Texas Instruments TI-83 Plus User Manual
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Texas Instruments TI-83 Plus User Manual

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ti
7/31/01
TI-83 Plus GeoMaster
Application
Getting Started
Start here
How To...
Draw Objects
Compare Objects
Store Data
Examples
Performing Calculations
Displaying Equations and Coordinates
Comparing Objects
More Information
Quick Reference Guide
Customer Support
Transform Objects
Display Information
Move Objects
© 2001 Texas Instruments
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Summary of Contents for Texas Instruments TI-83 Plus

  • Page 1 Ë Ë TI-83 Plus GeoMaster Application Getting Started Start here How To… Draw Objects Transform Objects Compare Objects Display Information Store Data Move Objects Examples Performing Calculations Displaying Equations and Coordinates Comparing Objects More Information Quick Reference Guide Customer Support 7/31/01 ©...
  • Page 2 Graphing product applications (Apps) are licensed. See the terms of the license agreement for this product. GeoMaster, TI-GRAPH LINK, and TI-Cares are trademarks of Texas Instruments. All other trademarks are the property of their respective owners. TI-83 Plus GeoMaster™ Application Page 2...
  • Page 3 What is the GeoMaster Application? The GeoMaster™ application is a Flash software application that runs on the TI-83 Plus. Using this application, you can draw and transform objects, working with them interactively. The GeoMaster application also allows you to graph equations from the Y= editor and stat plots on the same screen with objects you draw using GeoMaster tools.

  • Page 4: What You Need

    What You Need To install and run the GeoMaster™ application, you need: • A TI-83 Plus calculator with version 1.13 or later of the operating system software to optimize the performance of your calculator and the application . You can download a free copy of the latest operating system software from education.ti.com/softwareupdates.

  • Page 5: Getting Started

    . The information screen is displayed. GeoMastr After you press n, you can press e G to move to the first application name that begins with a G. 3. Press any key to continue. The main screen is displayed. TI-83 Plus GeoMaster™ Application Page 5...
  • Page 6 5. Press ¯ to create the second point and complete the first segment. 6. Move the cursor away from the second point. The second segment is drawn. 7. Press ¯ to create the third point and complete the second segment. TI-83 Plus GeoMaster™ Application Page 6...
  • Page 7 3. Use the arrow keys to move the cursor to one side of the that segment is drawn. Note You must move the cursor to within two pixels of the triangle segment to draw the perpendicular bisector. TI-83 Plus GeoMaster™ Application Page 7...
  • Page 8 Find the intersection point of the perpendicular bisectors. 1. Press V to display the menu bar. 2. Select , and then select DRAW Intersection bisector, and then press ¯. 3. Use the arrow keys to move the cursor to one perpendicular TI-83 Plus GeoMaster™ Application Page 8...
  • Page 9 The center point is the intersection of the perpendicular bisectors. The circle intersects each vertex of the triangle. 1. Press V to display the menu bar. 2. Select , and then select DRAW Circle TI-83 Plus GeoMaster™ Application Page 9...
  • Page 10 4. Use the arrow keys to move the cursor to one of the vertex moves. Press ¯ at the vertex point to complete the points of the triangle. The circle enlarges as the cursor circle. TI-83 Plus GeoMaster™ Application Page 10...
  • Page 11 ¯. 2. Use the arrow keys to move the cursor to a vertex point on Note Select a vertex point other than the one that you used to create the circle. TI-83 Plus GeoMaster™ Application Page 11...
  • Page 12 5. Use the arrow keys to move the point. The circle and the perpendicular bisectors change with respect to the change in the shape of the triangle. TI-83 Plus GeoMaster™ Application Page 12...
  • Page 13 3. Enter a file name, and then press ¯. The drawing is saved as an application variable (AppVar) with the name you entered. 4. Press V to display the menu bar. 5. Select , and then select to clear the screen. FILE Clear All TI-83 Plus GeoMaster™ Application Page 13...
  • Page 14 Move the cursor to the Quit the application. 1. Press V to display the menu bar. 2. Select , and then select . The FILE Quit GeoMaster RUNNING screen is displayed. 3. Select Quit GeoMastr TI-83 Plus GeoMaster™ Application Page 14...
  • Page 15 Now that you have completed the Getting Started example, you can read further to learn more about other GeoMaster™ features. For example, you can: • Draw different types of objects. • Display information about objects. • Transform objects. • Store and clear data. TI-83 Plus GeoMaster™ Application Page 15...

