Texas instruments TI-10 A Guide for Teachers

TI.10:
A Guide for Teachers
Developed by
Texas Instruments Incorporated
Activities developed by
Dr. Jane Schielack
Dr. Jane Schielack is an Associate Professor of Mathematics Education in the Department of Mathematics at Texas A&M University. She developed the examples in the
How to Use the TI-10
Activities
section of this guide.
section and assisted in evaluating the appropriateness of the
Important Notice Regarding Book Materials
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Note
: Using calculators other than the TIN10 may produce results different from those described in these
materials.
solely
on an “as-is” basis. In no event shall Texas Instruments be liable to anyone for
Permission to Reprint or Photocopy
Permission is hereby granted to teachers to reprint or photocopy in classroom, workshop, or seminar quantities the pages or sheets in this book that carry a Texas Instruments copyright notice. These pages are designed to be reproduced by teachers for use in classes, workshops, or seminars, provided each copy made shows the copyright notice. Such copies may not be sold, and further distribution is expressly prohibited. Except as authorized above, prior written permission must be obtained from Texas Instruments Incorporated to reproduce or transmit this work or portions thereof in any other form or by any other electronic or mechanical means, including any information storage or retrieval system, unless expressly permitted by federal copyright law.
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Copyright © 2001 Texas Instruments Incorporated
Except for the specific rights granted herein, all rights are reserved.
Printed in the United States of America.
Automatic Power Down, APD, and EOS are trademarks of Texas Instruments Incorporated.

Table of Contents

E
CHAPTER PAGE
About the Teacher Guide
About the TI-10
............................................ v
.......................... iv
Activities................................................ 1
The Value of Place Value .............................2
Place value
What’s the Problem?...................................7
Number sentences, Problem solving
Comparing Costs........................................11
Division with quotient/remainder or decimal result
How to Use the TI-10.........................15
1 Display, Scrolling, Order of
Operations, and Parentheses...........16
2 Clearing and Correcting ......................19
3 Menus.................................................... 23
4 Basic Operations................................26
CHAPTER PAG
Appendix A ................................................A-1
Quick Reference to Keys
Appendix B.................................................B-1
Display Indicators
Appendix C................................................. C-1
Menu Map
Appendix D.................................................D-1
Error Messages
Appendix E.................................................E-1
Support, Service, and Warranty
5 Constant Operation...........................33
6 Whole Numbers and Decimals......... 38
7 Memory ..................................................42
8 Problem Solving: Auto Mode ............ 47
9 Problem Solving: Manual Mode ........ 54
10 Place Value............................................62
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
iii

About the Teacher Guide

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How the Teacher Guide Is Organized
This guide consists of two sections: and
How to Use the TI-10
section is a collection of activities for integrating the TI-10 into mathematics instruction. The is designed to help you teach students how to use the TI-10 features.
Activities
The activities are designed to be teacher­directed. They are intended to hel develop mathematical concepts while
orating the TI-10 as a teaching tool.
incor Each activity is self-contained and includes the following:
An overview of the mathematical
purpose of the activity.
The mathematical conce
developed.
The materials needed to
activity.
A student activity sheet.
How To Use the TI-10
Section
. The
Activities
Activities
section
ts being
erform the
Things to Keep in Mind
While many of the exam
trans develo were not designed s purpose.
For maximum flexibility, each exam
and activity is inde others. Select the trans master for the key your students need to use to develo conce an a mathematical conce teaching.
If an exam
a grade level, use it to teach the function of the key(s), and then provide relevant examples of your own.
To ensure that students start at the
same clear the TI-10, and then clear the display.
arency masters may be used to
mathematical concepts, they
the mathematical
ts you are teaching. Then select
riate activity for the
le does not seem
riate for your curriculum or
oint, have them press b to
les on the
ecifically for that
endent of the
arency
t you are
ress ” to
le
How to Use the TI.10
This section contains examples on trans numbered and include:
© 2001 T
arency masters. Chapters are
An introductory TI-10 keys the location of those keys on the TI-10 keyboard, and the functions of those keys.
The trans the introductory
ractical applications of the keys
of being discussed. The keys being discussed are shown in black on an illustration of the TI-10 keyboard.
EXAS INSTRUMENTS INCORPORATED
arency masters following
age describing the
resented in the examples,
ertinent notes about
age provide examples
Section
How to Order Additional Teacher Guides
To place an order or to request additional information about Texas Instruments (TI) products, contact us.
Phone:
E-mail:
Home page:
You may download and print your own copy of this Teacher Guide from this web page.
education.ti.com/guides
TI-10: A Guide for Teachers
1-800-TI-CARES
(1-800-842-2737)
ti-cares@ti.com
education.ti.com
iv
About the TI.10
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Two-Line Display
The first line displays an entry of up to 11 characters. Entries begin on the to the entry does not fit on the first line, it
s to the second line. When space
wra
ermits, both the entry and the result
appear on the first line.
The second line dis If the entry is too long to fit on the first line, it wra result do not fit on the first line, the result is dis Results longer than 10 digits are dis scientific notation.
If an entry does not fit on two lines, it continues to wra the last two lines of the entry. You can view the beginning of the entry by scrolling u this case, only the result a press
s to the second line. If both entry and
layed right-justified on the second line.
®
.
lays up to 11 characters.
, so that you always see
ears when you
left. If
layed in
. In
Display Indicators
Refer to Appendix B for a list of the display indicators.
Error Messages
Refer to Appendix D for a listing of the error messages.
Order of Operations
The TI-10 uses the Equation Operating System (EOSé) to evaluate ex
eration priorities are listed on the
o
Scrolling, Order of O
transparency master in the
Section.
TI-10
Because o
erformed first, you can use X and Y to change the order of o change the result.
erations inside parentheses are
erations, and Parentheses
erations and, therefore,
ressions. The
Display,
How to Use the
Menus
The
To move u
To move the cursor and underline a
To return to the
To select a menu item,
To return to the
Refer to Appendix C for more information about menus.
key displays menus.
or down through the
menus, press
menu item, press ! or ".
without selecting the menu item,
or
or
while the item is underlined.
or $.
#
revious screen
.
®
ress
revious screen, press
.
ress
Previous Entries (History)
After an expression is evaluated, use and $ to scroll through previous entries and results, which are stored in the TI-10 history.
#
Problem Solving (‹)
The Problem Solving tool has three features that students can use to challenge themselves with basic math o place value.
Problem Solving Automatic mode
rovides a set of exercises to challenge the students’ skills in addition, subtraction, multiplication, and division.
Problem Solving Automatic mode lets
students select the level of difficulty (1, 2, or 3) and the ty
P
, or ?).
x,
Problem Solving Manual mode lets
students com which may include missing elements or inequalities.
e of operation (+, –,
ose their own problems,
erations and
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
v
About the TI.10
(Continued)
Problem Solving Place Value has three
options that let students:
Find the place value of a given digit.
Find how many ones, tens, hundreds,
thousands, tenths, or hundredths are in a given number.
Find the digit in the ones, tens,
hundreds, thousands, tenths, or hundredths place of a given number.
Resetting the TI.10
You can reset the TI-10 in any of the following ways:
Press
Press
Press
Y
When you reset the TI-10, displayed. Press
b
.
(yes), and then press
and
simultaneously.
, select the
to clear the display.
MEM CLEARED
RESET
®
menu, select
.
Automatic Power DownTM (APDTM)
If the TI-10 remains inactive for about five minutes, Automatic Power Down (APD) turns it off automatically. To turn the TI-10 on again after APD, press −. The display,
pending operations, settings, and memory are retained.
is
Resetting the TI-10:
Returns settings to their defaults:
Standard notation (floating decimal)
Problem Solving
Quotient and Remainder results for
division
Difficulty Level 1 (addition) in Problem
Solving tool
Type of Operation — addition
Clears:
Pending operations
Entries in history
The constant (stored operation)
Any error condition
AUTO
mode
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
vi

Activities

The Value of Place Value 2
What’s the Problem? 7
Comparing Costs 11
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
1

