Open Resources for Community College Algebra (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 I is used in MTH 60, Part II is used in MTH 65, and Part III is used in MTH 95.
ORCCA is available as an interactive HTML eBook, a downloadable PDF, and a printed and bound physical book.
Upgrades Underway
ORCCA is evolving from the 2nd edition to the 3rd edition. At this time, the 3rd edition is available for Part I (at PCC, MTH 60). 2nd edition materials still exist, but the information below will direct you to 3rd edition materials wherever they are available.
Accessing ORCCA
Website version of the book
Part I on a PCC web server (edition 3) or at GitHub
Black and white PDF
Screen PDF (for reading on screen, not printing)
Paperback for purchase
Part I and Appendix A (edition 3) temporarily unavailable. Copies are available at PCC bookstores.
Part II (edition 2) ISBN-13: 978-1089202110
Part III (edition 2) ISBN-13: 978-1687246615
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, in-service days, and closures to contend with. So these sample calendars are not a perfect fit.
MTH 60
| Week | Day 1 | Day 2 |
|---|---|---|
| 1 | Section 1.1 Variables and Evaluating Expressions |
Sections 1.2, 1.3 Combining Like Terms Comparison Symbols and Notation for Intervals |
| 2 | Sections 1.4, 1.5 Equations, Inequalities, and Solutions Solving One-Step Equations |
Sections 1.5 (cont), 1.6 Solving One-Step Equations Solving One-Step Inequalities |
| 3 | Sections 1.7, 1.8 Algebraic Properties and Simplifying Expressions Modeling with Equations and Inequalities |
Sections 1.8 (cont), 1.9 Modeling with Equations and Inequalities Chapter 1 Review |
| 4 | Exam 1 Section 2.1 Solving Multistep Equations |
Sections 2.2, 2.3 Solving Multistep Inequalities Equations and Inequalities with Fractions |
| 5 | Sections 2.4, 2.5 Special Solution Sets Isolating a Linear Variable |
Sections 2.5 (cont), 2.6 Isolating a Linear Variable Chapter 2 Review |
| 6 | Sections 3.1, 3.2 Cartesian Coordinates Graphing Equations |
Sections 3.2 (cont), 3.3 Graphing Equations Exploring Two-Variable Data and Rate of Change |
| 7 | Sections 3.4, 3.5 Slope Slope-Intercept Form |
Section 3.5 (cont), 3.6 Slope-Intercept Form Point-Slope Form |
| 8 | Exam 2 | Sections 3.7, 3.8 Standard Form Geometry of Lines |
| 9 | Sections 3.9, 3.10 Strategies for Graphing Lines Chapter 3 Review |
Section 4.1 Solving a System by Graphing |
| 10 | Sections 4.2, 4.3 Substitution Elimination |
4.4 Chapter 4 Review Review for Final Exam |
| 11 | Finals Week |
MTH 65
| Week | Day 1 | Day 2 |
|---|---|---|
| 1 | Section 5.1 Adding and Subtracting Polynomials |
Sections 5.2, 5.3 Introduction to Exponent Rules Dividing by a Monomial |
| 2 | Sections 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 |
| 3 | Sections 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) |
