Teaching Resources

Lumen Learning

Teaching Resources

This page provides aligned teaching materials for Quantitative Reasoning including detailed instructor guides and instructional presentation slides. Each resource is built around Lumen’s framework for Evidence-Based Teaching Practices, with the goal of supporting an active, engaged, and connected classroom — while also making your job easier.

Lumen provides files in either PDF or Google formats depending on its primary use case. PDFs will either pull up in your browser or download onto your computer. To edit Google files, you will need to make your own copy. If you are signed into your own Google Drive account, click the file link, then click the “File” dropdown menu, and click “Make a copy.” If you do not have a Google account, click the file link, then click the “File” dropdown menu, and select “Download” in your preferred file format.

Course Information

You may want to reference module titles, topic areas, or specific learning outcomes in your syllabus.

Sample Syllabus

This visual syllabus is designed to help you convey openness and connection from the start of class. It includes sample language to describe Lumen One.

Download a Sample Visual Syllabus – for digital use [GoogleDocs]
Download a Sample Visual Syllabus – for print [GoogleDocs]

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Instructor Guides

Instructor Guides are provided for each module to support active learning, conceptual investigation, and collaboration. Each guide includes an overview of the module content, a summary of what students encounter in key sections, and a list of learning outcomes. You’ll also find engaging classroom activities with accompanying materials such as handouts and worksheets. Activities come with a suggested instructional plan, alignment to evidence-based teaching practices, discussion prompts, and an online variation that can be integrated into your LMS for hybrid or asynchronous classes.

Module 1 Instructor Guide: General Problem Solving
Module 2 Instructor Guide: Set Theory and Logic
Module 3 Instructor Guide: Historical Counting Systems
Module 4 Instructor Guide: Whole Numbers and Integers
Module 5 Instructor Guide: Numbers and Their Applications
Module 6 Instructor Guide: Measurement
Module 7 Instructor Guide: Geometry
Module 8 Instructor Guide: Cryptography
Module 9 Instructor Guide: Fractals
Module 10 Instructor Guide: Data Organization
Module 11 Instructor Guide: Probability
Module 12 Instructor Guide: Statistics
Module 13 Instructor Guide: Personal Finance
Module 14 Instructor Guide: Personal Finance – Common Scenarios
Module 15 Instructor Guide: Math in Arts
Module 16 Instructor Guide: Rational and Irrational Numbers
Module 17 Instructor Guide: Functions
Module 18 Instructor Guide: Introduction to Modeling
Module 19 Instructor Guide: Modeling Complex Scenarios
Module 20 Instructor Guide: Advanced Data Interpretation
Module 21 Instructor Guide: Graph Theory
Module 22 Instructor Guide: Math in Politics
Module 23 Instructor Guide: Math in Arts – Common Scenarios
Module 24 Instructor Guide: Math in Business

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Presentation Slide Decks

Google Slides are available for each module to help you introduce and reinforce key concepts in class. Each deck of slides aligns with learning outcomes, providing concise explanations, visuals, video, and opportunities for active engagement. They’re designed to complement the Instructor Guides, offering a flexible framework you can adapt for lectures, discussions, or group activities.

Some slides contain notes or links to our Instructor Guides. If you share slide decks with your students but wish to leave out the notes or links, downloading a PDF version will result in a file that contains all the slides without the speaker notes.

Module 1 Slides: General Problem Solving
Module 2 Slides: Set Theory and Logic
Module 3 Slides: Historical Counting Systems
Module 4 Slides: Whole Numbers and Integers
Module 5 Slides: Numbers and Their Applications
Module 6 Slides: Measurement
Module 7 Slides: Geometry
Module 8 Slides: Cryptography
Module 9 Slides: Fractals
Module 10 Slides: Data Organization
Module 11 Slides: Probability
Module 12 Slides: Statistics
Module 13 Slides: Personal Finance
Module 14 Slides: Personal Finance – Common Scenarios
Module 15 Slides: Math in Arts
Module 16 Slides: Rational and Irrational Numbers
Module 17 Slides: Functions
Module 18 Slides: Introduction to Modeling
Module 19 Slides: Modeling Complex Scenarios
Module 20 Slides: Advanced Data Interpretation
Module 21 Slides: Graph Theory
Module 22 Slides: Math in Politics
Module 23 Slides: Math in Arts – Common Scenarios
Module 24 Slides: Math in Business

