Sender: Robin

Subject: Question: Logic and Matirx instruction

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.

- The player from the PRIMA DONNAS scored 50 more points than the
player who wear a shite uniform.
- William Worm wears a blue uniform
- Betty Cooper scored 20 more points than the player from the DARTH
INVADERS.
- The CAT FOLLIES do not wear blue uniforms
- The player wearing the yuellow uniform scored 170 points.
- Mark Clark scored 70 fewer points than the player who wears a
green uniform.
- The player from the ITSY BITSY'S SCORED 300 points.
- Chris Hooper plays for the STICKY WICKETS.
- The player who wears a white uniform scored 190 points.
- Anne lester wears a red uniform and scored 220 points.

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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