Teaching Resources

Giselle Miller

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.

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.

*NEW* Instructor Guide Supplement

Messaging for students: value of practice, AI use, purpose of assessment

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.

Module 1 Slides: Algebra Essentials

Module 2 Slides: Polynomial and Rational Expressions

Module 3 Slides: Linear Equations and Inequalities

Module 4 Slides: Non-Linear Equations

Module 5 Slides: Function Basics

Module 6 Slides: Algebraic Operations on Functions

Module 7 Slides: Linear Functions

Module 8 Slides: Quadratic Functions

Module 9 Slides: Power and Polynomial Functions

Module 10 Slides: Rational and Radical Functions

Module 11 Slides: Exponential and Logarithmic Functions

Module 12 Slides: Exponential and Logarithmic Equations and Models

Module 13 Slides: Systems of Equations and Inequalities

Module 14 Slides: System of Equations With Matrices

Module 15 Slides: Conic Sections

Module 16 Slides: Sequences and Series

Module 17 Slides: Probability and Counting Principles

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Guided Notes – COMING SOON

As an instructor, you have the option of encouraging student use of these guided notes (they can access them through the course link “Students: Additional Lumen Resources”). These guides serve as a flexible, scaffolded tool to support student learning throughout the course, whether note-taking in class or working through the Study Plan. Though not comprehensive, they do provide a minimal outline for students to follow and may also be useful as a study guide for students.

Instructions for students: These notes are designed to help you follow along with the material if you find that helpful. You’re welcome to use these guided notes, modify them, or not use them at all – it’s entirely up to you. They won’t be collected or graded; they’re simply there as an extra tool if you want it.

Module 1 Guided Notes: Algebra Essentials

Module 2 Guided Notes: Polynomial and Rational Expressions

Module 3 Guided Notes: Linear Equations and Inequalities

Module 4 Guided Notes: Non-Linear Equations

Module 5 Guided Notes: Function Basics

Module 6 Guided Notes: Algebraic Operations on Functions

Module 7 Guided Notes: Linear Functions

Module 8 Guided Notes: Quadratic Functions

Module 9 Guided Notes: Power and Polynomial Functions

Module 10 Guided Notes: Rational and Radical Functions

Module 11 Guided Notes: Exponential and Logarithmic Functions

Module 12 Guided Notes: Exponential and Logarithmic Equations and Models

Module 13 Guided Notes: Systems of Equations and Inequalities

Module 14 Guided Notes: System of Equations With Matrices

Module 15 Guided Notes: Conic Sections

Module 16 Guided Notes: Sequences and Series

Module 17 Guided Notes: Probability and Counting Principles

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Get Stronger Practice Problems

Get Stronger Practice Problems are provided as static sets of exercises that offer students additional opportunities to master core concepts. These problems are designed to be flexible, allowing them to be assigned as traditional pen-and-paper homework or utilized as supplemental practice for students who need extra reinforcement. To maintain the integrity of these materials, the corresponding answer keys are located exclusively within the instructor resources in the OHM course.

Algebra Essentials: Get Stronger

Polynomial and Rational Expressions: Get Stronger

Linear Equations and Inequalities: Get Stronger

Non-Linear Equations: Get Stronger

Function Basics: Get Stronger

Algebraic Operations on Functions: Get Stronger

Linear Functions: Get Stronger

Quadratic Functions: Get Stronger

Power and Polynomial Functions: Get Stronger

Rational and Radical Functions: Get Stronger

Exponential and Logarithmic Functions: Get Stronger

Exponential and Logarithmic Equations and Models: Get Stronger

Systems of Equations and Inequalities: Get Stronger

System of Equations With Matrices: Get Stronger

Conic Sections: Get Stronger

Sequences and Series: Get Stronger

Probability and Counting Principles: Get Stronger

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Discussions, Writing Tasks and AI Activities

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

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Exam Banks

To help you build targeted assessments for any environment, we have curated a suite of Exam Banks that cover both paper-based and digital formats. These tools are designed to save you time while maintaining high standards for student evaluation. These resources include:

Paper Exam Question Bank: Provides one multi-part, critical thinking question for every section of the course. Each question is framed within an applied, real-world context, requiring students to move beyond rote calculation to build mathematical models and interpret results.
OHM Question Bank Spreadsheet: A curated reference of question IDs from OHM, organized by learning outcome. This tool allows instructors to quickly find and add specific questions to their own custom digital assessments.

These resources, along with the corresponding answer keys, are located in the Exam Banks folder within the Faculty Resources block of the OHM course to ensure the continued integrity of these assessments.

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Offline Content Access

NOTE: the epub contains the Learn It and Apply It content only. There are no interactives, videos, practice questions, or assessments included in these files and some images will not display in this format. You will need to download and open the epub within an e-reader, such as iBooks or ReadEra.

College Algebra EPUB

This epub is designed to assist you in preparation for your course(s) using Lumen One or as a resource for students requiring accessibility accommodations.If your students are interested in a printed version of the Learn It and Apply It content, we offer 3-hole punched copies which can be ordered through your bookstore or directly by students here.

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