Time for MATH MINUTE! (provide
your favorite theme music here).
Get out your paper &
pencil, because I have a new puzzle for you!!
PUZZLE #4 How many
squares do you see? Oct. 2
– 6
This is a fun & easy one,
all you have to do is count!
I was looking at the window
below one day and I saw a lot of squares.
Do you see them?
Count the total number of
squares of all sizes in the following window
of a 3 by 3 set of squares?
Now count the number of squares
for this window of a 4 by 4 set of squares.
If you keep track of how
many squares there are of each size you will find
there is a pattern here -
right?
Hint: In the 3 by 3 window you
have 9 small squares, _?_ medium size
squares, and 1 large square.
Check out the numbers in the 4
by 4 window above. How many squares of
each size are there? (Hint: you should get 4 different sizes
of squares here!)
Can you use this pattern of
numbers to predict the answer to a 5 by 5
window without first
counting?
Now count the number of squares
in this 5 by 5 window to check your answer.
Give yourself a pat on the back
if you were correct!
BONUS PUZZLE: Use this pattern of the numbers of each
size of square to
predict the total number of
squares in a 10 by 10 window without first counting them! (- and who wants to
count them?)
Send your
comments, ideas and solutions before Friday Oct. 6 to the email below,
and in the subject line be sure to put < MM >
: parksjm@potsdam.edu
Visit us here
online at http://www2.potsdam.edu/parksjm/MM.htm
to see the results every Friday.
See you next time on MATH MINUTE! (theme music fades out here).