m483 day 08 april 28

2 Article Responses duePOW due Wednesday

For SMSLesson 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?

ReversalsTake 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 = 198198 -> 891, 198 + 891 = 1089

IN OUT

+5

x2?

x4

÷8

?x6

-4+2+8

Lots of SquaresCan 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