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TI-73 Geoboard
TI
Getting Started
Start Here…
How To…
Work with Boards Transform Obj ects
Create and Delete Objects Measure Objects
Save and Share Boards
Examples
Creating Regular Polygons
Rotating to Create Patterns
Examining Areas of Squares
More Infor m a t ion
Troubleshooting
Customer Support
4/6/01 © 2001 Texas Instruments
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Important Information
Texas Instruments makes no warranty, either expressed or
implied, including but not limited to any implied warranties of
merchantability and fitness for a particular purpose, regarding
any programs or book materials and makes such materials
available solely on an “as-is” basis.
In no event shall Texas Instruments be liable to anyone for
special, collateral, incidental, or consequential damages in
connection with or arising out of the purchase or use of these
materials, and the sole and exclusive liability of Texas
Instruments, regardless of the form of action, shall not exceed
the purchase price of this product. Moreover, Texas Instruments
shall not be liable for any claim of any kind whatsoever against
the use of these materials by any other party.
Apple, Macintosh, Microsoft, and Windows are trademarks of their respective owners.
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What is Geoboard?
Geoboard is a Flash software application for the Texas
Instruments TI73 graphing calculator. It gives you an electronic
geoboard on which you can form geometric objects. You can
then manipulate and examine the objects.
You can:
Draw objects on square or circular boards.
•
Rotate, reflect, and translate objects.
•
Measure lengths, areas, perimeters, and angles.
•
Store measured values in TI73 lists for plotting and analysis.
•
Show or hide labels, axes, and coordinates.
•
Save Geoboards so you can retrieve them later.
•
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What You Will Need
To install and run TI73 Geoboard, you need:
A TI73 with version 1.3007 or later of the Graph Explorer
•
software. (To check the version, press
About
software, point your web browser to
http://education.ti.com/
At least 1000 bytes of available TI73 RAM memory and:
•
-
-
Geoboard notifies you if you try to save any data after
available memory has dropped below 1000 bytes.
.) To download a free copy of the latest Graph Explorer
An additional 97 bytes for each board that you save.
An additional 9 bytes for each measured value that you
store in a list.
, and select
A PC running Microsoft
•
®
Windows®, or an Apple
®
Macintosh®.
The most recent version of
•
TI-GRAPH LINK
™ software for the
TI73. To download a free copy of this software,
point your web browser to
http://education.ti.com/
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Where to Find Installation Instructions
You can find detailed instructions on installing Flash applications
at this web site:
http://education.ti.com/
Getting Help
If you need help using the calculator, the TI73 guidebook is
available free as a PDF file at:
http://education.ti.com/
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Getting Started
After installing TI73 Geoboard on your calculator, you can work
through this exercise to become familiar with the basic features
of the Geoboard application.
In the exercise, you create an irregular four-sided polygon and
use Geoboard commands to measure the polygon’s perimeter
and one of its angles.
Starting with a Square Board
1. Turn the calculator on, and press the
key. The
calculator displays a menu of installed applications.
2. Press the number key shown next to
Geoboard
with and and then press the
Geoboard
, or highlight
E
key. The
Geoboard startup screen appears.
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3. Press any key to proceed. The Geoboard menu appears,
The Geoboard
commands are
mapped to the five
TI73 graphing keys.
DRAW
= Draw object
TFRM
= Transform
FMAT
= Format
MEAS
= Measure
OPTN
= Options
showing choices for a square board. By default, the
5×5
option is highlighted.
4. Press the
E
key to select
. The 5×5 board appears
5×5
with a small cursor at the lower-left peg and five commands
along the bottom.
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Showing Coordinates and Vertex Labels
Note
Geoboard creates unique labels for the vertex points of each
object. Even if vertex points of different objects share a common
peg, each vertex point has its own label.
1. Select
FMAT
(press the
key). The
appears.
2. Press , , , and as necessary to highlight
and then press the
E
key.
3. Press , , , and as necessary to highlight
and then press the
4. Select
QUIT
E
. The board reappears. The cursor coordinates
key.
are shown, and the vertices of objects that you draw will
have alphabetic labels.
FORMAT
menu
LblsOn
CoordOn
,
,
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Drawing the Object
A Geoboard object can be a line segment or a closed polygon.
You can create as many as six objects on a board, provided you
do not exceed a maximum of 26 total vertices per board.
1. Select
DRAW
drawing commands,
(press the key). The commands change to
ADD, DEL, DONE
, and
QUIT
.
2. Press repeatedly to move the cursor to the top row.
3. Select
4. Press
to add a point at the cursor position.
ADD
. As the cursor moves, it leaves a dotted line
to show the new portions of the object that you are drawing.
5. Select
to add a second point. The dotted line becomes
ADD
solid.
6. Press
, and then select
to add a third point. You
ADD
now have a triangle.
7. Press , and then select
to add a fourth point.
ADD
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8. Select
DONE
. Your four-sided object looks like this:
9. Select
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. The main Geoboard commands reappear.
