Volume 8 Math Stars Worksheet Page 33
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35Vol. 8 No. 10
1.
A geometric sequence is a sequence
4.
The square drawn on this
in which the nth term is found by
geoboard has an area of one square unit.
multiplying the term before it by a constant
ratio.
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a) Find the next three terms in this
sequence: 144, 48, 16, . . .
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b) Find the 22nd term in this sequence:
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2, 5, 12.5, . . .
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2.
Using cubes, build this model:
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Which squares, with integer areas of ten or
less, cannot be drawn on this geoboard?
left side
view
Strategy of the Month
You have tried many ways to solve problems
left
this year. Already you know that when one
strategy does not lead you to a solution, you
back
back up and try something else. Sometimes you
a) On grid paper, draw the right side view,
can find a smaller problem inside the larger
the back view, and the front view. The left
one that must be solved first. Sometimes you
side view is shown above.
need to think about the information that is
missing rather than what is there. Sometimes
you need to read the problem again and look
b) If each small cube has a volume of one
for a different point of view. Sometimes you
cubic unit, find the surface area of the
need to tell your brain to try to think about the
model.
problem in an entirely different way - perhaps
a way you have never used before. Looking for
3.
A set of books can be separated into
different ways to solves problems is like brain-
storming. Try to solve this problem. You may
six equal piles, and can also be divided into
need to change your point of view. Bob and
15 equal piles. What is the smallest
his dad visited the hardware store on Saturday.
number of books in the set?
They observed the following transactions: Mr.
Harris bought 4 for $.50, Mrs. Clarke bought
21 for $1.00 , Mr. Montaro bought 1134 for
$2.00 and Ms. Park bought 450 for $1.50.
What were they buying?
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