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Beginning Algebra: Connecting Concepts through Applications

Clark/Anfinson 지음 | 2019

ISBN 9781337616065 (1337616060)
Author Clark/Anfinson
Copyright 2019
Edition 2E
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Show students how to apply traditional mathematical skills in real-world contexts with BEGINNING ALGEBRA: CONNECTING CONCEPTS THROUGH APPLICATIONS, 2nd Edition. Concepts become real and vivid as authors Clark and Anfinson draw from real data to show students why and how to apply math. Through conceptual explorations, skill building, and applications, this approach helps students master concepts and develop problem solving and communication skills. The authors integrate algebraic techniques, graphing, the use of data in tables, and writing sentences to communicate solutions to application problems. Problems that build strong algebra skills support applications while completing models by hand helps students focus on the characteristics of each function type. Accompanied by WebAssign, your students will be able to continue their learning experience while completing their online homework. Conceptual questions from the text are included and "WatchIts" with closed-captioning gives students another opportunity to both learn and practice skills and concepts through the power of WebAssign.
R. REVIEW OF PREALGEBRA.
Operations with Integers. Operations with Fractions. Prime Numbers and Prime Factorization. Operations with Decimals. Operations with Percents. The Real Number System.
1. BUILDING BLOCKS OF ALGEBRA.
Exponents, Order of Operations, and Properties of Real Numbers. Algebra and Working with Variables. Simplifying Expressions. Graphs and the Rectangular Coordinate System.
2. LINEAR EQUATIONS AND INEQUALITIES WITH ONE VARIABLE.
Addition and Subtraction Properties of Equality. Multiplication and Division Properties of Equality. Solving Equations with Variables on Both Sides. Solving and Graphing Linear Inequalities on a Number Line.
3. LINEAR EQUATIONS WITH TWO VARIABLES.
Graphing Equations with Two Variables. Finding and Interpreting Slope. Slope Intercept Form of Lines. Linear Equations and Their Graphs. Finding Equations of Lines. Modeling Linear Data.
4. SYSTEMS OF LINEAR EQUATIONS.
Identifying Systems of Linear Equations. Solving Systems Using the Substitution Method. Solving Systems Using the Elimination Method. Solving Linear Inequalities in Two Variables Graphically. Systems of Linear Inequalities.
5. EXPONENTS AND POLYNOMIALS.
Rules for Exponents. Negative Exponents and Scientific Notation. Adding and Subtracting Polynomials. Multiplying Polynomials. Dividing a Polynomials.
6. FACTORING AND QUADRATIC EQUATIONS.
What It Means to Factor. Factoring Trinomials. Factoring Special Forms. Solving Quadratic Equations by Factoring.
7. RATIONAL EXPRESSIONS AND EQUATIONS.
The Basics of Rational Expressions and Equations. Multiplication and Division of Rational Expressions. Addition and Subtraction of Rational Expressions. Solving Rational Equations. Proportions, Similar Triangles, and Variation.
8. RADICAL EXPRESSIONS AND EQUATIONS.
From Squaring a Number to Roots and Radicals. Basic Operations with Radical Expressions. Multiplying and Dividing Radical Expressions. Solving Radical Equations.
9. MODELING DATA.
Graphing Quadratic Equations. Solving Quadratic Equations Using the Square-Root Property. Solving Quadratic Equations by Completing the Square and Quadratic Formula. Graphing Quadratic Equations including Intercepts. Working with Quadratic Models. The Basics of Functions.
Appendices.
Geometry Formulas.
Unit Conversions.
Answers to Odd Problems.
Answers to Example Practice Problems.
Show students how to apply traditional mathematical skills in real-world contexts with BEGINNING ALGEBRA: CONNECTING CONCEPTS THROUGH APPLICATIONS, 2nd Edition. Concepts become real and vivid as authors Clark and Anfinson draw from real data to show students why and how to apply math. Through conceptual explorations, skill building, and applications, this approach helps students master concepts and develop problem solving and communication skills. The authors integrate algebraic techniques, graphing, the use of data in tables, and writing sentences to communicate solutions to application problems. Problems that build strong algebra skills support applications while completing models by hand helps students focus on the characteristics of each function type. Accompanied by WebAssign, your students will be able to continue their learning experience while completing their online homework. Conceptual questions from the text are included and "WatchIts" with closed-captioning gives students another opportunity to both learn and practice skills and concepts through the power of WebAssign. There is an increased emphasis on students identifying equation and function types within solving, graphing, and modeling problems. This helps students to review previous material and connect it to the current topics. Students are asked to provide reasons for each step in selected Solving exercises. This helps students to think critically about and explain the solving process. This also connects with the Toolkits that have been integrated throughout the text. Vocabulary short-answer exercises have been added at the start of each exercise set. These help students learn the vocabulary of algebra and improve their communication skills. The Exercise Sets have been updated with new data and current applications to help students see connections between mathematics and the world in which they live. Within WebAssign, there will be expanded problem coverage with an emphasis on conceptual problems, full "WatchIt" coverage with closed-captioning and expanded "MasterIt" coverage with emphasis on conceptual problems. The Annotated Instructor’s Edition will be replaced with a comprehensive Instructor's Manual. Practical tips and classroom examples are provided on how to approach and pace chapters as well as integrate features such as Concept Investigations. In addition, for every example in the student text, there is a different example in the Instructor's Manual, with accompanying answers that can be used for additional in-class practice and/or homework. Pair the Instructor's Manual with the loose-leaf version of the text to create the perfect Instructor's Edition mockup. Prealgebra Review. The text begins with Chapter R, a review of certain prealgebra concepts, topics most necessary for beginning algebra, and other traditional student weak spots. Chapter Projects. To enhance critical thinking, projects can be assigned either individually or as group work. Instructors can choose which projects best suit the focus of their class and give their students the chance to show how well they can tie together the concepts they have learned in that chapter. Some of these projects include online research or activities that students must perform to analyze data and make conclusions. Cumulative Reviews. Cumulative reviews appear after every two chapters, and group together the major topics across chapters. Answers to all the exercises are available to students in the answer appendix.