QUIT
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Measuring and Storing the Perimeter
1. Select
MEAS
(press the
key). The
MEASUREMENT
menu
appears.
2. Select
Perimeter
. The board reappears, with the
Perimtr
prompt.
3. If the cursor is not already on one of the object’s defined
vertices, use the arrow keys to move the cursor to a defined
vertex.
4. Press the
E
key. The object’s perimeter,
10.606
,
appears, and the Geoboard commands change to let you
store the measured value.
5. Select
to store the value in the calculator’s
L
1
list. The
L
1
main Geoboard commands reappear.
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Measuring and Storing Angle ADC
1. Select
MEAS
(press the
The board reappears, with the
2. Move the cursor to point
, and then press the
A
The point is marked with an ×.
3. Move the cursor to point
, and then press the
D
The point is marked with an ×.
4. Move the cursor to point
The angle,
123.69
, appears, and the angle is shown as a
, and then press the
C
dotted line on the object.
5. Select
to store the value in the calculator’s
L
2
main Geoboard commands reappear.
key), and then select
Angle
prompt.
E
E
E
list. The
L
2
Angle
key.
key.
key.
.
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Quitting the Geoboard Application
Quitting the application or turning off the calculator does not
remove Geoboard from the Flash memory. To remove it, refer to
Removing Geoboard
.
1. Press
2. Select
O
YES
saved, the message
-
Select
. The message
Exit this board?
appears.
. If you have made changes that you have not
Save this board?
if you want to save the board. Follow the
YES
appears.
prompts to select a name for the board.
-
Select NO if you want to quit without saving.
3. When the main Geoboard menu appears, press
display the
4. Select
YES
menu.
QUIT
. The TI73 home screen appears.
to
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Inspecting the Stored Values
1. After quitting the Geoboard application, press the
The perimeter and angle that you stored appear in
L
1
key.
and
L
2
If you had values stored in these lists prior to running
Geoboard, the Geoboard values will be the last ones.
2. Press
O
to return to the home screen.
Where to Go from Here
Now that you have the basic skills for using the TI73 Geoboard,
you can explore its remaining features.
Use the links on the first page
Perform other tasks, such as transforming objects.
•
to learn how to:
.
Work through specific examples.
•
Find other troubleshooting and customer-support
•
information.
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Working with Boards
Hide or show vertex labels
Hide or show the axes
Hide or show cursor coordinates
Show measured results as
decimals or fractions
Choosing Format Settings
When you are viewing a board, you can use the
FMAT
command
to show or hide labels, axes, and coordinates. You can also
choose whether measured results are displayed as fractions or
decimal numbers. These Geoboard settings do not affect the
calculator’s
FORMAT
1. While viewing a board, select
The
FORMAT
settings.
menu appears.
FMAT
(press the
key).
2. To change any format setting, press , , , and as
necessary to highlight the setting, and then press the
E
key.
3. When you have finished setting the formats, select
QUIT
. The
board reappears with your new settings in effect.
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Erasing a Board
Note
To cancel moving the origin before you have pressed
E
,
select
QUIT
.
1. While viewing the board, select
The
OPTIONS
2. Select
Erase Board
menu appears.
. The confirmation message
appears.
3. Select
. The board reappears, with all objects erased. On
YES
square boards, the origin is set to the lower-left corner.
Moving the Origin on a Square Board
1. While viewing the board, select
The
OPTIONS
2. Select
Move Origin
menu appears.
. The board reappears, with x and y axes.
3. Use the cursor keys (, , , and ) to reposition the
origin.
4. Press the
E
key. The main Geoboard commands
reappear.
OPTN
OPTN
(press the
(press the
Erase board?
key).
key).
5. If you want to remove the axes, select
and press the
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E
key.
FMAT
, select
AxesOff
,
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Creating a Circular Board
1. To exit the board you are viewing, select
this board?
2. Select
key), and then select
appears.
. If you have made changes that you have not
YES
saved, the message
-
Select
YES
Main Menu
Save this board?
to save the board. Follow the prompts to
. The Message
appears.
OPTN
(press the
Exit
select a name for the board.
-
Select NO to exit without saving.
3. When the main Geoboard menu appears, press or as
necessary to highlight the
menu item. Options appear for
CIR
selecting the radius and the number of pegs, with the current
settings highlighted.
4. Press to highlight the Radius options, press or to
highlight a radius, and then press the
5. Press
to highlight the Pegs options, press or to
E
highlight the number of pegs, and then press the
key.
E
key.
6. Select
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GOTO
. The circular board appears.
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Moving the Cursor on a Circular Board
To move from the center to the outer pegs
Press
To move to the center
Press
To move clockwise around the pegs
Press
To move counter-clockwise around the pegs
Press
Note
To ensure the fastest speed, Geoboard does not constantly
redraw objects or parts of objects that have been erased
temporarily during an operation (such as transforming or
measuring). When you complete the operation, all objects on the
board are redrawn.
Redrawing a board
Press
. All objects are redrawn.