The Value of Place Value

Overview
Students will build their flexibility in using numbers by exploring the connections between the number symbols and their representations with base-ten materials.
Introduction
1. Read
2. Divide students into several groups. Give each
3. Tell students you have run out of unit pieces and
4. Have students explore the answer to this
5. Have students compare their solutions with the
Counting On Frank
by Rod Clement. Discuss other kinds of questions that a person could ask about how many objects fit in or on other objects.
group a large pile of units (over 300) from the base-ten materials. Tell them that this is how many jelly beans fit into a jar that you filled. Ask them to count the “jelly beans.” Observe the techniques they use to count (counting one at a time, making groups of 10, etc.).
then ask:
How many rods (groups of 10) would I need to use to make a pile of “jelly beans” the same size as yours?
problem with their units, or they can apply their knowledge of place value. Then show them how to explore the answer using the TI-10.
base-ten materials to the TI-10 display. (They can make 31 tens rods from the 314 units, with 4 units left over.)
Math Concepts
Grades 2 - 4
whole number
place value (through thousands)
money
Grades 4 - 6
decimal place value
(through hundredths)
metric units
(meters, decimeters, centimeters)
³
To use the Place Value feature for this activity:
1. Press
2. Press
3. Press
4. Press
³
To explore answers to this problem on the TI-10:
1. If necessary, press
2. Enter 314, the number of
3. Press
‹ "
MAN
(manual) mode, if
necessary.
$
Place Value feature to
11 –.
This lets you find out how many ones, tens, hundreds, etc., there are in a number.
Note:
You can use the
1 –.
Place Value feature to find what digit is in the ones, tens, hundreds, etc., place.
to return to the
entry screen.
enter the Problem Solving tool.
units.
Œ
many tens there are in
314. The display shows
31
, indicating there are
ê
31 tens in 314.
Materials
‡.
®
to select
®
to set the
to see how
TI-10
pencil
Counting on
by
Frank
Rod Clement
base-ten materials
student activity (pages 5 and 6)
to
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
2
The Value of Place Value
(Continued)
Collecting and Organizing Data
Have students use their base-ten materials and TI-10s to continue exploring other numbers and identifying how many units, tens, hundreds, and thousands those numbers contain. Older students can find how many tenths and hundredths are in the numbers. Encourage exploration with questions such as:
How many hundreds are in 120? 2478? 3056?
How many tens are in 120? 2478? 3056?
How many units (ones) are in 120? 2478?
3056?
What numbers can you find that have 12 units?
12 tens? 12 hundreds?
What numbers can you find that have 60 units?
60 tens? 60 hundreds?
Analyzing Data and Drawing Conclusions
Have students use the tables on
Value
Student Activity pages to record their findings and identify the patterns they see. To help them focus on the patterns, ask questions such as:
The Value of Place
³
In ‹ (Problem Solving) (manual) mode, students can use the feature to test their conjectures. For example, if they think 1602 has 160 hundreds, they enter press They can then use base-ten materials to see why there are only 16 hundreds in 1602.
Note: – 1 –.
find what digit is in the hundreds place. They enter
1602
ê6êê
is the digit in the hundreds place.
11 –.
Place Value
Œ ‘
Students can use the
place value feature to
, press
. This result means that
, and see
Œ ‘
, and see
MAN
1602
16
,
êê
.
6
How does the number of tens in 1314 compare
to the number 1314? How about 567? 2457? 4089, etc.?
If you cover the digit in the units place, you see how many tens are in a number.
How does the number of hundreds in 1314
compare to the number 1314? How about 567? in 2457? in 4089, etc.?
If you cover the digits to the right of the hundreds place, you see how many hundreds are in a number.
How does the display on the TI-10 compare to
what you can do with the base-ten materials?
If the TI-10 displays
31_
, for 316, you should be
able to make 31 tens rods out of 316 units.
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
3
The Value of Place Value
Continuing the Investigation
Connect the place-value patterns to money. For example, ask students:
If each one of your “jelly beans” costs a penny,
how many pennies would you spend for 1,314 jelly beans?
1,314 pennies
How many dimes (tens) would you spend?
131 dimes and 4 more pennies
How many dollars (hundreds)?
13 dollars, plus 14 more pennies, or 1 dime and 4 pennies
Older students can record the money and enter it into the TI-10 in decimal form, 13.14. Then, they can use the TI-10 to connect dimes to 1/10 (0.1) of a dollar ($13.14 has 131 dimes or tenths). They can also connect pennies to 1/100 (0.01) of a dollar ($13.14 has 1314 pennies or hundredths).
(Continued)
Older students can also connect the place-value patterns to conversions between metric units. For example, a measurement of 324 centimeters can also be recorded as 32.4 decimeters (or rounded to 32 dm) because 1 dm = 10 cm, or it can be recorded as 3.25 meters (or rounded to 3 m) because 1 m = 100 cm.
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
4
The Value of Place
Name _____________________________
Date _____________________________
Value, Part A
Collecting and Organizing Data
1. Use your base-ten materials and your TI-10 to explore how many tens, hundreds, and thousands are in a number. Record your observations in the table.
Number
Number of
Thousands
2. What patterns do you see?
Number of
Hundreds
Number of
Tens
Analyzing Data and Drawing Conclusions: Patterns
1. Write 5 numbers that have 15 tens.
__________________________________________________________________________________
2. Write 5 numbers that have 32 hundreds.
__________________________________________________________________________________
3. Write 5 numbers that have 120 tens.
__________________________________________________________________________________
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
5
The Value of Place
Name _____________________________
Date _____________________________
Value, Part B
Collecting and Organizing Data
1. Use your base-ten materials and your TI-10 to explore how many tenths and hundredths are in a number. Record your observations in the table. What patterns do you see?
Number Number of
Tenths
2. What patterns do you see?
Number of
Hundredths
Analyzing Data and Drawing Conclusions: Patterns
1. Write 5 numbers that have 15 tenths.
__________________________________________________________________________________
2. Write 5 numbers that have 32 hundredths.
__________________________________________________________________________________
3. Write 5 numbers that have 120 tenths.
__________________________________________________________________________________
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
6

What’s the Problem?

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Overview
Students will connect number sentences to problem situations and use addition, subtraction, multiplication, and division to solve the problems.
Introduction
1. On a sentence strip or on the overhead, display a number sentence, such as 8 + 2 = ?. Have students brainstorm situations and related questions that this number sentence could represent and then ask:
If I bought eight postcards on my vacation, and I had two postcards already at home, how many postcards do I have now?
2. If necessary, have students act out the situation with counters and determine that the value of ? is
10.
3. Demonstrate how to display this equation on the TI-10 and how to tell the TI-10 what the value of ? is.
Math Concepts
Grades 1 - 5
addition,
subtraction
number sentences
(equations)
Grades 3 - 5
lication,
multi
division
inequalities
³
To display
1. Press put the TI-10 in Problem Solving mode.
2. Press menu.
3. Press The TI-10 displays (one whole number solution).
4. Enter 10 and press to test the solution. The TI-10 displays the equation and
8 + 2 = ?
‡ "
MAN
to exit the
8 T 2 Z
Materials
TI-10
counters
pencil
student
activity (page 10)
:
®
(manual)
 ®
1 SOL
®
YES
.
to
.
³
4. Now display an equation such as ? - 10 = 4. Have students brainstorm situations and related questions that this number sentence could represent.
I had some money in my pocket, and I spent 10 cents of it. I only have 4 cents left. How much money did I have in my pocket to begin with?
Have students practice the keystrokes necessary to display this equation and test the value they
If an incorrect value is tested
no
no
,
, shows
for ?, the TI-10 displays and provides a hint. For example, if a student tests 15 for the equation the TI-10 displays
15 - 10 > 4
to the original equation.
Note:
After three incorrect answers, the TI-10 displays the correct answer.
? - 10 = 4
, and then returns
determine for ?.
5. Over a period of time, continue to introduce students to different types of number sentences to explore. For example, ? x ? = 24 (which has 8 solutions of whole number factor pairs) and ? x 4 = 2 (which has no whole number solution).
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
7
What’s the Problem?
Collecting and Organizing Data
As an ongoing activity, have students work in pairs and use the page to create problem-solving cards. One partner is responsible for the calculations on the TI-10, and the other partner is responsible for writing number sentences.
1. Have the partner responsible for writing number sentences create an addition, subtraction, multiplication, or division number sentence, using the ?, and then, record the number sentence in the top box on Page 10.
2. Have the partner responsible for the TI-10 enter the number sentence into the calculator.
3. Have the partner responsible for writing number sentences create a situation and question to go with the number sentence and then record this information in the bottom box.
What’s the Problem?
Student Activity
(Continued)
The partners can work together to glue or tape the two boxes to opposite sides of an index card.
Have students work together using the TI-10 to explore how many whole number solutions the equation has and test those solutions. Provide ideas for exploration by asking questions such as:
What actions could be happening in your story
to go with addition (subtraction, multiplication, or division)?
How could you use the counters to act out this
number sentence?
What could this number in the number sentence
represent in your story?
What could the question mark in the number
sentence represent in your story?
Can you make a story for a number sentence
that begins with a question mark?
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
8
What’s the Problem?
(Continued)
Analyzing Data and Drawing Conclusions
To help student focus on thinking about the relationships between their stories and the numbers and operations in their number sentences, ask questions such as:
How would using a different number here
change your story?
How would using a greater than or less than
symbol instead of an equal sign in the number sentence change your story?
How would using a different operation in your
number sentence change your story?
Continuing the Investigation
Have partners create stories and trade them. Each partner can then write a number sentence to go with the other partner’s story.
Have students sort their number sentences into categories. For example, those with no whole number solutions, those with 1 whole number solution, those with 2 whole number solutions, and those with infinite whole number solutions.
Have students try to find an equation or inequality with exactly no whole number solutions, exactly 1 whole number solution, exactly 2 whole number solutions, more than 5 whole number solutions, etc.
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
9
Name _____________________________
What’s the Problem?
Date _____________________________
1. Write a number sentence using an operation and the ?.
2. Write a story that describes a situation and asks a question that can be represented by the number sentence.
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
10

