## Knaves and Knights

Source: OpenClipart.com

Type: Investigation

Theme: Logic

Grades: 6, 7, 8, 9, 10, 11, 12

Learning Target: Students will reason mathematically by creating a Knights and Knaves logic puzzle through truth table construction.

Instructions
 Example: Everyone on Smullyan's Island is either a knight or a knave. Knights always tell the truth. Knaves always lie, but their looks won't help you distinguish the two. You meet two people, person A and person B. You want to know if either of them are knights? You ask them, "Which one of you are a knight?" Person A replies, "At least one of us is a knave." Who are they? The truth table below will help you solve this riddle.

This project is for individuals.

1. Research Knights and Knaves puzzles.
2. Create a truth table that represents your puzzle. Middle school students can re-write an existing Knights and Knaves or Portia puzzle, creating a truth table for it. Use your own characters and situations.
3. Provide your puzzle to a minimum of three students. They should check their solution with a truth table.
4. Collect data on your puzzle. Was your puzzle too difficult, too easy, or just right?

### Submission

1. Puzzle text using proper grammar and dialogue punctuation conventions.
2. Truth Table that demonstrates logic and solution to the puzzle
3. Data collected for your puzzle.

### Resources

Exit Ticket
CCSS Math Practice
• I can make sense of problems and persevere in solving them.
• I can reason abstractly and quantitatively.
NGSS Crosscutting Concepts
• Cause and Effect