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Creating and Deleting Objects
Note
If the word
Limit
appears, you have reached the maximum of
26 vertices. Select
Quit
to remove the message and complete
the object. Select
Quit
again to restore the main Geoboard
commands.
A Geoboard object can be a line segment or a closed polygon.
You can create as many as six objects on a board, provided you
do not exceed a maximum of 26 total vertices per board.
Drawing an Object on a Square Board
1. Select
DRAW
square-board drawing commands,
.
QUIT
(press the key). The commands change to
ADD, DEL, DONE
, and
2. Use the cursor keys (, , , and ) to move the cursor
to the object’s first point.
3. Select
to add a point at the cursor position.
ADD
4. Move the cursor to the next point. As the cursor moves, it
leaves a dotted line to show the new portions of the object.
5. Select
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to add another point. The line becomes solid.
ADD
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6. Continue adding points until the object is complete.
Note
If the word
Limit
appears, you have reached the maximum of
26 vertices. Select
Quit
to remove the message and complete
the object. Select
Quit
again to restore the main Geoboard
commands.
7. Select
8. Select
Drawing an Object on a Circular Board
1. Select
2. Move the cursor to the object’s first point, using the cursor
3. Select
DONE
QUIT
DRAW
ADD, DEL, DONE
. The object is shown with a solid line.
. The main Geoboard commands reappear.
(press the key). The commands change to
, and
QUIT
.
keys as described in Moving the Cursor on a Circular Board
to add a point at the cursor position. The point is
ADD
added, and the
command appears so you can add a
ARC
point that creates an arc instead of a chord.
.
4. Move the cursor to the next point. As the cursor moves, it
leaves a dotted line to show the new portions of the object.
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5. Select
Note
If you want to create an arc instead of a chord, select
ARC
instead of
ADD
. The arc is always drawn in a clockwise
direction. You cannot draw an arc to or from the center point.
to add another point. The dotted line becomes
ADD
solid.
6. Continue adding points until the object is complete.
7. Select
8. Select
DONE
QUIT
. The object is shown with a solid line.
. The main Geoboard commands reappear.
Deleting a Point While Drawing an Object
You can remove points on an object while drawing it, starting
with the most recently added point.
1. While creating an object, select
(press the
DEL
key).
The last point that you added is removed, and the object’s
outline is redrawn.
2. Resume adding points until you have completed the object.
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Deleting an Object
Note
If you have selected a point that is shared by two or more
objects, the message
Select Object
appears. Press as
necessary to select the object that you want to remove.
1. Make sure you are not currently creating an object. You
should see the main Geoboard commands (
DRAW, TFRM
,
and so on).
2. Use the cursor keys (, , , and ) to move the cursor
to any vertex on the object that you want to remove.
3. Press the
and the message
key. The object is shown with a dotted line,
Delete - Are You Sure?
appears.
4. Press the
E
key to remove the object, or press any other
key to keep the object. When you delete an object, its labels
may be reassigned to remaining objects.
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Example: Creating Regular Polygons
In this exercise, you examine factors by creating a circular board
and populating it with regular (equilateral) polygons whose
vertices are on the perimeter. The specific shapes that you can
draw depend on the number of pegs around the board.
1. Create a 12-peg circular board with a radius of 1.
2. Select
FMAT
3. Starting at the topmost peg, select
command to place a vertex at every 4
(press the
key), and then select
DRAW
and use the
th
peg. This creates a
LblsOff
ADD
.
3-sided regular polygon (an equilateral triangle). The triangle
is possible because 4 and 3 are factors of 12. 4×3=12.
4. Starting again at the top peg, place a vertex at every 3
rd
peg
to draw a 4-sided regular polygon (a square). 3×4=12.
5. Starting again at the top peg, place a vertex at every 2
nd
peg
to draw a 6-sided regular polygon (a hexagon). 2×6=12.
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6. Start once more at the top peg and draw a 12-sided regular
polygon by placing a vertex at every peg. 12×1=12.
You now have one example of each regular polygon that can
be drawn around a 12-peg board.
7. Make sure the cursor is on the top peg, and press the
E
key. The first polygon becomes selected.
8. Press to view the polygons in succession.
Notice that for each polygon, the number of sides × the number
of pegs from vertex-to-vertex = 12. Consider the number of
regular polygons possible on a 24-peg board.
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Saving and Sharing Boards
Saving a Board
You can save the current board. A square board can be saved
with the name
as
C1, C2
S1, S2
, or C3.
1. If necessary to complete any unfinished operation, select
, or press the
QUIT
, or S3, and a circular board can be saved
key.
2. Select
OPTN
(press the
key). The
OPTIONS
menu
appears.
3. Select
File Save
. The Save menu appears, showing the three
possible names for the type of board.
4. Highlight a name, and then press the
E
key to save the
board. If you previously saved a board using that name, the
message
-
To replace the saved board, press the
Replace?
then select
-
To cancel saving the current board, select
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appears.
.
QUIT
E
QUIT
key, and
.
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Opening a Saved Board
Note
If you are viewing a square board, only the square boards are
listed. If you are viewing a circular board, only the circular boards
are listed.
