About ORCCA

Open Resources for Community College Algebra (ORCCA) is an open-source, openly-licensed textbook package (eBook, print, and online homework) for basic and intermediate algebra. At Portland Community College, Part 1 is used in MTH 60, Part 2 is used in MTH 65, and Part 3 is used in MTH 95.

ORCCA is available as an interactive HTML eBook, a downloadable PDF, and a printed and bound physical book.

Accessing ORCCA


FreePaperback from Amazon
2nd Edition

eBook: spot.pcc.edu/math/orcca/ed2/html/

Black and White PDF:

  1. Part I (Chapters 1–4 and Appendix A)
  2. Part II (Chapters 5–9)
  3. Part III (Chapters 10–13)
  4. The whole thing (964 pages)

Screen PDF: orcca-screenpdf.pdf

Part I (Chapters 1–4 and Appendix A)
ISBN-13:
978-1088601761

Part II (Chapters 5–9)
ISBN-13:
978-1089202110

Part III (Chapters 10–13)
ISBN-13:
978-1687246615

The above links are part of the Amazon Associates program. If you follow one of those links and then make a qualifying purchase, Amazon pays an advertising fee to the PCC Foundation. The price of the purchase is not affected. However, if you would like to opt out of whatever tracking is part of this process, you may search for the books on Amazon using the ISBNs. Be careful to purchase the correct edition. Using the ISBNs should ensure this.

Source Files

github.com/PCCMathSAC/orcca

WeBWorK files for all editions: ORCCA-WeBWorK-sets.tgz (see below)


1st Edition

eBook: spot.pcc.edu/math/orcca/ed1/html/

Black and White PDF: ORCCA-Edition1-BW.pdf

Color PDF: ORCCA-Edition1-color.pdf

"Unpublished" from Amazon, but it is still possible to find used copies.

Part I: ISBN-13: 978-1724270450

Part II: ISBN-13: 978-1724271570

Part III: ISBN-13: 978-1724271730

Gamma Pilot EditioneBook: spot.pcc.edu/math/orcca/gamma/html/

"Unpublished" from Amazon, but it is still possible to find used copies.

Part I: ISBN-13: 978-1986282598

Part II: ISBN-13: 978-1986282796

Part III: ISBN-13: 978-1986282895

Beta Pilot Edition

"Unpublished" from Amazon, but it is still possible to find used copies.

Part I: ISBN-13: 978-1981788170

Part II: ISBN-13: 978-1981806058

Alpha Pilot Edition

"Unpublished" from Amazon, but it is still possible to find used copies.

Part I: ISBN-13: 978-1976594861

Note: copies of this book say edition beta, but they are really our edition alpha from before we had thought more about versioning. Also this book's cover is the color we since use only for Part II.

Sample Schedules

The most common schedule at PCC for face-to-face operation of these classes is ten weeks of class plus a final exam week. Fall term has an additional week of class. In summer, these courses are often (but not always) taught with 8 weeks of class and no finals week. Most classes run two days each week, but some run three. In every term, there are holidays, inservice days, and closures to contend with. So these sample calendars are not a perfect fit.


 MTH 60
WeekDay 1Day 2
1Section 1.1
Variables and Evaluating Expressions
Sections 1.2, 1.3
Combining Like Terms
Comparison Symbols and Notation for Intervals
2Sections 1.4, 1.5
Equations as True/False Statements
Solving One-Step Equations
Sections 1.5 (cont), 1.6
Solving One-Step Equations
Solving One-Step Inequalities
3Section 1.7
Algebraic Properties and Simplifying Expressions
Section 1.8
Modeling with Equations and Inequalities
4Sections 2.1, 2.2

