6th Grade Math Textbook, Progress

Since a marker is tossed twice, you can get the

same addend or 2 different addends. To find the

possible sums, make an organized list. Eliminate

duplicate sums with the same addends.

Use a tree diagram to be sure

all possible combinations are listed.

Visualize yourself in the problem above as you

reread it. List the facts and the question.

Facts: A marker is tossed 2 times.

Possible addends —
^12 
, 
^14 
, 2
^14 
, 1
^12 


Question:How many different sums are possible?

Frank designed this math game for his class. It is played

by tossing a marker twice onto the board and finding

the sum of the two addends on which the marker lands.

How many different sums are possible?

Problem-Solving Strategy:

Make an Organized List

9-15

1

1

2

1

2

(^214)
1
4
Remember:
A marker can
land twice on
the same addend.
Addend

1
2


1
2


1
2


1
2


1
4


1
4


1
4


1
4

Addend 

1
2


1
4
^2

1
4
^1

1
2


1
2


1
4
^2

1
4
^1

1
2

Sum 1
^34
2
^34
2
^34

^12
2
^12
1
^34

Addend 2

1
4

2
^1
4

2
^1
4

2
^1
4

1
^1
2

1
^1
2

1
^1
2

1
^1
2


Addend 

1
2


1
4
^2

1
4
^1

1
2


1
2


1
4
^2

1
4
^1

1
2

Sum 2

3
4
^2

1
2
^4

1
2
^3

3
4
^21

3
4
^3

3
4
^3
There are 10 different possible sums.
Think
  
1
2
1
4
1
4
1
2
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