Next Steps:
Prealgebra
Lumen Learning’s Prealgebra course provides an interactive exploration of topics to help students lay a firm groundwork for success in subsequent math courses. Faculty can customize this OHM course content to meet the needs of their institutional learning outcomes. Designed with the needs of today’s students in mind, our embedded algorithmically generated practice questions and accessible videos provide an affordable resource for active learning.
OHM provides machine grading with immediate feedback to help students learn. This course offers a set of resources including editable e-text with embedded videos and interactives along with online assessments.
Lumen Learning applies learning science research to the design of affordable digital courseware to engage students and empower them in building a strong foundation in Mathematics. OHM has fully digital course materials focused on hands-on practice, customizable template courses, interactive full e-text with immediate feedback that stands alone or integrates seamlessly into Brightspace, Canvas, Blackboard, or Moodle.
Contributors: Lumen Learning vetted and improved a variety of sources including Prealgebra by OpenStax, and videos by James Sousa.
Content
Module 1: Whole Numbers
- Introduction to Whole Number Basics
- Introduction to Adding Whole Numbers
- Introduction to Subtracting Whole Numbers
- Introduction to Multiplying Whole Numbers
- Introduction to Dividing Whole Numbers
Module 2: The Language of Algebra
- Introduction to Using the Language of Algebra
- Introduction to Evaluating, Simplifying, and Translating Algebraic Expressions
- Introduction to Solving One-Step Equations Using Whole Numbers
- Introduction to Finding Multiples and Factors
- Introduction to Prime Factorization and the Least Common Multiple
Module 3: Integers
- Introduction to Identifying and Writing Integers
- Introduction to Adding Integers
- Introduction to Subtracting Integers
- Introduction to Multiplying and Dividing Integers
- Introduction to Solving One-Step Equations Using Integers
Module 4: Fractions
- Introduction to Representing Parts of a Whole as Fractions
- Introduction to Multiplying and Dividing Fractions
- Introduction to Multiplying and Dividing Mixed Numbers and Complex Fractions
- Introductions to Adding and Subtracting Fractions With Common Denominators
- Introduction to Adding and Subtracting Fractions with Different Denominators
- Introduction to Adding and Subtracting Mixed Numbers
- Introduction to Solving Equations That Contain Fractions
Module 5: Decimals
- Introduction to Writing and Identifying Characteristics of Decimals
- Introduction to Operations on Decimals
- Introduction to Exploring the Relationship Between Decimals and Fractions
- Introduction to Solving Equations with Decimals
Module 6: Applications With Decimals
- Introduction to Finding Averages and Basic Probabilities
- Introduction to Writing Ratios and Calculating Rates
- Introduction to Simplifying and Using Square Roots
Module 7: Percents
- Introduction to Writing Percents Using Words, Ratios, and Fractions
- Introduction to Solving General Applications of Percent
- Introduction to Solving Sales Tax, Commission, and Discount Applications
- Introduction to Solving Simple Interest Applications
- Introduction to Solving Proportions and their Applications
Module 8: Real Numbers
- Introduction to Classes of Real Numbers
- Introduction to Using the Commutative and Associative Properties
- Introduction to Using the Distributive Property
- Introduction to Properties of Identity, Inverses, and Zero
Module 9: Multi-Step Linear Equations
- Introduction to Solving Equations Using the Subtraction and Addition Properties of Equality
- Introduction to Solving Equations Using the Division and Multiplication Properties of Equality
- Introduction to Using a Problem Solving Strategy
- Introduction to Solving Word Problems That Have Decimals
- Introduction to Using Formulas to Solve Word Problems
Module 10: Polynomials
- Introduction to Adding and Subtracting Polynomials
- Introduction to Simplifying Expressions With Exponents
- Introduction to Multiplying Polynomials
- Introduction to Dividing Monomials
- Introduction to Simplifying Expressions With Negative Exponents
- Introduction to Factoring Polynomials
Module 11: Geometry
- Introduction to Using Properties of Angles, Triangles, and the Pythagorean Theorem
- Introduction to Using Properties of Rectangles, Triangles, and Trapezoids
- Introduction to Solving Problems With Circles and Irregular Figures
- Introduction to Solving Problems Using Volume and Surface Area
- Introduction to Systems of Measurement
Module 12: Graphs
- Introduction to Plotting Points on the Rectangular Coordinate System
- Introduction to Plotting Lines on the Rectangular Coordinate System
- Introduction to Identifying and Using Slope
Additional Course Features
These course materials include:
- Online Homework Manager (OHM): A flexible, user-friendly math homework system with customizable learning content, assessments, and activities you can tailor to fit your needs. Request an OHM instructor account.
- Outcome-aligned OER: Designed to replace expensive textbooks, this course curates open educational resources (OER) aligned with learning outcomes. Teach as-is or customize to fit your needs.
- LMS Integration: This course may be delivered with seamless LMS integration and automatic grade return for Canvas, Blackboard, Brightspace, and Moodle.
- Accessibility: Lumen is 100% committed to providing learning materials that are accessible to all learners. Lumen course materials are mobile-friendly.
What People Are Saying
“Since using OHM, I have time to help a larger number of students pass the course. It’s also easy for students to understand how to use.” – Jean Greear, Wytheville Community College
Teaching with Lumen Course Materials
- Replace expensive textbooks | Ready-to-adopt open educational resources (OER) include text, videos, simulations, self-checks, and other interactives.
- Choose affordability | Low cost to students.
- Use better content | Continuous, data-driven improvements make OER content more effective at supporting learning.
- Simplify access | Easy access to course materials in your LMS (Blackboard, Canvas, D2L, and Moodle) plus automatic grade return.
- Improve student outcomes | Research shows Lumen course materials can improve academic performance, passing rates, and course completion.
FOR INSTRUCTORS
- Connect with students | Instructor and student tools designed to help strengthen communication.
- Save time | Start with curated, outcome-aligned OER and supplemental instructor resources like quiz banks, assignments, slide decks, etc.
- Customize your course | Freedom to tailor course content to fit your learning outcomes and instructional approach.
- Enjoy awesome support | Faculty-friendly onboarding, training, and support.
FOR STUDENTS
- Learn by doing | Online homework, self-check activities, and other interactive tools strengthen learning.
- Engage from day one | Avoid falling behind with access to course materials from the first day of class.
- Retain materials | Download a digital copy of course content to keep forever.
- Become a better learner | Real-time feedback guides students on where to focus and how to improve.
Are you ready to get started with Lumen Learning digital courseware?
Great! Fill out our Explore a Course form, and our team will contact you promptly.