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An Introduction to the Symbolic Math Guide
Purpose of Symbolic Math Guide (SMG): To help students learn algebra
and some aspects of calculus by guiding them as they develop correct
textbook-like solutions. SMG can be used when a student first learns a
topic or as quick review.
SMG is a tool for learning algebra that provides additional help to support textbooks and teachers.
It is not a powerful computer algebra system that can solve large classes of difficult problems. If
(x + y)
you wish to expand
of the TI-89, TI-92 Plus, Voyage™ 200, TI-Interactive!™, or Derive™.
Features:
•
Work is organized by problem sets. SMG comes with sample problems. Teachers, publishers,
and students can create their own sets.
•
Students work problems by choosing from problem-solving options that SMG provides based
on the problem and the current solution step.
•
Students learn strategy in the absence of arithmetic mistakes and lower level algebra.
•
Students learn to think about math objects, how to classify them, and what transformations
apply to them at various stages of solving problems.
•
The transformations suggested are designed to focus on the new material being learned.
A Brief Guided Tour
You will need:
•
TI-89/TI-92 Plus or Voyage™ 200 with the Advanced Mathematics operating system version
2.08 or higher)
•
Symbolic Math Guide (ver 1.5 or higher).
•
Problem Set Tourps.
Let's start solving problems with Symbolic Math Guide!
1. Press ´ to start the calculator.
2. Press O and highlight Symbolic Math Guide.
3. Press ¸ ¸.
4. Choose Open and then press ¸.
5. Open Tourps, which contains the problems we will use for this guided tour. Note that the
first problem is ready for you to work.
8/14/2003
15
or do other complicated problems, you should use the Home screen
For more info please visit our web site
http://education.ti.com
Page 1 of 10
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Related Manuals for Texas Instruments TI-89
Summary of Contents for Texas Instruments TI-89
- Page 1 The transformations suggested are designed to focus on the new material being learned. A Brief Guided Tour You will need: • TI-89/TI-92 Plus or Voyage™ 200 with the Advanced Mathematics operating system version 2.08 or higher) • Symbolic Math Guide (ver 1.5 or higher).
- Page 2 An Introduction to Symbolic Math Guide MAIN PROCESS: For each step A. Think about what you want to do next. B. Press † to see a list of possible transformations. C. If you see what you want to do, press the corresponding number and follow the instructions. Anticipate the result produced by your choice.
- Page 3 An Introduction to Symbolic Math Guide y ⋅ Problem 2: Simplify monomial Press [ˆ:1] if you haven’t already. 2. Press † and choose A^U • A^V -> A^(U+V). 3. Press ¸ to clean up the previous result. y ⋅ 4. Press the up cursor to go up to the original math object 5.
- Page 4 An Introduction to Symbolic Math Guide Problem 4: Compute the derivative cos x 1. Press † and apply derivative of composition. 2. SMG provides a dialog box which requests definitions for the outside function, f, and the inside function, g. Enter the information or press ƒ for Help (SMG will provide possible choice for the two functions.) Make sure that the choice is the one you want.
- Page 5 An Introduction to Symbolic Math Guide SUBEXPRESSION SELECTION PROCESS: [This information is available under ‰:3. ] A. To start press … or †: enter subexpr selection. B. To move to a smaller part of the object press D. C. To move to an object at the same level press B or A. D.
- Page 6 An Introduction to Symbolic Math Guide − 3x = 4 Problem 6: Solve quadratic equation • Press … to try subexpression selection. Press B followed by A. Press D. Try your own arrow choices. Press … or N to exit subexpression selection. If is selected, how do you select 4? •...
- Page 7 An Introduction to Symbolic Math Guide − 2x Problem 7: Simplify rational expression x − 1 1. Press † and choose factor numerator. 2. Press † and choose divide like factors. Press ¸. 3. Press ˆ:1 to move to the next problem in the current problem set. + x + y + 1 −...
- Page 8 An Introduction to Symbolic Math Guide SMG Feature: To give the student flexibility to handle special situations, SMG allows students to substitute variables for expressions. Select the subexpression to substitute for and press ‰: Substitute 9. Press ¸ to return to the problem. 10.
- Page 9 An Introduction to Symbolic Math Guide − Problem 11: Solve the exponential equation 1. Choose ‡:Substitute. 2. SMG provides a dialog box which requests substitution information.definitions. Enter the information or press ƒ for Help (SMG will provide possible substitution information). Make sure that the choice is the one you want.
- Page 10 An Introduction to Symbolic Math Guide x ⋅sin(x)dx Problem 12: Compute the indefinite integral 1. Press † and choose integration by parts. 2. SMG provides a dialog box which requests f(x) and g’(x). Enter the information or press ƒ for Help (SMG will provide possible choice for f(x) and g’(x)). Make sure that the choice is the one you want.
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