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Step-By-Step Instructions

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Module #5 Algebra Through Modeling With The TI-83 family of Graphing Calculators
We estimate that the work for this module will take participating teachers an average of about 25 hours to complete with a range of about 20 to 30 hours. Technically, you have a 3-month enrollment period to complete the module after you enroll. However, we recommend that you complete the module in eight weeks or less. That should easily be possible even when you are teaching if you set aside three or four hours each week to work on the module.
STEP #1
If necessary, complete the Basic TI-82 or TI-83, 83+ Calculator Tutorial appropriate for your calculator. These tutorials are available free on the MTL course Modules home page.
For the first part of this module (described in Step 2 below), you will need to use one of these TI calculators or some other graphing calculator to:
1) Enter and evaluate arithmetic expressions and the standard functions.
2) Enter and graph one or more functions on specified windows.
3) Create tables of values of one or more functions over specified ranges of the variable.
If you already know how to do all of these things, you can skip this step and go on to Step 2.
If you are at all unsure of any of these skills, we recommend that you go through the appropriate tutorial until you are comfortable with them.

STEP #2
After you have obtained a copy of the text "Functioning in the Real World" by Gordon, et al, you should read the sample sections in the text for each of the Chapters 1, 2, and 4, and then print and read the Instructor's Notes For Chapters 1, 2, and 4. Then print and complete one of the sample student worksheets (see below) for that chapter.
The sample sections that you should read are:

First Edition:: Sections 1.1 through 1.5 of Chapter 1, Sections 2.2 through 2.6 of Chapter 2, and Sections 4.4 and 4.6 of Chapter 4.

Second Edition: Sections 1.1 through 1.5 of Chapter 1, Sections 2.2 through 2.8 of Chapter 2, and Sections 4.5 through 4.7 of Chapter 4.


It is important to do Step 1 one chapter at a time. That is, after you have read the sample sections of the text and the Reading Notes for that chapter for one of these chapters, review Sample Student Worksheets. Then print and do one of the sample worksheets for each of these three chapters as Assignment 5.1.

If you are enrolled for graduate or continuing education credit, mail the three completed worksheets for Chapters 1, 2, and 4 to:
Tony Peressini
Department of Mathematics
University of Illinois
1409 West Green St.
Urbana, IL 61801
Be sure to make a copy of student worksheets before you mail them

STEP #3
Read the sample text sections for Chapter 3. Then complete the Fitting Data With The TI-82 tutorial.
The sample sections for Chapter 3 are:

First Edition: Sections 3.2 through 3.5.

Second Edition: Sections 3.2 through 3.6

Reading these sections should familiarize you with the basic ideas and terminology of linear, exponential and power regression analysis of two variable data. The calculator tutorial will show you how to carry out regression calculations and displays on the TI-82 calculator in the context of a concrete problem in cancer data analysis. The modifications that are necessary if you are using any other TI-83 family calculator are relatively minor.


Step #4
Review the Sample Student Worksheets for Chapter 3. Then print and do one of the sample worksheets.
The work that you have done in Step 3 will provide the mathematical background and calculator skills to do these worksheets and develop similar ones for your classes.
If you are enrolled for graduate or continuing education credit, mail the completed worksheet for Chapter 3 to the mailing address printed in Step #2.

Step #5
Read the sample text sections and the Instructor's Notes for Difference Equations [Chapters 5 and 6 in the First Edition or Chapters 5 and 12 in the Second Edition] . Review the Sample Student Worksheets for these chapters. Print and complete two of them.
The sample sections are:

First Edition: Sections 5.2 through 5.4, 5.6 and 5.8 of Chapter 5 and Sections 6.1 and 6.2 of Chapter 6.

Second Edition: Sections 5.1, 5.2 and 5.4 of Chapter 5 and Sections 12.1, 12.2 and 12.3 of Chapter 12.

If you are enrolled for graduate or continuing education credit, mail the two completed worksheets for these chapters to the mailing address printed in Step #2.

If you are enrolled as an MTL guest or for continuing education credit, you have just completed the module. Congratulations! Those of you enrolled for continuing education credit will be sent feedback on the three assignments that you were required to submit.

Those of you enrolled for graduate credit still need to complete an approved Final Project. Go to Step 6 to find out how to do that.


Step #6
Complete an approved Final Project consisting of developing and teaching a classroom unit for one of your classes based on one or two sections of the book.
You are given a great deal of latitude in the choice of topic for this unit because we want the choice to reflect your teaching situation and your interests. We require only that the unit is based on the text and that you plan it and teach it as a collaborative learning unit. The unit should be sufficient to support at least one class period but typically should cover two or more class periods.

The sections of the text that you select for your Final Project should typically include at least one section not included among the sample sections reviewed in the previous steps.
After you have selected the sections that you would like to cover and you have some idea of how you want to develop your classroom unit, e-mail a brief summary of your proposed unit to us for review and approval:
algebra@mtl.math.uiuc.edu
Your classroom unit should include a lesson plan and the necessary student worksheets for the unit. If practical, you are also required to teach the unit or part of the unit using the collaborative learning instruction method, and to prepare a brief written evaluation of the unit.

Mail the materials required for the Final Project to the mailing address printed in Step #2. IMPORTANT! Please include electronic versions of your project materials, preferably on a floppy disk in the envelope with the hard copy or otherwise as e-mail attachments.

You are done! The Math Teacher Link instructional staff will review and provide feedback on your assignments and Classroom Project.

 

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