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Introductory Algebra, 1/e
K. Elayn Martin-Gay, University of New Orleans, Lakefront
Published August, 1998 by Prentice Hall Engineering/Science/Mathematics
Copyright 1999, 818 pp.
Paper
ISBN 0-13-228834-6
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Beginning Algebra-Mathematics
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For courses in Basic College Mathematics, Introductory Algebra,
and Intermediate Algebra respectively.
This engaging workbook series combines a student-friendly
approach to the concepts of basic math and algebra, giving students
ample opportunity to practice skills and see how those skills relate
to both their lives and the real world. The goals of the worktexts
are to: 1) ensure that students have the most up-to-date, relevant
text preparation for their next math course; 2) enhance students'
perception of math by exposing them to real-life situations through
graphs and applications; and 3) ensure that students have an organized,
integrated learning system at their fingertips. The worktext package
features the text and text-specific supplements, including Martin-Gay's
acclaimed tutorial videotapes.
Real-life applicationsPresents a diverse array
of applicationsmany based on real data from a variety of fieldsthat
are unparalleled in terms of quantity, quality, degree of integration,
nontrivial use of real data, variety of disciplines, and level of
interest.
- Highlights the relevance of math to various careers
and life outside of class.
Ex. See Pg. xiii in Index of Applications.
Concept ChecksFeatures skill-based margin exercises
that allow students to gauge their understanding of a concept as it
is explained in the text.
- Stresses conceptual understanding of topics, helps reinforce
the understanding of concepts and helps squash misconceptions before
students move further into their study.
Ex:
BCM Pg. 120
Intro Pg. 165
Intermediate Pg. 132
Chapter ActivityOffers opportunities for individual
or group projects, forms a hands-on or data-related complement and
extends the concepts in the chapter.
- Requires students to make decisions and interpretations,
and to think and write about algebraboth making them more active
participants in the learning process.
Ex:
BCM Pg. 147
Intro Pg. 175
Intermediate Pg. 151
Integrated ReviewsProvides appropriately placed
mid-chapter reviews that allow students to review and assimilate the
different skills learned separately over several sections before moving
on to related material in the chapter.
- Affords students the opportunity to see mixtures of different
types of problems before they see them on a test.
Ex:
BCM Pg. 127
Intro Pg. 127
Intermediate Pg. 127
Mental Mathematics exercisesOpens most
exercise sets with intuitive warm-ups that reinforce concepts.
- Helps students gain number sense and estimation abilities
while building their confidence to take on the upcoming exercises.
Ex:
BCM Pg. 107
Intro Pg. 105
Intermediate Pg. 121
Focus On: sectionsPresents special-interest
areas throughout each chapter divided into Focus on Study Skills,
Focus on History, Focus on Mathematical Connections, Focus on the
Real World, and Focus on Business and Career.
- Reveals to students the relevance of mathematics through
critical-thinking exercises and group activities.
Ex:
BCM Pg. 154
Intro Pg. 113
Intermediate Pg. 120
Combing Concepts exercisesCloses each
exercise set by requiring students to combine several concepts from
each section.
- Offers students a vehicle to refresh their memories and
gain an overview of valuable skills so that they're better prepared
for tests.
Ex:
BCM Pg. 137
Intro Pg. 116
Intermediate Pg. 126
Internet Excursions in each chapterRequires
students to use the Internet as a data-collection tool to complete
exercises, allowing students first-hand experience with manipulating/working
with real data.
- Extends understanding beyond the classroom and past
the printed page, engaging students in relevant assignments using
today's hottest medium.
Ex:
BCM Pg. 195
Intro Pg. 173
Intermediate Pg. 137
Chapter HighlightsCloses chapters by presenting
key definitions, concepts, and examples.
- Helps students understand and retain what they have learned.
Ex:
BCM Pg. 148
Intro Pg. 176
Intermediate Pg. 152
Classic Martin-Gay pedagogyProvides Chapter Openers,
Pretests, Helpful Hints, Review and Preview exercises, Chapter Reviews,
Cumulative Reviews, and approximately 550 worked examples and 4000
exercises incorporated and influenced by Martin-Gay's hardback series.
- Guides students through apparatus that reinforces and
applies their knowledge to build a solid understanding of essential
concepts. Ex:
BCM Pg. 151
Intro Pg. 179
Intermediate Pg. 163
NCTM and AMATYC StandardsReflects current
standards in Focus On Mathematical Connections, the Four-Step Problem-Solving
Process, Concept Checks and Combining Concepts exercises, Mental Mathematics,
and other features of the text.
- All combine to give instructors opportunities to incorporate
these qualities into the classroom and to make the math more interesting
and meaningful to students.
Ex. Show Preface Walkthrough
Calculator ExplorationsPresents calculator activities,
tips and keystrokes.
- Engages students in current technological tools and
techniques, developing their abilities to understand and use the same
or similar tools in their own careers.
Ex:
BCM Pg. 416
Intro Pg. 461
Intermediate Pg. 432
1. The Whole Numbers.
Place Value and Names for Numbers. Adding Whole Numbers.
Subtracting Whole Numbers. Rounding and Estimating. Multiplying Whole
Numbers. Dividing Whole Numbers. Exponents and Order of Operations.
Introduction to Problem Solving.
2. Multiplying and Dividing Fraction.
Introduction to Fractions and Mixed Numbers. Factors and
Prime Factorization. Simplest Form. Multiplying Fractions. Dividing
Fractions.
3. Adding and Subtracting Fractions.
Adding and Subtracting Like Fractions. Least Common Multiple.
Adding and Subtracting Unlike Fractions. Adding and Subtracting Mixed
Numbers. Order, Exponents, and Order of Operations.
4. Decimals.
Introduction to Decimals. Order and Rounding. Adding and
Subtracting Decimals. Multiplying Decimals. Dividing Decimals. Estimating.
Converting Fractions and Decimals.
5. Ratio and Proportion.
Ratios. Rates. Proportions. Proportion and Problem Solving.
Similar Triangles.
6. Percent.
Introduction to Percent. Percents and Fractions. Solving
Percent Problems and Equations. Solving Percent Problems with Proportions.
Percent and Problem Solving: Percent Increase, Decrease, and Discounts.
Percent and Problem Solving: Sales Tax and Commission. Percent and
Problem Solving: Interest.
7. Statistics and Probability.
Reading Bar Graphs, Line Graphs, and Pictographs. Reading
Circle Graphs. Reading Histograms and Frequency Polygons. Mean, Median,
and Mode. Counting With Tree Diagrams. Introduction to Probability.
8. Measurement.
Length: U.S. and Metric Systems of Measurement. Weight and
Mass. Capacity: U.S. and Metric Systems of Measurement. Temperature.
Conversion between U.S. and Metric Units.
9. Geometry.
Lines and Angles. Plane figures and Solids. Perimeter. Area.
Volume. Square Roots and the Pythagorean Theorem. Congruent Triangles.
10. The Real Numbers.
The Real Number System. Adding Real Numbers. Subtracting
Real Numbers. Multiplying Real Numbers. Dividing Real Numbers. Order
of Operations.
11. Introduction to Algebra.
Introduction to Variables. Solving Equations Using Addition
and Subtraction. Solving Equations Using Multiplication and Division.
Solving Equations Involving Many Steps. Equations and Problem Solving.
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