Module 2: Problem Solving: Eliminate possibilities Matrix logic

Content Learning Targets Participants will solve problems using: Matrix logic Elimination of possibilities Participants 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

The Party Last weekend, the Carson’s invited the O’Tooles, Levines, Jacksons, Martins, and Smiths to a party

Husbands names are: Elmer, John, David, Charles, and Stewart.

Wives names are: Mary, Hilda, Madalene, Jessica, and Marlene.

Task: 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.

Clue 1 When Marlene arrived, her brother David was already there talking to Elmer Smith and the O’Tooles.

Clue 2 The Jacksons arrived after the Levines but before Jessica

Clue 3 No person at the party has first and last names beginning with the same letter.

Clue 4 Neither Hilda nor Mrs. Martin is married to David

Clue 5 John and Marlene arrived together after Elmer and before Mary, but none of these people arrived first.

Clue 6 Charles is not married to Jessica