  • Page 16: Starting The Application

    3. Press any key to display the main screen. Note If the GeoMaster™ application is already running, the GeoMaster RUNNING screen is displayed instead of the information screen. From this screen, select to display the main GeoMaster Continue screen. TI-83 Plus GeoMaster™ Application Page 16...

  • Page 17: Quitting The Application

    GeoMaster RUNNING 2. Select Quit GeoMastr Pressing \  returns the cursor to the home screen, but does not quit the application. You can press V to return to Note the main screen. TI-83 Plus GeoMaster™ Application Page 17...
  • Page 18 The following table describes these changes: Setting Change Xmin Xmax Ymin Ymax Grid Turned off Axes Turned off Coordinates Turned on Graphing mode Functional Plots Turned off Equations Turned off Horizontal or G-T display Full TI-83 Plus GeoMaster™ Application Page 18...
  • Page 19 If you have not changed the window settings, the default GeoMaster window settings are still in effect: Xmin = 47, Xmax = 47, Ymin = 31, Ymax = 31. TI-83 Plus GeoMaster™ Application Page 19...
  • Page 20 The following cannot be set at the same time: Xmax 32000 0 > Xmin > 0.01 Ymin 32000 .01 > Xmax > 0 Ymax 32000 0 > Ymin > 0.01 .01 > Ymax > 0 TI-83 Plus GeoMaster™ Application Page 20...
  • Page 21 Cursor Coordinates at the Press a Normal functions cursor graphing key of the graphing location to select a keys are menu. available R S T U V R S T U V TI-83 Plus GeoMaster™ Application Page 21...

  • Page 22: Creating, Saving, And Opening Files

    2. Select a file name from the list, and then press ¯. The file is displayed. Note If the current screen contains objects, the application prompts you to save them to a file. TI-83 Plus GeoMaster™ Application Page 22...

  • Page 23: Saving A File

    If the file you want to append causes the current file to contain more than 200 objects, an insufficient memory message is displayed, and the selected file is not appended to the current file. TI-83 Plus GeoMaster™ Application Page 23...

  • Page 24: Clearing The Screen

    Every object on the screen is Clear All FILE deleted. Warning The GeoMaster™ application does not confirm that you want to delete every object on the screen before performing the task. TI-83 Plus GeoMaster™ Application Page 24...

  • Page 25: Drawing Objects

    4. Press ¯ again or move the cursor away from the point. Drawing a Line 1. Select from the menu. Line DRAW 2. Use the arrow keys to move the cursor where you want to create the first point for the line. TI-83 Plus GeoMaster™ Application Page 25...
  • Page 26 3. Press ¯. 4. Use the arrow keys to move the cursor to the ending point for the segment. 5. Press ¯, and then move the cursor away from the segment. TI-83 Plus GeoMaster™ Application Page 26...

  • Page 27: Drawing A Circle

    2. Use the arrow keys to move the cursor to the beginning point 3. Move the cursor to draw the first segment of the triangle. 4. Press ¯ to place the second point of the triangle. TI-83 Plus GeoMaster™ Application Page 27...

  • Page 28: Drawing A Polygon

    4. Move the cursor to draw the first segment of the polygon. 5. Press ¯ to place the second point. 6. Continue to draw segments, pressing ¯ after each segment is complete to place a point. 7. Press ¯ to complete the polygon. TI-83 Plus GeoMaster™ Application Page 28...
  • Page 29 12). 6. Press ¯, and then move the cursor away from the polygon. Drawing a Ray 1. Select from the menu. DRAW 2. Place the cursor at the endpoint for the ray. TI-83 Plus GeoMaster™ Application Page 29...
  • Page 30 4. Move the cursor away from the beginning point. 5. Use the arrow keys to rotate the vector, if needed. 6. Press ¯, and then move the cursor away from the vector to place the head of the vector. TI-83 Plus GeoMaster™ Application Page 30...

