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Logic Puzzle

Logic Puzzle. Use the clues below to find information about different mathematicians. Pythagoras had his contribution named after him. He was known to avoid beans.

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Logic Puzzle

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  1. Logic Puzzle

  2. Use the clues below to find information about different mathematicians. • Pythagoras had his contribution named after him. He was known to avoid beans. • Albert Einstein considered Emmy Noether to be one of the greatest mathematicians and used her work to show the theory of relativity. • Anaxagoras was the first to theorize that the moon’s light is actually the sun’s light being reflected. • Julio Rey Pastor wrote a book at age 17. • The mathematician who is fluent in Latin contributed to the study of differential calculus. • The mathematician who did work with n-dimensional geometry was not the piano player. • The person who first used perspective drawing to make scenery for plays was not Maria Agnesi or Julio Rey Pastor.

  3. Goal: The learner will use deductive reasoning to form a logical argument. Lesson 2.3 Apply Deductive REasoning

  4. Deductive Reasoning: use facts, definitions accepted properties and laws of logic to form an argument. • Law of Detachment: If the hypothesis of a true conditional statement is true, then the conclusion is also true. • Example: • If two segments have the same length, then they are congruent. You know that BC = XY. • What can you conclude? • Mary goes to the movie every Friday and Saturday. Today is Friday. • What can you conclude?

  5. Law of Syllogism • If hypothesis p, then conclusion q. • If hypothesis q , then conclusion r. • If hypothesis p, then conclusion r. • Example: If Moose is hungry, then he’ll eat a whole pizza. If Moose eats a whole pizza, then he will drink a pitcher of soda. • Conclusion: If Moose is hungry, then he will drink a pitcher of soda.

  6. A Famous Syllogism • For Want of a Nail • For want of a nail the shoe was lost.For want of a shoe the horse was lost.For want of a horse the rider was lost.For want of a rider the battle was lost.For want of a battle the kingdom was lost.And all for the want of a horseshoe nail.

  7. Write a new conditional statement that follows the pair of true statements. • If Rick takes chemistry this year, then Jesse will be Rick’s lab partner. If Jesse is Rick’s lab partner, then Rick will get an A in chemistry. • Conclusion:

  8. If x² > 25, then x² > 20. • If x > 5, then ² > 25. • Conclusion:

  9. If a polygon is regular, then all angles in the interior of the polygon are congruent. • If a polygon is regular, then all of its sides are congruent. Click me!

  10. Which Property Is It? • If x > 12, then x + 9 > 20. The value of x is 14. Therefore, x + 9 > 20 • If you get an A or better on your math test, then you can go to the movies. If you go to the movies, then you can watch your favorite actor. If you get an A or better on your math test, then you can watch your favorite actor.

  11. Tell whether the statement is the result of inductive reasoning or deductive reasoning. Explain your choice. • The northern elephant seal requires more strokes to surface the deeper it dives. • The northern elephant seal uses more strokes to surface from 250 meters than from 60 meters.

  12. What’s the difference between inductive and deductive reasoning?

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