1 Introduction to Problem Solving and Mathematical Models

1.1 The Bookstore

1.2 The Classroom

1.3 Make Me an Offer

1.4 Proportional Reasoning and Scaling

1.5 Fuel Economy

1.6 Florida Heat

1.7 Fill ’er Up

1.8 Mathematical Modeling

1.9 Fund-Raiser Revisited

1.10 Leasing a Copier

1.11 Comparing Energy Costs

1.12 Summer Job Opportunities

1.13. Graphs Tell Stories

1.14. Heating Schedule

2 Linear Function Models and Problem Solving

2.1 How Fast Did You Lose?

2.2 The Snowy Tree Cricket

2.3 Depreciation

2.4 Skateboard Heaven

2.5 Family of Functions

2.6 Predicting Population

2.7 A New Camera

2.8 Body Fat Percentage

2.9 College Tuition

2.10 Measuring Up

2.11 Smartphone Plan Options

2.12 Modeling a Business

2.13 Healthy Lifestyle

2.14 How Long Can You Live?

2.15 Will Trees Grow?

3 Problem Solving with Quadratic and Variation Function Models

3.1 The Amazing Property of Gravity

3.2 Baseball and the Willis Tower

3.3 The Shot Put

3.4 Per Capita Personal Income

3.5 Sir Isaac Newton

3.6 Ups and Downs

3.7 Heat Index

3.8 A Thunderstorm

3.9 The Power of Power Functions

3.10 Diving Under Pressure, or Don’t Hold Your Breath

3.11 Loudness of a Sound

4 Modeling with Exponential and Logarithmic Functions

4.1 Going Shopping

4.2 Take an Additional 20% Off

4.3 Inflation

4.4 The Summer Job

4.5 National Debt

4.6 Population Growth

4.7 Bird Flu

4.8 The Diameter of Spheres

4.9 Walking Speed of Pedestrians

4.10 Walking Speed of Pedestrians, continued

4.11 The Elastic Ball

4.12 Changing Demographics

4.13 Frequency and Pitch

5 Using Geometric Models to Solve Problems

5.1 Walking around Bases, Gardens, Trusses, and Other Figures

5.2 Long-Distance Biking

5.3 Walking around, Revisited

5.4 How Big Is That Circle?

5.5 A New Pool and Other Home Improvements

5.6 How Big Is That Angle?

5.7 Not Exactly the Same

5.8 How about Pythagoras?

5.9 The Leaning Tower of Pisa

5.10 Tessellations

5.11 Painting Your Way through the Summer

5.12 Truth in Labeling

5.13 Analyzing an Ice Cream Cone

5.14 Summertime

5.15 Math in Art

6 Problem Solving with Graphical and Statistical Models

6.1 Visualizing Trends

6.2 Bald Eagle Population

6.3 People and Places

6.4 The Class Survey

6.5 Class Survey continued

6.6 A Switch Decision

6.7 What Is Normal?

6.8 Sampling a Population

6.9 Highway Proposal: Yes or No?

6.10 Statistical Survey

6.11 What’s the Cause?

7 Problem Solving with Probability Models

7.1 Chances Are!

7.2 Choices

7.3 Experimenting with Probabilities

7.4 Conditional Probabilities

7.5 Weather Forecasting

7.6 Selecting and Rearranging Things

7.7 How Many Boys (or Girls)?

8 Problem Solving with Financial Models

8.1 Income and Expenses

8.2 Banking Options

8.3 Time Is Money

8.4 Continuous Compounding

8.5 Saving for Retirement

8.6 Buy or Lease?

8.7 Home Sweet Home

8.8 Renting versus Buying a House

8.9 Buy Now, Pay Later

8.10 Insuring the Future

8.11 The Stock Market

8.12 Which Is the Best Option?

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