Comparing Costs

Overview
Students will solve a problem using division with an integer quotient and remainder, solve the same problem using division with the quotient in decimal form, and then compare the results.
Introduction
1. Introduce this problem.
The maintenance department has determined that it will cost $.40 per square yard to maintain the district’s soccer field each year. The soccer field is 80 yards wide and 110 yards long. The six schools that play on the field have decided to split the cost evenly. How much should each school contribute to the soccer field maintenance fund this year?
2. Have students use the TI-10 to solve this problem in two ways:
Find the integer quotient and remainder.
Find the quotient in decimal form.
Math Concepts
division
multiplication
fractions
decimals
The TI-10 default division setting ( integer quotient with a remainder.
QR
) displays an
Materials
TI-10
pencil
student
activity (page 14)
Collecting and Organizing Data
Students should record their procedures and results on the help them focus on their thinking, ask questions such as
Comparing Costs
Student Activity page. To
:
What did you enter into the TI-10 to solve the problem?
80
110
V
Z to determine the area of the
soccer field.
0.40
V
W
Z to find the total maintenance cost.
6
Z to find the cost for each school in
decimal form.
To display a quotient in decimal form:
1. Press TI-10.
2. Press ‡ " to underline
(decimal format).
Ù
3. Press decimal setting.
4. Press ‡ to exit the
b
®
to select the
to reset the
P (division) menu and
return to the previous screen.
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
11
Comparing Costs
Could you have solved the problem more
efficiently? How?
80 x 110 can be calculated mentally, and the key presses can be simplified to
How are your procedures alike for each type of
solution?
The procedures all involve finding how many square yards in the soccer field; they all involve multiplication and division.
How are they different?
You use different keys to tell the TI-10 in what form you want the answer displayed.
(Continued)
8800
V
.4
W
6
Z.
Analyzing Data and Drawing Conclusions
To guide students in the analysis of their data, ask questions such as:
How are your solutions in the two forms alike?
The solutions all have a whole number component of 586.
How are your two solutions different?
The remainder form just tells how many dollars are left over. The decimal form tells how much more than $586 each school has to pay.
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
12
Comparing Costs
What happens if you multiply each solution by
6 to check it?
For the quotient and remainder form, when you multiply 586 by 6, you get 3516, so you must then add the remainder, 4, to get the total cost of $3520.
If you multiply the decimal result 586.6666667 by
586.6666667
6 ( this result does not make sense because 6 x 7 does not end in a 0!
Because we are referring to money calculations, you can fix the decimal result, 586.6666667, to 2 decimal places ( you multiply the rounded number 586.67 by 6
586.67
(
V 6 Z), you get 3520.00. This result still
does not make sense because 6 x 7 = 42.
If you reset and clear the TI-10, and then multiply
586.67 by 6 (
3520.02. This calculation does make sense.
As a school, which form of the quotient would
you want to use?
Responses may vary. Some students may want to use the decimal form, since it is the closest to the representation of money. Some students may want to use the integer quotient and remainder form and suggest that the Central Office pay the $4.00 remainder.
V 6 Z), you get 3520. However,
586.6666667
b ”
586.67
Š ™
V 6 Z), you get
(Continued)
®
). When
For an integer division (with quotient and remainder), the TI-10 uses only the quotient of the result in subsequent calculations. The remainder is always droped.
The TI-10 only rounds the displayed result. The internally
not
stored value is When you fix 586.6666667 to 2 decimal places (586.67), and then multiply by 6, the TI-10
remembers
number (586.6666667), and uses it as the factor. But when you enter the rounded number, 586.67, the TI-10 uses the number you entered for the factor, calculating a product of 3520.02.
rounded.
the original
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
13
Name _____________________________
Comparing Costs
Date _____________________________
Collecting and Organizing Data
The Maintenance department has determined that it will cost $4.00 per square yard to maintain the district’s soccer field each year. The soccer field is 80 yards wide and 110 yards long. The 6 schools that play on the field have decided to split the cost evenly. How much should each school contribute to the soccer field maintenance fund this year?
1. Use division with an integer quotient and remainder to find the answer.
2. Use division with a quotient in decimal form to find the answer.
Analyzing Data and Drawing Conclusions
Write a short paragraph comparing the two solutions.
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
14
How to Use
the TI.10
1 Display, Scrolling, Order of
Operations, and Parentheses 16
2 Clearing and Correcting 19
3 Menus 23
4 Basic Operations 26
5 Constant Operation 33
6 Whole Numbers and Decimals 38
7 Memory 42
8 Problem Solving: Auto Mode 47
9 Problem Solving: Manual Mode 54
10 Place Value 62
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
15
Display, Scrolling, Order of
p
p
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p
p
p
p
j
p
Operations, and Parentheses
1
Keys
1.
2.
3.
o
X
You can have as many as eight parentheses at one time.
Y
!
right.
#
down through entries/results and menus.
ens a parenthetical expression.
closes a parenthetical expression.
and " move the cursor left and
and $ move the cursor up and
revious
Notes
The examples on the transparency
masters assume all default settings. Press b the TI-10 to the default settings and clear the display.
The EOSTM transparency master
shows the order in which the TI-10 completes calculations.
When using parentheses, if you
ress Z before pressing Y,
Syn Error is dis return to the previous display.
Operations inside parentheses are
erformed first. Use X and Y to change the order of o and, therefore, change the result.
layed. Press ” to
to reset
erations
Example: 1 + 2 x 3 = 7
3
(1 + 2) x 3 = 9
The first and second lines display
entries u begin on the left and scroll to the right. An entry always wra
1
2
the operator.
Results are displayed right-
ustified. If a complete problem does not fit on the first line, the result displays on the second line.
If an entry does not fit on two
lines, it continues to wra view the beginning of the entry by using
to 11 characters. Entries
to scroll.
#
s at
. You can
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
16

Equation Operating System (EOS™)

q
p
p
Priority Functions
1 (first) Expressions inside
parentheses ( ).
Functions that re
uire a
2
closing parenthesis ) and
recede the argument.
3 Negation (N).
4 Multiplication, implied
multiplication, division (
Q P
5 Addition and subtraction (
6 (last)
completes all operations.
Z
).
+
N
).
Because operations inside parentheses are
erformed first, you can use parentheses to
change the order of operations and,
therefore, change the result.
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
17

Order of Operations

(
1 + 2 x 3 =
Press Display
b”
á
1
T
2
V
3
1Û2Ý3
Z
Add
T
Multiply
V
Parentheses
Ú
7
X Y
1 + 2) x 3 =
Press Display
X V
1 3
T
Z
2
Y
Å1Û2ÆÝ3Ú
9
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
18

Clearing and Correcting

p
p
p
p
2
Keys
1.
2.
turns the TI-10 on and off.
clears the last digit you entered,
w
allowing you to correct an entry without re-entering the entire number.
3. In the Calculator tool, last entry, all
ending operations,
clears the
and any error conditions. You can then enter a new
roblem and
continue your calculation.
4.
resets the TI-10.
b
Notes
The examples on the transparency
masters assume all default settings. Press b
to reset
the TI-10 and clear the display.
You can reset the TI-10 in any of
the following ways:
Press b.
Press − and ” simultaneously.
Press
, select the RESET
menu, select Y (Yes), and then press
When you reset the TI-10, the
®
.
message MEM CLEARED is dis
layed. Press ” to clear the
display.
Resetting the TI-10 returns
settings to their defaults:
Standard notation (floating decimal)
Problem Solving Auto mode
1
4
3
Quotient and Remainder result
2
for division
Difficulty Level 1 (addition) in Problem Solving
Addition as the Ty
e of
Operation
Clears:
Pending operations
Entries in history
The constant (stored operation)
Any error condition
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
19
Clearing and Correcting
p
p
p
Notes (continued)
Pressing ” alone does not affect
the mode settings, memory, history, or constant.
In ‹ (Problem Solving)
(automatic) mode, you clear your answer from the display before you press
In ‹ (Problem Solving)
(manual) mode, clear your
®
or it lets you clear your answer
before you press
roblem before you press
ressing ” lets you
®
AUTO
ressing ” lets
®
.
MAN
.
2
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
20