  • Page 31: Drawing An Arc

    3. Press ¯. 4. Move the cursor to the arc’s second point. 5. Press ¯. 6. Move the cursor to the arc’s third point. 7. Press ¯, and then move the cursor away from the arc. TI-83 Plus GeoMaster™ Application Page 31...
  • Page 32 1. Select from the menu. Intersection DRAW 2. Place the cursor on the first object, and then press ¯ to select it. TI-83 Plus GeoMaster™ Application Page 32...
  • Page 33 Detach Point tool. Point on Object 1. Select from the menu. Detach Point DRAW 2. Place the cursor on the point. 3. Press ¯. The point is detached, but is not deleted. TI-83 Plus GeoMaster™ Application Page 33...
  • Page 34 2. Move the cursor to the reference object, and then press 3. Use the arrow keys to move the perpendicular line, if necessary. 4. Press ¯, and then move the cursor away from the line. TI-83 Plus GeoMaster™ Application Page 34...
  • Page 35 The reference object can be one of the following: line segment, polygon side, triangle side, or vector. 1. Select from the menu. Perp Bisector DRAW 2. Select the reference object. The perpendicular bisector is drawn for that object. TI-83 Plus GeoMaster™ Application Page 35...
  • Page 36 Use the Point on Object tool (DRAW menu) to place exterior points on the lines for the angle, if necessary. Use the Intersection tool (DRAW menu) to place a point where the lines intersect. TI-83 Plus GeoMaster™ Application Page 36...
  • Page 37 • length of a line segment • To select the MEAS menu, press T. Note • If the GeoMaster™ menu bar is not displayed, press V. • Press s to exit the menu item that is currently selected. TI-83 Plus GeoMaster™ Application Page 37...
  • Page 38 The GeoMaster™ application denotes a length measurement by placing a u after the value (e.g., 36u). location on the screen, and then press ¯. 3. Use the arrow keys to move the measurement value to any TI-83 Plus GeoMaster™ Application Page 38...
  • Page 39 The GeoMaster application denotes an area measurement by placing a u after the value (e.g., 1066u location on the screen, and then press ¯. 3. Use the arrow keys to move the measurement value to any TI-83 Plus GeoMaster™ Application Page 39...
  • Page 40 Use the Point on Object tool (DRAW menu) to place exterior points on the lines for the angle, if ncecssary. Use the Intersection tool (DRAW menu) to place a point where the lines intersect. TI-83 Plus GeoMaster™ Application Page 40...

  • Page 41: Performing Calculations

    1. Select from the menu. Calculate MEAS 2. Select the measurement value. 3. To add the measurements, press ¥. —or— To subtract the measurements press ›. TI-83 Plus GeoMaster™ Application Page 41...
  • Page 42 Slope MEAS 2. Select the object. The slope of the object is displayed. location on the screen, and then press ¯. 3. Use the arrow keys to move the measurement value to any TI-83 Plus GeoMaster™ Application Page 42...
  • Page 43 (for a point) is displayed. location on the screen, press ¯, and then move the 3. Use the arrow keys to move the measurement value to any cursor away from the value. TI-83 Plus GeoMaster™ Application Page 43...
  • Page 44 Circle 0 and Point on Object 3. Highlight Point on Object 3, and read them easily, press ¯, and then move the cursor 7. Use the arrow keys to move the coordinates so that you can away from the coordinates. TI-83 Plus GeoMaster™ Application Page 44...
  • Page 45 10. Press ¯ again, and then use the arrow keys to move the object to a different location on the circle. 11. Press ¯ to place the point in the new location. The coordinate pair has been updated with the new coordinates of the point. TI-83 Plus GeoMaster™ Application Page 45...

