimentation
  • Errors in a Study
  • Describing Quantitative Data

Modeling (coming Dec. 2023)

  • Linear and Geometric Growth
  • Logarithms and Logistic Growth
  • Limits of Modeling
  • Functional Models
  • Models of Bivariate Data Sets

Complex Graphical Analysis and the Limits of Modeling (coming Dec. 2023)

  • Complex Graphical Analysis
  • Improve Graphical Displays
  • Limits of Modeling

Personal Finance

  • Savings, Expenses, Budgets
  • Income Tax and Paycheck Deductions
  • Simple and Compound Interest
  • Annuities and Loans
  • Credit Cards
  • Homeownership
  • Cars

Math in Politics (coming Dec. 2023)

  • Voting Theory
  • Apportionment
  • Weighted Voting

Math in Arts

  • Perspective and Symmetry
  • Proportion and the Golden Ratio
  • Pitch and Frequency (coming Dec. 2023)
  • Math in Art Management (coming Dec. 2023)

Math in Business (coming Dec. 2023)

  • Math in Business Administration
  • Math in Marketing
  • Math in Human Resources
  • Math in Accounting
  • Math in Freelancing

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