Clearing entries

p
p
1. Enter 35 + 10.
2. Clear the entry and
o
eration.
ending
3. Enter 35 N 9.
4. Complete the calculation.
Press Display
b”
á
35
T
10
35Û10
á
á
Clear
35
Z
U
9
35Ü9
35Ü9
Ú
26
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
21
Correcting entry errors using
w
1. Enter 69 + 3.
2. Change the 9 to an 8.
3. Add 3.
4. Complete the calculation.
Press Display
b”
á
69
w w w
T
3
8
69Û3
á
68
á
Backspace
w
T
Z
3
68Û3
68Û3
á
Ú
71
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
22

Menus

p
p
p
p
p
p
p
p
p
3
Keys
1.
2.
dis
menus (See page 24).
‹ ‡
Solving tool menus (See page 25).
lays the Calculator tool
dis
lays the Problem
Notes
The examples on the transparency
masters assume all default settings. Press b the TI-10 and clear the display.
The Calculator tool is active when
you turn the TI-10 on. When the Calculator tool is active,
to access the Calculator
menus. See Calculator menu options.
Press ‹ to access the Problem
Solving tool. When the Problem Solving tool is active, the
indicator shows on the to
of the TI-10 dis Problem Solving tool is active,
ress
Solving menus. See the Problem Solving menu options.
age 24 for all the
lay. While the
to access the Problem
to reset
ress
age 25 for all
line
© 2001 T
EXAS INSTRUMENTS INCORPORATED
See Appendix C for a complete
menu map.
21
To select an option from any
menu, highlight the item you want and menu, press
Press
AUTO (automatic) and MAN (manual) modes in the Problem Solving tool.
Press c to change the level of
difficulty, while you’re in the Problem Solving reaching Level 3, the TI-10 cycles back to Level 1.
TI-10: A Guide for Teachers
ress
to toggle between the
]
. To exit the
®
again.
AUTO
mode. After
23
Menus
Calculator Tool
Press Menu Option Explanation Example
(Continued)
3
b ‡
b
b
$
$$
P
(Division)
OP
(Constant Operation)
CLEAR OP1 Y
QR
Ù
+ 1
?
(Yes)
(No)
n
Displays division results as a quotient and remainder.
Displays division results as a decimal.
Shows the constant operation on the display.
Hides the constant operation.
Clears the operation and value stored in OP1.
Retains the value and operation stored in OP1.
2 r 1
2.25
1 x 5 15
15
Y
CLEAR OP1
Y
CLEAR OP1
n
n
b
© 2001 T
RESET
$$$
EXAS INSTRUMENTS INCORPORATED
(No)
n
(Yes)
Y
Does not reset the calculator.
Resets the calculator.
TI-10: A Guide for Teachers
n
n
Y
RESET
Y
RESET
24
Menus
(Continued)
Problem Solving Tool
Press Menu Option Explanation Example
3
b
(Mode)
AUTO
(automatic)
‹ ‡
MAN
(manual)
Problem Solving AUTO (automatic) Mode
Press Menu Option Explanation Example
b
‹ ‡
$
OR
ê ë ì
(Level of
Difficulty)
1 2 3
c
b
‹ ‡
$$
(Type of
Operation)
Û Ü Ý Þ Ã
Default. Presents problems with one element missing.
Lets you compose your own problems with missing elements.
After Level 3 the TI-10 cycles back to Level 1.
Add, subtract, multiply, divide, find the operation.
5 + 2 = ?
5 + ?= 7
4 + ? = 10
10 - ? = 4
Auto
Auto
Auto
Problem Solving MAN (manual) Mode
Display options for Problem Solving Place Value only.
Press Menu Option Explanation Example
b
‹ ] ‡
$
© 2001 T
EXAS INSTRUMENTS INCORPORATED
å
(Place
Value)
11 -.
- 1 -.
Lets you find out how many ones, hundreds, thousands, tenths, or hundredths a number contains.
Lets you find out what digit of a number is in a specified place.
TI-10: A Guide for Teachers
Press 1234
Œ‘
‹ ƒ
1234 12_ _
Press 1234
Œ‘
‹ ƒ
1234 _2_ _
25

Basic Operations

pp
q
q
q
q
p
Keys
1.
2.
3.
4.
5.
6.
7. M lets you enter a negative number.
Notes
adds.
T
subtracts.
U
multiplies.
V
divides.
W
completes the operation.
Z
completes the entry.
®
The examples on the transparency masters assume all default settings. Press b
to reset the
TI-10 and clear the display.
There are two options for
displaying division results.
When the QR setting is selected, the result of division a
ears as quotient and remainder (__ r __). QR is the default setting.
When the decimal (
) setting is
Ù
selected, the result of division is displayed as a decimal.
If you use the result of division in a
subse
uent calculation, only the
uotient is used. The remainder is
dropped.
The maximum number of digits for
uotient and remainder is 5. The
uotient, remainder, and the r character together can total u 11 characters.
4
to
© 2001 T
EXAS INSTRUMENTS INCORPORATED
When the QR setting is selected
for division all numbers must be positive whole numbers.
If you attempt to divide by 0, a
0 ERROR message is displayed.
P
T, U, V, W, ®
, and Z work
with the built-in constants.
4
The negative symbol (L) will appear
3
2
1
5
6
7
smaller than the minus sign(N) in the display.
TI-10: A Guide for Teachers
26
7
Basic operations
2 + 5 N 6 =
Press Display
b”
2 6
T
Z
5
U
á
2Û5Ü6
3 x 4 P 2 =
Add, Subtract
T U
Multiply, Divide
V W
Ú
1
Equals
Z
Press Display
b”
3
V
4
W
2
á
3Ý4Û 2
Z
© 2001 T
EXAS INSTRUMENTS INCORPORATED
Ú
6½0
TI-10: A Guide for Teachers
2

Finding patterns in previous problems

p
Enter the problems. 1 + 1 = 1 + 2 = 1 + 3 = Review history (
revious problems)
to determine the pattern.
Press Display
b”
á
1
T
1
Z
1Û1
Ú
Add
T
History
# $
2
1
1
T
T
2
3
##
$
Z
Z
1Û2
1Û3
1Û1 1Û2
1Û2 1Û3
Ú
Ú
Ú Ú
Ú Ú
3
4
2 3
3 4
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
28

Entering negative numbers

p
The temperature in Utah was L3° C
A.M
at 6:00 tem
erature had risen 12° C. What
was the temperature at 10:00
Press Display
. By 10:00 A.M., the
A.M
b”
á
M
3
T
12
Z
3Û12
ä
Ú
9
Negative
M
.?
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
29

Division with remainders

p
p
Chris has 27 pieces of gum. He wants to share the
ieces evenly among himself and 5 friends. How many
ieces will each person get?
How many pieces will be left over?
Press Display
b”
á
27
W
6
Z
27
Ú
6
Þ
4½3
Divide
W
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
30

Division with decimal result

Set the division display option to decimal and divide 27 by 6.
Press Display
b ”
á
Ù Þ
‡ " ®
·
Þ
Ù Þ
á
Divide
W
Ù
ê
27
W
6
Z
27
Ù Þ
Ú
6
Þ
4Ù5
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
31

Calculating equivalent units of time

Sara ran 2 kilometers in 450 seconds. Convert her time to minutes and seconds.
450 seconds = ? minutes
? seconds
Press Display
b”
á
Divide
W
450
Z
W
60
450Þ60
(7 minutes, 30 seconds)
Ú
7½30
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
32

Constant Operation

p
j
p
p
p
pp
p
p
p
q
q
q
p
p
Keys
1.
Notes
lets you store an o
(+ N Q P) and a number as a constant for repeated use.
The examples on the transparency masters assume all default settings. Press b clear the display.
The constant operation is set in con
unction with
erform a calculation that uses the
T, U, V
to reset the TI-10 and
, or W key.
erator
when you
The constant operation works with
whole numbers and decimals.
When you use the constant
o
eration (›), a counter appears on the left side of the dis the result a side of the dis shows how many times the constant has been re number at the right exceeds 6 digits, the counter will not be shown. The counter returns to 0 after it reaches 99.
When you use division as the
o
eration for a constant, you can choose either division format setting ­(QR) or decimal ( only the subse remainder is dropped.
uent calculations; the
ears on the right
lay. The counter
uotient with a remainder
). For QR format,
.
uotient is used in
lay and
eated. If the
5
1
© 2001 T
EXAS INSTRUMENTS INCORPORATED
To clear a stored constant
operation:
Press b to reset the TI-10. (Press previous screen.)
Press the CLEAR OP1 menu, select Y, and then
ress
previous screen.
Note:
does not clear the constant.
TI-10: A Guide for Teachers
to return to the
Pressing
$ $
ress
®
to return to the
to scroll to
. Then
by itself
33