  • Page 46: Transforming Objects

    The original object is unchanged. Draw an object. Draw a vector that provides the length and direction for the translation. 3. Select from the menu. Translation TRFM TI-83 Plus GeoMaster™ Application Page 46...
  • Page 47 A reflection creates an object's mirror image with respect to a line, segment, ray, or vector. The original object is unchanged. Draw an object. 2. Draw a line, segment, ray, or vector about which the object will be reflected. TI-83 Plus GeoMaster™ Application Page 47...

  • Page 48: Rotating An Object

    Draw a point around which the object will be rotated. 3. Select from the menu. Rotation TRFM 4. Select the object to rotate. 5. Select the point around which the object will be rotated. TI-83 Plus GeoMaster™ Application Page 48...
  • Page 49 You can also rotate an object around its center (or default point, if the object does not have a center, such as a ray) instead of around an external fixed point. To do this, skip steps 1 and 5 above. TI-83 Plus GeoMaster™ Application Page 49...
  • Page 50 3. Select from the menu. Dilation TRFM 4. Select the object to dilate. 5. Select the reference point, unless you want to use the object's geometric center. TI-83 Plus GeoMaster™ Application Page 50...
  • Page 51 • If you enter a large dilation factor, the dilated object is not visible in the viewing window. 7. Press ¯. The object is dilated. The line segment was dilated with respect to the point by a factor of 1.5. TI-83 Plus GeoMaster™ Application Page 51...
  • Page 52 Rotate an object 180 degrees about a point. Example– Draw an object. 2. If needed, draw a point about which the object is rotated 180 degrees. TI-83 Plus GeoMaster™ Application Page 52...
  • Page 53 Check to see if a pentagon and an octagon have Example– rotational symmetry of 180 degrees. 1. Draw a pentagon using the tool. Reg Polygon 2. Draw an octagon using the tool. Reg Polygon 3. Select from the menu. Symmetry TRFM TI-83 Plus GeoMaster™ Application Page 53...
  • Page 54 Tessellate the plane using the tool. Example– Symmetry 1. Draw a hexagon in the upper left corner of the screen using Reg Polygon tool. 2. Select from the menu. Symmetry TRFM TI-83 Plus GeoMaster™ Application Page 54...
  • Page 55 6. Press ¯ to draw a third rotated hexagon. 7. Continue creating hexagons to tessellate the screen. This is a semi-pure tessallation because the plane is tessellated using 2 objects, a regular hexagon and an equilateral triangle. TI-83 Plus GeoMaster™ Application Page 55...