You can open any saved board that is the same type as the
board you are viewing.
1. If you first want to save the current board, follow the steps for
Saving a Board
.
2. Select
OPTN
(press the
key). The
OPTIONS
menu
appears.
3. Select
File Open
. The Open menu appears, displaying the list
of boards.
4. Select the board that you want to open. The opened board
replaces the board that you were viewing.
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Copying Saved Boards to Another Calculator
Note
The AppVar name of each board is the board’s name with the
letters “Geobd” appended. For example, the circular board
C1
has the AppVar name
C1Geobd
.
1. Quit the Geoboard application.
2. Connect the calculators by using a unit-to-unit cable.
3. On the
receiving
for example, press the
SEND / RECEIVE
4. Press to display the
The receiving unit displays the
5. On the
SEND / RECEIVE
sending
unit, start the Link application. On a TI73,
key, and then select
menu appears.
RECEIVE
unit, press
menu, and then press
Waiting
, and then select
menu appears, showing a list of items that
you can send.
6. Scroll to
AppVars
, and select it. The
appears, showing the list of AppVars.
Link
message.
Link
SELECT / TRANSMIT
. The
E
. The
menu
.
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7. Mark each board that you want to send by using and to
point to the board’s name and then pressing
E
.
8. Press to highlight
TRANSMIT
, and then press
marked boards are transmitted to the receiving unit.
When the transmission has completed, both calculators
display the message
9. On each calculator, press
Done
.
O
to exit the Link
application.
E
. The
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Measuring Objects
Valid shape
Invalid shape
(lines cross)
Invalid shape
(upper peg used twice)
Valid Shapes for Area and Perimeter Measurements
Valid shapes for measuring areas and perimeters are shapes
that have no intersecting lines and do not use the same peg
more than once. The message
attempt to measure the area or perimeter of an invalid shape.
Restrictions on Fraction Results
For lengths, areas, and perimeters, Geoboard gives decimal or
fraction results, depending on the Decimal/Fraction format
setting. Fraction measurements that are irrational (such as a
hypotenuse that is
Shape Error
5
) are approximated (56/25 in this case).
appears if you
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For angles, the results are always given in decimal degrees,
Note
When you store a measured value, Geoboard stores it in the
first available space at the end of the list. If a list has been
deleted, you can restore the standard lists
L
1
through
L
6
. Press
_
, use to scroll down to the
SetUpEditor
command, and press
E E
.
regardless of the Decimal/Fraction setting. Also, if you measure
an angle, the FRACTION format is changed to DECIMAL.
Clearing Lists before Storing Measured Values
When you take a measurement, the Geoboard application
makes it easy for you to store the value in any of the TI-73 lists
through
L
1
. Before starting Geoboard, you might want to clear
L
4
one or more of those lists so that they will contain only the
Geoboard results.
1. Quit the Geoboard application.
2. Press the
key. The list editor appears.
3. Press and as necessary to select the list to be cleared.
4. Press to highlight the name of the selected list.
5. Press
E
. The selected list is cleared.
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Measuring the Length of a Line Segment
Note
If a value does not appear, you might have selected a peg that
is not one of the object’s vector points. Make sure you are
measuring a line segment that was defined as part of the object.
1. Select
MEAS
(press the
key). The
appears.
2. Select
Length
. The board reappears, with the
3. Use the cursor keys (, , , and ) to move to either of
the two points that form the line segment, and press the
E
key.
4. Move the cursor to the other point, and press the
The length value appears, and commands appear for storing
the value in a list.
5. Select the TI73 list in which you want to store the value, or
select
to discard the value. The main Geoboard
QUIT
commands reappear.
MEASUREMENT
Length
prompt.
E
menu
key.
6. Press
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to stop measuring.
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Measuring an Object’s Area
Tip
If you have drawn multiple objects on the board, select a point
that is unique to the object that you want to measure. If you
select a shared point instead, you must use the key to select
the object before pressing
E
.
You can measure the area of any closed polygon that has no
intersecting lines.
1. Select
MEAS
(press the
key). The
appears.
2. Select
. The board reappears, with the
Area
3. Use the cursor keys (, , , and ) to move to any
vertex on the object, and press the
E
value appears.
4. Select the TI73 list in which you want to store the area
value, or select
to discard the value. The main
QUIT
Geoboard commands reappear.
5. Press
to stop measuring.
MEASUREMENT
prompt.
Area
key. The area
menu
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Measuring an Object’s Perimeter
Tip
If you have drawn multiple objects on the board, select a point
that is unique to the object that you want to measure. If you
select a shared point instead, you must use the key to select
the object before pressing
E
.
You can measure the perimeter of any closed polygon that has
no intersecting lines.
1. Select
MEAS
(press the
key). The
appears.
2. Select
Perimeter
. The board reappears, with the
prompt.
3. Use the cursor keys (, , , and ) to move to any
vertex on the object, and press the
E
appears.
4. Select the TI73 list in which you want to store the perimeter
value, or select
to discard the value. The main
QUIT
Geoboard commands reappear.
