Basic College Mathematics

© 2015
by Julie Miller, Molly O'neill, Nancy Hyde

3rd Edition 784 Pages Paperback / softback
9780073384412 0073384410
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  • Description
  • Table of Contents
  • Features
Get Better Results with high quality content, exercise sets, and step-by-step pedagogy! The Miller/O'Neill/Hyde author team continues to offer an enlightened approach grounded in the fundamentals of classroom experience in Basic College Mathematics. The text reflects the compassion and insight of its experienced author team with features developed to address the specific needs of developmental level students. Throughout the text, the authors communicate to students the very points their instructors are likely to make during lecture, and this helps to reinforce the concepts and provide instruction that leads students to mastery and success. Also included are Problem Recognition Exercises, designed to help students recognize which solution strategies are most appropriate for a given exercise. These types of exercises, along with the number of practice problems and group activities available, permit instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills. In this way, the book perfectly complements any learning platform, whether traditional lecture or distance-learning; its instruction is so reflective of what comes from lecture, that students will feel as comfortable outside of class as they do inside class with their instructor.

Basic College Mathematics, 3rd Edition

1 Whole Numbers

1.1 Introduction to Whole Numbers
1.2 Addition of Whole Numbers and Perimeter
1.3 Subtraction of Whole Numbers
1.4 Rounding and Estimating
1.5 Multiplication of Whole Numbers and Area
1.6 Division of Whole Numbers
PRE: Operations on Whole Numbers
1.7 Exponents, Square Roots, and the Order of Operations
1.8 Problem Solving Strategies
Group Activity: Becoming a Successful Student

2 Fractions and Mixed Numbers: Multiplication and Division


2.1 Introduction to Fractions and Mixed Numbers
2.2 Prime Numbers and Factorisations
2.3 Simplifying Fractions to Lowest Terms
2.4 Multiplication of Fractions and Applications
2.5 Division of Fractions and Applications
PRE: Multiplication and Division of Fractions
2.6 Multiplication and Division of Mixed Numbers
Group Activity: Cooking for Company

3 Fractions and Mixed Numbers: Addition and Subtraction


3.1 Addition and Subtraction of Like Fractions
3.2 Least Common Multiple
3.3 Addition and Subtraction of Unlike Fractions
3.4 Addition and Subtractions of Mixed Numbers
PRE: Operations on Fractions and Mixed Numbers
3.5 Order of Operations and Applications of Fractions and Mixed Numbers
Group Activity: Card Games with Fractions

4 Decimals


4.1 Decimal Notation and Rounding
4.2 Addition and Subtraction of Decimals
4.3 Multiplication of Decimals
4.4 Division of Decimals
PRE: Operations on Decimals
4.5 Fractions as Decimals
4.6 Order of Operations and Applications of Decimals Group Activity: Purchasing from a Catalog

5 Ratio and Proportion


5.1 Ratios
5.2 Rates and Unit Cost
5.3 Proportions
PRE: Operations on Fractions versus Solving Proportions
5.4 Applications of Proportions and Similar Figures
Group Activity: Investigating Probability

6 Percents


6.1 Percents and Their Fraction and Decimal Forms
6.2 Fractions and Decimals and Their Percent Forms
6.3 Percent Proportions and Applications
6.4 Percent Equations and Applications
PRE: Percents
6.5 Applications Involving Sales Tax, Commission, Discount, and Markup
6.6 Percent Increase and Decrease
6.7 Simple and Compound Interest
Group Activity: Credit Card Investment

7 Measurement


7.1 Converting US Customary Units of Length
7.2 Converting US Customary Units of Time, Weight, and Capacity
7.3 Metric Units of Length
7.4 Metric Units of Mass and Capactiy and Medical Applications
PRE: US Customary and Metric Conversions
7.5 Converting Between US Customary and Metric Units
Group Activity: Remodeling the Classroom

8 Geometry


8.1 Lines and Angles
8.2 Triangles and the Pythagorean Theorem
8.3 Quadrilaterals, Perimeter, and Area
8.4 Circles, Circumference, and Area
PRE: Area, Perimeter, and Circumference
8.5 Volume
Group Activity: Constructing a Golden Rectangle

9 Introduction to Statistics


9.1 Tables, Bar Graphs, Pictographs, and Lines Graphs
9.2 Frequency Distributions and Histograms
9.3 Circle Graphs
9.4 Mean, Median, and Mode
9.5 Introduction to Probability
Group Activity: Creating a Statistical Report

