Description
Book SynopsisAbout our author
Jay Lehmann has taught for the past 25 years at College of San Mateo, where he received the shiny apple award for excellence in teaching. ?He has presented at over 80 conferences including AMATYC and ICTCM over the past 16 years. Jay is currently the newsletter editor for California Mathematics Council, Community Colleges (CMC3). ?Still young at heart, he plays in a rock band appropriately named the Procrastinistas. Jay has authored several algebra textbooks published by Pearson and has also recently completed a Prestatistics textbook.
In the words of the author:
Before writing my algebra series, it was painfully apparent that my students couldn't relate to the applications in the course. I was plagued with the question, What is this good for? To try to bridge that gap, I wrote some labs, which facilitated my students in collecting data, finding models via curve fitting, and using the models to make estimates and predictions.
Table of Contents
Table of Contents
-
Introduction to Modeling
- 1.1 Variables and Constants
- 1.2 Scatterplots
- 1.3 Exact Linear Relationships
- 1.4 Approximate Linear Relationships
- Taking It to the Lab: Climate Change Lab • Volume Lab • Linear Graphing Lab: Topic of Your Choice
-
Operations and Expressions
- 2.1 Expressions
- 2.2 Operations with Fractions
- 2.3 Absolute Value and Adding Real Numbers
- 2.4 Change in a Quantity and Subtracting Real Numbers
- 2.5 Ratios, Percents, and Multiplying and Dividing Real Numbers
- 2.6 Exponents and Order of Operations
- Taking It to the Lab: Climate Change Lab (continued from Chapter 1) • Stocks Lab
-
Using Slope to Graph Linear Equations
- 3.1 Graphing Equations of the Forms y = mx + b and x = a
- 3.2 Graphing Linear Models; Unit Analysis
- 3.3 Slope of a Line
- 3.4 Using Slope to Graph Linear Equations
- 3.5 Rate of Change
- Taking It to the Lab: Climate Change Lab (continued from Chapter 2) • Workout Lab • Balloon Lab
-
Simplifying Expressions and Solving Equations
- 4.1 Simplifying Expressions
- 4.2 Simplifying More Expressions
- 4.3 Solving Linear Equations in One Variable
- 4.4 Solving More Linear Equations in One Variable
- 4.5 Comparing Expressions and Equations
- 4.6 Formulas
-
Linear Functions and Linear Inequalities in One Variable
- 5.1 Graphing Linear Equations
- 5.2 Functions
- 5.3 Function Notation
- 5.4 Finding Linear Equations
- 5.5 Finding Equations of Linear Models
- 5.6 Using Function Notation with Linear Models to Make Estimates and Predictions
- 5.7 Solving Linear Inequalities in One Variable
- Taking It to the Lab: Climate Change Lab (continued from Chapter 3) • Golf Ball Lab • Rope Lab • Shadow Lab • Linear Lab: Topic of Your Choice
-
Systems of Linear Equations and Systems of Linear Inequalities
- 6.1 Using Graphs and Tables to Solve Systems
- 6.2 Using Substitution to Solve Systems
- 6.3 Using Elimination to Solve Systems
- 6.4 Using Systems to Model Data
- 6.5 Perimeter, Value, Interest, and Mixture Problems
- 6.6 Linear Inequalities in Two Variables; Systems of Linear Inequalities in Two Variables
- Taking It to the Lab: Climate Change Lab (continued from Chapter 5) • Sports Lab • Truck Lab
-
Polynomial Functions and Properties of Exponents
- 7.1 Adding and Subtracting Polynomial Expressions and Functions
- 7.2 Multiplying Polynomial Expressions and Functions
- 7.3 Powers of Polynomials; Product of Binomial Conjugates
- 7.4 Properties of Exponents
