Teaching Resources

This page includes aligned teaching resources for Quantitative Reasoning, including detailed instructor guides and instructional PowerPoints. Each resource has been designed with Lumen’s framework for Evidence-Based Teaching Practices in mind with a goal to support an active, engaged and connected classroom.

JUMP TO: Visual Syllabus | Instructor Guides | Presentation Slides | Practice Problems + Keys | Discussions and Writing Tasks |Sample Exams|

Visual Syllabus

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

Download a Sample Visual Syllabus – for digital [Word]

Download a Sample Visual Syllabus – for print [Word]

Customizing the Syllabus

To customize the visual syllabus with your own photo or avatar, make a copy of the Google doc to edit for yourself. Click on the photo and then click “Edit” to open the editor. Click on the photo and then click “Replace image” on the menu bar. If you do not see the “Replace image” button, follow this video tutorial to replace the image. Ensure that your new image is centered within the editor. You will see horizontal and vertical lines appear to help you center the image.

To change the pie chart that displays your grading scheme, make a copy of this Google sheet, edit it to reflect your percentages and graded items, copy the new pie chart from the sheet, and replace it on the syllabus. Once you have pasted your new pie chart onto your syllabus, click on the pie chart and set the formatting option to “wrap text” and for the image to “Move with text” so that you can position it to your liking.

You can view the course topic list and a full list of the course learning outcomes below:

Topic List for Quantitative Reasoning

Quantitative Reasoning: Detailed Learning Outcomes

Instructor Guides

These detailed guides are aligned to each module in Lumen’s Quantitative Reasoning course and designed to help you facilitate active investigation and collaborative learning. Each guide includes a suggested instructional plan, evidence-based teaching practices, and necessary links and documents.

 

General Problem Solving
Set Theory and Logic
Historical Counting Systems
Whole Numbers and Integers
Numbers and Their Applications
Measurement
Geometry
Cryptography
Fractals
Data Organization
Probability
Statistics
Personal Finance
Personal Finance – Common Scenarios
Math in Arts
Rational and Irrational Numbers
Functions
Introduction to Modeling
Modeling Complex Scenarios
Advanced Data Interpretation
Graph Theory
Math in Politics
Math in Arts – Common Scenarios
Math in Business

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Presentation Slides

You can download a PPT or make a copy and customize these Google Slide decks to serve as a visual guide and companion to each suggested lesson. They include student-friendly learning outcomes, sample class affirmations, ideas for engagement and details for each activity.

General Problem Solving
Set Theory and Logic
Historical Counting Systems
Whole Numbers and Integers
Numbers and Their Applications
Measurement
Geometry
Cryptography
Fractals
Data Organization
Probability
Statistics
Personal Finance
Personal Finance – Common Scenarios
Math in Arts
Rational and Irrational Numbers
Functions
Introduction to Modeling
Modeling Complex Scenarios
Advanced Data Interpretation
Graph Theory
Math in Politics
Math in Arts – Common Scenarios
Math in Business
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Get Stronger Practice Problems

General Problem Solving: Get Stronger + Answer Key
Set Theory and Logic: Get Stronger + Answer Key
Historical Counting Systems: Get Stronger + Answer Key
Whole Numbers and Integers: Get Stronger + Answer Key
Numbers and Their Applications: Get Stronger + Answer Key
Measurement: Get Stronger + Answer Key
Geometry: Get Stronger + Answer Key
Cryptography: Get Stronger + Answer Key
Fractals: Get Stronger + Answer Key
Data Organization: Get Stronger + Answer Key
Probability: Get Stronger + Answer Key
Statistics: Get Stronger + Answer Key
Personal Finance: Get Stronger + Answer Key
Personal Finance – Common Scenarios: Get Stronger + Answer Key
Math in Arts: Get Stronger + Answer Key
Rational and Irrational Numbers: Get Stronger + Answer Key
Functions: Get Stronger + Answer Key
Introduction to Modeling: Get Stronger + Answer Key
Modeling Complex Scenarios: Get Stronger + Answer Key
Advanced Data Interpretation: Get Stronger + Answer Key
Graph Theory: Get Stronger + Answer Key
Math in Politics: Get Stronger + Answer Key
Math in Arts – Common Scenarios: Get Stronger + Answer Key
Math in Business: Get Stronger + Answer Key

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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.

 

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