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"Unpublished" from Amazon, but it is still possible to find used copies.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"Unpublished" from Amazon, but it is still possible to find used copies.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"Unpublished" from Amazon, but it is still possible to find used copies.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"Unpublished" from Amazon, but it is still possible to find used copies.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


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
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
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.


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
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
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.

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.

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.

These may be used in many ways. The most common ways 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/playlist?list=PLmuZCPhWPt-dqjDRbGl2sSeMeTvrHik4p

Another 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.

https://www.youtube.com/embed/videoseries?list=PLmuZCPhWPt-dqjDRbGl2sSeMeTvrHik4p


SectionTitlePlaylist ID
1.1Variables and Evaluating ExpressionsPLmuZCPhWPt-cOp0ZMJHO6zy0bhdu2gKjQ
1.2Combining Like TermsPLmuZCPhWPt-dqjDRbGl2sSeMeTvrHik4p
1.3Comparison Symbols and Notation for IntervalsPLmuZCPhWPt-eG16R-Bwkkcna9LWJrMXho
1.4Equations and Inequalities as TrueFalse StatementsPLmuZCPhWPt-dTJw-zF33uIwEoFmBjd2jp
1.5Solving OneStep EquationsPLmuZCPhWPt-cttxbKypuCvTQFoSXATxAF
1.6Solving OneStep InequalitiesPLmuZCPhWPt-e07ZjJTXdkRf9V8MDJaz1m
1.7Algebraic Properties and Simplifying ExpressionsPLmuZCPhWPt-eiwLULOcn5X4ZyZ5kB6H6A
1.8Modeling with Equations and InequalitiesPLmuZCPhWPt-dL4to2zbHwZBLGkJ6cBf0I
2.1Solving Multistep Linear EquationsPLmuZCPhWPt-f7ezMxAmmOJqEHiU6BOLTH
2.2Solving Multistep Linear InequalitiesPLmuZCPhWPt-cJeXEsK8ig6AWi0FgfEGuQ
2.3Linear Equations and Inequalities with FractionsPLmuZCPhWPt-e_QSbGeacmrdYyommPaxf4
2.4Special Solution SetsPLmuZCPhWPt-esiq8AiMfACzqOpC5bJygR
2.5Isolating a Linear VariablePLmuZCPhWPt-f5-qOx8wPyZf4j1u4OHhQV
3.1Cartesian CoordinatesPLmuZCPhWPt-cHeBo5cBbvM9w9bPCv8TU6
3.2Graphing EquationsPLmuZCPhWPt-cYCLcYMtd7GdwFZ4DRDTBc
3.3Exploring TwoVariable Data and Rate of ChangePLmuZCPhWPt-dy8SL-jRrCcU2G2ueG9BXb
3.4SlopePLmuZCPhWPt-ehhIZJSr3Tp7xyA450Od5R
3.5SlopeIntercept FormPLmuZCPhWPt-cR9nhDJcByg3_HALa8sSwp
3.6PointSlope FormPLmuZCPhWPt-eTTovr5Y8TossT7tMqR43W
3.7Standard FormPLmuZCPhWPt-dXhmAoys9lNZg0c3U77LBw
3.8Horizontal Vertical Parallel and Perpendicular LinesPLmuZCPhWPt-dG-XwuV-W9d_U79oIF6z-R
3.9Summary of Graphing LinesPLmuZCPhWPt-dSIb9W3SsQGsoWCmjMihcY
4.1Solving Systems of Linear Equations by GraphingPLmuZCPhWPt-c8HMsuhb9oJTIJBEvrrZiH
4.2SubstitutionPLmuZCPhWPt-e7mzn96IqkqKBOOrcpG8Cw
4.3EliminationPLmuZCPhWPt-fKef6hvJEdOKX6tbUUh2K2
4.4Systems of Linear Equations Chapter ReviewPLmuZCPhWPt-fpvaVC7ZcWuFb7MjW8alTX
5.1Adding and Subtracting PolynomialsPLmuZCPhWPt-fU6NluIfNnsbsnRi9Ril6M
5.2Introduction to Exponent RulesPLmuZCPhWPt-frT2IoPCYbXFHCp1OgGRzi
5.3Dividing by a MonomialPLmuZCPhWPt-ctMJkDhYZdH-wRbE0WDzAE
5.4Multiplying PolynomialsPLmuZCPhWPt-eCbs7JZnacBJj2YUTmRxY1