Addition as “counting on”

j
p
There are 4 frogs in a pond. If 3 more frogs
ump into the pond one at a time, how many frogs will be in the
Press Display
ond?
b”
á
Constant
operation
Add
T
› T
(store operation)
1
4
(initialize using 4)
(add 1, one at a time)
Op1
Û
1
Op1
Op1
4Û1 15
Op1
5Û1 26
Op1
6Û1
© 2001 T
37
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
34

Multiplication as “repeated addition”

p
p
Maria put new tile in her kitchen. She made 4 rows with 5 tiles in each row. Use re
eated addition to find how many tiles she used. Before you begin, set the TI-10 to hide the constant operation.
Press Display
b”
á
Constant
operation
Add
T
‡ $ " ®
(hide constant operation)
(clear the menu)
› T
(store the constant
eration)
o
5
0
(initialize using 0)
(Continued)
Û1
á
Û
5
á
0
Op1
Op1
¼Á
Ã
ííí
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
35
Multiplication as “repeated addition”
Press Display
(Continued)
Op1
1 5
Op1
210
Op1
315
Op1
420
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
36

Clearing the constant operation

Before entering a new operation in OP1, you must clear the current values.
Press Display
b”
á
$ $
·
êê
À»
ê
Op1
ê
Op1
ç
Ù
Þ
î
Mode menu
®
(clear OP1)
(exit mode menu)
© 2001 T
EXAS INSTRUMENTS INCORPORATED
Op1
À»
ê
ç
á
¼ÁÏ
TI-10: A Guide for Teachers
37

Whole Numbers and Decimals

p
p
p
p
Keys
6
1.
2.
enters a decimal point.
r
sets the number of decimal
Š
laces in conjunction with the Place
Value keys.
3.
Š 
rounds results to the
nearest thousand.
4. Š
rounds results to the
nearest hundred.
5. Š ’ rounds results to the
nearest ten.
6. Š “ rounds results to the
nearest one (unit).
7.
Š ˜
rounds results to the
nearest tenth.
8. Š
rounds results to the
nearest hundredth.
Notes
The examples on the transparency
masters assume all default settings. Press b
to reset
the TI-10 and clear the display.
The TI-10 automatically rounds the
result to the number of decimal
laces selected. Only the displayed value is rounded. The internally stored value is not rounded. The calculated value is
added with
trailing zeros if needed.
To remove the fixed decimal
setting, press Š r.
You must press Š before you
ress a Place Value key each time you want to change the number of places for rounding.
2
3
4
5
6
7
8
1
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
38
Whole Numbers and Decimals
p
p
6
Notes
(Continued)
All results are displayed to the fixed setting until you either clear the setting by the TI-10.
You can use r to enter a decimal with any number of regardless of the fixed decimal setting.
You can apply the Fix setting to an individual number that you entered, or to a result.
ressing
Š r
laces,
or reset
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
39

Setting the number of decimal places

p
p
Round 12.345 to the hundredths
lace, the tenths place, and the
tens
lace. Then cancel the Fix
setting.
Press Display
b”
á
12
r
345
12Ù345
Ú
®
12Ù345
Š ™
Fix
12Ù345Ú12Ù35
Fix decimal
Š
Hundredths
Tenths
˜
Tens
Š
˜
Š ’
Š r
(cancel Fix)
Fix
12Ù345
Fix
12Ù345
12Ù345
Ú
12Ù3
Ú
Ú
12Ù345
10
Ù
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
40

Addition with money

José bought ice cream for $3.50, cookies for $2.75, and a large soda for $.99. How much did he spend?
Press Display
b”
á
Š ™
r
3
r
2
r
99
50
75
Z
T
T
Fix
Fix
3Ù50Û2Ù75
ÛÙ
99
Ú
7Ù24
Fix decimal
Š
Hundredths
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
41

Memory

p
p
p
p
p
p
7
Keys
1.
adds the dis
`
memory.
2.
subtracts the dis
a
from the value in memory.
3.
|
recalls the contents of
memory to the dis
ressed twice, it clears the
memory.
layed result to the
layed result
lay. When
Notes
The examples on the transparency
masters assume all default settings. Press b ” to reset the TI-10 and clear the display.
You can store integers and
decimals in memory.
M is dis
layed anytime a value
other than 0 is in memory.
To clear the memory, press
twice.
You must press Z to complete an
o
eration before the result can be
entered into memory.
|
1
3
© 2001 T
EXAS INSTRUMENTS INCORPORATED
2
TI-10: A Guide for Teachers
42

Using memory to add products

p
(
)
Hamburgers 2 $1.19 = Milk shakes 3 $1.25 = Cou
on for each
milk shake 3 $.20 =
Total cost =
Press Display
b ”
á
Fix
Š ™
á
2
V
1
r
19
Z
Fix
2Ý1Ù19
Ú
2Ù38
Add to Memory
`
Subtract from
Memory
a
Memory
Recall
|
`
(add hamburgers to memory)
3
V
1
r
25
Z
`
(add milk shakes to memory)
3
V r
(compute discount)
Continued
20
Z
Fix M
2Ý1Ù19
Fix M
3Ý1Ù25
Fix M
3Ý1Ù25
Fix M
3
ÝÙ
20
Ú
Ú
Ú
Ú
2Ù38
3Ù75
3Ù75
0Ù60
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
43
Using memory to add products
Press Display
(Continued)
a
(deduct coupon from memory)
|
(recall total cost)
|
(clear the memory)
Fix M
ÝÙ
3
20
Fix M
5Ù53
Fix
5Ù53
Ú
0Ù60
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
44

Using memory to find averages

p
Dai has test scores of 96 and 85. He has weekly scores of 87 and 98. Find the average for each grou
of scores and then find the average of his two averages together in decimal form.
Press Display
b”
á
Ù Þ
‡"®
·
Þ
Ù
Ü
Add to memory
`
Add
T
Memory recall
|
85
2
W
`
87
96
Z
Z
T
T
98
Z
96Û85
181Þ2
M
181Þ2
M
87Û98
Ù Þ
Ú
Ú
Ú
Ú
181
Ù Þ
90Ù5
Ù Þ
90Ù5
Ù Þ
185
(Continued)
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
45
Using memory to find averages
Press Display
(Continued)
W
T
W
2
Z
_ Z
2
Z
M
185Þ2
92Ù5Û90Ù5
183Þ2
Ú
M
183
M
Ú
Ù Þ
92Ù5
Ù Þ
Ú
Ù Þ
91Ù5
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
46

Problem Solving: Auto Mode

p
)
p
p
p
p
p
p
p
p
Keys
8
1.
activates the Problem Solving tool.
In
AUTO
mode, Problem Solving dis exercises in addition, subtraction, multiplication, and division.
2.
lets you access the mode menu
to change between Automatic (
AUTO
In
) and Manual (
AUTO
mode, you can access the
MAN
modes.
Level of Difficulty, and the Ty Operation menus.
Note:
Auto, Level 1 , and Addition are the default
settings.
3.c changes to the next level of difficulty. After Level 3, it cycles back to Level
e of
lays
4.
toggles between MAN and
]
AUTO modes in the Problem Solving tool.
Notes
The examples on the transparency
masters assume all default settings. Press b
to reset
the TI-10 and clear the display.
In AUTO mode (default), the TI-10
resents problems with one element missing (for exam 5+2=? or 5+?=7 or 5?2=7).
If the answer entered by the
student is not correct, the TI-10 dis
lays no and gives a hint
in the form of < or >.
le,
After three incorrect answers, the
TI-10 provides the correct answer.
After every fifth problem, the TI-10
dis
lays a Scoreboard that tallies
4
1
2
3
the correct and incorrect answers.
You can check progress at any
time by dis momentarily. Press
ressing
, which
lays the Scoreboard
#
to review
previous problems.
In Problem Solving, you can view the
history, but you cannot edit.
To exit Problem Solving, press
again. The Scoreboard and
revious
entries are cleared when you exit.
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
47

