This page provides aligned teaching materials for Precalculus, 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 |
Course Information
You may want to reference module titles, topic areas, or specific learning outcomes in your syllabus.
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: Introduction to Functions
Module 2 Instructor Guide: Working with Functions
Module 3 Instructor Guide: Linear Functions
Module 4 Instructor Guide: Polynomial Functions
Module 5 Instructor Guide: Polynomial Equations
Module 6 Instructor Guide: Rational Functions
Module 7 Instructor Guide: Exponential and Logarithmic Functions
Module 8 Instructor Guide: Exponential and Logarithmic Equations
Module 9 Instructor Guide: Systems of Equations and Inequalities
Module 10 Instructor Guide: Matrices and Matrix Operations
Module 11 Instructor Guide: Sequences
Module 12 Instructor Guide: Probability and Counting Theory
Module 13 Instructor Guide: Trigonometric Functions
Module 14 Instructor Guide: Periodic Functions
Module 15 Instructor Guide: Trigonometric Identities and Equations
Module 16 Instructor Guide: Triangle Trigonometry
Module 17 Instructor Guide: Polar Functions
Module 18 Instructor Guide: Parametric Functions and Vectors
Module 19 Instructor Guide: Conics
Presentation Slide Decks
Please note that these slide decks include math content in its original LaTeX code-based format rather than fully rendered equations. We want to be transparent that these slides are a temporary, partial option while we focus our efforts on creating a version that is the highest level of accessibility.
Rather than removing the slide decks entirely, we chose to include them now in case you’d find them useful as a starting point or reference. Our goal is to invest our time in producing a strong, accessible final product rather than dividing effort between interim and final versions. We’re confident the upcoming updates will be a meaningful improvement for all faculty and students!
Module 1 Slides: Introduction to Functions – fully ACCESSIBLE PowerPoint
Module 2 Slides: Working with Functions – fully ACCESSIBLE PowerPoint
Module 3 Slides: Linear Functions – fully ACCESSIBLE PowerPoint
Module 4 Slides: Polynomial Functions – fully ACCESSIBLE PowerPoint
Module 5 Slides: Polynomial Equations – fully ACCESSIBLE PowerPoint
Module 6 Slides: Rational Functions – fully ACCESSIBLE PowerPoint
Module 7 Slides: Exponential and Logarithmic Functions – fully ACCESSIBLE PowerPoint
Module 8 Slides: Exponential and Logarithmic Equations – fully ACCESSIBLE PowerPoint
Module 9 Slides: Systems of Equations and Inequalities
Module 10 Slides: Matrices and Matrix Operations
Module 11 Slides: Sequences – fully ACCESSIBLE PowerPoint
Module 12 Slides: Probability and Counting Theory – fully ACCESSIBLE PowerPoint
Module 13 Slides: Trigonometric Functions
Module 14 Slides: Periodic Functions
Module 15 Slides: Trigonometric Identities and Equations
Module 16 Slides: Triangle Trigonometry
Module 17 Slides: Polar Functions
Module 18 Slides: Parametric Functions and Vectors
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: Introduction to Functions
Module 2 Guided Notes: Working with Functions
Module 3 Guided Notes: Linear Functions
Module 4 Guided Notes: Polynomial Functions
Module 5 Guided Notes: Polynomial Equations
Module 6 Guided Notes: Rational Functions
Get Stronger Practice Problems
Introduction to Functions: Get Stronger
Working with Functions: Get Stronger
Linear Functions: Get Stronger
Polynomial Functions: Get Stronger
Polynomial Equations: Get Stronger
Rational Functions: Get Stronger
Exponential and Logarithmic Functions: Get Stronger
Exponential and Logarithmic Equations: Get Stronger
Systems of Equations and Inequalities: Get Stronger
Matrix and Matrix Operations: Get Stronger
Sequences: Get Stronger
Probability and Counting Theory: Get Stronger
Trigonometric Functions: Get Stronger
Periodic Functions: Get Stronger
Trigonometric Identities and Equations: Get Stronger
Triangle Trigonometry: Get Stronger
Polar Functions: Get Stronger
Parametric Functions and Vectors: Get Stronger
Conic Sections: Get Stronger
Introduction to Calculus: Get Stronger
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.
This epub is designed to assist you in preparation for your course(s) using Lumen OHM 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.