Corequisite Resource Notebook for College Algebra MyLab Revision with Corequisite Support

Description

For courses in College Algebra.

Includes MyLab Math.

Prepare. Visualize. Succeed.

College Algebra by Beecher, Penna, and Bittinger is known for helping students “see the math” through a focus on visualization and early introduction to functions. The author team has expanded and enhanced the instruction on review topics needed for today’s corequisite courses, or simply for students who come to the course underprepared. 

The College Algebra MyLab Revision with Corequisite Support offers a complete college algebra MyLab™ Math course with review of key topics from developmental algebra. The authors have built tools specifically for underprepared students – resources that can be used by students independently via videos and notebook, or by instructors through integrating activities and interactive media into the classroom. Ideal either for standard course needs or for courses with students requiring additional preparation, this robust, just-in-time approach to corequisites gives instructors complete flexibility in implementation – no matter how their courses are set up.

Reach every student with MyLab Math 

MyLab™ Math is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student. Learn more about MyLab Math.

The table of contents below shows the review topics (bulleted text) that are integrated into the MyLabTM Math course. The Integrated Review includes worksheets, videos, and other materials designed to help students master these important topics.

Just-In-Time Review

1. Graphs, Functions, and Models

1.1 Introduction to Graphing

1.2 Functions and Graphs

1.3 Linear Functions, Slope, and Applications

1.4 Equations of Lines and Modeling

1.5 Linear Equations, Functions, Zeros, and Applications

1.6 Solving Linear Inequalities

Integrated Review Topics:

• Graphing Linear Functions
• Operations on the Real Numbers
• Order of operations
• Factoring trinomials: ax² + bx + c
• Factoring trinomial squares and differences of squares
• The principle of zero products
• Interval notation
• Solving linear equations
• Solving linear inequalities

2. More on Functions

2.1 Increasing, Decreasing, and Piecewise Functions; Applications

2.2 The Algebra of Functions

2.3 The Composition of Functions

2.4 Symmetry

2.5 Transformations

2.6 Variation and Applications

Integrated Review Topics:

• Interval Notation
• The Pythagorean Theorem
• Simplifying Rational expressions
• Addition and subtraction of polynomials
• Simplifying complex rational expressions

3. Quadratic Functions and Equations; Inequalities

3.1 The Complex Numbers

3.2 Quadratic Equations, Functions, Zeros, and Models

3.3 Analyzing Graphs of Quadratic Functions

3.4 Solving Rational Equations and Radical Equations

3.5 Solving Equations and Inequalities with Absolute Value

Integrated Review Topics:

• Multiplying radical expressions
• Multiplying binomials
• Simplifying radical expressions
• Completing the square
• Factoring trinomials: ax² + bx + c
• Factoring trinomial squares and differences of squares
• The principle of zero products
• Finding the LCM of algebraic expressions
• The principle of powers

4. Polynomial Functions and Rational Functions

4.1 Polynomial Functions and Models

4.2 Graphing Polynomial Functions

4.3 Polynomial Division; The Remainder Theorem and the Factor Theorem

4.4 Theorems about Zeros of Polynomial Functions

4.5 Rational Functions

4.6 Polynomial Inequalities and Rational Inequalities

Integrated Review Topics:

• Introduction to polynomials
• Factoring by grouping
• Operations on the Real Numbers
• Interval Notation

5. Exponential Functions and Logarithmic Functions

5.1 Inverse Functions

5.2 Exponential Functions and Graphs

5.3 Logarithmic Functions and Graphs

5.4 Properties of Logarithmic Functions

5.5 Solving Exponential Equations and Logarithmic Equations

5.6 Applications and Models: Growth and Decay; Compound Interest

Integrated Review Topics:

• Integers as exponents
• Finding logarithms without a calculator

6. Systems of Equations and Matrices

6.1 Systems of Equations in Two Variables

6.2 Systems of Equations in Three Variables

6.3 Matrices and Systems of Equations

6.4 Matrix Operations

6.5 Inverses of Matrices

6.6 Determinants and Cramer’s Rule

6.7 Systems of Inequalities and Linear Programming

6.8 Partial Fractions

Integrated Review Topics:

• Graphing Linear Functions
• Operations on the Real Numbers

7. Conic Sections

7.1 The Parabola

7.2 The Circle and the Ellipse

7.3 The Hyperbola

7.4 Nonlinear Systems of Equations and Inequalities

Integrated Review Topic:

