This inexpensive introduction to mathematical models explores mathematics in
the context of real applications that provide meaning and motivation.
Technology is used throughout as a tool to solve problems and investigate
Focuses on content that is consistent with the recommendations
of AMATYC and NCTM. Uses technology routinely throughout.
Uses real-world data.
Covers statistical concepts. Includes directions for the use of student portfolios. Provides problems that require students to do
math not redo it.
Consistently explores problems using symbols, graphs, and
Reviews arithmetic and basic algebra in the context of real
1. Numerical Investigations with Algebraic Models.
Functions-A First Look. Formulas. Investigating the Models.
2. Mathematical Modeling.
3. Statistics-Dealing With Data.
Sampling. Describing Data. Experiments. Groups Discussions
and Work. Line Graphs. Using Technology.
4. Linear Functions.
Relations and Functions. Linear Functions-The Slope. Linear
Functions-Intercepts and Applications. Linear Functions-Finding the
Mean. More on Linear Functions-Applications and Models. Other Functions.
Electronic Spreadsheets-Taking the Pain Out of Functions.
5. More on Statistics-Linear Regression.
Measures of Central Tendency. Standard Deviation. Box and
Whisker Plots. Linear Models of Best Fit. Help! Using Spreadsheets
for Lines of Best Fit.
6. Applications of Linear Equations.
Systems of Linear Equations. Solving Systems of Linear Equations.
Multiple Approaches to Systems of Linear Equations. Matrices-An Introduction.
Matrices and Their Inverse. Linear Programming-Inequalities. Linear
Programming-Introduction. Linear Programming. Linear Programming-More.
7. Applications of Probability.
Introduction to Probability. Area and Probability-Introducing
the Normal Curve. The Normal Curve-An Application of Probability.
The Exponential Function.
1. A Simulation.
2. Calculator Activities.
3. Ratios and Proportions.
4. A Numerical Study of Functions.