1 Teacher Notes Supplies Needed: Class set of sudoku puzzles. 4 sets squares with the digits 1 – 4. 6 sets squares with the digits 1 – 6. Vocabulary deductive reasoning

2 columns rows Before we begin…

3 LaunchLaunch Have you heard of sudoku? How many of you have done sudoku? What is sudoku?

4 LaunchLaunch Sudoku has a fascinating history. "Su" means number in Japanese, and "Doku" refers to the single place on the puzzle board that each number can fit into. It also connotes someone who is single—indeed, one way to describe the game is "Solitaire with numbers.”

5 LaunchLaunch Although its name is Japanese, its origins are actually European and American, and the game represents the best in cross-culture. Unlike many games which spring from one culture and are then absorbed by others, Sudoku's development reveals it to be a true hybrid creation. See “Daily Sudoku”Daily Sudoku

6 ExploreExplore

7 Sudoku 4 x 4 Rules: Each small box has the digits 1, 2, 3 & 4. Each row has the digits 1, 2, 3 & 4. Each column has the digits 1, 2, 3 & 4.

8 Solve & Justify Row 2 Column 4 Row 2 Column 4

9 Solve & Justify

10 Solve & Justify

11 Find a Solution & Justify

12 Team Practice Choose 2 of the Sudoku puzzles you’d like to do.

We have been using deductive reasoning. Deductive reasoning is when you move from things you know or assume to be true - called 'premises' - to conclusions that must follow from them. Premises Conclusion Deductive Reasoning

The most famous example of deduction is Socrates is a man. All men are mortal. Therefore, Socrates is mortal. The first two statements are premises, and the third statement is a conclusion. By the rules of deduction, if the first two statements are true, the conclusion must be true. Deductive Reasoning

15 DebriefDebrief What do you know understand about the learning target? I can use information to draw conclusions. I can evaluate the conclusions of others. I can use information to draw conclusions. I can evaluate the conclusions of others. 5/11/10

16 Ticket Out Kristin said the green square has to be 3. Do you agree with her? Why?