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
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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:
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
p
p
p
p
p
p
p
p
p
pp
p
p
p
p
p
p
p
p
p
p
p
p
p
p
p
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.
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.
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.
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.
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.
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.
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?
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).
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)?
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.
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?
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.
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.