| 5 | Sections 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 |
| 6 | Section 7.4 Solving Equations in General |
Section 8.1 Scientific Notation |
| 7 | Sections 8.2, 8.3 Unit Conversion Geometry Formulas |
Section 8.3 (cont), 8.4 Geometry Formulas Geometry Applications |
| 8 | Section 9.1, Review for Exam 2 Review of Graphing Review for Exam 2 |
Exam 2 Section 9.1 (cont) Review of Graphing |
| 9 | Section 9.2 Key Features of Quadratic Graphs |
Section 9.3 Graphing Quadratic Expressions |
| 10 | Section 9.4 Graphically Solving Equations and Inequalities |
Review for Final Exam |
| 11 | Finals Week |
MTH 95
| Week | Day 1 | Day 2 |
|---|---|---|
| 1 | Sections 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 |
| 2 | Section 10.5, 10.6 Factoring Special Polynomials Factoring Strategies |
Section 10.7 Solving Quadratic Equations by Factoring |
| 3 | Section 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 |
| 5 | Section 11.5 Technical Definition of a Function |
Sections 12.1, 12.2 Introduction to Rational Functions Multiplication and Division of Rational Expressions |
| 6 | Section 12.3 Addition and Subtraction of Rational Expressions |
Section 12.4 Complex Fractions |
| 7 | Section 12.5 Solving Rational Equations |
Section 12.5 (cont), Review for Exam 2 Solving Rational Equations |
| 8 | Exam 2 Section 13.1 Overview of Graphing |
Section 13.2, 13.3 Quadratic Graphs and Vertex Form Completing the Square |
| 9 | Sections 13.4, 13.5 Absolute Value Equations Solving Mixed Equations |
Sections 13.5 (cont), 13.6 Solving Mixed Equations Compound Inequalities |
| 10 | Section 13.7 Solving Inequalities Graphically |
Review for Final Exam |
| 11 | Finals 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
| Section | Exercises | Count |
|---|---|---|
| 1.1 | 2, 6, 10, 12, 14, 16, 18, 20, 24, 34, 46, 50, 54, 56, 66, 68, 72, 78, 80, 90 | 20 |
| 1.2 | 2, 8, 16, 18, 20, 26, 34, 42, 50, 56, 72, 76 | 12 |
| 1.3 | 8, 10, 18, 30, 32, 34, 38, 40, 46, 50, 56, 60, 64, 68, 70, 72 | 16 |
| 1.4 | 2, 4, 6, 8, 10, 16, 20, 26, 28, 30, 36, 42, 48, 58, 66, 68 | 16 |
| 1.5 | 2, 6, 10, 18, 22, 24, 26, 32, 40, 46, 48, 58, 62, 66 | 14 |
| 1.6 | 2, 4, 8, 10, 12, 14, 16, 18, 20 | 9 |
| 1.7 | 2, 4, 8, 10, 14, 20, 24, 30, 32, 38, 44, 48, 52, 58 | 14 |
| 1.8 | 2, 4, 8, 12,16, 24, 32, 34, 40, 44, 48, 56, 58, 62, 66, 70 | 16 |
| 1.9 | 4, 6, 12, 18, 20, 26, 32, 34, 38, 42, 48, 50, 54, 58, 64, 68, 74, 78, 80 | 19 |
| 2.1 | 4, 8, 10, 20, 24, 28, 34, 38, 42, 48, 54, 60, 62, 70 | 14 |
| 2.2 | 4, 6, 10, 16, 24, 30, 34, 36 | 8 |
| 2.3 | 8, 12, 16, 20, 26, 28, 30, 36, 40, 44, 48 | 11 |
| 2.4 | 4, 8, 14, 20, 22, 26, 32, 36, 38 | 9 |
| 2.5 | 2, 8, 10, 14, 18, 20, 22, 24, 26, 30, 34 | 11 |
| 2.6 | 2, 6, 8, 10, 14, 16, 20, 24, 26, 28, 32, 34, 38, 40, 44, 46, 48 | |
| 3.1 | 2, 4, 6, 10, 12, 14, 16, 18 | 8 |
| 3.2 | 2, 8, 10, 12, 14, 16, 18, 20, 22 | 9 |
| 3.3 | 2, 6, 8, 10, 14, 18, 22, 24, 28, 30, 32, 36, 40, 42 | 14 |
