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Mathematics Class 6

Number Play

Digits, palindromes, supercells, estimation, puzzles, 6174, the Collatz process, and number games.

13 lessons · ~65 min total

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Lessons in this topic

  1. 0 Start here A roadmap: digits, palindromes, supercells, estimation, puzzles, 6174, Collatz, and number games. · 3 min You are here
  2. 1 Same digits, new number Rearranging the digits of a number changes its value. The digits stay the same, but where they sit does not. · 5 min
  3. 2 The biggest and smallest number you can make Sorting digits biggest to smallest builds the biggest number. But the smallest number has one tricky rule. · 6 min
  4. 3 Numbers that read the same both ways A palindrome number reads the same forwards and backwards. Like 121 or 5445. · 5 min
  5. 4 Spotting a supercell A supercell is a number. It is bigger than every number that touches it. · 5 min
  6. 5 A good estimate is fast and close Estimating uses the real numbers, rounded on purpose. It is not the same as guessing. · 5 min
  7. 6 Hunting a number with clues Each clue rules out numbers that do not fit. Until only one number is left. · 6 min
  8. 7 The magic number 6174 Biggest minus smallest, again and again. It ends at 6174. · 5 min
  9. 8 Halve it, or triple it and add 1 Even numbers halve. Odd numbers triple and add 1. Watch the numbers reach 1. · 5 min
  10. 9 A game you can win Work backwards from the target. Say every number that is 4 apart. · 5 min
  11. 10 Checkpoint Four quick checks before the big picture. · 4 min
  12. 11 The big picture Nine ideas, tied together. · 4 min
  13. 12 Track quiz Cheat-sheet table plus a reveal quiz — one question per idea. · 7 min