Level: Elementary/Middle
Who is asking . Teacher
I need assistance with instruction strategies to teach the construction of a matrix, solving a logic problem. Providing instruction in the construction of a simple matrix , no problem. However, I stumpted on this one.
Five players were chosen as All Stars at the basketball banquet. Based on the following clues, find the player's name, team, uniform color and number of points scored.
After constructing 2 matrix I'm stumped. One is players name and color of uniform and the second is team name and uniform color.
I've consulted methodology text and nothing to assist me, I like to provide my students with more challenging problems.
Please help, I'm at my whits end.
Thanking you in advance.
Footnote:
I sat down a third time with the
problem and solved it , I found it quite easy. My problem is this , how
do I provide instruction using this concept.
R. Booker
Hi Robin
One apporach to these problems is to start with the matrix that has the most information. If you consider the four factors (name, team, uniform color and number of points scored) and count how many times each factor is mentioned in the clues you get:
Name: | mentioned 5 times |
Team: | mentioned 5 times |
Uniform color: | mentioned 7 times |
Points scored: | mentioned 7 times |
Color | Name | Team | Points |
---|---|---|---|
Yellow | |||
White | |||
Red | |||
Green | |||
Blue |
Reading through the clues the first time I can fill in some information.
Color | Name | Team | Points |
---|---|---|---|
Yellow | 170 | ||
White | 190 | ||
Red | Anne Lester | 220 | |
Green | |||
Blue | William Worm |
Now looking at the clues again, the first implies that the Prima Donnas scored 240 points which is the missing "points scored" value. Now that you know all the values for the points scored variable and the only 70 point difference is between 240 and 170, clue 6 implies that Mark Clark plays for the yellow team and the green team scored 240 points. Thus, together with the seventh and eighth clues we get
Color | Name | Team | Points |
---|---|---|---|
Yellow | Mark Clark | 170 | |
White | Chris Hooper | Sticky Wickets | 190 |
Red | Anne Lester | 220 | |
Green | Prima Donnas | 240 | |
Blue | William Worm | Itsy Bitsy's | 300 |
Clues three and four now fill in the outstanding cells in the matrix.
Cheers,
Harley
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