Solving Multistep Equations
Solving Multistep Inequalities

Section 2.2 (cont), Review for Exam 1
Solving Multistep Inequalities
Review for Exam 1
5Exam 1
Section 2.3
Linear Equations and Inequalities with Fractions
Sections 2.4, 2.5
Special Solution Sets
Isolating a Linear Variable
6Sections 3.1, 3.2
Cartesian Coordinates
Graphing Equations
Sections 3.3, 3.4
Exploring Two-Variable Data and Rate of Change
Slope
7Sections 3.4 (cont) 3.5
Slope
Slope-Intercept Form
Section 3.6
Point-Slope Form
8Sections 3.7, 3.8
Standard Form
Horizontal, Vertical, Parallel, and Perpendicular Lines
Section 3.9, Review for Exam 2
Summary of Graphing Lines
Review for Exam 2
9Exam 2
Section 4.1
Solving Systems of Linear Equations by Graphing
Section 4.2
Substitution
10Section 4.3
Elimination
Review for Final Exam
11Finals Week
 MTH 65
WeekDay 1Day 2
1Section 5.1
Adding and Subtracting Polynomials
Sections 5.2, 5.3
Introduction to Exponent Rules
Dividing by a Monomial
2Sections 5.4, 5.5
Multiplying Polynomials
Special Cases of Multiplying Polynomials

Sections 5.5 (cont), 5.6
Special Cases of Multiplying Polynomials
More Exponent Rules

3Sections 6.1, 6.2
Square and nth Root Properties
Rationalizing the Denominator
Sections 6.3, 6.4
Radical Expressions and Rational Exponents
Solving Radical Equations
4

Section 6.4 (cont), Review for Exam 1
Solving Radical Equations
Review for Exam 1

Exam 1
Review Solving Linear Equations (Selected Topics from Chapter 2)
5Sections 7.1, 7.2
Solving Quadratic Equations by Using a Square Root
The Quadratic Formula
Sections 7.2 (cont), 7.3
The Quadratic Formula
Complex Solutions to Quadratic Equations
6Section 7.4
Solving Equations in General
Section 8.1
Scientific Notation
7Sections 8.2, 8.3
Unit Conversion
Geometry Formulas
Section 8.3 (cont), 8.4
Geometry Formulas
Geometry Applications
8Section 9.1, Review for Exam 2
Review of Graphing
Review for Exam 2
Exam 2
Section 9.1 (cont)
Review of Graphing
9Section 9.2
Key Features of Quadratic Graphs
Section 9.3
Graphing Quadratic Expressions
10Section 9.4
Graphically Solving Equations and Inequalities
Review for Final Exam
11Finals Week
 MTH 95
WeekDay 1Day 2
1Sections 10.1, 10.2
Factoring Out the Common Factor
Factoring by Grouping
Sections 10.3, 10.4
Factoring Trinomials With Leading Coefficient One
Factoring Trinomials With a Nontrivial Leading Coefficient
2Section 10.5, 10.6
Factoring Special Polynomials
Factoring Strategies

Section 10.7
Solving Quadratic Equations by Factoring

3Section 11.1
Function Basics
Section 11.2
Domain and Range
4

Section 11.3, Review for Exam 1
Using Technology to Explore Functions
Review for Exam 1

Exam 1
Section 11.4
Simplifying Expressions With Function Notation
5Section 11.5
Technical Definition of a Function
Sections 12.1, 12.2
Introduction to Rational Functions
Multiplication and Division of Rational Expressions
6Section 12.3
Addition and Subtraction of Rational Expressions

Section 12.4
Complex Fractions
7Section 12.5
Solving Rational Equations
Section 12.5 (cont), Review for Exam 2
Solving Rational Equations
8Exam 2
Section 13.1
Overview of Graphing
Section 13.2, 13.3
Quadratic Graphs and Vertex Form
Completing the Square
9Sections 13.4, 13.5
Absolute Value Equations
Solving Mixed Equations
Sections 13.5 (cont), 13.6
Solving Mixed Equations
Compound Inequalities
10Section 13.7
Solving Inequalities Graphically
Review for Final Exam
11Finals Week

Selected Exercise Sets

A few members of the committee overseeing these courses (MTH 60, 65, 95 at PCC) came together and selected exercise sets that an instructor might adopt and feel comfortable that they provide adequate coverage. And of course, customize as wanted.