| 3.4 | 2, 6, 12, 16, 18, 22, 26, 28, 34, 38, 40, 46, 48 | 13 |
| 3.5 | 4, 8, 14, 18, 22, 28, 30, 34, 38, 42, 48, 52, 56, 62, 66, 70, 76 | 17 |
| 3.6 | 2, 4, 8, 10, 12, 16, 20, 24, 28, 32, 36, 38, 40, 44, 52, 54 | 16 |
| 3.7 | 2, 6, 8, 14, 16, 20, 24, 26, 30, 32 | 10 |
| 3.8 | 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40 | 16 |
| 3.9 | 2, 4, 10, 12, 18, 20, 26, 30, 34, 38, 40, 44, 48 | 13 |
| 3.10 | 2, 4, 6, 8, 12, 16, 18, 20, 22, 24, 26, 30, 32, 36, 38, 40, 42, 44, 48, 50, 52, 56, 58, 60, 62, 66, 68, 70, 74 | 29 |
| 4.1 | 2, 4, 6, 8, 12, 14, 16, 18, 20, 22, 26, 30, 36, 42, 44 | 15 |
| 4.2 | 2, 6, 16, 20, 24, 28, 36, 44, 46, 54, 56, 62 | 12 |
| 4.3 | 2, 6, 8, 10, 12, 20, 22, 28, 32, 34, 36 | 11 |
| 4.4 | 2, 4, 6, 10, 12, 16, 18, 20, 22, 24, 26 | 11 |
Part II
| Section | Exercises | Count | non-WW |
|---|---|---|---|
| 5.1 | 5, 7, 25, 27, 31, 35, 41, 57, 65, 67, 69, 71, 73, 77, 83, 87, 91 | 17 | |
| 5.2 | 9, 11, 13, 15, 19, 21, 23, 25, 27, 31, 33, 35, 37, 39, 41, 45, 47, 51, 55, 57, 61, 65 | 22 | |
| 5.3 | 1, 3, 5, 19, 21, 23, 25, 29, 33, 35, 37 | 11 | |
| 5.4 | 17, 23, 33, 35, 39, 43, 45, 51, 59, 61, 67, 69, 71, 73, 77, 79, 85 | 17 | |
| 5.5 | 13, 17, 21, 25, 29, 31, 35, 39, 43, 47, 51, 69 | 12 | |
| 5.6 | 1, 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, 117 | 28 | |
| 6.1 | 3, 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, 99 | 27 | |
| 6.2 | 9, 11, 13, 21, 23, 25, 27, 39, 41, 43, 45 | 11 | |
| 6.3 | 15, 19, 21, 23, 27, 31, 37, 39, 41, 43, 45, 49, 51, 57, 61, 63, 67, 73 | 18 | |
| 6.4 | 13, 15, 17, 19, 21, 29, 33, 35, 37, 39, 43 | 11 | |
| 7.1 | 1, 5, 9, 21, 23, 25, 29, 31, 33, 35, 37, 39, 43, 45 | 14 | |
| 7.2 | 11, 15, 17, 19, 23, 25, 31, 33, 35, 39, 43, 45, 49, 53, 57, 61, 63, 65, 67, 69 | 20 | |
| 7.3 | 1, 3, 5, 7, 9, 11, 13, 15, 17, 19 | 10 | |
| 7.4 | 1, 3, 7, 9, 13, 15, 19, 21, 25, 27, 31, 33, 37, 39, 43, 45, 49, 51, 55, 57, 61, 63, 67, 69 | 24 | |
| 8.1 | 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 29, 33, 35, 37, 41 | 18 | |
| 8.2 | 7, 11, 15, 21, 25, 29, 35, 43, 45, 49, 51 | 11 | |
| 8.3 | 1, 3, 7, 9, 11, 13, 15, 19, 27, 31, 37, 39, 43, 47, 49, 51 | 16 | |
| 8.4 | 1, 3, 9, 11, 15, 17, 19 | 7 | |
| 9.1 | 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 23 | 11 | 3, 13, 15, 17, 19 |
| 9.2 | 9, 13, 17, 21, 25, 29, 31, 33, 35, 37, 41, 45, 49, 53, 57 | 15 | 29, 31, 33, 37, 39, 41 |
| 9.3 | 13, 15, 17, 19, 23, 25, 33, 35, 37, 39, 41, 43, 47, 53, 55, 57, 61, 63 | 18 | 33, 35, 37, 39, 41, 43, 47 |
| 9.4 | 1, 3, 5, 7, 9, 11, 13, 15, 17, 19 | 10 |
Part III
| Section | Exercises | Count | non-WW |
|---|---|---|---|
| 10.1 | 9, 11, 13, 17, 21, 25, 29, 31, 35, 39, 43, 45 | 12 | |
| 10.2 | 7, 9, 11, 13, 17, 19, 21, 23, 27, 29, 33, 35 | 12 | |
| 10.3 | 11, 13, 15, 17, 19, 21, 27, 35, 37, 41, 43, 47, 49, 53, 55, 59, 61, 63 | 18 | |
| 10.4 | 9, 11, 13, 15, 19, 21, 25, 29, 31, 33, 37, 41, 43, 47, 49, 71, 73 | 17 | |