- 7.5 Dividing Polynomials: Long Division and Synthetic Division
- Taking It to the Lab: Climate Change Lab (continued from Chapter 6) • Projectile Lab
-
Factoring Polynomials and Solving Polynomial Equations
- 8.1 Factoring Trinomials of the Form x2 + bx + c and Differences of Two Squares
- 8.2 Factoring Out the GCF; Factoring by Grouping
- 8.3 Factoring Trinomials of the Form ax2 + bx + c
- 8.4 Sums and Differences of Cubes; A Factoring Strategy
- 8.5 Using Factoring to Solve Polynomial Equations
- 8.6 Using Factoring to Make Predictions with Quadratic Models
-
Quadratic Functions
- 9.1 Graphing Quadratic Functions in Vertex Form
- 9.2 Graphing Quadratic Functions in Standard Form
- 9.3 Simplifying Radical Expressions
- 9.4 Using the Square Root Property to Solve Quadratic Equations
- 9.5 Solving Quadratic Equations by Completing the Square
- 9.6 Using the Quadratic Formula to Solve Quadratic Equations
- 9.7 Solving Systems of Linear Equations in Three Variables; Finding Quadratic Functions
- 9.8 Finding Quadratic Models
- 9.9 Modeling with Quadratic Functions
- Taking It to the Lab: Climate Change Lab (continued from Chapter 7) • Projectile Lab (continued from Chapter 7) • Projectile Lab (Using a CBR or CBL) • Water Flow Lab • Quadratic Lab: Topic of Your Choice
-
Exponential Functions
- 10.1 Integer Exponents
- 10.2 Rational Exponents
- 10.3 Graphing Exponential Functions
- 10.4 Finding Equations of Exponential Functions
- 10.5 Using Exponential Functions to Model Data
- Taking It to the Lab: Stringed Instrument Lab • Cooling Water Lab • Exponential Lab: Topic of Your Choice
-
Logarithmic Functions
- 11.1 Composite Functions
- 11.2 Inverse Functions
- 11.3 Logarithmic Functions
- 11.4 Properties of Logarithms
- 11.5 Using the Power Property with Exponential Models to Make Predictions
- 11.6 More Properties of Logarithms
- 11.7 Natural Logarithms
- Taking It to the Lab: China and India Populations Lab • Folding Paper Lab • Exponential/Logarithmic Lab:
- Topic of Your Choice
-
Rational Functions
- 12.1 Finding the Domains of Rational Functions and Simplifying Rational Expressions
- 12.2 Multiplying and Dividing Rational Expressions; Converting Units
- 12.3 Adding and Subtracting Rational Expressions
- 12.4 Simplifying Complex Rational Expressions
- 12.5 Solving Rational Equations
- 12.6 Modeling with Rational Functions
- 12.7 Proportions; Similar Triangles
- 12.8 Variation
- Taking It to the Lab: Climate Change Lab (continued from Chapter 9) • Illumination Lab • Boyle’s Law Lab • Estimating 5 Lab
-
Radical Functions
- 13.1 Simplifying Radical Expressions
- 13.2 Adding, Subtracting, and Multiplying Radical Expressions
- 13.3 Rationalizing Denominators and Simplifying Quotients of Radical Expressions
- 13.4 Graphing and Combining Square Root Functions
- 13.5 Solving Radical Equations
- 13.6 Modeling with Square Root Functions
- Taking It to the Lab: Pendulum Lab
-
Sequences and Series
- 14.1 Arithmetic Sequences
- 14.2 Geometric Sequences
- 14.3 Arithmetic Series
- 14.4 Geometric Series
- Taking It to the Lab: Bouncing Ball Lab • Stacked Cups Lab
-
Additional Topics
- 15.1 Absolute Value: Equations and Inequalities
- 15.2 Performing Operations with Complex Numbers
- 15.3 Pythagorean Theorem, Distance Formula, and Circles
- 15.4 Ellipses and Hyperbolas
- 15.5 Solving Nonlinear Systems of Equations
Appendix A. Using a TI-83 or TI-84 Graphing Calculator Appendix B. Using StatCrunch
