module 2: problem solving: eliminate possibilities matrix logic

Module 2: Problem Solving:Eliminate possibilities

Matrix logic

Content Learning Targets

Participants will solve problems using:•Matrix logic •Elimination of possibilitiesParticipants will Justify their solutions to problems

Language Learning Targets

Participants will define:•Matrix•Matrix logic

Problem: High School Math Department Master Schedule

Generate a schedule that balances the opportunities for given courses as much as possible across the schedule by assigning appropriate courses to teachers qualified to teach them as well as meeting the scheduling needs for the teachers’ other assignments in the building.

Problem solving and Sudoku

A number puzzle on a 9 by 9 grid divided into nine 3 by 3 boxes with several numbers given.

The object is to place the numbers from 1 to 9 in empty squares.

The restriction is that you must have the numbers 1 to 9 in every row, every column and every 3 by 3 box (no duplicate numbers)

The Party

Last weekend, theCarson’s invited the O’Tooles, Levines,Jacksons, Martins, andSmiths to a party

The Party

Elmer, John, David, Charles, and Stewart.

Husbands names are:

Mary, Hilda, Madalene, Jessica, and Marlene.

Wives names are:

From the 6 clues given, try to determine not only the first and last names of each guest, but the order of their arrival at the party.

Task:

When Marlene arrived,her brother David was already there talking toElmer Smith and the O’Tooles.

Clue 1

The Jacksons arrived after the Levines but before Jessica

Clue 2

Clue 3

No person at the party has first and lastnames beginning withthe same letter.

Clue 4

Neither Hilda norMrs. Martin is married to David

Clue 5

John and Marlene arrived together afterElmer and before Mary,but none of these peoplearrived first.

Clue 6

Charles is not married to Jessica