| 10.5 | 13, 15, 17, 19, 21, 23, 27, 31, 35, 37, 39, 45, 49, 55, 57, 61, 63, 67, 69, 71, 73, 79, 81 | 23 | |
| 10.6 | 5, 11, 17, 19, 23, 25, 29, 31, 35, 37, 41, 43, 45, 47, 49, 53, 57, 59, 63, 65, 67, 69, 71 | 23 | |
| 10.7 | 11, 13, 15, 17, 19, 21, 25, 27, 29, 33, 35, 39, 41, 45, 47, 51, 53, 67, 69, 71 | 20 | |
| 11.1 | 11, 17, 19, 21, 27, 31, 33, 37, 39, 41, 43, 45, 47, 49, 51, 59, 61, 63, 65, 67, 69, 75, 81, 89, 93, 97 | 26 | |
| 11.2 | 9, 11, 13, 15, 17, 21, 23, 29, 35, 37, 43, 47, 49, 53, 57, 59, 61, 69, 71, 75, 77, 81 | 22 | |
| 11.3 | 3, 7, 9, 15, 19, 21, 25, 27, 29, 31, 33, 41, 45, 47 | 14 | |
| 11.4 | 9, 11, 17, 21, 23, 25, 29, 31, 33, 35, 37, 39, 41, 43 | 14 | |
| 11.5 | 1, 5, 7, 9, 11, 13, 15 | 7 | |
| 12.1 | 1, 3, 5, 7, 9, 11, 13, 15, 17, 21, 23, 25, 29, 31, 33, 35 | 16 | |
| 12.2 | 21, 23, 27, 29, 31, 33, 35, 37, 39, 41, 45, 49, 63, 65, 71, 75, 77, 79, 83, 87, 91, 93, 95, 97 | 24 | |
| 12.3 | 19, 21, 23, 25, 27, 29, 31, 35, 39, 41, 43, 45, 49, 53 | 14 | |
| 12.4 | 9, 11, 13, 15, 17, 19, 25, 27, 29 | 9 | |
| 12.5 | 17, 19, 21, 23, 25, 27, 29, 35, 37, 41, 47, 51, 53, 55, 57, 61, 71, 75, 77, 79, 81 | 21 | |
| 13.1 | 1, 5, 7, 9, 11, 15 | 6 | 1, 5, 7, 9, 11, 15 |
| 13.2 | 15, 25, 29, 31, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 57, 59, 61, 63, 65, 71, 75, 77, 79, 81, 85, 87 | 26 | 25 |
| 13.3 | 3, 7, 9, 13, 17, 21, 23, 29, 31, 35, 37, 47, 49, 51, 55 | 15 | 47, 49, 51, 55 |
| 13.4 | 9, 11, 15, 17, 19, 23, 25, 27, 29, 35, 37, 41, 45, 47, 49 | 15 | 11 |
| 13.5 | 3, 5, 11, 13, 15, 17, 21, 25, 27, 29, 31, 33, 37, 41, 43, 45 | 16 | |
| 13.6 | 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 43, 39 | 15 | |
| 13.7 | 9, 11, 15, 17, 19, 21, 25, 27, 29, 35, 37 | 11 | 9, 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 or use a hosting service. An institution with its own WeBWorK server may be willing to host courses for faculty at other schools not having adequate IT resources.
If you are PCC faculty and are interested in using ORCCA together with WeBWorK for online homework, please see WeBWorK for faculty.
Excluding edition 3, if you are not PCC faculty and you have access to a WeBWorK server, download the ORCCA WeBWork sets file and follow the instructions in the README file. The instructions assume that you have server-side command line access to the WeBWorK server.
WeBWorK files for edition 3 will be gathered and made available once all of edition 3 is ready.
Odd (and even) answers
For edition 3, there is an appendix in the web version of the book that gives odd-numbered answers.
For edition 2, the answers to odd-numbered exercises are here: ORCCA odd answers. If some answer is incorrect or missing, please report this using 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 even answers. The committee that oversees these courses 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.