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Get Stronger Practice Problems

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Discussions and Writing Tasks

Module	Discussion	Writing Task
General Problem Solving	Evaluating Claims and Improving Quantitative Statements Discussion General Problem Solving Discussion
Set Theory and Logic	Logical Fallacies in Real-World Arguments Discussion	Set Theory Application Writing Task
Historical Counting Systems	Exploring Number Systems: Designing a Base for a Fictional Civilization
Whole Numbers and Integers	Exploring Integers Through Sea Level Discussion Data Analysis with Whole Numbers Discussion	Integer Operations Writing Task: Temperature Analysis
Numbers and Their Applications	Visualizing Quantities in Scientific Notation Discussion Percent Misconceptions Discussion	Algebraic Problem-Solving Writing Task
Measurement	Measurement Conversion Across Systems Discussion	Measurement Conversion Application Writing Task
Geometry	Geometry Discussion: Angle Relationships in the Real World	Geometry Writing Task: Event Space Design
Cryptography	Cryptography in Modern Applications Discussion	Encryption Methods Analysis Writing Task
Fractals	Chaos Theory in Natural and Mathematical Systems Discussion	Fractal Exploration and Complex Number Analysis Writing Task
Data Organization	Data Visualization Analysis Discussion	Statistical Analysis and Data Visualization Writing Task
Probability	Monty Hall Problem Discussion	Probability and Risk Assessment Writing Task
Statistics	Statistical Thinking Discussion	Statistical Thinking Writing Task
Personal Finance	Responsible Borrowing Discussion	Personal Budget Analysis Writing Task
Personal Finance – Common Scenarios	Retirement Planning Comparison Discussion	Car Ownership Analysis Writing Task
Math in Arts	Perspective and Symmetry in Visual Arts Discussion	Proportion and the Golden Ratio Writing Task
Rational and Irrational Numbers	Rational and Irrational Numbers in Decision Making Discussion	Number Classification and Operations Writing Task
Functions	Function Connections Discussion	Function Modeling Writing Task
Introduction to Modeling	Growth Patterns in the Real World Discussion	Growth Modeling and Prediction Writing Task
Modeling Complex Scenarios	Logarithmic Solutions and Logistic Growth in the Real World Discussion	Logarithmic and Logistic Growth Modeling Writing Task
Advanced Data Interpretation	Big Data Visualization and Challenges Discussion	Misleading Data Visualization Analysis Writing Task
Graph Theory	Graph Theory in Real-World Applications Discussion	Network Optimization Writing Task
Math in Politics	Polynomial Applications Discussion	Weighted Voting Analysis Writing Task Electoral College Trouble Assignment
Math in Arts – Common Scenarios	Mathematical Patterns in Music Discussion	Interdisciplinary Analysis: Math in Music and Literature Writing Task
Math in Business	Business Math Applications Discussion	Business Decision Analysis Writing Task

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Sample Exams

We are providing these exams as QTI files, a standard format that allows you to import questions, build, and customize quizzes in most learning management systems (Canvas, Blackboard, etc.). These files cannot be opened outside of an LMS.

Note: It is your responsibility to handle question banks and answer keys securely and appropriately to prevent them from being widely available and searchable via the internet.

Available Sample Exams

Questions cover specific material most important to the math department at Florida State College at Jacksonville, who authored these exams.

Exam 1

Exam 2

Exam 3

How to Import

You must download the question bank specific to your LMS, open the file on your computer, and follow LMS-specific instructions for importing each module.

Please use the import instructions in our Lumen One knowledge-base for Blackboard, Brightspace, Canvas, and Moodle.

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