Algebra Foundations: Prealgebra, Introductory Algebra, & Intermediate Algebra
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Overview
Description
Elayn Martin-Gay's developmental math program is motivated by her firm belief that every student can succeed. The new All in One, Algebra Foundations: Prealgebra, Introductory Algebra, & Intermediate Algebra, offers everything needed to teach the full developmental math sequence in one flexible course solution.Martin-Gay's focus on the student shapes her clear, accessible writing, inspires her constant pedagogical innovations, and contributes to the popularity and effectiveness of her video resources. This new All in One continues her focus on students and what they need to be successful.
This program provides a better teaching and learning experience, for you and your students. Here’s how:
- The new Martin-Gay Student Success Program provides an integrated teaching and learning system–combining the textbook, MyLab™ Math, student and video organizers, and the video program–which is designed to help students gain the math and study skills they need for success in developmental math and beyond.
- An All in One solution with print support: this All-in-One Algebra Foundations has everything for Prealgebra, Introductory Algebra, and Intermediate Algebra in one easy-to-use solution. In addition to a full eText in MyLab Math, two printed options are available to provide additional support.
Features
The Martin-Gay All in One developmental math program offers a variety of print and digital resources so instructors can build the ideal learning solution for their students.
Martin-Gay’s Student Success program is motivated by Elayn’s firm belief that every student can succeed. This integrated learning system combines the textbook, MyLab™ Math, student and video organizers, and the video program, and is designed to help students gain the math and study skills needed for success in developmental math and beyond.
- The Ready to Go MyLab Math course provides students with all the same great MyLab Math features, but make it easier for instructors to started. Each course includes pre-assigned homework and quizzes to make creating a course even easier. The Martin-Gay course provides a stepped-out learning path for students that integrates the textbook, videos, and Video Organizer to help ensure that students are using all resources.
- For this All in One course, one MyLab Math Code covers all three developmental mathematics courses.
- All videos in the video program are presented by Elayn Martin-Gay to ensure 100% consistency with the text, and are available in both MyLab Math and on the Interactive DVD Lecture Series. The following types of videos are available:
- A complete lecture for each section of the text highlights key examples and exercises. New “pop-ups” reinforce key terms, definitions, and concepts while Martin-Gay presents the material.
- Interactive Concept Checks measure students’ understanding of key concepts and common trouble spots. After the viewer selects an answer from several multiple-choice options, Martin-Gay explains why the answer is correct or incorrect.
- The Chapter Test Prep Videos help students during their most teachable moment–when they are preparing for a test. This Martin-Gay innovation provides step-by-step solutions for the exercises found in each Chapter Test. Complete solutions on video for all exercises from the Practice Final Exam (located in Student Resources) help students prepare for the real thing. Overview segments review key problem-solving strategies.
- The Student Success Tips Videos are 3- to 5-minute video segments designed to be a daily reminder to students to continue practicing and maintaining good organizational and study habits. These are organized in three categories and are available in MyLab Math and the Interactive Lecture Series. The categories are:
- Student Success Tips Videos that apply to any course in college in general, such as Time Management.
- Student Success Tips Videos that apply to any mathematics course. One example is based on understanding that mathematics is a course that requires homework to be completed in a timely fashion.
- Section- or Content-specific Student Success Tips Videos that help students avoid common mistakes or better understand concepts that often prove challenging.
The textbook, available in print (through Pearson Learning Solutions) or digital format, is the keystone of the Martin-Gay program. Elayn Martin-Gay is known for her accessible writing style and for the depth of resources she provides for instructors and students in her texts.
- Detailed step-by-step examples provide guidance for students.
- Practice exercises are paired with each example to actively involve students in the learning process.
- Concept Checks throughout the text allow students to gauge their grasp of an idea as it is presented in the text. By stressing conceptual understanding at point-of-use, the Concept Checks help prevent misconceived notions for important topics.