Video playlists
The HTML version of ORCCA has a YouTube video playlist at the top of almost every section. These videos are not exactly a replacement for the written content, but they are meant to be a close approximation and are labeled “Alternative Video Lesson”. Meaning, an alternative to reading everything. You may want to use the playlists for other purposes, and here you may find the complete list of YouTube playlist IDs for edition 2.
https://www.youtube.com/playlist?list=PLmuZCPhWPt-dqjDRbGl2sSeMeTvrHik4pThese may be used in many ways. The most common way would be to provide someone a link to go to YouTube and watch the playlist. That would be a URL with the following structure. Note the playlist ID is at the end.
https://www.youtube.com/embed/videoseries?list=PLmuZCPhWPt-dqjDRbGl2sSeMeTvrHik4pAnother common need would be to embed the playlist in something else. For that, use a URL with the following structure. Note the playlist ID is at the end.
ORCCA YouTube playlist IDs
| Section | Title | Playlist ID |
|---|---|---|
| 1.1 | Variables and Evaluating Expressions | PLmuZCPhWPt-cOp0ZMJHO6zy0bhdu2gKjQ |
| 1.2 | Combining Like Terms | PLmuZCPhWPt-dqjDRbGl2sSeMeTvrHik4p |
| 1.3 | Comparison Symbols and Notation for Intervals | PLmuZCPhWPt-eG16R-Bwkkcna9LWJrMXho |
| 1.4 | Equations, Inequalities, and Solutions | PLmuZCPhWPt-dTJw-zF33uIwEoFmBjd2jp |
| 1.5 | Solving OneStep Equations | PLmuZCPhWPt-cttxbKypuCvTQFoSXATxAF |
| 1.6 | Solving OneStep Inequalities | PLmuZCPhWPt-e07ZjJTXdkRf9V8MDJaz1m |
| 1.7 | Algebraic Properties and Simplifying Expressions | PLmuZCPhWPt-eiwLULOcn5X4ZyZ5kB6H6A |
| 1.8 | Modeling with Equations and Inequalities | PLmuZCPhWPt-dL4to2zbHwZBLGkJ6cBf0I |
| 2.1 | Solving Multistep Linear Equations | PLmuZCPhWPt-f7ezMxAmmOJqEHiU6BOLTH |
| 2.2 | Solving Multistep Linear Inequalities | PLmuZCPhWPt-cJeXEsK8ig6AWi0FgfEGuQ |
| 2.3 | Equations and Inequalities with Fractions | PLmuZCPhWPt-e_QSbGeacmrdYyommPaxf4 |
| 2.4 | Special Solution Sets | PLmuZCPhWPt-esiq8AiMfACzqOpC5bJygR |
| 2.5 | Isolating a Linear Variable | PLmuZCPhWPt-f5-qOx8wPyZf4j1u4OHhQV |
| 3.1 | Cartesian Coordinates | PLmuZCPhWPt-cHeBo5cBbvM9w9bPCv8TU6 |
| 3.2 | Graphing Equations | PLmuZCPhWPt-cYCLcYMtd7GdwFZ4DRDTBc |
| 3.3 | Exploring Two-Variable Data and Rate of Change | PLmuZCPhWPt-dy8SL-jRrCcU2G2ueG9BXb |
| 3.4 | Slope | PLmuZCPhWPt-ehhIZJSr3Tp7xyA450Od5R |
| 3.5 | Slope-Intercept Form | PLmuZCPhWPt-cR9nhDJcByg3_HALa8sSwp |
| 3.6 | Point-Slope Form | PLmuZCPhWPt-eTTovr5Y8TossT7tMqR43W |
| 3.7 | Standard Form | PLmuZCPhWPt-dXhmAoys9lNZg0c3U77LBw |
| 3.8 | Geometry of Lines | PLmuZCPhWPt-dG-XwuV-W9d_U79oIF6z-R |
| 3.9 | Strategies for Graphing Lines | PLmuZCPhWPt-dSIb9W3SsQGsoWCmjMihcY |
| 4.1 | Solving a Systems by Graphing | PLmuZCPhWPt-c8HMsuhb9oJTIJBEvrrZiH |
| 4.2 | Substitution | PLmuZCPhWPt-e7mzn96IqkqKBOOrcpG8Cw |
| 4.3 | Elimination | PLmuZCPhWPt-fKef6hvJEdOKX6tbUUh2K2 |
| 4.4 | Systems of Linear Equations Chapter Review | PLmuZCPhWPt-fpvaVC7ZcWuFb7MjW8alTX |
| 5.1 | Adding and Subtracting Polynomials | PLmuZCPhWPt-fU6NluIfNnsbsnRi9Ril6M |
