© 2000 T
EXAS
I
NSTRUMENTS
I
NCORPORATED
TI-15: A Guide for Teachers
7
Fraction Forms
(Continued)
4. Have students enter the division to show the
quotients in fraction form, and record the
resulting displays.
5. Have students explore the quotient with the
different combinations of settings and discuss
the different displays that occur. If necessary,
have them use manipulatives to connect the
meanings of the four different fraction forms.
6. Have students, working in groups of four, choose
a denominator and record the different fraction
forms on the activity sheet provided.
7. Have students share their results, look for
patterns, and make generalizations.
For example, for 6 ÷ 4
as a fraction, enter
6
4
¥
. The displays
in the different modes
will look like the
following:
n
d
man
6
4
n
d
auto
3
2
U
n
d
man 1
2
4
U
n
d
auto 1
1
2
Collecting and Organizing Data
To guide students in creating data that will exhibit
patterns in the fraction quotients, ask questions such as:
•
What denominator did you choose to explore
with? Why?
•
What denominators do you get with the settings
n
d
man
? With the settings
U
n
d
man
?
•
What denominators do you get with the settings
n
d
auto
? With the settings
U
n
d
auto
?
•
What denominator are you going to choose to
explore with next?
Example:
After exploring with denominators of 2 and 3,
you might suggest exploring with a denominator
of 6 and comparing results.
•
How can you organize your results to look for
patterns?
Example:
Continuing to increase the numerators by 1 each
time.
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