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1 of 24
2 Article Responses due
POW due Wednesday
For SMS
Lesson plan if you taught
Observation notes if you didn’t
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
• No Reading Response from today
• POW due Wed (Staircase Case)
• Lesson plan if you taught today (e-mail ok)
SMS
• 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 08 april 28

  • 1. 2 Article Responses due POW due Wednesday For SMS Lesson plan if you taught Observation notes if you didn’t Math 483
  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12.
  • 13.
  • 14.
  • 15.
  • 16.
  • 17. 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?
  • 18. 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
  • 19.
  • 21. Lots of Squares Can you divide a square into a certain number of smaller squares?
  • 22. Assignments • No Reading Response from today • POW due Wed (Staircase Case) • Lesson plan if you taught today (e-mail ok) SMS • Your plan for Monday @ SMS if teaching (e-mail ok)
  • 24. 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)