Portland Community College | Portland, Oregon Portland Community College

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 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

Edition Free Paperback from Amazon
2nd Edition

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
1st Edition
  • “Unpublished” from Amazon, but it is still possible to find used copies.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 Edition
  • “Unpublished” from Amazon, but it is still possible to find used copies.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  • “Unpublished” from Amazon, but it is still possible to find used copies.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  • “Unpublished” from Amazon, but it is still possible to find used copies.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 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, 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 as True/False Statements
Solving One-Step Equations
Sections 1.5 (cont), 1.6
Solving One-Step Equations
Solving One-Step Inequalities
3 Section 1.7
Algebraic Properties and Simplifying Expressions
Section 1.8
Modeling with Equations and Inequalities
4 Sections 2.1, 2.2Solving Multistep Equations
Solving Multistep Inequalities
Section 2.2 (cont), Review for Exam 1
Solving Multistep Inequalities
Review for Exam 1
5 Exam 1
Section 2.3
Linear Equations and Inequalities with Fractions
Sections 2.4, 2.5
Special Solution Sets
Isolating a Linear Variable
6 Sections 3.1, 3.2
Cartesian Coordinates
Graphing Equations
Sections 3.3, 3.4
Exploring Two-Variable Data and Rate of Change
Slope
7 Sections 3.4 (cont) 3.5
Slope
Slope-Intercept Form
Section 3.6
Point-Slope Form
8 Sections 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
9 Exam 2
Section 4.1
Solving Systems of Linear Equations by Graphing
Section 4.2
Substitution
10 Section 4.3
Elimination
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 non-WW
1.1 1, 3, 9, 11, 13, 15, 17, 21, 25, 37, 41, 45, 47, 49, 53, 57, 65 17
1.2 1, 3, 5, 7, 9, 11, 15, 21, 25, 29 10
1.3 1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 53, 59, 65 16
1.4 11, 21, 25, 29, 31, 33, 37, 41, 43, 49 10
1.5 3, 7, 11, 13, 19, 25, 31, 37, 43, 45, 47, 49, 53, 57, 63, 73, 77, 85 18
1.6 15, 17, 25, 27, 29, 35, 39, 45 8
1.7 9, 11, 13, 17, 19, 31, 33, 35, 39, 43, 47, 53, 61, 67 14
1.8 1, 3, 5, 7, 9, 13, 15, 19, 23, 25, 31, 39, 47, 55, 63, 71 16
2.1 9, 15, 17, 21, 25, 27, 29, 35, 41, 43, 45, 51, 63, 67, 71, 73, 75, 77, 87, 101, 119, 121, 123, 127, 129 25
2.2 3, 11, 13, 21, 29, 35, 41, 43, 45, 49 10
2.3 7, 11, 27, 35, 37, 43, 49, 53, 57, 75, 77, 79, 81, 93, 103, 111, 115 17
2.4 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39 16
2.5 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53 12
3.1 1, 3, 7, 13, 15, 17, 19 7 3, 7
3.2 1, 5, 9, 13, 17, 21, 25, 27, 29, 31, 33, 35, 37, 39, 41 15 27, 29, 31, 33, 35, 37, 39, 41
3.3 1, 3, 5, 7, 13, 15, 17, 21, 23, 25 10
3.4 11, 17, 23, 29, 33, 35, 37, 41, 43, 45, 47, 49, 51, 53 14
3.5 3, 7, 9, 19, 21, 23, 25, 27, 37, 39, 43, 45, 47, 49, 53, 57, 65, 67, 69, 71 20 37, 39, 43, 45, 47
3.6 5, 9, 13, 17, 21, 25, 29, 31, 33, 35, 39, 45, 47, 51, 55, 61, 63, 65 18 51, 55
3.7 7, 11, 15, 21, 23, 25, 29, 31, 35, 39, 43, 45, 47 13 29, 31, 35, 39
3.8 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 27, 29, 31, 35, 39, 43, 47, 49 19 27, 29
3.9 1, 3, 5, 11, 13, 15, 17, 19, 23, 25, 27, 29 12 1, 3, 5, 11, 13, 15, 17, 19, 23, 25, 27, 29
4.1 13, 15, 17, 23, 25, 27, 29, 31, 33, 43, 45, 47, 49 13 23, 25, 27, 29, 31, 33
4.2 11, 17, 23, 29, 35, 41, 47, 53, 59, 61, 65, 69, 73 13
4.3 7, 9, 11, 15, 19, 25, 29, 31, 35, 39, 41, 43, 45, 47, 49 15
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 logoWeBWorK 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 a 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 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.

Odd (and even) 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-dqjDRbGl2sSeMeTvrHik4p

These 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-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.

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 and Inequalities as TrueFalse Statements 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 Linear 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 TwoVariable Data and Rate of Change PLmuZCPhWPt-dy8SL-jRrCcU2G2ueG9BXb
3.4 Slope PLmuZCPhWPt-ehhIZJSr3Tp7xyA450Od5R
3.5 SlopeIntercept Form PLmuZCPhWPt-cR9nhDJcByg3_HALa8sSwp
3.6 PointSlope Form PLmuZCPhWPt-eTTovr5Y8TossT7tMqR43W
3.7 Standard Form PLmuZCPhWPt-dXhmAoys9lNZg0c3U77LBw
3.8 Horizontal Vertical Parallel and Perpendicular Lines PLmuZCPhWPt-dG-XwuV-W9d_U79oIF6z-R
3.9 Summary of Graphing Lines PLmuZCPhWPt-dSIb9W3SsQGsoWCmjMihcY
4.1 Solving Systems of Linear Equations 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.

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.

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.