Beginning Algebra with Arithmetic Review

Beginning Algebra with Arithmetic Reviewis an activity-based text designed to help students gain a strong conceptual foundation by building connections among topics of mathematics in a meaningful, real-world context. Guided by the instructor and prompted by the text activities, students explore, make conjectures, interpret, discuss, and ultimately find meaning and understanding in basic mathematical principles. Students also are prompted to draw on real-life knowledge and experiences and to develop skills in creating and interpreting graphs, tables, and symbolic expressions. Based on the 18 modules of the award-winningMaricopa Mathematics Modules,this text embodies a thorough implementation of the AMATYC Crossroads Standards and provides a seamless transition from Basic Mathematics through Introductory Algebra. Activities, introduced by short expositions, provide the basis of organization for the text and help instructors develop a daily routine of active student involvement. Data is presented (or student-gathered), models are given (or student-created), and questions are asked which are specifically designed to lead students to a real-world, mathematical connection to the concept. Students learn to use the Rule of Four to express and explore mathematical ideas graphically, numerically, symbolically, and verbally. Graphing calculators are used daily throughout all the modules. Any graphing utility can be used, but it should have data lists, data plotting, and regression capability.

Contents Note: Each chapter ends with a Review. Data and Graphs Lesson 1: May I Take Your Order? Lesson 2: Solving Percent Problems Lesson 3: Would You Like Pie with That? Lesson 4: The Graphing Gourmet Lesson 5: Pie Ala Mode Lesson 6: Waiter, There's a Whisker in My Soup Lesson 7: The Technology Cookbook Lesson 8: Let's Get Cooking Lesson 9: Making the Shopping List Lesson 10: Sampling the Fare Lesson 11: Guest Who's Coming to Dinner Lesson 12: The Project Recipe Lesson 13: Service with a Smile Visual Patterns Lesson 1: Introducing Patterns Lesson 2: Introduction to Tessellations Lesson 3: Angling for Patterns Lesson 4: Translating the Language of Tessellations Lesson 5: Introduction to Polyhedra Lesson 6: Building Polyhedra Beat Ratios and the Juggling Proportion Lesson 1: Juggling and Mathematics Lesson 2: Juggling Timelines Lesson 3: Fractions Lesson 4: Period and Frequency Lesson 5: Unit Analysis and Multiplying Fractions Lesson 6: Phase Shifts Lesson 7: In Sync Lesson 8: Frequencies in Sync Lesson 9: Juggling Schedules Lesson 10: The Juggling Proportion Lesson 11: Work and Adding Fractions Lesson 12: Proportions in Geometry Patterns in Numbers and Equations Lesson 1: Add Integers Lesson 2: Subtract Integers Lesson 3: Multiply and Divide Integers Lesson 4: Arithmetic Identities Lesson 5: Maintaining Equality Lesson 6: Solving Equations Lesson 7: More Solving Equations Lesson 8: Equation Issues Lesson 9: Real Number Properties Linear Behavior Lesson 1: Costs of Higher Education Lesson 2: The Price is Going Up Lesson 3: Body Graphing Lesson 4: A Business Venture Lesson 5: The Bouncing Ball Lesson 6: Shrimp Dinners and Input/Output Machines Lesson 7: Linear Models Lesson 8: Driving Us Crazy Lesson 9: Who Gives a Chirp? Functions Lesson 1: What Is a Function? Lesson 2: Four Representations of a Function Lesson 3: Function Notation Lesson 4: Families of Functions Lesson 5: Composition of Functions Lesson 6: Modeling Data with Functions Lesson 7: Stopping Distance Lesson 8: The Allegory of the Cave Lesson 9: Transformations of Functions Lesson 10: Functions at the Scene of an Accident Lesson 11: Inverse Functions Appendix A: Plato's Allegory of the Cave Algebraic Patterns Lesson 1: Exponents Lesson 2: Properties of Exponents Lesson 3: Multiplying and Dividing with Scientific Notation Lesson 4: Add and Subtract Polynomials Lesson 5: Multiply and Divide Polynomials Lesson 6: Factoring Lesson 7: Pascal's Triangle and Algebraic Patterns