5. Press
to stop measuring.
MEASUREMENT
Perimtr
menu
key. The perimeter
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Measuring an Angle
Note
Angle measurement always displays the smaller of the two
angles formed by the two sides. The smaller angle might be the
angle on the outside of the object rather than the angle on the
inside.
1. Select
MEAS
(press the
key). The
appears.
2. Select
Angle
. The board reappears, with the
3. Use the cursor keys (, , , and ) to move to the first of
the three points that form the angle, and press the
4. Move the cursor to the second point, and press the
5. Move the cursor to the third point, and press the
The angle value appears, and the angle is shown as a dotted
line on the object.
6. Select the TI73 list in which you want to store the value, or
select
to discard the value. The main Geoboard
QUIT
commands reappear.
7. Press
to stop measuring.
MEASUREMENT
prompt.
Angle
E
E
E
menu
key.
key.
key.
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Measuring the Length of an Arc
Tip
If you are uncertain of the arc’s starting and ending points, you can
use the
FMAT
command to display labels.
On a circular board, you can measure the length of any single
arc that you have drawn. You must specify the same starting and
ending points that you used to draw the arc. However, the
starting point must not be shared by another object. The length
is always measured clockwise from the starting point to the
ending point.
1. Select
MEAS
(press the
key). The
MEASUREMENT
menu
appears.
2. Select
Arc Length
. The board reappears, with the
Arc
prompt.
3. Use the and keys to move to the arc’s starting point,
and press the
E
key.
4. Move the cursor to the arc’s ending point, and press the
E
key. The arc length value appears.
5. Select the TI73 list in which you want to store the value, or
QUIT
select
to discard the value. The main Geoboard
commands reappear.
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6. Press
to stop measuring.
Example: Examining the Areas of Squares
This example uses Geoboard to demonstrate visually how a
square’s area is related to the length of the square’s sides.
1. Quit the Geoboard application
be using
to store measured areas.
L
1
2. Restart Geoboard, and select the
3. If labels are on, select
select
LblsOff
4. Using the
.
DRAW
command, draw a 1×1 square in the lower-
FMAT
, and then clear list
square board.
8×8
(press the
. You will
L
1
key), and then
left corner.
5. Use the
MEAS
store the value in
command to measure the square’s area, and
.
L
1
6. Starting again in the lower-left corner, draw a 2×2 square,
and count the number of small (1×1) squares in the 2×2
square. The count is 4 small squares.
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7. Measure the area of the 2×2 square, compare it with your
count, and store the area in
.
L
1
8. Starting again in the lower-left corner, draw a 3×3 square,
and count the number of small squares in this square. The
count is 9 small squares.
9. Measure the area of the 3×3 square, and store the area in
.
L
1
10. Draw one more large square in the corner. Make it 4×4.
Count the small squares in this square.
11. Measure the area of the 4×4 square, and store the value in
.
L
1
12.
Quit the Geoboard application, and then press the
to examine the area values in list
L
1.
key
Consider the sequence of numbers of the stored areas. Is there
a pattern to the sequence?
If there is a pattern, what would you expect the area of the entire
8×8 board to be? What about an
TI-73 Geoboard Page 37
n×n
board?
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Transforming Objects
Note
If you have selected a point that is shared by multiple objects,
Geoboard selects the first object that used the point.
Rotating an Object
On a square board, you can rotate an object clockwise or
counter-clockwise around any of its vertices. On a circular board,
you can rotate an object clockwise or counter-clockwise around
the center peg.
1. Select
TFRM
(press the
key). The
TRANSFORMATION
menu appears.
2. Select
Rotate
. The board reappears, with the
Rotate
prompt.
3. Use the cursor keys (, , , and ) to place the cursor
on the vertex around which you want to rotate the object.
4. Press the
E
key. A temporary copy of the object is
displayed with dotted lines.
5. Use the
and keys to rotate the temporary copy.
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Note
If the entire rotated object does not fit on the board, a
Limit
error message is displayed.
Note
A copy operation must not exceed Geoboard’s maximum of 26
points or 6 objects per board. To cancel the rotation before you
have selected
MOVE
or
COPY
, select
QUIT
. The temporary
copy is erased.
6. Select either
location) or
MOVE
COPY
(to rotate the original object to the new
(to keep both the original object and the
rotated copy).
Reflecting an Object
You can reflect an object along a horizontal or vertical line of
reflection that you define. On a circular board, the line of
reflection must intersect the center peg. Note that you cannot
create a horizontal reflection line on the 6-peg circular board.
1. Select
TFRM
(press the
key). The
menu appears.
2. Select
Reflect
. The board reappears, with the
TRANSFORMATION
Reflect
prompt.
3. Use the cursor keys (, , , and ) to place the cursor
on one of the object’s vertex points.
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4. Press the
Note
If you have selected a point that is shared by multiple objects,
Geoboard selects the first object that used the point.
Note
If the entire reflected object does not fit on the board, the
message
Limit
is displayed. If the line of reflection is not
horizontal or vertical, the message
NoAxis
is displayed. Press
to cancel, and then restart the reflection.
