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BALLOON GAME
=
Content Ob=
jective: To have students create lines of t=
he
“y=3Dmx+b” form in the context of a
game. Through creative practi=
ce
they develop intuitively a sense of how slope and intercept values affect a
line. Geometrically they are
exploring the concepts of shifting and stretching lines.
Game Objec=
tive: The object of the game is to
“pop balloons” that are created on the graph screen. A routine is presented that
creates small dots on the graph screen.&nb=
sp;
Students create lines that attempt to intersect these dots and thus
“pop the balloon”. The
fewer the attempts the more points are scored by the student.
- Beginners are advised to star=
t with
one point.
- ONE balloon
·
First clear functions from the “Y=3D=
8221;
screen
·
Then create a “standard window” =
as
shown below
·
Type in the routine (notice this is shown in=
2
screen shots since it does not fit on one screen)*


*For those who are not familiar with the TI-73 menus, “Circle” is cho=
ice
“6” in the “Draw” menu, “randIn=
t”
is choice “2” in the Math/Prb menu,=
and
the comma is next to the “4” key.
·
Finally press the “Enter” key an=
d a
“balloon” appears on the graph screen.
·
Go to the “Y=3D” screen and type=
in a
function in the “Y1” position.=
Rule is that the shot must go through both the origin and the
“balloon” to constitute a hit.=
If the “balloon” is not hit the first time, move to
“Y2” and try a second shot.&nb=
sp;
(note if you clear the “Y1”
function it erases the balloon from the screen). If “Y2” doesn’t =
hit,
try “Y3”, then “Y4” if necessary.
Scoring:
·
If balloon is hit on first attempt, score 5
points, on second attempt 4 points and so on.
·
If neither partner hits the balloon (and
remember the line must also go through the origin), the person who came clo=
sest
scores 1 point.
To continue a new round
- Clear
functions from the “Y=3D” screen (this also clears the
“balloon”)
- Return
to “home screen”
(2nd Mode)
- Press
“Enter” and a new balloon is released; continue as before=
Note: Occasionally it may appear that a
balloon did not show up. This=
can
happen if a point lands on an axis.
In this case return to the “home screen”, press
“Enter” and release a new balloon.
Note: The “Cl=
rDraw”
command (found in “Draw” menu) can be used to clear a point off=
the
screen. “Enter” m=
ust be
pressed to select this command.
A “game” consists of 5 rounds (or a set agreed upon at the
outset of the game). Highest =
score
wins.
=
o:p>
- TWO balloons
·
Clear “Y=3D” functions and set u=
p a
“Standard Screen” as before
·
This time two “Circles” are crea=
ted
by either drawing one, then returning to the “home screen”, and
pressing “Enter” to repeat the command….or, by
“concatenating” two circles using a “colon”, as sho=
wn
in the screen shots below. Two shots are needed to show the
complete command since one screen will not show the entire routine.
Note: The
“colon” is obtained from the “Catalog” menu, arrowing “up” several times after the
“A” words appear.
=
=
=
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