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Overview
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 enhance their learning experience while building confidence in their skills.
- JUST IN TIME SUPPORT built into questions contains direct links to the eTextbook (Read It) and videos (Watch It).
- LEARN IT MODULES address your students’ knowledge gaps with just-in-time instruction that meets their diverse learning styles. Available as an additional resource within questions, Learn Its provide targeted instruction and practice on that topic using narrative, videos and tutorials—all in one place. If the topic is still too challenging, students can choose to continue learning through associated prerequisite Learn Its until they feel confident in their knowledge and preparedness.
- RESPONSIVE QUESTIONS personalize the learning experience for your students by asking them to use their own real data, which provides the variables they will use to answer each question part.
- CONCEPT CHECK questions provide students with short, multi-step videos reviewing key math concepts. Students are required to answer a question after each video to ensure their understanding of each concept.
- EXPANDED PROBLEMS include intermediary steps to guide students to the final answer.
- MASTER IT TUTORIALS break problems down into steps to help guide students through the mathematical process.
- COURSE PACKS are modifiable, ready-to-use assignments built by subject matter experts to help save time.
- CLASS INSIGHTS provide understanding of student knowledge gaps.
- FLEXIBLE USE OF A CALCULATOR: The core exercises do not require calculator usage, although the book has been written to support the use of a scientific calculator.
- EXERCISE SETS include a balance of both applications and skill-based problems developed with a clear level of progression in terms of difficulty level.
- THREE TOOLKITS are included with this edition: the Equation Solving Toolkit, Factoring Toolkit, and Expression Simplifying Toolkit. Integrated throughout the text with visual icons, just-in-time help connects students to the solving techniques and tools used for different problem types. Each Toolkit emphasizes how these fundamental equations are used throughout the course.
- INCREASED EMPHASIS on identifying equation and function types within solving, graphing, and modeling problems. This helps students review previous material and connect it to the current topics.
- CHAPTER PROJECTS enhance critical thinking and 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.
- CRITICAL THINKING FEATURE: Concept Investigations. These directed-discovery activities are ideal as group work during class, incorporated as part of a lecture, or as individual assignments to investigate concepts further. Inserted at key points within the chapter, each Concept Investigation helps students explore patterns and relationships such as the graphical and algebraic representations of the concepts being studied.
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.