Select level of difficulty

Choose the level of difficulty.
Press Display
b ”
á
‹ ‡
жи ккккк
Auto
Problem Solving
Mode
$
®
"
(to exit)
(Problems will vary from the example shown here.)
1 2 3
ê
êëì
1 2 3
êëì
ÛÃÚ
8
808
Auto
Auto
ê
Auto
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
48
Select level of difficulty using
c
Choose the level of difficulty.
Press Display
b ”
á
(default to Level 1)
3Û20Ú á
Auto
Ã
Problem Solving
Mode
c
(change to Level 2)
(view level of difficulty setting)
$
(return to problem)
2Û70Ú
Ã
á
1 2 3
êëì
2Û70
ÚÃ
á
Auto
Auto
ê
Auto
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
49

Select type of operation

p
Choose the type of operation:
– addition (+) – subtraction (N) – multi
lication (Q) – division (P) – find the operator (?)
Press Display
b ”
á
‹ ‡
жи ккккк
Auto
Problem Solving
Mode
$
$
" ®
(to exit)
1 2 3
ê
Û Ü Ý Þ Ã ê
Û
Ü Ý Þ
4Ü1Ú
Auto
êëì
Auto
Auto
Ü
Auto
Ã
Ã
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
50

Test your skills

Enter solutions to the problems that the TI-10 presents.
Press Display
b ”
á
‹ ‡
(problem is displayed)
жи ккккк
8Û3Ú á
Auto
Auto
Ã
Problem solving
Mode
11
®
(next problem; problems are random)
4
®
(problem is displayed again)
5
®
8Û3Ú11
À¹¾
ÛÃÚ
2
7
á
2Û4Ç7
»¼
ÛÃÚ
2
7
á
2Û5Ú7
Auto
Auto
Auto
Auto
Auto
© 2001 T
EXAS INSTRUMENTS INCORPORATED
À¹¾
TI-10: A Guide for Teachers
51

View the Scoreboard

p
p
p
After every fifth problem, the TI-10 dis
lays a scoreboard that tallies your correct and incorrect solutions.
You can also dis
lay the Scoreboard momentarily at any time by pressing
Press Display
(problem is displayed)
ХЫГЪЧ
.
Auto
Problem solving
Mode
(Scoreboard is displayed momentarily)
(exit menu; return to
roblem)
À¹¾ »¼
æè êêêê
ХЫГЪЧ
Auto
50
Auto
Auto
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
52

Find the operator

p
p
Change the type of operation to “find the o
erator” (?) and solve
the problems the TI-10 presents.
Press Display
b ”
á
Auto
‹ ‡
À¹¾ »¼
Problem solving
Mode
$ $
" " " " ®
V ®
00
Auto
Û Ü Ý Þ Ã ê
Auto
Û Ü Ý Þ Ã
Auto
8Ã6Ú48
Auto
8Ý6Ú48
À¹¾
ê
(Problems will vary from exam
© 2001 T
le shown here.)
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
53

Problem Solving: Manual Mode

p
p
p
p
p
p
q
Keys
9
1.
activates the Problem Solving
tool.
2.
lets you access the mode menu
to change between Automatic (
AUTO
In
) and Manual (
mode, you can access the
MAN
MAN
Place Value menu.
Note: 11-.
3.
missing element in
is the default Place Value setting.
lets the student indicate a
MAN
mode.
4.
[, \
, and Z let the student test
inequalities and equalities
) modes.
(manual)
.
5.
toggles between MAN and
]
AUTO modes in the Problem Solving tool.
Notes
The examples on the transparency
masters assume all default settings. Press b
to reset
the TI-10 and clear the display.
In MAN mode, the student
composes his or her own problems.
In MAN mode, for all operations
exce
t inequalities, the TI-10
accepts only integers.
You can enter no more than 11
characters into the display.
You can enter a problem that has
one solution, multi
le solutions, or
no solution. For example:
1
2
© 2001 T
EXAS INSTRUMENTS INCORPORATED
1 solution: 2+5=?, 2+?=7, 2?5=7
5
3
Multiple solutions: ?+?=1, ?+?=6
0 solutions: 3P2=? (There is no
ositive, whole
number solution.)
4
When a problem has no solution,
the TI-10 dis continues to until you press
Problem Solving Manual mode was
designed to deal with
lays no and
resent the problem
.
ositive whole numbers. In some cases, the e
uality/inequality feature allows
you to enter decimals.
TI-10: A Guide for Teachers
54
Problem Solving: Manual Mode
p
p
p
p
Notes (Continued)
Problems with two missing elements
may have multi has eight solutions.) These must be in the form of ?operator?=number.
You can check progress by pressing
to dis
Press problems.
to review previous
#
le solutions. (?x?=24
roblems
lay the Scoreboard.
9
When you first press
dis
lay shows the Scoreboard for a
moment before showing the menu.
For tests of inequalities, when the
TI-10 returns a no, the correct response is displayed immediately.
In Problem Solving, you can view the
history, but you cannot edit.
To exit Problem Solving, press ‹.
, the
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
55

Problems with one solution

q
p
Problems with one solution are
uations with one missing element
e (for exam
le 7+2=? or 7+?=9).
Enter a problem and find a solution.
Press Display
b ”
á
‹ ‡"
æè
®
êêêê
Problem solving
Mode
Missing element
5
U
3
 ®
2
®
5
T  Z
9
®
Z
á
5Ü3
5Ü3Ú2
5
ÚÃ
1
ÛÃÚ
1
¾¼º
À¹¾
9
¾¼º
(Continued)
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
56
7
Problems with one solution
Press Display
(Continued)
3
4
®
®
5Û3Ç9
»¼
5Û4Ú9
À¹¾
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
5

Problems with more than one solution

p
p
p
Problems with two missing elements may have more than one solution. Enter a
roblem, find the number of
solutions, and then find a solution.
Press Display
b ”
á
‹ ‡ " ®
æè
á
êêêê
Problem solving
Mode
Missing element
 T  Z
3
®
2
®
1
®
(Try another solution, or
ress ” to enter a new roblem.)
© 2001 T
EXAS INSTRUMENTS INCORPORATED
ÃÛÃÚ
4
ÛÃÚ
2
ÛÏÚ
2
3
¾¼º
3
3
À¹¾
S
TI-10: A Guide for Teachers
58

Problems with no solution

p
The TI-10 is not designed to handle certain ty result in a
es of problems. These will
0 SOL
(no solution)
response from the TI-10.
Press Display
b ”
á
‹ ‡ " ®
æè
êêêê
Problem solving
Mode
Missing element
1
U
2
Z
 ®
á
1Ü2ÚÃ
0
á
¾¼º
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
59

Less than, greater than, equal to

q
You can test inequalities and
ualities using the Problem Solving
e tool.
Press Display
b ”
á
‹‡ "
æè
®
á
Problem solving
Mode
Equals
Z
êêêê
Greater Than
\
2
T
2
T
5
T
®
5
r
50
r
1
Z
®
4
[
\
®
1
10
2Û1Ú1Û2
À¹¾
5Û4Ç10
À¹¾
Ù5ÈÙ
Ù5ÚÙ
50
»¼
50
À¹¾
Less Than
[
S
S
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
60

View the Scoreboard

p
p
p
After every fifth problem, the TI-10 dis
lays a scoreboard that tallies your correct and incorrect solutions.
You can also dis
lay the Scoreboard momentarily at any time by pressing
Press Display
(problem is displayed)
ХЫГЪЧ
.
Auto
Problem solving
Mode
(Scoreboard is displayed momentarily)
(exit menu; return to
roblem)
À¹¾ »¼
æè êêêê
ХЫГЪЧ
Auto
50
Auto
Auto
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
61