- Several special types of exercises throughout the text give students the practice they need: Vocabulary, Readiness and Video Checks; Guided Applications; Mixed Practice; Concept Extension; and more!
- Martin-Gay’s presentation of Study Skills ensures that students make the most of their valuable study time in order to help them succeed in this course. In-text study skills resources include Section 1.1, Tips for Success in Mathematics and the Student Resources sectionlocated in the back of the book.
- End-of-chapter material offers students a wealth of review- and retention-oriented material to reinforce the concepts presented in current and previous chapters.
An All in One solution with print support: this All-in-One Algebra Foundations has everything for Prealgebra, Introductory Algebra, and Intermediate Algebra in one easy-to-use solution. In addition to a full eText in MyLab Math, two printed options are available to provide additional support.
- The Video Organizer is designed to help students take notes and work practice exercises while watching the Interactive lecture series (available in MyLab Math and on DVD).
- All content in the Video Organizer is presented in the same order as it is presented in the videos, making it easy for students to create a course notebook and build good study habits.
- The Organizer provides ample space for students to write down key definitions and rules.
- The Video Organizer is available in loose-leaf, notebook-ready format and is also available in v.
- Includes an outline for use with the new Student Success Tip videos
- A complete eText is included in the MyLab Math course. Instructors who want to provide a printed book for their students can order this through Pearson Learning Solutions.
Table of Contents
1. The Whole Numbers
1.1 Study Skill Tips for Success in Mathematics
1.2 Place Value, Names for Numbers, and Reading Tables
1.3 Adding and Subtracting Whole Numbers, and Perimeter
1.4 Rounding and Estimating
1.5 Multiplying Whole Numbers and Area
1.6 Dividing Whole Numbers
Integrated Review–Operations on Whole Numbers
1.7 Exponents and Order of Operations
1.8 Introduction to Variables, Algebraic Expressions, and Equations
2. Integers and Introduction to Solving Equations
2.1 Introduction to Integers
2.2 Adding Integers
2.3 Subtracting Integers
2.4 Multiplying and Dividing Integers
Integrated Review–Integers
2.5 Order of Operations
2.6 Solving Equations: The Addition and Multiplication Properties
3. Solving Equations and Problem Solving
3.1 Simplifying Algebraic Expressions
3.2 Solving Equations: Review of the Addition and Multiplication Properties
Integrated Review–Expressions and Equations
3.3 Solving Linear Equations in One Variable
3.4 Linear Equations in One Variable and Problem Solving
4. Fractions and Mixed Numbers
4.1 Introduction to Fractions and Mixed Numbers
4.2 Factors and Simplest Form
4.3 Multiplying and Dividing Fractions
4.4 Adding and Subtracting Like Fractions, Least Common Denominator, and Equivalent Fractions
4.5 Adding and Subtracting Unlike Fractions
Integrated Review–Summary on Fractions and Operations on Fractions
4.6 Complex Fractions and Review of Order of Operations
4.7 Operations on Mixed Numbers
4.8 Solving Equations Containing Fractions
5. Decimals
5.1 Introduction to Decimals
5.2 Adding and Subtracting Decimals
5.3 Multiplying Decimals and Circumference of a Circle
5.4 Dividing Decimals
Integrated Review–Operations on Decimals
5.5 Fractions, Decimals, and Order of Operations
5.6 Solving Equations Containing Decimals
5.7 Decimal Applications: Mean, Median, and Mode
6. Ratio, Proportion, and Percent
6.1 Ratio and Proportion
6.2 Percents, Decimals, and Fractions
6.3 Solving Percent Problems with Equations
6.4 Solving Percent Problems with Proportions
Integrated Review–Ratio, Proportion, and Percent
6.5 Applications of Percent
