1: Introduction to Problem Solving and mathematical models

1.2: The Classroom

Finding Patterns
Pattern Flip (Patterns)

1.4: Proportional Reasoning

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Geometric Probability
Proportions and Common Multipliers

1.5: Fuel Economy

Road Trip (Problem Solving)

1.6: Hot in Texas

Introduction to Functions
Points, Lines, and Equations

1.8: Mathematical Modeling

Pendulum Clock

1.9: Fund-Raiser Revisited

Solving Equations By Graphing Each Side

1.10: Leasing a Copier

Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Two-Step Equations

1.11: Comparing Energy Costs

Solving Formulas for any Variable

1.14: Heating Schedule

Translating and Scaling Functions

2: Linear Function Models and Problem Solving

2.1: How Fast Did You Lose

Trends in Scatter Plots
Slope

2.2: The Snowy Tree Cricket

Linear Functions
Slope-Intercept Form of a Line

2.4: Family of Functions

Translating and Scaling Functions

2.6: Housing prices

Point-Slope Form of a Line

2.7: Body Fat Percentage

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines

2.10: Body Parts

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines

3: Systems of Linear Equations and Inequalities

3.1: Business Checking Account

Cat and Mouse (Modeling with Linear Systems)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Matrices and Special Solutions)

3.2: Modeling a Business

Cat and Mouse (Modeling with Linear Systems)

3.4: How Long Can You Live

Compound Inequalities
Exploring Linear Inequalities in One Variable
Solving Linear Inequalities in One Variable

3.5: Will Trees Grow

Linear Inequalities in Two Variables
Systems of Linear Inequalities (Slope-intercept form)

3.6: Helping Hurricane Victims

Linear Programming

3.7: Healthy Burgers

Linear Programming

4: Problem Solving with Quadratic and the Power Function Models

4.2: Baseball and the Sears Tower

Free-Fall Laboratory

4.3: The Shot Put

Golf Range

4.5: Sir Isaac Newton

Factoring Special Products
Modeling the Factorization of ax²+bx+c
Modeling the Factorization of x²+bx+c
Quadratics in Factored Form

4.6: Ups and Downs

Roots of a Quadratic

4.8: A Thunderstorm

Direct and Inverse Variation

4.10: Speed Limits

Direct and Inverse Variation

4.11: Loudness of a Sound

Rational Functions

5: Modeling with Exponential and Logarithmic Functions

5.1: Going Shopping

Percents and Proportions

5.2: Take and Additional 20% Off

Percent of Change

5.3: Inflation

Exponential Growth and Decay

5.4: The Summer Job

Exponential Functions

5.5: Cellular Phones

Half-life

5.6: Population Growth

Exponential Functions

5.7: Time Is Money

Compound Interest

5.8: Continuous Growth and Decay

Exponential Functions
Exponential Growth and Decay

5.10: The Diameter of Spheres

Circumference and Area of Circles

5.11: Walking Speed of Pedestrians

Circumference and Area of Circles
Fido's Flower Bed (Perimeter and Area)

5.12: Walking Speed of Pedestrians, continued

Area of Parallelograms

5.13: The Elastic Ball

Logarithmic Functions: Translating and Scaling

7: Problem Solving with Graphical and Statistical Models

7.2: Bald Eagle Population

Mascot Election (Pictographs and Bar Graphs)

7.3: The Class Survey

Histograms
Stem-and-Leaf Plots

7.4: The Class Survey Continued

Mean, Median and Mode
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

7.5: Sampling a Population

Polling: City
Polling: Neighborhood

7.6: Highway Proposal: yes or No?

Polling: Neighborhood

7.9: A Switch Decision

Box-and-Whisker Plots

7.10: What Is Normal?

Populations and Samples