| 5.2 | Introduction to Exponent Rules | PLmuZCPhWPt-frT2IoPCYbXFHCp1OgGRzi |
| 5.3 | Dividing by a Monomial | PLmuZCPhWPt-ctMJkDhYZdH-wRbE0WDzAE |
| 5.4 | Multiplying Polynomials | PLmuZCPhWPt-eCbs7JZnacBJj2YUTmRxY1 |
| 5.5 | Special Cases of Multiplying Polynomials | PLmuZCPhWPt-dZn2tR8c6JV0K-vIjwNrjG |
| 5.6 | More Exponent Rules | PLmuZCPhWPt-ecqkbveP7LK1cSKRgOtT4T |
| 6.1 | Square and nth Root Properties | PLmuZCPhWPt-flbQmCojUofDfyHSDrpt72 |
| 6.2 | Rationalizing the Denominator | PLmuZCPhWPt-de_Yf-bVkayBcK5f4h-Ui6 |
| 6.3 | Radical Expressions and Rational Exponents | PLmuZCPhWPt-d_Q_tIMxBoteIjEIP9zYa6 |
| 6.4 | Solving Radical Equations | PLmuZCPhWPt-fmrTSt4H_bqf4X088uLVCn |
| 7.1 | Solving Quadratic Equations by Using a Square Root | PLmuZCPhWPt-ckSOcZGhTRgy2QCT1Hzsp3 |
| 7.2 | The Quadratic Formula | PLmuZCPhWPt-dvXvemkv2B4YtnK-s2WCh9 |
| 7.3 | Complex Solutions to Quadratic Equations | PLmuZCPhWPt-fS8g36sebsN9ECG3i1XSa9 |
| 7.4 | Solving Equations in General | PLmuZCPhWPt-fbxkbMVRiul2TSS_c4iJCu |
| 8.1 | Scientific Notation | PLmuZCPhWPt-fl8UfHkt0R0ZJW1P8c66tF |
| 8.2 | Unit Conversion | PLmuZCPhWPt-dw7L8cAsmxjAYg0NVWjDmz |
| 8.3 | Geometry Formulas | PLmuZCPhWPt-dld86yGJDqktWW3R_aTQOi |
| 8.4 | Geometry Applications | PLmuZCPhWPt-dsYI3mxkwqJduiUexKE3ST |
| 9.1 | Review of Graphing | PLmuZCPhWPt-fDPXHolXtPbE2VV8svBRZK |
| 9.2 | Key Features of Quadratic Graphs | PLmuZCPhWPt-cwQC_hjL7F5fID0o1zyT0l |
| 9.3 | Graphing Quadratic Expressions | PLmuZCPhWPt-fRIJjq-3_he5nEf9TMNPmi |
| 9.4 | Graphically Solving Equations and Inequalities | PLmuZCPhWPt-faerrmbkVAxVHrwHYjfnUB |
| 10.1 | Factoring Out the Common Factor | PLfPh0EsBc0yIIJk5TgiNzpTktexDYGi_h |
| 10.2 | Factoring by Grouping | PLfPh0EsBc0yJjfJ70IFN5oMWg8i6AgAsm |
| 10.3 | Factoring Trinomials with Leading Coefficient One | PLfPh0EsBc0yIMQWceuZ3CJzFW8JF8DlwJ |
| 10.4 | Factoring Trinomials with a Nontrivial Leading Coefficient | PLfPh0EsBc0yJ5xvcIDWbYew7SsretPyX_ |
| 10.5 | Factoring Special Polynomials | PLfPh0EsBc0yJxPyMPH6CgUy-R-VvRlwpK |
| 10.6 | Factoring Strategies | PLfPh0EsBc0yLm5QkivDOJfubiKHn1d-_t |
| 10.7 | Solving Quadratic Equations by Factoring | PLfPh0EsBc0yIyYh6GTj-BgwXXeBxQCq1L |
| 11.1 | Function Basics | PLfPh0EsBc0yLcsn7Lr-wbUA8Z3HtmrqNE |
| 11.2 | Domain and Range | PLfPh0EsBc0yKPhf9L6-xXch3hA8w8h0Wa |
| 11.3 | Using Technology to Explore Functions | PLfPh0EsBc0yJpvlJzHp8UtF4zMEo_RcIy |
| 11.4 | Simplifying Expressions with Function Notation | PLfPh0EsBc0yL6Wtjo_0vJ9y3VjNEXwExp |
| 11.5 | Technical Definition of a Function | PLfPh0EsBc0yJTQoQ1HGtUvLcvMZPLTxr6 |
| 12.1 | Introduction to Rational Functions | PLfPh0EsBc0yJ3vBv_N3gze7uhA7on5UB6 |
| 12.2 | Multiplication and Division of Rational Expressions | PLfPh0EsBc0yJGfb3TKGVTJdRN8gtADFON |
| 12.3 | Addition and Subtraction of Rational Expressions | PLfPh0EsBc0yJjmrYW1TtOzdGWE5wkx2nr |
| 12.4 | Complex Fractions | PLfPh0EsBc0yIlPrs4FG1oeB4oFsnfYOJs |
| 12.5 | Solving Rational Equations | PLfPh0EsBc0yIt9yY2Tx_q7ZUVRE892Lc2 |