• Completing the square

8. Sequences, Series, and Combinatorics

8.1 Sequences and Series

8.2 Arithmetic Sequences and Series

8.3 Geometric Sequences and Series

8.4 Mathematical Induction

8.5 Combinatorics: Permutations

8.6 Combinatorics: Combinations

8.7 The Binomial Theorem

8.8 Probability

• A singular focus on preparedness in the Digital Revision:
• Integrated Review is incorporated into each course (new for Algebra & Trigonometry and Precalculus, formerly available only for College Algebra). The authors carefully selected the prerequisite topics and created a new video series and resource notebook that focuses on student instruction of these key topics.
• To promote review, the Just-in-Time chapter now precedes Chapter 1 in the eText.
• The Corequisite Resource Notebook corresponds with the integrated review content. The notebook reviews key prerequisite topics, previews upcoming course level material, and provides a variety of classroom activities to solidify mathematical ideas. The Corequisite Resource Notebook is organized as follows:
• REVIEW: 28 prerequisite topic worksheets with guided examples to work through followed by exercises to check comprehension.
• INTERACTIVE PREVIEW: 22 hands-on practice worksheets with introductory examples and exercises of what is coming up in the main book.
• ACTIVITIES: 20 application-based activities organized by topic to enhance classroom time and promote peer-to-peer learning.

• Expanded video series includes new Integrated Review Videos which provide more context for the review concept, and new Just-in-Time Review Videos. Theses videos utilize lightboard technology that creates a personal experience and simulates an in-class environment.  Assignable in MyLab Math.
• Digital enhancements increase students’ ability to learn, visualize, and retain concepts.
• New Set Up and Solve exercises require students to first describe how they will set up and approach the problem. This reinforces conceptual understanding of the process applied in approaching the problem, promotes long term retention of the skill and mirrors what students will be expected to do on a test.
• New Skill Builder offers adaptive practice that is designed to increase students’ ability to complete their assignments. By monitoring student performance on their homework, Skill Builder adapts to each student’s needs and provides just-in-time, in-assignment practice to help them improve their proficiency of key learning objectives.
• New Guided Visualizations bring mathematical concepts to life. These interactive figures help students visualize the concepts through directed explorations and purposeful manipulation. They encourage active learning, critical thinking, and conceptual learning. Guided Visualizations are now available for both the Integrated Review topics, collegiate content, and including all new coverage for Trigonometry. Assignable in MyLab math.
• New Mindset videos and assignable, open-ended exercises are available to foster your students’ growth mindset. This material encourages students to maintain a positive attitude about learning, value their own ability to grow, and view mistakes as a learning opportunity – so often a hurdle for math students. 
• New College Algebra Essentials Video Series covers the essential topics a college algebra student needs to understand to be successful in this course. Videos can be assigned in a MyLab Math homework assignment to remind students of the crucial content before students begin on their exercises.

Judy Beecher has an undergraduate degree in mathematics from Indiana University and a graduate degree in mathematics from Purdue University. She has taught at both the high school and college levels with many years of developmental math and precalculus teaching experience at Indiana University–Purdue University Indianapolis (IUPUI). In addition to her career in textbook publishing, she enjoys traveling, spending time with her grandchildren, and promoting charity projects for a children’s camp.

Judy Penna received her undergraduate degree in mathematics from Kansas State University and her graduate degree in mathematics from the University of Illinois. Since then, she has taught at Indiana University–Purdue University Indianapolis (IUPUI) and at Butler University, and continues to focus on writing quality textbooks for undergraduate mathematics students. In her free time she likes to travel, read, knit and spend time with her children.

Marvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana University–Purdue University Indianapolis (IUPUI), and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. His hobbies include hiking in Utah, baseball, golf, and bowling. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled “Baseball and Mathematics.” In addition, he also has an interest in philosophy and theology, in particular, apologetics. Professor Bittinger currently lives in Carmel, Indiana with his wife Elaine. He has two grown and married sons, Lowell and Chris, and four granddaughters.

NOTE: Before purchasing, check with your instructor to ensure you select the correct ISBN. Several versions of the MyLabTM and MasteringTM platforms exist for each title, and registrations are not transferable. To register for and use MyLab or Mastering, you may also need a Course ID, which your instructor will provide.