Note
A copy operation must not exceed Geoboard’s maximum of 26
points or 6 objects per board. To cancel the reflection before you
have selected
MOVE
or
COPY
, select
QUIT
. The temporary
copy is erased.
E
key. A temporary copy of the object is
displayed with dotted lines.
5. Place the cursor on one of two points that will form the line of
reflection, and press the
E
key to select the point.
6. Place the cursor on a second point that forms a horizontal or
vertical line of reflection, and press the
temporary copy is reflected along the line.
E
key. The
7. Select either
reflected copy) or
MOVE
(to replace the original object with the
COPY
(to keep both the original object and
the reflected copy).
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Translating an Object
Note
If you have selected a point that is shared by multiple objects,
Geoboard selects the first object that used the point.
When you translate an object, you have the option of moving
either the original object or a copy of it. The operation must not
exceed Geoboard’s maximum of 26 points or 6 objects.
1. Select
TFRM
(press the
key). The
menu appears.
2. Select
Translate
. The board reappears, with the
prompt.
3. Use the cursor keys (, , , and ) to place the cursor
on one of the object’s points.
4. Press the
E
key. A temporary copy of the object is
displayed with dotted lines.
5. Use the cursor keys (, , , and ) to reposition the
temporary copy.
TRANSFORMATION
Translate
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6. Select either
Note
A copy operation must not exceed Geoboard’s maximum of 26
points or 6 objects per board. To cancel the translation before
you have selected
MOVE
or
COPY
, select
QUIT
. The
temporary copy is erased.
location) or
MOVE
COPY
(to move the original object to the new
(to keep both the original object and the
copy).
Example: Rotating Objects to Create a Pattern
1. Start with the
2. Select
and
FMAT
CoordOn
square board.
8×8
(press the
.
key), and then select
LblsOff
3. Create a diamond-shaped object with vertices at coordinates
(3,4), (4,3), (3,2), and (2,3). This will serve as the base
object for four rotations.
4. Starting at (3,4), rotate the base object 180
COPY
. You now have a copy directly above the base object.
, and then select
°
5. Make a second copy directly to the right of the base object
by starting at (4,3) and rotating 180
TI-73 Geoboard Page 42
.
°
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6. Make a third copy directly below the base object by starting
at (3,2) and rotating 180
.
°
7. Make a fourth copy directly to the left of the base object by
starting at (2,3) and rotating 180
. You now have a pattern of
°
five diamonds forming a cross.
Consider how you might use reflection to create the same pattern.
Consider how you might use rotation to fill in the empty spaces
and form a large diamond.
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Removing the Geoboard Application
Removing Geoboard makes Flash memory available for other
applications.
1. Quit the Geoboard application
2. Press
3. Select
Delete
4. Use or to select
key. A message asks
5. Select
YES
. The
MEMORY
, and then select
GEOBOARD
Are You Sure?
.
.
menu appears.
Apps
.
, and then press the
Removing Saved Boards
Removing saved boards creates more space for TI73 lists,
variables, and pictures.
1. Quit the Geoboard application
2. Press
3. Select
Delete
. The
MEMORY
, and then select
.
menu appears.
AppVars
.
E
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4. For each AppVar containing the word
select the AppVar, and then press the
Geobd
E
, use or to
key.
5. When you have finished removing the saved boards, press
O
. You are returned to the home screen.
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Troubleshooting / Interpreting Messages
Message
Description
Limit
Geoboard cannot perform the requested rotation, reflection, or
translation because the transformed object does not fit on the
board. Press
to cancel, and then restart the
transformation.
MemErr
You may have attempted to store a measured value to a list
that is full. To empty the list, quit Geoboard and execute the
ClrList
instruction, available in the
Stat>Ops
menu.
You may have attempted to store a value to a list that has
been deleted. To create the list, quit Geoboard, press
_
, use to scroll down to the
SetUpEditor
command,
and press
E E
.
You may have attempted to save a board or store a measured
value after available RAM memory has dropped below 1000
bytes. Quit Geoboard and delete some items from memory.
*MEMORY
LIMIT*
You have attempted to run Geoboard with less than 1000
bytes of RAM memory available. Press any key to remove the
message, and then delete some items from memory.
Geoboard Messages
TI-73 Geoboard Page 46
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Message
Description
NoAxis
You have attempted to define a line of reflection that is not
horizontal or vertical. Move the cursor to the line’s first point,
press
E
to select it, move to a second point that forms a
horizontal or vertical line, and press
E
.
Not Found
You have attempted to use
File Open
to open a Geoboard
file that does not yet contain a saved board.
Object
Limit
The requested operation would exceed Geoboard’s maximum
of six objects on a board.
Object not
found
You have pressed
E
to perform an object operation
without first moving the cursor to an object’s vertex point. Try
moving the cursor to a vertex point and pressing
E
again.
Point Limit
The requested operation would exceed Geoboard’s maximum
of 26 total points on a board.
Replace?
