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Assignments
• Reading Response for two articles will be e-mailed
today
• POW due Wed (Abe’s Pennies)
• Let me know your teaching schedule @SMS (e-mail
ok)
• Your plan for Monday @ SMS if teaching (e-mail ok)
Article Responses due
POW due
For SMS
Teaching Schedule
Lesson plan plan for Monday this
week!
Math 483
Cutting Corners
12”
9”
Squares are cut from a 9-by-12-inch piece of
cardboard so the four flaps can be folded up. What
size squares should be cut so that the volume of the
box is the largest possible?
Reversals
Take a three-digit number, reverse its digits, and subtract
the smaller from the larger. Reverse the digits of the result
and add.
123 -> 321, 321 – 123 = 198
198 -> 891, 198 + 891 = 1089
IN OUT
+5
x2
?
x4
÷8
?x6
-4
+2
+8
Lots of Squares
Can you divide a square into a certain number of smaller squares?
Assignments
• Reading Response for two articles will be e-mailed
today
• POW due Wed (Staircase Case)
SMS
• Let me know your teaching schedule @SMS (e-mail
ok)
• Your plan for Monday @ SMS if teaching (e-mail ok)
Cutting Through the Layers
n(x) = number of factors of x
n(6) = 4
n(24) = n(288) = n(23 32 54) =
Classify all numbers n so that n(n) =3
Classify all numbers n so that n(n) =2
Find two numbers n and m so that n(nm) = n(nm) - generalize
Find some n so n(n) =6

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M483 day 07 april 23

  • 1. Assignments • Reading Response for two articles will be e-mailed today • POW due Wed (Abe’s Pennies) • Let me know your teaching schedule @SMS (e-mail ok) • Your plan for Monday @ SMS if teaching (e-mail ok)
  • 2. Article Responses due POW due For SMS Teaching Schedule Lesson plan plan for Monday this week! Math 483
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12.
  • 13.
  • 14.
  • 15.
  • 16.
  • 17.
  • 18. Cutting Corners 12” 9” Squares are cut from a 9-by-12-inch piece of cardboard so the four flaps can be folded up. What size squares should be cut so that the volume of the box is the largest possible?
  • 19. Reversals Take a three-digit number, reverse its digits, and subtract the smaller from the larger. Reverse the digits of the result and add. 123 -> 321, 321 – 123 = 198 198 -> 891, 198 + 891 = 1089
  • 20.
  • 22. Lots of Squares Can you divide a square into a certain number of smaller squares?
  • 23. Assignments • Reading Response for two articles will be e-mailed today • POW due Wed (Staircase Case) SMS • Let me know your teaching schedule @SMS (e-mail ok) • Your plan for Monday @ SMS if teaching (e-mail ok)
  • 25. n(x) = number of factors of x n(6) = 4 n(24) = n(288) = n(23 32 54) = Classify all numbers n so that n(n) =3 Classify all numbers n so that n(n) =2 Find two numbers n and m so that n(nm) = n(nm) - generalize Find some n so n(n) =6

Editor's Notes

  1. Nu – divisor function More generally, omega(zero)(x)