Mathematical Practice: MP3 - Construct viable arguments and critique others' reasoning.

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Mathematical Practices
Mathematical Practices
  • MP1 - Make sense of problems and persevere in solving them. (11)
  • MP2 - Reason abstractly and quantitatively. (5)
  • MP3 - Construct viable arguments and critique others' reasoning. (5)
  • MP4 - Model with mathematics. (4)
  • MP5 - Use appropriate tools strategically. (5)
  • MP6 - Attend to precision. (1)
  • MP7 - Look for and make use of structure. (9)
  • MP8 - Look for and express regularity in repeated reasoning. (7)

Flipping Pancakes

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The Pancake Problem, first posed in 1975, is a sorting problem with connections to computer science and DNA rearrangements, which leads to discussions of algorithms, sequences, and the usefulness of approximations and bounds.

The original problem was first posed by mathematician Jacob Goodman under the pen name “Harry Dweighter” (read it quickly) in 1975, and it has delighted math enthusiasts (including undergraduate Bill Gates) ever since!

I Walk the Line

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Your regular commute begins at your house and ends at your office at the corner of 5th street and 6th avenue. You have been making this trip for years, but you are the restless (or adventurous) type, and you try to take a different route each day. At some point, you start to wonder how long it will take you to try all of the routes.

Oh, did I mention that you have to avoid the zombies?

Queen’s Move

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Students will explore a game between two players moving a chess Queen from place to place on a square grid. The Queen may move any number of spaces to the left, any number of spaces downward, and any number of spaces on the downward-left pointing diagonal. Each player takes turns using these moves. Whoever gets the Queen to the bottom-left square first wins!

Bubbling Cauldrons

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Place our numbers into the cauldrons in ascending order – you can choose which cauldron each one goes in. However, if two numbers in one cauldron add up to a third number in that same cauldron, they bubble up and cause an explosion! This means that all the numbers, leave the cauldrons, and you must start all over again.

Our goal is to find the largest number we can place in our cauldrons without them exploding… do you think you’re up for this daunting task?

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