Teaching Resources

This page includes aligned teaching resources for this course, including detailed instructor guides and presentation slides. 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:  | Instructor Guides | Presentation Slides | Practice Problems + Keys |Discussions and Writing Tasks |

Course Learning Outcomes

Detailed Learning Outcomes for College Algebra

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Instructor Guides

These detailed guides are aligned to each module in Lumen’s College Algebra 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.

Algebra Essentials Instructor Guide

Polynomial and Rational Expressions Instructor Guide

Linear Equations and Inequalities Instructor Guide

Non-Linear Equations Instructor Guide

Function Basics Instructor Guide

Algebraic Operations on Functions Instructor Guide

Linear Functions Instructor Guide

Quadratic Functions Instructor Guide

Power and Polynomial Functions Instructor Guide

Rational and Radical Functions Instructor Guide

Exponential and Logarithmic Functions Instructor Guide

Exponential and Logarithmic Equations and Models Instructor Guide

Systems of Equations and Inequalities Instructor Guide

System of Equations With Matrices Instructor Guide

Conic Sections Instructor Guide

Sequences and Series Instructor Guide

Probability and Counting Principles Instructor Guide

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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.

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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