You are saving a board to a name that already contains a
previously saved board. To replace the saved board, press
E
. To cancel the save, press any other key.
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Message
Description
Shape
Error
You have attempted to measure the area or perimeter of an
object:
•
That is a line segment.
•
That has intersecting lines.
•
That uses the same peg more than once.
Press
to remove the message.
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Installation Error Messages
Low Battery Condition
— Do not attempt to install Geoboard if
this message appears on the calculator’s initial screen. If you
receive this error during an installation, change the batteries
before trying again.
Archive Full
— This message appears when the TI73 does not
have sufficient memory to store the application. You must
remove an application from the TI73 in order to make room for
the application.
You can create a backup of an application on your computer by
using the
version of
application, you can reload it to the TI73 using the
Flash Software
Communication Error
Link >Receive Flash Software
TI-GRAPH LINK
menu in
™ for the TI73. Anytime after saving the
TIGRAPH LINK
.
— This error indicates the installer is
menu in the most recent
Link >Send
unable to communicate with the TI73. The problem is usually
associated with the
TIGRAPH LINK
cable and its connection to the
TI73 and/or to the computer. Make sure the cable is firmly
pushed in to the calculator and the computer.
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If this does not correct the problem, try a different
TIGRAPH LINK
cable and restart your computer. If you continue to receive this
error, please contact Customer Support
for assistance.
Flash Application Did Not Install
— Follow the steps below to
restart the installation.
1. If you selected
2. If you disconnected the
CANCEL
during the installation, skip to step 3.
TIGRAPH LINK
cable from either the
TI73 or the computer, reconnect the cable prior to restarting
the installation.
Within about 20 seconds after the installer is interrupted, an
error message appears on your computer. The installer exits
after you dismiss the error message, and the home screen
appears.
3. Retry the installation procedure.
If you continue to have difficulty, contact Customer Support.
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Validation Error
— Either this calculator does not have a
certificate to run the application, or electrical interference caused
a link to fail. Try to install the application again. If you continue to
receive this error, contact Customer Support
.
Checksum Error
— The
TIGRAPH LINK
software was not able to
verify that the application was fully installed. Try to install the
application again. If you continue to receive this error, contact
Customer Support.
Other Calculator Errors
— For information about other error
messages, refer to the error messages in Appendix B of the
TI73 guidebook, or contact Customer Support.
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Miscellaneous
Verify Maintenance Upgrade Version and Serial Number
1. Press
2. Select
ABOUT
.
.
3. Identify the version number and serial number.
-
The version number has the format
-
The serial number appears beneath the product ID
x.yy
.
number.
Check Amount of Flash Application Free Space
Geoboard requires one available application space. You might
need to remove another application to make room for Geoboard.
1. Press
2.
Select
Check APPs
3. Note the number of
.
.
Spaces Free
.
4. If you have no spaces free, remove an application.
TI-73 Geoboard Page 52
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Texas Instruments (TI) Support and Service Information
For general information
E-mail:
Phone:
ti-cares@ti.com
1800TICARES (18008422737)
For US, Canada, Mexico, Puerto Rico, and
Virgin Islands only
Home page:
http://education.ti.com/
For technical questions
Phone
: 19729178324
For product (hardware) service
Customers in the US, Canada, Mexico, Puerto Rico, and Virgin
Islands:
Always contact TI Customer Support before
returning a product for service.
All other customers:
Refer to the leaflet enclosed with your
product (hardware) or contact your local TI
retailer/distributor.
TI-73 Geoboard Page 53
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End-User License Agreement
Calculator Applications
IMPORTANT - Read this agreement (“Agreement”) carefully before installing the software program(s) and/or
calculator application(s). The software program(s) and/or calculator program(s) and any related
documentation (collectively referred to as the Program) are licensed, not sold, by Texas Instruments
Incorporated (TI) and/or any applicable licensors (collectively referred to as Licensor). By installing or
otherwise using the Program, you agree to be bound by the terms of this license. If the Program was
delivered to you on diskette(s) or CD and you do not agree with the terms of this license, return this package
with all its contents to the place of purchase for a full refund of any license fee paid. If the Program was
delivered to you over the Internet and you do not agree with the terms of this license do not install or use the
Program and contact TI for instructions on obtaining a refund of any license fee paid.
Specific details of the license granted depend upon the license fee you paid and are set forth below. For purposes of
this Agreement, a site (“Site”) consists of one entire physical campus of an educational institution accredited by an
association recognized by the U.S. Department of Education or the State Board of Education, or by their equivalents
in other countries. All additional terms of the Agreement apply regardless of the license granted.
SINGLE USER LICENSE
If you paid a license fee for a Single User License, Licensor grants to you a personal, non-exclusive, non-transferable
license to install and use the Program on a single computer and calculator. You may make one copy of the Program
for backup and archival purposes. You agree to reproduce all copyright and proprietary notices shown in the Program
and on the media. Unless otherwise expressly stated in the documentation, you may not duplicate such
documentation.