Most exercises are available as WeBWorK exercises, but not all, as indicated below. It is important to know this, because if you rely on WeBWorK for homework, you would want to separately assign these exercises as "pencil and paper" exercises. The non-WeBWorK exercises are typically exercises where something needs to be graphed or explained, and automated grading by WeBWorK is not appropriate.

If you use WeBWorK, you may elect to load these "selected" exercise sets or load exercise sets with all WeBWorK exercises from each section. In either case, you may of course customize by adding, removing, or editing exercises.


 Part I
SectionExercisesCountnon-WW
1.11, 3, 9, 11, 13, 15, 17, 21, 25, 37, 41, 45, 47, 49, 53, 57, 6517
1.21, 3, 5, 7, 9, 11, 15, 21, 25, 2910
1.31, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 53, 59, 6516
1.411, 21, 25, 29, 31, 33, 37, 41, 43, 4910
1.53, 7, 11, 13, 19, 25, 31, 37, 43, 45, 47, 49, 53, 57, 63, 73, 77, 8518
1.615, 17, 25, 27, 29, 35, 39, 458
1.79, 11, 13, 17, 19, 31, 33, 35, 39, 43, 47, 53, 61, 6714
1.81, 3, 5, 7, 9, 13, 15, 19, 23, 25, 31, 39, 47, 55, 63, 7116
2.19, 15, 17, 21, 25, 27, 29, 35, 41, 43, 45, 51, 63, 67, 71, 73, 75, 77, 87, 101, 119, 121, 123, 127, 12925
2.23, 11, 13, 21, 29, 35, 41, 43, 45, 4910
2.37, 11, 27, 35, 37, 43, 49, 53, 57, 75, 77, 79, 81, 93, 103, 111, 11517
2.49, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 3916
2.59, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 5312
3.11, 3, 7, 13, 15, 17, 1973, 7
3.21, 5, 9, 13, 17, 21, 25, 27, 29, 31, 33, 35, 37, 39, 411527, 29, 31, 33, 35, 37, 39, 41
3.31, 3, 5, 7, 13, 15, 17, 21, 23, 2510
3.411, 17, 23, 29, 33, 35, 37, 41, 43, 45, 47, 49, 51, 5314
3.53, 7, 9, 19, 21, 23, 25, 27, 37, 39, 43, 45, 47, 49, 53, 57, 65, 67, 69, 712037, 39, 43, 45, 47
3.65, 9, 13, 17, 21, 25, 29, 31, 33, 35, 39, 45, 47, 51, 55, 61, 63, 651851, 55
3.77, 11, 15, 21, 23, 25, 29, 31, 35, 39, 43, 45, 471329, 31, 35, 39
3.81, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 27, 29, 31, 35, 39, 43, 47, 491927, 29
3.91, 3, 5, 11, 13, 15, 17, 19, 23, 25, 27, 29121, 3, 5, 11, 13, 15, 17, 19, 23, 25, 27, 29
4.113, 15, 17, 23, 25, 27, 29, 31, 33, 43, 45, 47, 491323, 25, 27, 29, 31, 33
4.211, 17, 23, 29, 35, 41, 47, 53, 59, 61, 65, 69, 7313
4.37, 9, 11, 15, 19, 25, 29, 31, 35, 39, 41, 43, 45, 47, 4915
 Part II
SectionExercisesCountnon-WW
5.15, 7, 25, 27, 31, 35, 41, 57, 65, 67, 69, 71, 73, 77, 83, 87, 9117
5.29, 11, 13, 15, 19, 21, 23, 25, 27, 31, 33, 35, 37, 39, 41, 45, 47, 51, 55, 57, 61, 6522
5.31, 3, 5, 19, 21, 23, 25, 29, 33, 35, 3711
5.417, 23, 33, 35, 39, 43, 45, 51, 59, 61, 67, 69, 71, 73, 77, 79, 8517
5.513, 17, 21, 25, 29, 31, 35, 39, 43, 47, 51, 6912
5.61, 7, 9, 11, 13, 15, 17, 19, 21, 23, 29, 33, 37, 39, 43, 45, 47, 49, 55, 67, 71, 75, 79, 95, 99, 105, 115, 11728