| 13.1 | Overview of Graphing | PLfPh0EsBc0yLCKilC2b2doXUwO7Iaejzt |
| 13.2 | Quadratic Graphs and Vertex Form | PLfPh0EsBc0yKv88MN_pGzCC_I_tA5KjA5 |
| 13.3 | Completing the Square | PLfPh0EsBc0yLkOWZ4nwq5wUzgAp9Wy6vj |
| 13.4 | Absolute Value Equations | PLfPh0EsBc0yLxr9gbK4dvy688zkCvMRi7 |
| 13.5 | Solving Mixed Equations | PLfPh0EsBc0yL0f4Jvs-xY3VFQ3SMIo0Ja |
| 13.6 | Compound Inequalities | PLfPh0EsBc0yIJ7nSw6k49Z3QiZQKXjYOR |
| 13.7 | Solving Inequalities Graphically | PLfPh0EsBc0yJnRjOAWdQp1TjzF7VemI58 |
| A.1 | Arithmetic with Negative Numbers | PLmuZCPhWPt-e9_xhC4FMku8Ri3nf13iHa |
| A.2 | Fractions and Fraction Arithmetic | PLmuZCPhWPt-cNFDYv4AQQ7sYONKbQZafq |
| A.3 | Absolute Value and Square Root | PLmuZCPhWPt-d526tx6oZEdA39w3uUo5iS |
| A.4 | Percentages | PLmuZCPhWPt-fEXjhLrvFaKIv4f0tgQg1W |
| A.5 | Order of Operations | PLmuZCPhWPt-eUvbTLRaIcVzyJ6eCaSqTr |
| A.6 | Set Notation and Types of Numbers | PLmuZCPhWPt-cae4qO6BTDpKi7RCO-bgtp |
The videos feature PCC instructors working through examples on screen. You can download PDFs with these same examples, with space provided as in the videos. A common use for this is to ask students to complete these “video lecture notes” as they watch the videos. The Part 1 and Part 2 zip files include two large PDFs (one with module breakpoints for a ten-week course and one without) and also .tex files. The Part 3 zip file includes an individual PDF for each video lecture playlist.
- ORCCA part 1 video lecture outlines
- ORCCA part 2 video lecture outlines
- ORCCA part 3 video lecture outlines
Contributed ancillary materials (worksheets, lecture notes, etc.)
Instructors using ORCCA (from PCC and elsewhere) are welcome and invited to share supporting materials here. PCC faculty can edit this page and add files. Additionally, anyone with materials to post can contact orcca-group@pcc.edu.
| Contributor | Description | Download | License |
|---|---|---|---|
| Sharon Brewin | Student note packet | CC BY 4.0 | |
| Kara Colley | Class notes, shifts worksheet | CC BY 4.0 | |
| Jeff Pettit | Group project assignments | CC BY 4.0 | |
| Laura Smoyer | Class notes, group work, problem sets, syllabus, schedule | CC BY 4.0 |
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 observation (anything from a trivial typo to wanting a section entirely rewritten), please use the ORCCA Edition 2 feedback form.
There will be a feedback process for edition 3 once edition 3 is complete.
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 pre-college 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 eBook, 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 the 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 the 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. We 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 2018-19, the 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 are 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
ORCCA has been recognized by these institutions.
Contact
or questions about ORCCA, you may send a message to orcca-group@pcc.edu.