6.6 Percent and Problem Solving: Sales Tax, Commission, and Discount
6.7 Percent and Problem Solving: Interest
7. Graphs and Triangle Applications
7.1 Reading Pictographs, Bar Graphs, Histograms, and Line Graphs
7.2 Reading and Drawing Circle Graphs
Integrated Review–Reading Graphs
7.3 Square Roots and the Pythagorean Theorem
7.4 Congruent and Similar Triangles
7.5 Counting and Introduction to Probability
8. Geometry and Measurement
8.1 Lines and Angles
8.2 Perimeter
8.3 Area, Volume, and Surface Area
Integrated Review–Geometry Concepts
8.4 Linear Measurement
8.5 Weight and Mass
8.6 Capacity
8.7 Temperature and Conversions Between the U.S. and Metric Systems
9. Equations, Inequalities, and Problem Solving
9.1 Symbols and Sets of Numbers
9.2 Properties of Real Numbers
9.3 Further Solving Linear Equations
Integrated Review–Real Numbers and Solving Linear Equations
9.4 Further Problem Solving
9.5 Formulas and Problem Solving
9.6 Linear Inequalities and Problem Solving
10. Graphing
10.1 Reading Graphs and the Rectangular Coordinate System
10.2 Graphing Linear Equations
10.3 Intercepts
10.4 Slope and Rate of Change
Integrated Review–Summary on Slope and Graphing Linear Equations
10.5 Equation of Lines
10.6 Functions
11. Solving Systems of Linear Equations
11.1 Solving Systems of Linear Equations by Graphing
11.2 Solving Systems of Linear Equations by Substitution
11.3 Solving Systems of Linear Equations by Addition
Integrated Review–Solving Systems of Equations
11.4 Solving Systems of Linear Equations in Three Variables
11.5 Systems of Linear Equations and Problem Solving
12. Exponents and Polynomials
12.1 Exponents
12.2 Polynomial Functions and Adding and Subtracting Polynomials
12.3 Multiplying Polynomials
12.4 Special Products
Integrated Review–Exponents and Operations on Polynomials
12.5 Negative Exponents and Scientific Notation
12.6 Dividing Polynomials
12.7 Synthetic Division and the Remainder Theorem
13. Factoring Polynomials
13.1 The Greatest Common Factor and Factoring by Grouping
13.2 Factoring Trinomials of the Form x2 + bx + c
13.3 Factoring Trinomials of the Form ax2 + bx + c and Perfect Square Trinomials
13.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping
13.5 Factoring Binomials
Integrated Review–Choosing a Factoring Strategy
13.6 Solving Quadratic Equations by Factoring
13.7 Quadratic Equations and Problem Solving
14. Rational Expressions
14.1 Rational Functions and Simplifying Rational Expressions
14.2 Multiplying and Dividing Rational Expressions
14.3 Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator
14.4 Adding and Subtracting Rational Expressions with Unlike Denominators
14.5 Solving Equations Containing Rational Expressions
Integrated Review–Summary on Rational Expressions
14.6 Problem Solving with Proportions and Rational Equations
14.7 Simplifying Complex Fractions
15. More on Functions and Graphs
15.1 Graphing and Writing Linear Functions
15.2 Reviewing Function Notation and Graphing Nonlinear Functions
Integrated Review–Summary on Functions and Equations of Lines
15.3 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions
15.4 Variation and Problem Solving
16. Inequalities and Absolute Value
16.1 Compound Inequalities
16.2 Absolute Value Equations
16.3 Absolute Value Inequalities
Integrated Review–Solving Compound Inequalities and Absolute Value Equations and Inequalities
16.4 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities
17. Rational Exponents, Radicals, and Complex Numbers
17.1 Radicals and Radical Functions
17.2 Rational Exponents
17.3 Simplifying Radical Expressions
17.4 Adding, Subtracting, and Multiplying Radical Expressions
17.5 Rationalizing Denominators and Numerators of Radical Expressions
Integrated Review–Radicals and Rational Exponents
17.6 Radical Equations and Problem Solving
17.7 Complex Numbers
18. Quadratic Equations and Functions
18.1 Solving Quadratic Equations by Completing the Square