6.13, 5, 15, 17, 21, 25, 27, 31, 33, 37, 41, 45, 47, 49, 53, 57, 65, 67, 71, 75, 79, 81, 83, 87, 93, 97, 9927
6.29, 11, 13, 21, 23, 25, 27, 39, 41, 43, 4511
6.315, 19, 21, 23, 27, 31, 37, 39, 41, 43, 45, 49, 51, 57, 61, 63, 67, 7318
6.413, 15, 17, 19, 21, 29, 33, 35, 37, 39, 4311
7.11, 5, 9, 21, 23, 25, 29, 31, 33, 35, 37, 39, 43, 4514
7.211, 15, 17, 19, 23, 25, 31, 33, 35, 39, 43, 45, 49, 53, 57, 61, 63, 65, 67, 6920
7.31, 3, 5, 7, 9, 11, 13, 15, 17, 1910
7.41, 3, 7, 9, 13, 15, 19, 21, 25, 27, 31, 33, 37, 39, 43, 45, 49, 51, 55, 57, 61, 63, 67, 6924
8.11, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 29, 33, 35, 37, 4118
8.27, 11, 15, 21, 25, 29, 35, 43, 45, 49, 5111
8.31, 3, 7, 9, 11, 13, 15, 19, 27, 31, 37, 39, 43, 47, 49, 5116
8.41, 3, 9, 11, 15, 17, 197
9.11, 3, 5, 7, 9, 11, 13, 15, 17, 19, 23113, 13, 15, 17, 19
9.29, 13, 17, 21, 25, 29, 31, 33, 35, 37, 41, 45, 49, 53, 571529, 31, 33, 37, 39, 41
9.313, 15, 17, 19, 23, 25, 33, 35, 37, 39, 41, 43, 47, 53, 55, 57, 61, 631833, 35, 37, 39, 41, 43, 47
9.41, 3, 5, 7, 9, 11, 13, 15, 17, 1910
 Part III
SectionExercisesCountnon-WW
10.19, 11, 13, 17, 21, 25, 29, 31, 35, 39, 43, 4512
10.27, 9, 11, 13, 17, 19, 21, 23, 27, 29, 33, 3512
10.311, 13, 15, 17, 19, 21, 27, 35, 37, 41, 43, 47, 49, 53, 55, 59, 61, 6318
10.49, 11, 13, 15, 19, 21, 25, 29, 31, 33, 37, 41, 43, 47, 49, 71, 7317
10.513, 15, 17, 19, 21, 23, 27, 31, 35, 37, 39, 45, 49, 55, 57, 61, 63, 67, 69, 71, 73, 79, 8123
10.65, 11, 17, 19, 23, 25, 29, 31, 35, 37, 41, 43, 45, 47, 49, 53, 57, 59, 63, 65, 67, 69, 7123
10.711, 13, 15, 17, 19, 21, 25, 27, 29, 33, 35, 39, 41, 45, 47, 51, 53, 67, 69, 7120
11.111, 17, 19, 21, 27, 31, 33, 37, 39, 41, 43, 45, 47, 49, 51, 59, 61, 63, 65, 67, 69, 75, 81, 89, 93, 9726
11.29, 11, 13, 15, 17, 21, 23, 29, 35, 37, 43, 47, 49, 53, 57, 59, 61, 69, 71, 75, 77, 8122
11.33, 7, 9, 15, 19, 21, 25, 27, 29, 31, 33, 41, 45, 4714
11.49, 11, 17, 21, 23, 25, 29, 31, 33, 35, 37, 39, 41, 4314
11.51, 5, 7, 9, 11, 13, 157
12.11, 3, 5, 7, 9, 11, 13, 15, 17, 21, 23, 25, 29, 31, 33, 3516
12.221, 23, 27, 29, 31, 33, 35, 37, 39, 41, 45, 49, 63, 65, 71, 75, 77, 79, 83, 87, 91, 93, 95, 9724
12.319, 21, 23, 25, 27, 29, 31, 35, 39, 41, 43, 45, 49, 5314
12.49, 11, 13, 15, 17, 19, 25, 27, 299
12.517, 19, 21, 23, 25, 27, 29, 35, 37, 41, 47, 51, 53, 55, 57, 61, 71, 75, 77, 79, 8121
13.11, 5, 7, 9, 11, 1561, 5, 7, 9, 11, 15
13.215, 25, 29, 31, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 57, 59, 61, 63, 65, 71, 75, 77, 79, 81, 85, 872625
13.33, 7, 9, 13, 17, 21, 23, 29, 31, 35, 37, 47, 49, 51, 551547, 49, 51, 55
13.49, 11, 15, 17, 19, 23, 25, 27, 29, 35, 37, 41, 45, 47, 491511
13.53, 5, 11, 13, 15, 17, 21, 25, 27, 29, 31, 33, 37, 41, 43, 4516
13.613, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 43, 3915
13.79, 11, 15, 17, 19, 21, 25, 27, 29, 35, 37119, 11

