# Modeling with Mathematics: A Bridge to Algebra II

## Second EditionNancy Crisler; Gary Simundza; Region IV Educational Service Center; COMAP

©2013## Table of Contents

**1. Mathematical Modeling***What is a Mathematical Model?***2. Direct Variation***How is Mathematics Related to Bungee Jumping?***3. Solving Equations and Inequalities***How Can We Care for Our Forests?***4. Measurement: Perimeter, Area and Volume**

*Why is Package Design Important?*

**5. Functions and Their Representations**

*How Can You Find the Value of an Unknown Quantity?*

**6. Describing Data**

*How Does the Census Help Us Understand Our Country?*

**7. Linear Models from Data**

*What Happened to Amelia Earhart?*

**8. Systems of Equations and Inequalities**

*How Are Business Decisions Made?*

**9. Symmetry and Transformations**

*How Do Archaeologists Use Mathematics to Study Past Civilizations?*

**10. Exponential Functions**

*Will the World Have Enough Water?*

**11. Quadratic Functions**

*Is it a Parabola?*

**12. Indirect Measurement**

*How Can You Determine the Height of a Model Rocket?*

**13. Periodic Functions and Sound**

*How Are Music and Repeated Motion Related?*

**14. Probability**

*What Are the Chances?*

**15. The Mathematics of Personal Finance**

*How Much Do I Need to Cover My Personal Expenses?*

**Appendices:** Fractions, Decimals, Ratio, Proportions, Percents as Fractions and Decimals, Percent Calculations, Absolute Value, Order of Operations, Operations with Positive and Negative Numbers, Properties of Real Numbers, Scientific Notation, Solving One- and Two-step Equations, Simplifying Radicals, Mean, Median, Mode, and Range, Coordinate Plane, Square Roots