18.2 Solving Quadratic Equations by the Quadratic Formula
18.3 Solving Equations by Using Quadratic Methods
Integrated Review–Summary on Solving Quadratic Equations
18.4 Nonlinear Inequalities in One Variable
18.5 Quadratic Functions and Their Graphs
18.6 Further Graphing of Quadratic Functions
19. Exponential and Logarithmic Functions
19.1 The Algebra of Functions: Composite Functions
19.2 Inverse Functions
19.3 Exponential Functions
19.4 Exponential Growth and Decay Functions
19.5 Logarithmic Functions
19.6 Properties of Logarithms
Integrated Review–Functions and Properties of Logarithms
19.7 Common Logarithms, Natural Logarithms, and Change of Base
19.8 Exponential and Logarithmic Equations and Problem Solving
20. Conic Sections
20.1 The Parabola and the Circle
20.2 The Ellipse and the Hyperbola
Integrated Review–Graphing Conic Sections
20.3 Solving Nonlinear Systems of Equations
20.4 Nonlinear Inequalities and Systems of Inequalities
21. Sequences, Series, and the Binomial Theorem
21.1 Sequences
21.2 Arithmetic and Geometric Sequences
21.3 Series
Integrated Review–Sequences and Series
21.4 Partial Sums of Arithmetic and Geometric Sequences
21.5 The Binomial Theorem
Appendices
Appendix A Tables
A.1 Table of Geometric Figures
A.2 Table of Percents, Decimals, and Fraction Equivalents
A.3 Table on Finding Common Percents of a Number
A.4 Table of Squares and Square Roots
A.5 Geometric Formulas
Appendix B Review of Algebra Topics
B.1 Equations (Linear and Quadratic Solved by Factoring)
B.2 Mixture and Uniform Motion Problem Solving
B.3 Graphing
B.4 Polynomials and Factoring
B.5 Rational Expressions
Appendix C. Stretching and Compressing Graphs of Absolute Value Functions
Appendix D. An Introduction to Using a Graphing Utility
Appendix E. Solving Systems of Equations by Matrices
Appendix F. Solving Systems of Equations by Determinants
Student Resources
Study Skills Builders
Bigger Picture-Study Guide Outline
Practice Final Exam
Resources
Instructor Resources
Algebra Foundations: Prealgebra, Introductory Algebra, & Intermediate Algebra -- Instant Access (12 Weeks)
MyLab Math with eBook -- 24 Month Instant Access -- for Algebra Foundations: Prealgebra, Introductory & Intermediate Algebra
TestGen Computerized Test Bank for Algebra Foundations: Prealgebra, Introductory & Intermediate Algebra
Annotated Instructor's Edition for Algebra Foundations: Prealgebra, Introductory Algebra, & Intermediate Algebra
Instructor's Resource Manual (Download only) for Algebra Foundations: Prealgebra, Introductory & Intermediate Algebra
Instructor's Solutions Manual ( Download Only) for Algebra Foundations: Prealgebra, Introductory & Intermediate Algebra
Powerpoints for Algebra Foundations: Prealgebra, Introductory & Intermediate Algebra
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Important: To use the test banks below, you must download the TestGen software from the TestGen website. If you need help getting started, read the tutorials on the TestGen site.
TestGen Computerized Test Bank for Algebra Foundations: Prealgebra, Introductory & Intermediate Algebra
Instructor's Resource Manual (Download only) for Algebra Foundations: Prealgebra, Introductory & Intermediate Algebra
Instructor's Solutions Manual ( Download Only) for Algebra Foundations: Prealgebra, Introductory & Intermediate Algebra
Powerpoints for Algebra Foundations: Prealgebra, Introductory & Intermediate Algebra
Discipline Resources
Basic Math Review Card, 2nd Edition
Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Basic Math Review Card, 2nd Edition
Pearson Education
©2006
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| ISBN-13: | 9780321394767 | |
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Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Pirich & Bigliani
©1997
| 208 pp
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