In-Class Activity Sheets for OpenStax College Algebra

In-Class Activity Sheets for OpenStax College Algebra

Overview

Activity Sheets, tightly aligned with the OpenStax College Algebra text, and designed for use in class as part of an active lecture.  During the 2020-2021 pandemic, the activity sheets were used successfully in both group and individual settings in hybrid and fully online learning environments

This resource includes activities formatted both as accessible Word documents, for ease of use under the CC-BY 4.0 license, and in pdf form to preserve historically the intended appearance on the page.

These activity sheets align tightly with the OpenStax College Algebra textbook and an available MyOpenMath Course called the College Algebra Western MD Consortium (MOST), an inter-institutional effort comprised of mathematics faculty, instructional designers, and libriarians from Frostburg State University, Allegany College of Maryland, and Garrett College. 

Overview and Pedagogy

Pedagogy

Activity Sheets were designed for use in class as part of an active lecture. After a flipped introduction or brief in-class introduction, all or some of the sheet was completed in groups during class as the instructor and a Learning Assistant guided the students to develop their own solutions. The class came together afterward to reveal the correct solutions. Under the 2020-2021 pandemic, the activity sheets were used successfully in both group and individual settings in hybrid and fully online learning environments, with solutions being made available prior to testing. The sheets were graded for completion as a low-stakes participation score.
 

Coverage

These activity sheets align tightly with the OpenStax College Algebra textbook and the MyOpenMath Course, College Algebra Western MD Consortium (MOST), an inter-institutional effort comprised of mathematics faculty, instructional designers, and libriarians from Frostburg State University, Allegany College of Maryland, and Garrett College.

A Note about the Format

We have provided each sheet as an accessible Word document, which may then be altered, copied and pasted into your LMS, printed, or saved as pdf for students to download, per the conditions of the CC-BY 4.0 license. Importantly, the document format will enable you to edit the values or text of the activities. You may also simply use the format to create new activities of your own. 

Because of the sensitivity of math documents to formatting, and of formatting to various document viewers, we have also included a pdf of what each document should look like. 

The math text was written using the native Microsoft Word math editor, and may be directly edited.

Ongoing Work

There is not currently an activity included for every text section, although these are planned for future inclusion. If you are so inclined to extend the work, we would be pleased to know about it so that we may include it, with acknowledgement,  in this course bundle. 

Instructor Resource

Chapter 3 Functions

After reviewing prerequisite skills in Chapter 1 and refreshing or building important algebraic skills in Chapter 2, Chapter 3, Functions, lays the foundation for a specific kind of relation between two variables that qualifies the relationship as a function. 

Chapter 4 Linear Functions

The foundations for linear equation in one variable and for the equations of lines in the plane, linear equations in two variables, were established in Chapter 2. Chapter 4 extends the concept of the equation of a line to the functional relationship between an independent variable and dependent variable. Mathematical models built from linear functions are discussed as well as how to fit a linear model to a data set for analysis.

Chapter 5 Polynomial and Rational Functions

In Chapter 5, polynomial and rational functions are introduced as extentions of the parent functions previously given as "toolkit function" in Chapter 3 (section 3.1). Quadratic functions, power functions, polynomial functions, and their graphs are explored. Polynomial division (long and synthetic) is introduced as a tool for reducing the degree of a polynomial function and as a means to locating the slant asymptote of a rational function. Radical functions are introduced as the inverse of a polynomial function (potentially on a restricted domain). 

Chapter 6 Exponential and Logarithmic Functions

In Chapter 6, exponential and logarithmic functions are explored in formula and graphical representations. Logarithmic properties are discussed as well as techniques for solving exponential and logarithmic equations. Exponential and logarithmic models are built for several types of real world situations, and fitting exponential models to data sets for analysis is demonstrated.

Chapter 7: Systems of Equations and Inequalities

In Chapter 7, the algebraic techniques of solving systems by substitution and elimination via the addition method are discussed. Students are encouraged to view systems of linear (2x2 and 3x3) and non-linear equations formulaically, graphically, and in application.