5.5Special Cases of Multiplying PolynomialsPLmuZCPhWPt-dZn2tR8c6JV0K-vIjwNrjG
5.6More Exponent RulesPLmuZCPhWPt-ecqkbveP7LK1cSKRgOtT4T
6.1Square and nth Root PropertiesPLmuZCPhWPt-flbQmCojUofDfyHSDrpt72
6.2Rationalizing the DenominatorPLmuZCPhWPt-de_Yf-bVkayBcK5f4h-Ui6
6.3Radical Expressions and Rational ExponentsPLmuZCPhWPt-d_Q_tIMxBoteIjEIP9zYa6
6.4Solving Radical EquationsPLmuZCPhWPt-fmrTSt4H_bqf4X088uLVCn
7.1Solving Quadratic Equations by Using a Square RootPLmuZCPhWPt-ckSOcZGhTRgy2QCT1Hzsp3
7.2The Quadratic FormulaPLmuZCPhWPt-dvXvemkv2B4YtnK-s2WCh9
7.3Complex Solutions to Quadratic EquationsPLmuZCPhWPt-fS8g36sebsN9ECG3i1XSa9
7.4Solving Equations in GeneralPLmuZCPhWPt-fbxkbMVRiul2TSS_c4iJCu
8.1Scientific NotationPLmuZCPhWPt-fl8UfHkt0R0ZJW1P8c66tF
8.2Unit ConversionPLmuZCPhWPt-dw7L8cAsmxjAYg0NVWjDmz
8.3Geometry FormulasPLmuZCPhWPt-dld86yGJDqktWW3R_aTQOi
8.4Geometry ApplicationsPLmuZCPhWPt-dsYI3mxkwqJduiUexKE3ST
9.1Review of GraphingPLmuZCPhWPt-fDPXHolXtPbE2VV8svBRZK
9.2Key Features of Quadratic GraphsPLmuZCPhWPt-cwQC_hjL7F5fID0o1zyT0l
9.3Graphing Quadratic ExpressionsPLmuZCPhWPt-fRIJjq-3_he5nEf9TMNPmi
9.4Graphically Solving Equations and InequalitiesPLmuZCPhWPt-faerrmbkVAxVHrwHYjfnUB
10.1Factoring Out the Common FactorPLfPh0EsBc0yIIJk5TgiNzpTktexDYGi_h
10.2Factoring by GroupingPLfPh0EsBc0yJjfJ70IFN5oMWg8i6AgAsm
10.3Factoring Trinomials with Leading Coefficient OnePLfPh0EsBc0yIMQWceuZ3CJzFW8JF8DlwJ
10.4Factoring Trinomials with a Nontrivial Leading CoefficientPLfPh0EsBc0yJ5xvcIDWbYew7SsretPyX_
10.5Factoring Special PolynomialsPLfPh0EsBc0yJxPyMPH6CgUy-R-VvRlwpK
10.6Factoring StrategiesPLfPh0EsBc0yLm5QkivDOJfubiKHn1d-_t
10.7Solving Quadratic Equations by FactoringPLfPh0EsBc0yIyYh6GTj-BgwXXeBxQCq1L
11.1Function BasicsPLfPh0EsBc0yLcsn7Lr-wbUA8Z3HtmrqNE
11.2Domain and RangePLfPh0EsBc0yKPhf9L6-xXch3hA8w8h0Wa
11.3Using Technology to Explore FunctionsPLfPh0EsBc0yJpvlJzHp8UtF4zMEo_RcIy
11.4Simplifying Expressions with Function NotationPLfPh0EsBc0yL6Wtjo_0vJ9y3VjNEXwExp
11.5Technical Definition of a FunctionPLfPh0EsBc0yJTQoQ1HGtUvLcvMZPLTxr6
12.1Introduction to Rational FunctionsPLfPh0EsBc0yJ3vBv_N3gze7uhA7on5UB6
12.2Multiplication and Division of Rational ExpressionsPLfPh0EsBc0yJGfb3TKGVTJdRN8gtADFON
12.3Addition and Subtraction of Rational ExpressionsPLfPh0EsBc0yJjmrYW1TtOzdGWE5wkx2nr
12.4Complex FractionsPLfPh0EsBc0yIlPrs4FG1oeB4oFsnfYOJs
12.5Solving Rational EquationsPLfPh0EsBc0yIt9yY2Tx_q7ZUVRE892Lc2
13.1Overview of GraphingPLfPh0EsBc0yLCKilC2b2doXUwO7Iaejzt
13.2Quadratic Graphs and Vertex FormPLfPh0EsBc0yKv88MN_pGzCC_I_tA5KjA5
13.3Completing the SquarePLfPh0EsBc0yLkOWZ4nwq5wUzgAp9Wy6vj
13.4Absolute Value EquationsPLfPh0EsBc0yLxr9gbK4dvy688zkCvMRi7
13.5Solving Mixed EquationsPLfPh0EsBc0yL0f4Jvs-xY3VFQ3SMIo0Ja
13.6Compound InequalitiesPLfPh0EsBc0yIJ7nSw6k49Z3QiZQKXjYOR
13.7Solving Inequalities GraphicallyPLfPh0EsBc0yJnRjOAWdQp1TjzF7VemI58
A.1Arithmetic with Negative NumbersPLmuZCPhWPt-e9_xhC4FMku8Ri3nf13iHa
A.2Fractions and Fraction ArithmeticPLmuZCPhWPt-cNFDYv4AQQ7sYONKbQZafq
A.3Absolute Value and Square RootPLmuZCPhWPt-d526tx6oZEdA39w3uUo5iS
A.4PercentagesPLmuZCPhWPt-fEXjhLrvFaKIv4f0tgQg1W
A.5Order of OperationsPLmuZCPhWPt-eUvbTLRaIcVzyJ6eCaSqTr
A.6Set Notation and Types of NumbersPLmuZCPhWPt-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_201904.zip