  • Page 56: Comparing Objects

    • If the GeoMaster™ menu bar is not displayed, press V. • Press s to exit the menu item that is currently selected. Determining if Two Lines Are Perpendicular Draw two or more objects. 2. Select from the menu. Perpendicular? MISC TI-83 Plus GeoMaster™ Application Page 56...
  • Page 57 You cannot compare an object to itself, so you cannot select an object more than one time. Determining if Two Lines Are Parallel? Draw two or more objects. 2. Select from the menu. Parallel? MISC TI-83 Plus GeoMaster™ Application Page 57...
  • Page 58 Press e immediately after you create each point. This Note allows you to enter a label for each point as you create it. Enter the label, and then proceed. TI-83 Plus GeoMaster™ Application Page 58...
  • Page 59 A dialog box lists all of the objects at the intersection point. for the point, and then press ¯. 6. Enter the label and then press ¯. 7. Select the second intersection point; enter the label for it; TI-83 Plus GeoMaster™ Application Page 59...
  • Page 60 Highlight the point label, and then press ¯ to select it. Note A dialog box lists all of the objects at the intersection point. 12. Press ¯ again, and use the arrow keys to rotate the line. TI-83 Plus GeoMaster™ Application Page 60...
  • Page 61 As you move the line, the angle Before you measurements are moved the line, updated – and are no longer equal! measurements of the angles were equal. TI-83 Plus GeoMaster™ Application Page 61...
  • Page 62 Draw an object or draw a point points on an object. 2. Select rom the menu. Collinear? f MISC 3. Select the three points. True is displayed for collinear points; false is displayed for non-collinear points. TI-83 Plus GeoMaster™ Application Page 62...
  • Page 63 RAM. • Each coordinate pair is treated as two separate data elements. Therefore, you can only store three coordinate pairs at one time. TI-83 Plus GeoMaster™ Application Page 63...
  • Page 64 3. Select the numbers or measurements on the screen that you want to store. Note The cursor must be positioned at the far left end of the data in order to select the data. When the data is selected, it is highlighted. TI-83 Plus GeoMaster™ Application Page 64...
  • Page 65 180 degrees. The first series of steps creates the drawing, finds the measurements of the angles, and stores the measurements – L1GEO L3GEO Draw a triangle. TI-83 Plus GeoMaster™ Application Page 65...
  • Page 66 Place the cursor on the leftmost side of the angle measurement to select it. When the measurement is selected, it is highlighted. press ¯ to select it. 6. Move the cursor to the second angle measurement, and then TI-83 Plus GeoMaster™ Application Page 66...
  • Page 67 The angle measurements are updated as you move the vertex point. 11. Press ¡ to store the new angle measurements. 12. Move the vertex point again, and then press ¡ to store the new angle measurements. TI-83 Plus GeoMaster™ Application Page 67...
  • Page 68 2. Press \ G „ \ , and then select L1GEO 3. Press „ \ , and then select L2GEO 4. Press „ \ , and then select L3GEO 5. Press ¯ to complete the list editor setup. TI-83 Plus GeoMaster™ Application Page 68...
  • Page 69 L1 is triangle, no matter what its a locked list. It will shape, is 180 degrees. be dynamically updated if you change any value in L1GEO – L3GEO. TI-83 Plus GeoMaster™ Application Page 69...

  • Page 70: Clearing Stored Data

    1. Press \  to exit the application. this: 2. Press g. 4. Press \  to display the lists on your calculator. 3. From the Edit menu, select ClrList 5. Select the list to clear and press ¯. TI-83 Plus GeoMaster™ Application Page 70...

  • Page 71: Moving Objects

    6. Press ¯ to place the object in its new location. The normal cursor returns. press ¯. The object’s lines change back to solid lines, 7. Move the cursor to an empty area on the screen, and then indicating that the object is deselected. TI-83 Plus GeoMaster™ Application Page 71...
  • Page 72 7. Use the arrow keys to move the group of objects. Everything on the screen that is associated with the objects is moved with it, including transformations and labels. 8. Press ¯ to place the objects in their new location. The normal cursor returns. TI-83 Plus GeoMaster™ Application Page 72...
  • Page 73 Y= editor and Equ/Plot Off the stat plots. • turns the trails feature on or off. Trails On/Off Displaying the Normal Cursor To display the normal cursor, select from the menu. Pointer MISC TI-83 Plus GeoMaster™ Application Page 73...

  • Page 74: Creating Labels

    Press e to turn off the alpha-lock so that you can type • numbers. 4. Press ¯. Hiding Objects 1. Select from the menu. Hide/Show MISC 2. Select the object(s) to hide or show. 3. Press s. The object is hidden. TI-83 Plus GeoMaster™ Application Page 74...
  • Page 75 To turn trails on or off, select from the menu. Trails On/Off MISC Trails are either turned on or off, depending on the previous Trails On/Off selection. By default, trails are turned off when you start the application. TI-83 Plus GeoMaster™ Application Page 75...