Used books, rentals, and purchases made outside of Pearson

If purchasing or renting from companies other than Pearson, the access codes for the MyLab platform may not be included, may be incorrect, or may be previously redeemed. Check with the seller before completing your purchase.

For courses in College Algebra.

Includes MyLab Math.

Prepare. Visualize. Succeed.

College Algebra by Beecher, Penna, and Bittinger is known for helping students “see the math” through a focus on visualization and early introduction to functions. The author team has expanded and enhanced the instruction on review topics needed for today’s corequisite courses, or simply for students who come to the course underprepared.

The College Algebra MyLab Revision with Corequisite Support offers a complete college algebra MyLab Math course with review of key topics from developmental algebra. The authors have built tools specifically for underprepared students – resources that can be used by students independently via videos and notebook, or by instructors through integrating activities and interactive media into the classroom. Ideal either for standard course needs or for courses with students requiring additional preparation, this robust, just-in-time approach to corequisites gives instructors complete flexibility in implementation – no matter how their courses are set up.

Personalize learning with MyLab Math

By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student.

0135266408 / 9780135266403 MyLab Math with Pearson eText – Standalone Access Card – for College Algebra MyLab Revision with Corequisite Support

Package consists of:

• 0135301548 / 9780135301548 MyLab Math – Access Card – for College Algebra MyLab Revision with Corequisite Support
• 0321737334 / 9780321737335 MML Course Tools for CourseCompass

Reach every student with MyLab Math 

MyLab™ Math is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student. Learn more about MyLab Math.

PREPAREDNESS: Beecher/Penna/Bittinger’s MyLab Revision with Corequisite Support offers a complete college algebra MyLab™ Math course with review of key topics from developmental algebra. The authors carefully selected the prerequisite topics and created a new foundational video series that provides more context and instruction around key review concepts.

• How the Beecher MyLab Math Revision course works to support your corequisite and underprepared students:
• Students complete a Skills Check assignment to pinpoint what they need to review.
• Students who demonstrate mastery of the review topics can move straight into the college-level content.
• Those who require additional review proceed to a personalized homework assignment that allows them to practice just the topics where they struggle the most. Students will also have access to additional instructional materials (new videos, new worksheets and more). 

• Updated – To promote review, the Just-in-Time chapter now precedes Chapter 1 in the eText.
• New – The Corequisite Resource Notebook corresponds with the integrated review content. The notebookreviews key prerequisite topics, previews upcoming college algebra material, and provides a variety of classroom activities to solidify mathematical ideas. The Corequisite Resource Notebook is organized as follows:
• REVIEW:  28 prerequisite topic worksheets with guided examples to work through followed by exercises to check comprehension.
• INTERACTIVE PREVIEW: 22 hands-on practice worksheets with introductory examples and exercises of what is coming up in the main book.
• ACTIVITIES: 20 application-based activities organized by topic to enhance classroom time and promote peer-to-peer learning.
• Revised – Foundational video series provides more context and instruction around key review concepts. These assignable videos utilize lightboard technology that creates a personal experience and simulates an in-class environment. 
• Revised – Digital enhancements increase students’ ability to learn, visualize, and retain concepts.
• New Set Up and Solve exercises require students to first describe how they will set up and approach the problem. This reinforces conceptual understanding of the process applied in approaching the problem, promotes long-term retention of the skill, and mirrors what students will be expected to do on a test.
• New Skill Builder offers adaptive practice that is designed to increase students’ ability to complete their assignments. By monitoring student performance on their homework, Skill Builder adapts to each student’s needs and provides just-in-time, in-assignment practice to help them improve their proficiency of key learning objectives.
• New Guided Visualizations bring mathematical concepts to life. These interactive figures help students visualize the concepts through directed explorations and purposeful manipulation. They encourage active learning, critical thinking, and conceptual learning. Guided Visualizations are now available for both the Integrated Review topics and collegiate content, including all new coverage for Trigonometry. Assignable in MyLab Math.
• New Mindset videos and assignable, open-ended exercises are available to foster your students’ growth mindset. This material encourages students to maintain a positive attitude about learning, value their own ability to grow, and view mistakes as a learning opportunity — so often a hurdle for math students. 
• New College Algebra Essentials Video Series covers the essential topics a college algebra student needs to understand to be successful in this course.  Videos can be assigned in a MyLab Math homework assignment to remind students of the crucial content before students begin on their exercises.