Online Homework

About 5600 of the roughly 7000 exercises in ORCCA are available as online exercises in WeBWorK.


WeBWorK is an open-source, free online homework platform. An institution can host its own WeBWorK server. An institution with its own WeBWorK server may be willing to host courses for faculty at other schools not having adequate IT resources. For a fee, the Mathematical Association of America will provide 6 months of access to a WeBWorK course. For a WeBWorK demonstration of ORCCA exercises (edition 2), see this demonstration course and log in as guest.

Edfinity is a commercial online homework platform that can utilize WeBWorK exercises. Subscribers gain certain use features for both instructors and students, as well as a staffed support team. Search for "ORCCA" to find courses that use either edition 1 or edition 2 problem sets.

If you are PCC faculty and are interested in using ORCCA together with WeBWorK for online homework, please see WeBWorK for Faculty.

If you are not PCC faculty and you have access to a WeBWorK server, download ORCCA-WeBWorK-sets.tgz and follow the instructions in the README file. The instructions assume that you have server side command line access to the WeBWorK server.

Odd (and Even) Answers

For edition 2, the answers to odd-numbered exercises are in orcca-odd-answers.pdf. If some answer is incorrect or missing, please report this use the feedback form below.

Edition 1 odd-numbered answers are also available, but there is no effort to correct errors and omissions.

We don't publish the even answers. The committee that oversees these course has a majority opinion that they should not be published. Some faculty intentionally make use of the even-numbered exercises, knowing that there is no readily-available answer guide. Since ORCCA generally has exercise parity (e.g. #19 and #20 are the same exercise with different random details) faculty who want published answers may assign odd-numbered exercises and not miss out on content covered in an even-numbered exercise.

Suggestions, Observations, and Other Feedback

We welcome any feedback from all users. Especially feedback that is specific enough that we can act upon to improve the book. If you would like to register an observations (anything from a trivial typo to wanting a section entirely rewritten), please use this form:

ORCCA edition 2 Feedback Form

Submissions are organized in a spreadsheet, and as volunteers have time, each submission is considered and acted upon in some way. Small things like a typo might be immediately corrected in the HTML eBook. Larger changes might be made, but need to wait until the next edition to be seen.