10 Real Numbers


10.1 Real Numbers and the Real Number Line
10.2 Addition of Real Numbers
10.3 Subtraction of Real Numbers
PRE: Addition and Subtraction of Real Numbers
10.4 Multiplication and Division of Real Numbers
PRE: Operations on Real Numbers
10.5 Order of Operations
Group Activity: Checking Weather Predictions

11 Solving Equations


11.1 Properties of Real Numbers
11.2 Simplifying Expressions
11.3 Addition and Subtraction Properties of Equality
11.4 Multiplication and Division Properties of Equality
11.5 Solving Equations with Multiple Steps
PRE: Equations versus Expressions
11.6 Applications and Problem Solving
Group Activity: Deciphering a Coded Message

Additional Topics Appendix


A.1 Energy and Power
A.2 Scientific Notation
A.3 Rectangular Coordinate System
New to this Edition

SmartBook is the first and only adaptive reading experience available for the higher education market. Powered by an intelligent diagnostic and adaptive engine, SmartBook facilitates the reading process by identifying what content a student knows and doesn't know through adaptive assessments. As the student reads, the reading material constantly adapts to ensure the student is focused on the content he or she needs the most to close any knowledge gaps.

LearnSmart is an adaptive self-study technology that provides students with a seamless combination of practice, assessment, and remediation for every concept in the textbook. LearnSmart's intelligent software adapts to every student response and automatically delivers concepts that advance student understanding while reducing time devoted to the concepts already mastered. The result for every student is the fastest path to mastery of the chapter concepts.

The Student Resource Manual (SRM), created by the authors, is a printable, electronic supplement available to students through Connect Math hosted by ALEKS. Instructors can also choose to customize this manual and package with their course materials. With increasing demands on faculty schedules, this resource offers a convenient means for both full-time and adjunct faculty to promote active learning and success strategies in the classroom. The SRM has NEW group activities, guided lecture notes, and problem recognition exercise worksheets.

Avoiding Mistakes boxes are integrated throughout the text to alert students to common errors and how to avoid them.


Retained Features

Connect Math hosted by ALEKS is an exciting new assignment and assessment eHomework platform. Instructors can assign an AI-driven ALEKS Assessment to identify the strengths and weaknesses of each student at the beginning of the term rather than after the first exam. Assignment creation and navigation is efficient and intuitive. The gradebook, based on instructor feedback, has a straightforward design and allows flexibility to import and export additional grades.

ALEKS is a unique online program that significantly raises student proficiency and success rats in mathematics, while reducing faculty workload and office-hour lines. ALEKS uses artificial intelligence and adaptive questioning to assess precisely a student's knowledge and deliver individual learning tailored to the student's needs. With a comprehensive library of math courses, ALEKS delivers an unparalleled adaptive learning system that has helped millions of students achieve math success.

Julie Miller constructed a series of Flash animations to illustrate difficult concepts where static images and text fall short. The animations leverage the use of on-screen movement and morphing shapes to give students an interactive approach to conceptual learning. Some provide a virtual laboratory for which an application is simulated and where students can collect data points for analysis and modeling. Others provide interactive question-and-answer sessions to test conceptual learning.

Problem Recognition exercise sets are designed to help students recognise the difference between types of problems that appear to be similar but are indeed different and require different approaches. Because teachers usually cover only one process at a time, often the students will see a combination of topics for the first time on a test. These Problem Recognition Exercises combine similar topics to give students practice in identifying what to do as well as how to do it. We've included one or more Problem Recognition Exercise sets in each chapter.

Each chapter concludes with a Group Activity selected by objective to promote classroom discussion and collaboration, helping students not only to solve problems but to explain their solutions for better mathematical mastery. Group Activities are great for instructors and adjuncts--bringing a more interactive approach to teaching mathematics!

Worked examples in the text offer a clear, concise methodology that replicates the mathematical processes used in the authors classroom lectures. Many multi-part sets and examples have been split up to make viewing the solutions easier.

Real-world applications have been developed to include focus on current events. The authors have broadened the scope of the applications by enlisting the help of the Board of Advisors to seek out new and interesting applications.

For each example in the text, we reference an even-numbered exercise from the end-of-section exercises, to be used as a Classroom Example. These exercises are highlighted in the practice set at the end of each section and mirror the related example. If an instructor presents all of the highlighted exercises in class as examples, then every objective of that section will be covered. This is especially helpful for new instructors, adjunct instructors, and graduate assistants. By using exercises in the text, students will not waste valuable class time copying down complicated classroom examples from the board.

The Chapter openers are engaging puzzle that require students to review the skills needed to be successful in the chapter.

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