Work Sheets 

for use with Elementary Mathematical Models by Dan Kalman.

Several work sheets I developed for use in class are listed below. For each one there is a brief description. Click on the link to obtain a copy of the handout I provided to my classes. These documents are all encoded as pdf files, and can be viewed and printed using Adobe acrobat, which is available for free. Download Adobe Acrobat Reader Software

• TI 82 Calculator. This handout outlines the steps necessary to enter, graph, and compute tables for difference equations on the TI-82 Calculator.
• Data Table. This is simply a preprinted table form that students can use to record and analyze number patterns. No Mathwright references.
• Number Patterns 1. This worksheet introduces the student to number sequences and patterns, using position numbers and terms, as a precursor for subscript notation. No Mathwright references.
• Number Patterns 2. This worksheet continues the development started in Number Patterns 1, with subscripts and difference equations. No Mathwright references.
• Number Patterns 3. This worksheet continues the activities of the preceding sheet, emphasizing the use of variables as subscripts. At the very end, there is a brief introduction to the use of the TI82 calculator and to a Mathwright module.
• Lab for Chapter 7. This is a laboratory session for the material in Chapter 7. It is appropriate for use with some Mathwright Modules developed for the course. However, it would also be adaptable for use with calculators. All that you really need to know about the modules is that 1overx is a series of activities to help students understand the graphs of functions of the form y = 1/(x-c) + d.
• Lab for Chapter 9. This is a laboratory session for Chapter 9. The students are directed to use the Mathwright module diffeq. However, it should be adaptable to any other computer or calculator set up for computing terms of a sequence recursively using a difference equation. The instructions guide the students in exploring three Problems in Context problems from Chapter 9.
• Lab for Chapter 12 TI 82 version. or Mathwright version. This lab activity explores the repeated dosage mixed model, and how changing the initial dose or repeated dose amount affects the equilibrium point of the model. The handout is written for use with either TI82 calculators or Mathwright, but it should be easily adaptable to other computational approaches.
• Logistic Growth (Separate instructions and worksheet.) This activity guides students through the creation of several logistic growth models. The instructions tell the students what to do, and the worksheets are used to organize and record the work. I have my students use several copies of the worksheet for this activity. No reference to Mathwright in this worksheet.
• Another Logistic Growth Worksheet. This is an extension of the preceding worksheet related to logistic growth. It summarizes the conclusions given in the book about the long term behavior of logistic growth models, and directs students to apply these results to the models developed in the earlier worksheets. It also guides the students through some explorations of logistic growth models with harvesting. No reference to Mathwright in this worksheet.