Place Value

j
Keys
10
1.
activates the Problem Solving
tool.
2.
lets you access the mode menu
to change between Automatic (
AUTO
In
) and Manual (
mode, you can access the
MAN
MAN
Place Value menu.
Note: 11-.
is the default Place Value setting.
) modes.
3.
activates the Place Value
Œ
feature when the TI-10 is in Problem Solving MAN mode. It also works in con
unction with these
keys:
Key Displays
 ‘ ’ “ ˜ ™
Number of thousands Number of hundreds Number of tens Number of ones Number of tenths Number of hundredths
Notes
The examples on the transparency
masters assume all default settings. Press b ” to reset the TI-10 and clear the display.
The Place Value feature works only
if you are in the Problem Solving MAN (manual) mode.
When the TI-10 Place Value feature
2
1
is active, the ƒ indicator shows on the top line of the display.
To exit Place Value, press ”. The
TI-10 returns to Problem Solving
3
MAN mode.
To exit Problem Solving completely,
press ‹.
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
62
Place Value
What is the Place Value of a Given Digit?
(Continued)
10
The ‹ (Problem Solving) mode setting must be
Follow these steps (See example on page 65).
1. Press b ” to reset the TI-10 and clear the display.
2. Press 
3. Press
4. Press Œ.
5. Press the desired digit.
If you enter 6, the TI-10 will display ____._6 briefly showing the location of the 6 and then displaying its value, 6 –> 0.01, meaning that the 6 is in the hundredths place.
Once Place Value is active, it is not necessary to press Œ before each digit you want to test. To test a new number; however, you must press ”, enter the new number, and then press Œ again.
How Many Ones, Tens, Hundreds, Thousands, Tenths, or Hundredths are in a Given Number?
‡ " ®
to exit the menu and then enter 1234.56.
to select Problem Solving
MAN
(manual).
mode.
MAN
The ‹ (Problem Solving) mode setting must be option must be set to
Follow these steps (See example on page 67).
1. Press b ” to reset the TI-10 and clear the display.
2. Press 
3. Press
4. Underline
5. Press
6. Press Œ.
7. Press “, ’,
If you press hundreds in the number. When you press meaning that there are 123,456 hundredths in the number.
‡ " ®
.
$
and press
11 –.
to exit the menu and then enter 1234.56.
‘, , ˜
11 –.
to select Problem Solving
.
®
, or
, the TI-10 will display 1 2 _ _ . _ _ , meaning that there are 12
.
, the TI-10 displays 1 2 3 4 5 6
(manual) and the display
MAN
MAN
mode.
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
63
Place Value
When a number includes a repeated digit, the TI-10 first analyzes its occurrence in the right-most position. To find the place value of other instances of the same digit, press the digit twice for the second occurrence, three times for the third occurrence, etc. Each time you press the given digit in succession, the displays shifts to next occurrence to the left of the original occurrence. (See page 66 for an example.)
(Continued)
10
To exit Place Value, press
(manual) mode.
MAN
What Digit of a Number is in a Given Place?
The ‹ (Problem Solving) mode setting must be option set to
Follow these steps (See example on page 68).
1. Press b ” to reset the TI-10 and clear the display.
2. Press 
3. Press
4. Underline
5. Press
6. Press Œ.
7. Press “, ’,
If you press of the 2 is in the hundreds place. The answer then clears so you can press another digit or place value key.
– 1 –.
‡ " ®
.
$
and press
– 1 –.
to exit the menu and then enter 1234.56.
‘, , ˜
, the TI-10 displays _ 2 _ _ . _ _ briefly showing that the location
and the TI-10 returns to Problem Solving,
(manual) and the display
MAN
to select Problem Solving
®
.
, or
.
MAN
mode.
Press
© 2001 T
to exit Place Value. The TI-10 returns to Problem Solving,
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
MAN
mode.
64

Determine place value

êêêê
Enter 1234.56. Determine the place value of 6 and 4.
Press Display
b ”
á
‹‡ "
æè
®
á
Problem Solving
Place Value
Œ
1234
Œ
6
4
r
56
ƒ
1234Ù56
á
‹ ƒ
1234Ù56
ннннЩн
‹ ƒ
1234Ù56
ÜÈ0Ù
6
‹ ƒ
1234Ù56
ííí4Ùíí
‹ ƒ
1234Ù56
6
01
© 2001 T
4
EXAS INSTRUMENTS INCORPORATED
ÜÈ
1
TI-10: A Guide for Teachers
65

Repeated digits

êêêê
Enter 123.43. Determine the place value of each 3.
Press Display
b ”
á
‹ ‡ "
æè
®
á
Problem solving
Place value
Œ
123
Œ
3
33
r
43
‹ ƒ
123Ù43
á
‹ ƒ
123Ù43
нннЩн
‹ ƒ
123Ù43
ÜÈ0Ù
3
‹ ƒ
123Ù43
íí3Ùíí
ƒ
123Ù43
3
01
© 2001 T
3
EXAS INSTRUMENTS INCORPORATED
ÜÈ
1
TI-10: A Guide for Teachers
66

How many?

êêêê
How many hundreds are in 1234.56? How many hundredths?
Press Display
b ”
á
‹ ‡"
æè
®
á
Problem solving
Place value
Œ
Hundreds
Hundredths
1234
Œ
r
56
‹ ƒ
1234Ù56
‹ ƒ
1234Ù56
ннЩнн
12
‹ ƒ
1234Ù56 123456
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
67

What’s the digit?

What digit is in the hundreds place in 1234.56?
Press Display
b ”
á
‹ ‡" ®
" ®
$
æè
ÜÙ ÜÏÜÙ
11
êêêê
кккккк
Problem solving
Place value
Œ
1234
Œ
r
56
á
ƒ
1234Ù56
ƒ
1234Ù56
н2ннЩнн
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
68

Quick Reference to Keys

Key Function
A
b
− ”
" !
# $
w
Turns the calculator on. If already on, turns the calculator off.
Clears the display and error condition.
Resets the TI-10.
Resets the TI-10. Hold down − and ” simultaneously for a few
seconds and then release.
Resetting the TI-10 completely clears the calculator, including all
Note:
menu settings, all entries in history, all values in memory, and the display. All default settings are restored.
Moves the cursor right and left, respectively, so you can scroll the entry line or select a menu item.
Moves the cursor up and down, respectively, so you can see previous entries and results or access menu lists.
Deletes the character to the left of the cursor before
In the Calculator tool, displays menus that let you:
Select the format for results of division. Choose Quotient with Remainder (QR) or decimal (.).
MEM CLEARED
MEM CLEARED
shows in the display.
shows on the display.
/·
êê
.
®
Þ
is pressed.
Ù
$
$ $
$ $ $
© 2001 T
Show (+1) or hide (?) the constant operator and operand in
Clear the constant operation (
Reset the TI-10.
EXAS INSTRUMENTS INCORPORATED
.
OP1
OP1
).
/Û1 Ã
êê
,
Àß ê
¼Á
/ç//î
//ß À// //ê ·¹Ó¹Ê
TI-10: A Guide for Teachers
A-1
Quick Reference to Keys
Key Function
A
‹ ‡
‹ ‡
‹ ‡
‹ ‡
$
$$
(
MAN
)
$
Toggles between the Calculator and Problem Solving tool.
In the Problem Solving tool, displays menus that let you:
Select (manual) mode.
Select Level of Difficulty.
(automatic) or
AUTO
MAN
æè
Auto
Auto
++1++2++3
êëì
Auto
ê
Auto
Select Type of Operation.
Select display options for Place Value feature. (This option is available only if
mode is selected.)
MAN
..ê
+ЫЬЭЮГ
ППЬЩО-- ÜÏÜÙ êêêê
]
c
[
\
Toggles between the
Moves to the next Level of Difficulty. After reaching Level 3, the TI-10 cycles back to Level 1.
Level 1: basic facts
Level 2: one digit numeral or two digit numeral with zeros in the
ones place
Level 3: up to three digit numerals
While in ‹ (Problem Solving)
missing element in an equation.
While in ‹ (Problem Solving)
inequalities.
While in ‹ (Problem Solving)
inequalities.
AUTO
and
MAN
MAN
MAN
mode in Problem Solving.
MAN
(manual) mode, lets you indicate a
(manual) mode, lets you test
(manual) mode, lets you test
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
A-2
Quick Reference to Keys
Key Function
A
Œ
d
Œ
Œ 
Œ ‘
Œ ’
Œ “
Œ ˜
Œ ™
Š
While in ‹ (Problem Solving)
the place value of a particular digit of a given number or, in conjunction with place value keys, you can determine how many thousands, hundreds, etc., a number contains or what digit is in a given place.
Determines the place value of the digit d (0 - 9) of a given number.
Tells how many thousands a given number contains or what digit is in the thousands place.
Tells how many hundreds a given number contains or what digit is in the hundreds place.
Tells how many tens a given number contains or what digit is in the tens place.
Tells how many ones a given number contains or what digit is in the ones place.
Tells how many tenths a given number contains or what digit is in the tenths place.
Tells how many hundredths a given number contains or what digit is in the hundredths place.
Sets the number of decimal places in conjunction with the Place Value keys. Only the displayed result is rounded; the internally stored value is not rounded. The calculated value is padded with trailing zeros if needed.
(manual) mode, you can determine
MAN
Š 
Š ‘
Š ’
Š “
Š ˜
Š ™
Š r
q h i j k l m n o p
T
U
V
Rounds results to the nearest thousand.
Rounds results to the nearest hundred.
Rounds results to the nearest ten.
Rounds results to the nearest one.
Rounds results to the nearest tenth.
Rounds results to the nearest hundredth.
Removes fixed decimal setting and returns to floating decimal.
Enters the numerals 0 through 9.
Adds. Enters the addition symbol in Problem Solving mode.
Subtracts. Enters the subtraction symbol in Problem Solving mode.
Multiplies. Enters the multiplication symbol in Problem Solving mode.
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
A-3
Quick Reference to Keys
p
Key Function
A
W
Z
®
r
M
X
Y
`
a
|
Divides. Enters the division symbol in Problem Solving mode with the result displayed as a quotient and remainder or a decimal, as determined by the division menu setting.
Completes operations. While in ‹ (Problem Solving)
mode, lets you enter = to test equalities.
Tests a solution in the Problem Solving tool. Selects a menu item in either the Calculator or Problem Solving tool. Completes an operation.
Inserts a decimal point.
Enters a negative sign. Does not act as an operator.
Opens a parenthetical expression.
Closes a parenthetical expression.
Adds displayed result to the value in memory.
Subtracts displayed result from the value in memory.
Recalls the memory value for use in a calculation when pressed once. When pressed twice, clears memory.
MAN
(manual)
$ $
®
Stores an operation with a constant value, which can be repeated by pressing the › key, as many times as desired. To store an operation
to
1. Press ›, enter the o
2. Press › to recall the stored operation.
To clear the contents of
®
and recall it:
OP1
erator and the value, and press › to save
the operation.
, press
OP1
. New operations can now be stored for repeated use.
$ $
, underline Y, and press
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
A-4