  • Page 76: Storing Data

    • To cancel the current object being drawn, press s. • To exit the current tool and display the normal cursor, press Storing Data • Press ¡ to store data after previously selecting data with tool on the menu. Select Data MISC TI-83 Plus GeoMaster™ Application Page 76...
  • Page 77 2. Move the cursor to each object, and then press ¯. 3. To disable multiple object selection, press s. -or- 1. Press ¯ to select the first object. 2. Press \ ¯ to select subsequent objects. 3. To disable multiple object selection, press s. TI-83 Plus GeoMaster™ Application Page 77...
  • Page 78 You can enter the exact coordinates to draw points instead of using the arrow keys to move the cursor to those coordinates. Coordinates can have up to two decimal places. 1. Select a drawing tool, and then press ¯ to draw the first point. TI-83 Plus GeoMaster™ Application Page 78...
  • Page 79 • Press \  to turn on the alpha mode so that you can type several alphabetical characters in a row. • Press e to turn off the alpha mode. 2. Press ¯ or an arrow key to complete the label. TI-83 Plus GeoMaster™ Application Page 79...

  • Page 80: Deleting Objects

    Deleting Objects 1. With the cursor on an object, press ¯. 2. Press ^ to delete the object and all its dependent objects (measurements, constructions, or objects drawn using that object or its points). TI-83 Plus GeoMaster™ Application Page 80...

  • Page 81: Installation Error Messages

    TI 83 Plus. Before you delete an application from the TI 83 Plus, you can save it on your computer using the TI GRAPH LINK™ software for the TI 83 Plus. You can reload it to the TI 83 Plus later using the TI GRAPH LINK software.
  • Page 82 Link Transmission Error This error indicates that the TI GRAPH LINK™ software is unable to communicate with the TI 83 Plus. The problem is usually associated with the TI GRAPH LINK cable and its connection to the TI 83 Plus and/or to the computer.
  • Page 83 Error in Xmit This problem is usually associated with the unit-to-unit cable and its connection between the TI 83 Plus calculators. Make sure the cable is firmly inserted in the I/O port of each calculator. If you continue to get this error, please contact Cares™...

  • Page 84: Checking Version Numbers And Free Space

    Checking Version Numbers and Free Space Verify Operating System Version and ID Number The GeoMaster™ application is compatible with TI 83 Plus operating system 1.13 and higher. To verify your operating system version number: 1. From the home screen, press \ /.

  • Page 85: Verify Flash Application Version

    Select Mem Mgmt/Del. The GeoMaster™ application requires at least 49,152 bytes of ARC FREE (Flash) to load the application. For more information about memory and memory management, refer to the TI 83 Plus manual. TI-83 Plus GeoMaster™ Application Page 85...

  • Page 86: Texas Instruments (Ti) Support And Service Information

    Texas Instruments (TI) Support and Service Information For General Information ti-cares@ti.com E-mail: 1-800-TI-CARES (1-800-842-2737) Phone: For US, Canada, Mexico, Puerto Rico, and Virgin Islands only education.ti.com Home page: For Technical Questions 1-972-917-8324 Phone For Product (Hardware) Service Customers in the US, Canada, Mexico, Puerto Rico, and Virgin...

  • Page 87: End User License Agreement

    Program and on the media. Except as expressly stated herein or in the documentation, you may not duplicate such documentation. In cases where TI supplies the related documentation electronically you may print the same number of copies of the documentation as the number of computers/calculators specified for the license fee you paid.
  • Page 88 TI supplies the related documentation electronically you may print one copy of such documentation for each computer or calculator on which the Program is installed. Each member of the institution faculty may also use a copy of the Program on an additional computer/calculator for the sole purpose of preparing course materials. Students must be instructed to remove the Program from student owned computers and calculators upon the end of their enrollment in the institution.
  • Page 89 "Restricted Rights" as provided for in FAR, 48 CFR 52.227-14 (JUNE 1987) or DFAR, 48 CFR 252.227-7013 (OCT 1988), as applicable. Manufacturer is Texas Instruments Incorporated, 7800 Banner Drive, M/S 3962, Dallas, Texas 75251. TI-83 Plus GeoMaster™ Application Page 89...
  • Page 90 Moving Objects ....................71 GeoMaster Utilities....................73 Quick Reference Guide ..................76 Installation Error Messages ................81 Checking Version Numbers and Free Space ............. 84 Texas Instruments (TI) Support and Service Information........86 End-User License Agreement................87 TI-83 Plus GeoMaster™ Application Page 90...

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