Background

In July 2016, PCC's strategic planning initiative awarded funding for math faculty to produce a complete OER for precollege algebra. The book has a working title of ORCCA (Open Resources for Community College Algebra).

At PCC, these materials will cover the sequence MTH 60/65 (or its alternatives MTH 61/62/63 or MTH 70) and MTH 95. The textbook is being written using PreTeXt, which provides

  • an e-book, free to everyone
  • a print book synchronized with the e-book, available for free as an electronic pdf, or for cost plus overhead at the PCC bookstore
  • embedded online homework exercises using the online homework platform WeBWorK

Work began in summer of 2016.
The MTH 60 portion of the book was piloted by 11 PCC faculty in Fall 2017, 12 in Winter 2018, and 9 in Spring 2017.
The MTH 65 portion of the book was piloted by 7 PCC faculty in Winter 2018, and 9 in Spring 2017.
The MTH 95 portion of the book was piloted by 10 PCC faculty in Spring 2017.

Starting in Fall of 2018, all face-to-face sections of MTH 60/65 will use ORCCA. Online sections may choose to use ORCCA or a specified commercial textbook. For MTH 95, all sections may choose to use ORCCA or a specified commercial textbook.

The content of the early editions is driven by PCC's Course Content and Outcome Guides for these courses. The approach to the content is partly informed by the authors' understanding of how this content is currently taught at PCC, and partly informed by published research on improving student success at these levels. It is our hope that over time, ORCCA replaces the CCOG in the sense that it becomes the CCOG. Committee work that has been put into CCOG development and textbook searches in the past will instead be put into making this book suit our needs.

Over academic year 2018/9, PCC curriculum for these courses changed, and ORCCA changed along with them. This led to ORCCA's edition 2.

Licensing

Open Resources for Community College Algebra is licensed under a Creative Commons Attribution 4.0 International License. Under this license, any user of this textbook or the textbook contents must provide proper attribution as follows. If you redistribute all or part of this textbook, then you must include in every digital format page view (including but not limited to EPUB, PDF, and HTML) and on every physical printed page the following attribution:

Original source material, products with readable and accessible math content, and other information freely available at pcc.edu/orcca.

If you redistribute all or part of this textbook, then you must reproduce any math content (such as math expressions and equations) in a readable manner, and offer math content in at least one web accessible manner.

The Portland Community College name, Portland Community College logo, ORCCA name, Open Resources for Community College Algebra name, ORCCA logo, and front and back cover designs on print copies are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Portland Community College.

For questions regarding this license, please contact orcca-group@pcc.edu.

Miscellaneous

 Where is ORCCA in use?

In addition to Portland Community College, some faculty at the following institutions are known to be using ORCCA.

  • Bridgewater State University
  • Central Oregon Community College
  • Emporia State University
  • Lane Community College
  • Oregon Coast Community College
  • Piedmont College
 Recognition

Contact

For questions about ORCCA, you may send a message to orcca-group@pcc.edu.

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4 Comments

  1. Just a note, referring to the online website version of the text as an ebook could be confusing for some instructors who think that means a traditional ebook, such as a downloadable mobi or epub file viewed on a device that may not have internet access. A more apt term might be online text. 

  2. Moss, Michael W  Not saying I agree or disagree. But we had a worse problem when referring to the "online textbook" in the past. The problem with that term is that to some people it suggests the book only exists as an online textbook. We repeatedly found instructors to be under the impression that there was no corresponding print book, when that is not the case.

  3. Hi all,

    I think it would be more helpful to have the sections listed with the numbers of hours you guess that it will take to cover in class, rather than laying it out in a week by week fashion.  There are always differences in each term because of SAC days, holidays, length of term, etc. 

    I wish the schedule looked something like this:

    Section 10.1 - 1 hour

    Section 10.2 - 2 hours

    etc.

    I mostly want to know which section are BIG and need extra time.

    Thanks for all of your hard work on ORCCA!

    -Kara