Display Indicators

B
Indicator
ƒ
Fix
M
Op1
Auto
Ù
P
y
z
w
x
Meaning
TI-10 is in the Problem Solving tool.
TI-10 is in the Place Value feature.
TI-10 is rounding to a specified place.
Indicates that a value other than zero is in memory.
An operator and a value is stored in
Indicates ‹ (Problem Solving) tool is in
Indicates that the result from the division feature will be displayed as a decimal.
Previous entries are stored in history, or more menus are available. Press menu lists.
Press
®
to access history. Press $ and # to access additional
#
!
and " to scroll and underline from a menu. You must press
to complete the selection.
OP1
.
AUTO
mode.
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
B-1

Menu Map

The TI-10 has two tools—the Calculator tool and the Problem Solving tool.
Calculator Tool Problem Solving Tool
C
P
Division Format menu
OP
Constant Operation
menu
CLEAR OP1
Clear Constant Operation
menu
RESET
Reset menu
AUTO MAN
Mode menu
êëì
Level of Difficulty
menu
+ - x P ?
Type of Operation
menu
ƒ
Place Value
menu
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
C-1
Menu Map
(
p
p
(continued)
C
Calculator Tool
The calculator tool is active when you turn on the TI-10. When the Calculator tool is active, press
to access the Calculator tool menus. Below are the Calculator menu screens.
P
Division Format menu
OP
Constant Operation menu
CLEAR OP1
Clear Constant Operation menu
RESET
Reset menu
Display division result as Quotient & Remainder format
·
êêê
Þ
Û1
êêê
¼Á
À»
ê
ç
ß À
ê
·¹¾¹Ê
¼ÁÏ
Ù
Ã
Display division result as Decimal format.
Show the line containing the constant operation (default).
Hide the line containing the constant o
Clear the constant operation
Yes. Clear the constant operation (default).
(default).
No. Do not clear the constant o
eration.
No. Do not reset the TI-10. (default).
Yes. Reset the TI-10 to default settings.
eration.
default).
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
C-2
Menu Map
Problem Solving
(continued)
C
The Problem Solving tool has two modes— choose menu. When you choose
Mode menu— Choose from two modes:
AUTO
(default) mode presents problems to solve.
MAN
lets you create problems to solve.
1 2 3
ê
mode, you can access the Level of Difficulty menu and the Type of Operations
AUTO
mode, you can access the Place Value menu.
MAN
AUTO
mode
жи ккккк
Auto
êëì
Level of Difficulty menu— Choose from three levels:
1 - easiest (default)
2
3 - hardest
(Automatic) and
AUTO
Auto
(Manual). When you
MAN
MAN
mode
11
ÜÙ ÜÏÜÙ
ккккк
å
Û Ü Ý Þ Ã
ê
© 2001 T
Auto
EXAS INSTRUMENTS INCORPORATED
Type of Operation menu— Choose from five options:
Add (default)
Subtract
Multiple
Divide
Find the operator
TI-10: A Guide for Teachers
Place Value menu— Choose from two options:
How many ones, tens, etc. are in a number? (default)
What digit is in the ones, tens, etc. place?
C-3

Error Messages

Message Meaning
D
Arith Error
Syn Error
P
0 Error
Mem Error
Op Error
Overflow Error
Underflow Error
Arithmetical error. You entered an invalid entry or an invalid parameter.
Syntax error. You entered an invalid or incorrect equation; for example,
or
5++2
Divide by 0 error. You attempted to divide by 0.
Error in attempting to store an entry in memory.
Error following steps for using
Overflow. The result is too large to fit within the boundaries of the display.
Underflow. The result is too small to fit within the boundaries of the display.
(5+2
.
.
OP1
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
D-1

Support, Service, and Warranty

E
Product Support
Customers in the U.S., Canada, Puerto Rico, and the Virgin
Islands
For general questions, contact Texas Instruments Customer Support:
phone:
e-mail:
For technical questions, call the Programming Assistance Group of Customer Support:
phone:
1-800-TI-CARES (1-800-842-2737)
ti-cares@ti.com
1-972-917-8324
Customers outside the U.S., Canada, Puerto Rico, and the
Virgin Islands
Contact TI by e-mail or visit the TI Calculator home page on the World Wide Web.
e-mail:
Internet:
ti-cares@ti.com
education.ti.com
Product Service
Other TI Products and Services
Customers in the U.S. and Canada Only
Always contact Texas Instruments Customer Support before returning a product for service.
All Customers outside the U.S. and Canada
Refer to the leaflet enclosed with this product or contact your local Texas Instruments retailer/distributor.
Visit the TI calculator home page on the World Wide Web.
education.ti.com
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
E-1
Support, Service, and Warranty
(Continued)
E
Warranty Information
Customers in the U.S. and Canada Only
One-Year Limited Warranty for Commercial Electronic Product
This Texas Instruments electronic product warranty extends only to the original purchaser and user of the product.
Warranty Duration.
warranted to the original purchaser for a period of one (1) year from the original purchase date.
Warranty Coverage.
warranted against defective materials and construction.
WARRANTY IS VOID IF THE PRODUCT HAS BEEN DAMAGED BY ACCIDENT OR UNREASONABLE USE, NEGLECT, IMPROPER SERVICE, OR OTHER CAUSES NOT ARISING OUT OF DEFECTS IN MATERIALS OR CONSTRUCTION.
Warranty Disclaimers. ANY IMPLIED WARRANTIES ARISING OUT OF THIS SALE, INCLUDING BUT NOT LIMITED TO THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE, ARE LIMITED IN DURATION TO THE ABOVE ONE-YEAR PERIOD. TEXAS INSTRUMENTS SHALL NOT BE LIABLE FOR LOSS OF USE OF THE PRODUCT OR OTHER INCIDENTAL OR CONSEQUENTIAL COSTS, EXPENSES, OR DAMAGES INCURRED BY THE CONSUMER OR ANY OTHER USER.
Some states/provinces do not allow the exclusion or limitation of implied warranties or consequential damages, so the above limitations or exclusions may not apply to you.
Legal Remedies.
may also have other rights that vary from state to state or province to province.
This Texas Instruments electronic product is
This Texas Instruments electronic product is
THIS
This warranty gives you specific legal rights, and you
Warranty Performance.
your defective product will be either repaired or replaced with a reconditioned model of an equivalent quality (at TI’s option) when the product is returned, postage prepaid, to Texas Instruments Service Facility. The warranty of the repaired or replacement unit will continue for the warranty of the original unit or six (6) months, whichever is longer. Other than the postage requirement, no charge will be made for such repair and/or replacement. TI strongly recommends that you insure the product for value prior to mailing.
Software.
warrant that the software will be free from errors or meet your specific requirements.
Copyright.
product are protected by copyright.
Software is licensed, not sold. TI and its licensors do not
All software is provided “AS IS.”
The software and any documentation supplied with this
During the above one (1) year warranty period,
All Customers outside the U.S. and Canada
For information about the length and terms of the warranty, refer to your package and/or to the warranty statement enclosed with this product, or contact your local Texas Instruments retailer/distributor.
© 2001 T
EXAS INSTRUMENTS INCORPORATED
TI-10: A Guide for Teachers
E-2
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