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The Phantom Tollbooth

The Phantom Tollbooth. A (Somewhat) Mathematical Journey. What is a dodecahedron?. What’s a rod???. DIGITOPOLIS 5 miles 1,600 rods 8,800 yards 26,400 feet 316,800 inches 633,600 half inches AND THEN SOME.

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The Phantom Tollbooth

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  1. The Phantom Tollbooth A (Somewhat) Mathematical Journey

  2. What is a dodecahedron?

  3. What’s a rod??? DIGITOPOLIS 5 miles 1,600 rods 8,800 yards 26,400 feet 316,800 inches 633,600 half inches AND THEN SOME

  4. Is it quicker to travel by miles or half inches?

  5. What’s he saying?? “If a small car carrying three people at thirty miles an hour for ten minutes along a road five miles long at 11:35 in the morning starts at the same time as three people who have been traveling in a little automobile at twenty miles an hour for fifteen minutes on another road exactly twice as long as one half the distance of the other, while a dog, a bug, and a boy travel an equal distance in the same time or the same distance in an equal time along a third road in mid-October, then which one arrives first and which is the best way to go?” (p. 174)

  6. How does he know that, and why should we care? “Why, did you know that if a beaver two feet long with a tail a foot and a half long can build a dam twelve feet high and six feet wide in two days, all you would need to build Boulder Dam is a beaver sixty-eight feet long with a fifty-one foot tail?” (p. 175)

  7. Would subtraction stew really make you several times hungrier than you were? What would be a better name for it?

  8. What are the sixteen points of the compass? What degrees would they correspond to in the Mathemagician’s office?

  9. Are Milo and the Mathemagician correct?

  10. How many children are in the average family now?

  11. Can you decipher this letter? 4738 1919, 667 394017 5841 62589 85371 14 39588 7190434 203 27689 57131 481206. 5864 98053, 62179875073 What do you think it might say?

  12. Why do you think King Azaz and the Mathemagician had so much trouble communicating?

  13. Your Assignment: PICK ONE • Answer the question, “What are the sixteen points of the compass? What degrees would they correspond to in the Mathemagician’s office?” • Research to find out how many children are in the average family now. • Write a reasonable translation of the Mathemagician’s letter to King Azaz. BONUS: Create a “replica” of either the Mathemagician’s robe or the Dodecahedron. This is would replace a homework grade.

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