ORCCA_Part-2_Video_Lecture_Outlines_201904.zip

ORCCA_Part-3_Video_Lecture_Outlines_201904.zip

Contributed Ancillary Materials (Worksheets, Lecture Notes, Etc.)

Instructors using ORCCA (form 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.

ContributorDescriptionDownloadLicense
Sharon BrewinStudent note packet

ORCCA Student Note packet.zip

CC BY 4.0
Kara ColleyClass notes, shifts worksheet

Kara Colley - M95 class notes, worksheets.zip

CC BY 4.0
Jeff PettitGroup project assignments

Group Project Assignments.zip

CC BY 4.0
Laura SmoyerClass notes, group work, problem sets, syllabus, schedule

Math 60 ORCCA Class Notes and Group Work.zip
Math 60 ORCCA Problem Sets.zip
Math 65 ORCCA Class Notes and Group Work.zip
Math 65-ORCCA Problem Sets.zip
Math 95 Smoyer Class Notes and Group Work.zip
Math 95 Smoyer Problem Sets.zip
Group Roles.docx

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 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

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

ORCCA has been recognized by these institutions.

Contact

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

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4 Comments

  1. Max Macias

    Thank you!  (thumbs up)

  2. Michael Moss

    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. 

  3. Alexander Jordan

    Michael Moss  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.

  4. Kara Colley

    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