Teaching Resources

This page provides aligned teaching materials for College Algebra, 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.

JUMP TO:  Course Information | Instructor Guides | Slide Decks | Guided Notes
Practice Problems + Keys | Discussions and Writing Tasks |

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.

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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 Algebra Essentials Instructor Guide

Module 2 Polynomial and Rational Expressions Instructor Guide

Module 3 Linear Equations and Inequalities Instructor Guide

Module 4 Non-Linear Equations Instructor Guide

Module 5 Function Basics Instructor Guide

Module 6 Algebraic Operations on Functions Instructor Guide

Module 7 Linear Functions Instructor Guide

Module 8 Quadratic Functions Instructor Guide

Module 9 Power and Polynomial Functions Instructor Guide

Module 10 Rational and Radical Functions Instructor Guide

Module 11 Exponential and Logarithmic Functions Instructor Guide

Module 12 Exponential and Logarithmic Equations and Models Instructor Guide

Module 13 Systems of Equations and Inequalities Instructor Guide

Module 14 System of Equations With Matrices Instructor Guide

Module 15 Conic Sections Instructor Guide

Module 16 Sequences and Series Instructor Guide

Module 17 Probability and Counting Principles Instructor Guide

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Presentation Slide Decks

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.

Algebra Essentials

Polynomial and Rational Expressions

Linear Equations and Inequalities

Non-Linear Equations

Function Basics

Algebraic Operations on Functions

Linear Functions

Quadratic Functions

Power and Polynomial Functions

Rational and Radical Functions

Exponential and Logarithmic Functions

Exponential and Logarithmic Equations and Models

Systems of Equations and Inequalities

System of Equations With Matrices

Conic Sections

Sequences and Series

Probability and Counting Principles

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Get Stronger Practice Problems

Algebra Essentials: Get Stronger + Answer Key

Polynomial and Rational Expressions: Get Stronger + Answer Key

Linear Equations and Inequalities: Get Stronger + Answer Key

Non-Linear Equations: Get Stronger + Answer Key

Function Basics: Get Stronger + Answer Key

Algebraic Operations on Functions: Get Stronger + Answer Key

Linear Functions: Get Stronger + Answer Key

Quadratic Functions: Get Stronger + Answer Key

Power and Polynomial Functions: Get Stronger + Answer Key

Rational and Radical Functions: Get Stronger + Answer Key

Exponential and Logarithmic Functions: Get Stronger + Answer Key

Exponential and Logarithmic Equations and Models: Get Stronger + Answer Key

Systems of Equations and Inequalities: Get Stronger + Answer Key

System of Equations With Matrices: Get Stronger + Answer Key

Conic Sections: Get Stronger + Answer Key

Sequences and Series: Get Stronger + Answer Key

Probability and Counting Principles: Get Stronger + Answer Key

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Discussions and Writing Tasks

Module Discussion Writing Task
Algebra Essentials Real Number Operations Discussion Scientific Notation and Radical Expressions Writing Task
Polynomial and Rational Expressions Polynomial Applications Discussion Polynomial Models Writing Task
Linear Equations and Inequalities Line Relationships in Real-World Applications Discussion Linear Modeling Writing Task: Urban Planning with Coordinate Geometry
Non-Linear Equations Equations in Action: Real-World Applications Discussion Quadratic Modeling Writing Task: Projectile Motion Analysis
Function Basics Analyzing Function Behavior Discussion Domain, Range, and Function Behavior Analysis Writing Task
Algebraic Operations on Functions Function Transformations in Real-World Applications Discussion Composite and Inverse Functions Writing Task
Linear Functions Mathematical Symmetry in Linear Functions Discussion Linear Modeling in Patient Monitoring and Medication Calculation Writing Task
Quadratic Functions Quadratic Functions in the Real World Discussion Complex Numbers in Circuit Analysis Writing Task
Power and Polynomial Functions End Behavior and Zeros of Polynomial Functions Discussion Polynomial Modeling Writing Task: Using Division and Factoring in Real-World Applications
Rational and Radical Functions Analyzing Asymptotic Behavior of Rational Functions Discussion Rational and Radical Functions Writing Task: Modeling Relationships in Physical Systems
Exponential and Logarithmic Functions Exponential and Logarithmic Applications Discussion Modeling with Exponential and Logarithmic Functions Writing Task
Exponential and Logarithmic Equations and Models Logarithmic and Exponential Models in Medicine Discussion Modeling Bacterial Growth and Decay Writing Task
Systems of Equations and Inequalities Systems of Equations in Consumer Economics Discussion Nonlinear Systems in Engineering Design Writing Task
System of Equations With Matrices Matrix Applications in Real-World Systems Discussion Matrix Methods for Production Planning Writing Task
Conic Sections Conic Sections in Design and Engineering Discussion Satellite Communication System Design Writing Task
Sequences and Series Sequences and Series in the Real World Discussion Financial Planning with Sequences and Series Writing Task
Probability and Counting Principles Probability in Medical Testing Discussion Binomial Probability and Counting Writing Task

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