VISUALIZATION: The authors take a visual approach to the course. An early introduction to functions allows for the use of graphs to provide a visual aspect to solving equations and inequalities. In addition, specific features enable students to “see the math” and make connections between concepts.

• New – Guided Visualizations bring mathematical concepts to life. These animated figures help students visualize the concepts through directed explorations and purposeful manipulation. They encourage active learning, critical thinking, and conceptual learning. Guided Visualizations are now available for both the review topics and collegiate content, including all new coverage for Trigonometry. Assignable in MyLab Math.
• Algebraic/Graphical Side-by-Side Examples present the solutions in a two-column format to help students understand the connection between algebraic manipulation and the graphical interpretation.
• Visualizing the Graph exercises help develop students’ ability to make the mental link between different types of equations and their corresponding graphs.
• Connecting the Concepts, a hallmark feature of the text, invites the student to stop and check their understanding of how concepts work together in one section or several sections. Concepts are summarized visually — using graphs, outlines, or charts — so that students deepen their understanding and make connections.

REVIEW: Ongoing review features throughout the text and MyLab reinforce the concepts and help students build understanding.

• New – Activities in the Coreq Notebook not only promote peer-to-peer learning but help solidify mathematical understanding of key topics.
• New – Concept Check exercises.  Found only in the MyLab, these exercises give students the opportunity to assess their grasp of the skills and concepts before they move on.
• Mid-Chapter Review exercises are one-page mixed review sets at logical breaks in the chapter, helping students to reinforce their understanding of the concepts. These exercises are assignable in MyLab Math.
• Vocabulary Review exercises appear in the last section of each chapter, and check students’ understanding of the language of mathematics. These are now assignable in MyLab Math and can serve as reading quizzes.
• Synthesis exercises, included at the end of each exercise set, encourage critical thinking by asking students to apply multiple skills or concepts within a single exercise.
• Review icons refer students to an earlier, related section where they can go to review prerequisite concepts that are needed for the current section.
• Just-In-Time Review: Review of prerequisite algebra topics is presented when students need it most. A set of 25 numbered short review topics creates an efficient review of intermediate algebra topics.
• This feature is placed at the front of the text before Ch 1. Just-In-Time icons are positioned throughout the text next to the example where review of an intermediate algebra topic would be helpful.
• New – Just-in-Time videos utilize lightboard technology that creates a personal experience and simulates an in-class environment.
• The Just-In-Time review topics are assignable in MyLab Math.

About the book

• Functions appear early and are integrated, reflecting the authors’ belief that functions are best taught as a theme of the course and not an isolated topic.
• Functions are introduced in Chapter 1 so that students start the course with a new topic rather than a review of equation-solving that was covered in previous math courses.
• Students will come to understand the concept of a function by being exposed repeatedly to the language, notation, and use of functions throughout the text.

• Classify the Function exercises, appearing in the Skill Maintenance section of the exercise sets, ask students to identify a number of functions by their type (linear, quadratic, rational, etc.). Throughout the text, the variety of functions increases and these exercises become more challenging.
• Technology Connections are optional sections that guide students in the use of the graphing calculator as another way to check problems.

• Zeros, solutions, and x-intercepts are a theme of the text. 
• The authors aim to help students see the connection between the real zeros of the function, the solutions of the associated equation, and the first coordinates of the x-intercepts of the graph. 
• When students develop their understanding of these connections, their probability of success increases for this course.

Reach every student with MyLab Math 

Teach your course your way

• Flexible platform
• Student & Assignment Tagging: The new tagging functionality in MyLab makes it easier for instructors to manage their courses, giving them flexibility to truly teach their course, their way. With student tagging functionality instructors may easily manage assignment delivery, communication and performance data by creating and adding students to tags.  With assignment tagging, instructors may also take action and manage settings for groups of assignments within a course. 
• Preparedness
• Data & analysis

Empower each learner

• Personalized learning
• Motivation

Deliver trusted content

• Course-specific resources and interactive features 
• Conceptual understanding

Additional information

Dimensions	0.80 × 8.50 × 10.75 in
Imprint	Pearson
Format	gen
ISBN-13	09780135299395
ISBN-10	013529939X
Author	Judith A. Beecher, Judith A. Penna, Marvin L. Bittinger
Subjects	mathematics, higher education, Precalculus, College Algebra