EN00495_.WMF (10996 bytes) Would you like to be a STAR?

Well, stick around. You’ll have a chance to see the possibilities of who could get the parts in a play I’m directing.

 
I’m going to use tree diagrams
to see the possibilities more easily.

EN00361_.WMF (2316 bytes)

Do you know what a tree diagram is?

Next Page








 

 

In just a few days, we will have tryouts to see who will get the parts in the play...

that is the event.

There are so many possibilities for who could play the parts... Dorothy, the Tin Man, the Scarecrow, and the Lion...

those are the possible outcomes.

There is a mathematical tool or picture that can help us see all of the possible outcomes...

that is a tree diagram.


Can you guess the name of the play?
EN00359_.WMF (7922 bytes)

Previous Page |  Next Page








 

For the play,

Yvette (Y) and ZoŽ (Z)

WB00799_.GIF (672 bytes) WB00798_.GIF (769 bytes)

want to try out for the part of Dorothy.

wpe3.jpg (2099 bytes) One branch of this tree diagram shows...
Y = Yvette as a possible outcome.

The other branch shows...
Z
= ZoŽ as a possible outcome.

That's a total of two possible outcomes for the part of Dorothy.

So what is a possible outcome anyway?


Previous Page |  Next Page


So... how many
possible outcomes
are there for the part of Dorothy?

 

 







 

A possible outcome is

a choice

or

a possibility

or

  the way something could turn out!

Is Cinderella a possible outcome for a part in my play?Yes                                No
Click on the word to check your answer.

In my play, you could have the part of...
PE02040A.GIF (1838 bytes)
  Dorothy
PE03476_.WMF (10630 bytes)
Tin Man
SO01181_.WMF (20466 bytes)
Scarecrow
AN00023_.WMF (11140 bytes)
     Lion

                                              

These are the possible outcomes for parts in my play.   Click on the part you would like to have.

Previous Page |  Next Page




 

 

Andy (A),

Bob (B),

and

Clay (C)

PE03476_.WMF (10630 bytes)

want to try out for the part of the
Tin Man.

What are the possible outcomes for the parts of Dorothy and the Tin Man?


Here is a tree diagram that shows the possible outcomes.
wpe2.gif (1885 bytes)
How many different possible outcomes are there for the part of Dorothy?
 

How many different possible outcomes are there for the part of the Tin Man?
 

Previous Page |  Next Page







 

 

 

Let's look at how a tree diagram works to figure out the possible outcomes.

HINT: Tree diagrams are read from left to right, just like math sentences. Let's go!

PE03555_.WMF (3184 bytes)


Here is just the Y branch of the tree diagram.
HINT:  Remember Y stands for Yvette as Dorothy.
wpe2.gif (1739 bytes)
If you follow each branch of the tree diagram, you find different possible outcomes for who could get the parts in the play.

wpe5.gif (3223 bytes)
Previous Page |  Next Page

 







 

 
EN00378_.WMF (5486 bytes) Now, you try it. Look at the tree diagram.
Follow each branch of the tree diagram to find each possible outcome for the parts of Dorothy and the Tin Man.

 


Click on the arrows to show each possible outcome.
wpe2.gif (1885 bytes)  
(Y, A)
(Y, B)
(Y, C)
How many possible outcomes does the tree diagram show for the parts of Dorothy and the Tin Man altogether?
 

Previous Page |  Next Page


 

 

There is another way to count the number of outcomes.
Here’s how…

wpe3.gif (1885 bytes)

2 possibilities for the part of
Dorothy... (Y) and (Z)

X

3 possibilities for the part of the Tin Man... (A), (B), and (C)

That makes...              2         X          3


2 x 3 =    
possible outcomes for the parts
of Dorothy and the Tin Man.

BL00396_.WMF (3290 bytes)

Previous Page |  Next Page








 


 

Dan (D) and Edie (E) SO01181_.WMF (20466 bytes)
want to try out for the part of the Scarecrow.

Now our tree diagram looks like this…

wpe6.gif (3154 bytes)

 

 

 

If Dan (D) and Edie (E) want to try out for the part of the Scarecrow...

How many different possible outcomes are there for the part of just the Scarecrow?
 
 

Previous Page |  Next Page








 

Use the tree diagram to find the possible outcomes for who might be cast as ...
wpe7.gif (3154 bytes)

HINT: Remember to...
go from left to right
and
take one branch at a time.

PE03557_1.WMF (2626 bytes)


Follow the branches of the tree diagram to predict who might get the parts in the play.
(Y, A, D) is the first possible outcome.
(Y, A, E) is the next one.
( , B, D)
( , B, E)
( , C, D)
( , C, E)
( , , )
( , , )
( , , )
( , , )
( , , )
( , , )   Previous Page |  Next Page








 

Let's add this to the number sentence.
Here’s how…

wpe7.gif (3154 bytes)

2 possibilities
for the part of
Dorothy...
(Y) and (Z)


X

3 possibilities
for the part of
Tin Man...
(A), (B), and (C)


X

2 possibilities
for the part of
Scarecrow...
(D) and (E)


That's...

2    X    3    X     2

BL00396_.WMF (3290 bytes)
2    x    3     x    2 =     possible outcomes for ...
Dorothy, the Tin Man, AND the Scarecrow.    
 Previous Page |  Next Page
 








 

Frank (F) and George (G) AN00044_.WMF (14530 bytes)
want to try out for the part of the Lion.

What should we add to the tree diagram to show this?

wpe6.gif (3154 bytes)


Type your answer in the box.
If Frank (F) and George (G) want to try out for the part of the Lion...

How many different possible outcomes are there for the part of just the Lion?

Previous Page |  Next Page








 

I need your help to build the Y branch of the tree diagram. Then you can see the possible outcomes.
wpe1.gif (4575 bytes)


Click on the arrows to choose the possible
outcomes for the part of the Lion.

I have done the first few for you. 
Do you see a pattern?
PE03560_.WMF (2944 bytes)HINT:
Remember to...

go from left to right
and take one branch at a time.

Previous Page |  Next Page


 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 








 

You did it! Here is the Y branch of the tree diagram.
wpe1.gif (4759 bytes)
EN00503_1.WMF (10144 bytes)
Possible Cast


I need your help to predict EACH of the possible outcomes.
Click on the arrow to select.
(Y, A, D, F) is the first possible outcome.
(Y, A, D, G) is the next possible outcome.
(Y, A, E, F)
(Y, A, E, G)
(Y, B, D, )
(Y, B, D, G)
(Y, B, E, )
(Y, B, E, )
(Y, C, , )
(Y, , , )
(, , , )
(, , , )
Previous Page |  Next Page


 








 

Wow! What a bunch of possibilities I have as director! But it's time for my lunchbreak. How would you like to be my co-director?
AG00189_1.GIF (14404 bytes)DD00457_.WMF (1914 bytes)EN00609_.WMF (4956 bytes)

Have I got a job for you!


Here's a list...BS00576_.WMF (3090 bytes)
1. The Y branch of the tree diagram is finished
to show the possible outcomes if Yvette gets the
part of Dorothy.

Finish the Z branch of the tree diagram to show the possible outcomes if ZoŽ (Z) gets the part.

2. Predict and Figure out...
How many different possibilities
are there for the cast? 
See you in ten!

Previous Page |