EDUCATIONAL MULTIPLE USER LICENSE
If you paid a license fee of an Educational Multiple User License, Licensor grants you a non-exclusive, nontransferable license to install and use the Program on the number of computers and calculators specified for the
license fee you paid. You may make one copy of the Program for backup and archival purposes. You agree to
reproduce all copyright and proprietary notices shown in the 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. All the computers and calculators on which the Program
is used must be located at a single Site. 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.
EDUCATIONAL SITE LICENSE
If you paid a license fee for an Educational Site License, Licensor grants you a non-exclusive, non-transferable
license to install and use the Program on all institution, teacher, or student owned, leased or rented computers and
calculators located or used at the Site for which the Program is licensed. Teachers and students have the additional
right to use the Program while away from the Site. You may make one copy of the Program for backup and archival
purposes. You agree to reproduce all copyright and proprietary notices shown in the Program and on the media.
Except as expressly stated herein or in the documentation, you may not duplicate such documentation. In cases
TI-73 Geoboard Page 54
Page 55
where 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.
Additional Terms:
WARRANTY DISCLAIMER AND DAMAGES EXCLUSIONS AND LIMITATIONS
Licensor does not warrant that the Program will be free from errors or will meet your specific requirements. Any
statements made concerning the utility of the Program are not to be construed as express or implied warranties.
LICENSOR MAKES NO CONDITIONS OR WARRANTIES, EITHER EXPRESS OR IMPLIED, INCLUDING BUT
NOT LIMITED TO ANY IMPLIED CONDITIONS OR WARRANTIES OF MERCHANTABILITY, FITNESS FOR A
PARTICULAR PURPOSE, OR NON-INFRINGEMENT REGARDING THE PROGRAM AND MAKES THE
PROGRAM AVAILABLE ON AN "AS IS" BASIS.
Although no warranty is given for the Program, the media, if the Program was delivered to you on diskette(s) or CD,
will be replaced if found to be defective during the first ninety (90) days of use, when the package is returned postage
prepaid to TI. THIS PARAGRAPH EXPRESSES LICENSOR'S MAXIMUM LIABILITY AND YOUR SOLE AND
EXCLUSIVE REMEDY FOR DEFECTIVE MEDIA.
LICENSOR SHALL NOT BE RESPONSIBLE FOR ANY DAMAGES CAUSED BY THE USE OF THE PROGRAM,
OR SUFFERED OR INCURRED BY YOU OR ANY OTHER PARTY INCLUDING BUT NOT LIMITED TO SPECIAL,
INDIRECT, INCIDENTAL OR CONSEQUENTIA L DAMAGES, EVEN IF LICENSOR HAS BEEN ADVISED OF THE
POSSIBILITY OF SUCH DAMAGES. IN JURISDICTIONS WHICH ALLOW TEXAS INSTRUMENTS TO LIMIT ITS
LIABILITY, TI’S LIABILITY IS LIMITED TO THE APPLICABLE LICENSE FEE PAID BY YOU.
Because some states or jurisdictions do not allow the exclusion or limitation of incidental or consequential damages
or limitation on how long an implied warranty lasts, the above limitations or exclusions may not apply to you.
GENERAL
This Agreement will immediately terminate if you fail to comply with its terms. Upon termination of this Agreement,
you agree to return or destroy the original package and all whole or partial copies of the Program in your possession
and so certify in writing to TI.
The export and re-export of United States original software and documentation is subject to the Export Administration
Act of 1969 as amended. Compliance with such regulations is your responsibility. You agree that you do not intend to
nor will you, directly or indirectly, export, re-export or transmit the Program or technical data to any country to which
such export, re-export or transmission is restricted by any applicable United States regulation or statute, without the
proper written consent or license, if required of the Bureau of Export Administration of the United States Department
of Commerce, or such other governmental entity as may have jurisdiction over such export, re-export or transmission.
TI-73 Geoboard Page 55
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If the Program is provided to the U.S. Government pursuant to a solicitation issued on or after December 1, 1995, the
Program is provided with the commercial license rights and restrictions described elsewhere herein. If the Program is
provided to the U.S. Government pursuant to a solicitation issued prior to December 1, 1995, the Program is provided
with "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-73 Geoboard Page 56
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Page Reference
This PDF document contains electronic bookmarks designed for easy onscreen navigation. If you decide to print this document, please use the page
numbers below to find specific topics.
Important Information............................................................................................. 2
What is Geoboard?................................................................................................3
What You Will Need...............................................................................................4
Where to Find Installation Instructions................................................................... 5
Getting Help...........................................................................................................5
Getting Started.......................................................................................................6
Working with Boards............................................................................................ 15
Creating and Deleting Objects............................................................................. 19
Saving and Sharing Boards .................................................................................25
Measuring Objects............................................................................................... 29
Transforming Objects...........................................................................................38
Removing the Geoboard Application ...................................................................44
Removing Saved Boards .....................................................................................44
Troubleshooting / Interpreting Messages.............................................................46
Texas Instruments (TI) Support and Service Information.................................... 53
End-User License Agreement.............................................................................. 54
TI-73 Geoboard Page 57
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