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MATH CHALLENGE

Math is all around you in nature, art, and games. Explore links and puzzles on fractals, Fibonacci, art and math, crop circles, and more. Don't give up, keep trying!

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MATH CHALLENGE

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  1. MATH CHALLENGE

  2. Challenge your mind! • Math is all around you in … • Nature • Art • Games • The following slides have links and puzzles for you. • Select the ones that interest you. If you get stumped… Keep Trying!!! Don’t Quit!!! Next

  3. Math Challenge Index • Fractals • Fibonacci • Art and Math • Crop Circles and Geometry • Math Games and Puzzles (Online) • Monty Hall and Probability • Math Games and Puzzles (Online) • Challenge Puzzles Next

  4. Fractals • “Simply put, fractals are shapes which show similar features at different sizes.” For more information, go to www.fractalus.com Previous Next Index

  5. Fibonacci 1170-1250 A.D. The Fibonacci Sequence repeatedly appears in nature. 1,1,2,3,5,8,13,21,… Previous Next Index

  6. Fibonacci • Find out more at Fibonacci Numbers and Nature Previous Next Index

  7. Art and Math Artists can use mathematics to show perspective in their paintings. Check out this link: http://www.mathartfun.com Previous Next Index

  8. Crop Circles and Geometry • Crop Circles appear around the world--usually in the middle of the night. • Some people think they are made by aliens. • Others are certain they are made by people. Click on the picture to learn more about them. Previous Next Index

  9. 1 2 3 The Monty Hall Show The 1970’s game show presents an interesting probability exercise. Monty would show three doors to a contestant. One of the doors had a car behind it. The other two doors each had a pig. Previous Next Index

  10. 1 2 The Monty Hall Show • The contestant picks one of the doors. • Monty would open one of the doors with a pig. • Then, he would ask… “Would you like to switch to door #2?” Will your odds of winning improve if you switch? I pick door # 3 ? 3 Previous Next Index

  11. The Monty Hall Show • When you first picked a door, your chance of winning was 1 out of 3. • After Monty showed the door with the pig, your chance of winning was 1 out of 2. Try the Simulation! Previous Next Index

  12. Online Math Games and Puzzles Double Click on the picture to play… Fractal Jigsaw Sudoku Math Humor Mastermind Previous Next Index

  13. Challenge Puzzles • Lemonade Logic • Crossing the River Previous Next Index

  14. 8 5 3 Solution Lemonade Logic From www.boxermath.com Try using logical reasoning to solve this challenge: Max is selling lemonade. He has an 8-gallon jug full of lemonade, an empty 3-gallon jug and an empty 5-gallon jug. Jean would like to buy exactly four gallons of lemonade. How can Max measure exactly four gallons of lemonade, using only these jugs? Previous Next Index

  15. Lemonade Logic Solution • Max can fill the 3-gallon jug with lemonade, and then pour that lemonade into the 5-gallon jug. • Then he can fill the 3-gallon jug from the 8-gallon jug again, and pour that lemonade into the 5-gallon jug until it is full. • Next, he must pour the lemonade from the 5-gallon jug back into the 8-gallon jug. • Then he can pour the lemonade from the 3-gallon jug into the 5-gallon jug. • Finally, he fills up the 3-gallon jug from the 8-gallon jug again. He will then have exactly four gallons of lemonade left in the 8-gallon jug. Previous Next Index

  16. Solution The Crossing Problem • Solve the problem presented in the second panel of the comic strip above. • Explain how to get all three animals across the river safely! Previous Next Index

  17. Crossing Problem Solution • First, take the fox over and drop him off. • Then row back and get one of the chickens. • Take the chicken over and drop it off and pick up the fox. • Take the fox back, drop him off, and pick up the other chicken. • Take the chicken over. • Row back and pick up the fox. More Crossing Problems Previous Next Index

  18. More Boat Crossing Problems • U2 Crossing Problem • 3 Jealous Men and their Wives • The Wolf, Goat and Head of Cabbage • The Family on the Boat Problem Previous Next Index

  19. The End! Previous Index

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