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Annapolis |
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Elementary |
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Intermediate |
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Stop
#1 |
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What
is the volume of the pot? |
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Stop
#2 |
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| If
the pattern continues, what would be the
price for four shirts?
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Plot
the total cost on the y-axis and number of
t-shirts on the x axis (three points).
Is this a linear function? Prove your
answer. |
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Stop
#3 |
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| Can
you make a good guess as to the age of these
children by measuring how big their shoes
are? (You will need to collect data
from students at various grades in your own
school and compare.)
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If
these statues were made of gold, how much
would they be worth? |
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Stop
#4 |
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| This
pattern of rectangular bricks entirely
covers the surface.
Suppose
the bricks were "L" shaped,
instead of rectangular. Can you find a
way to completely cover a surface with
them? (Solve this problem by cutting
out 20 L-shaped "bricks" from
construction paper.)
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If
you toss a quarter on these bricks, what do
you think is the probability that it will
land entirely within the boundaries of a
brick?
Find the
experimental probability of this.
Measure
the diameter of the quarter and the diameter
of a nickel. Use this data to predict
the probability that a nickel will land
completely within a brick.
Now find
the experimental probability for the nickel.
Present your results and see if you can
explain them.
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Stop
#5 |
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Trace
one of these ovals on a piece of paper, then
bring it back to the classroom and see if
you can make an ellipse with the exact same
size and shape. |
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Stop
#6 |
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could you determine if the length of the
mast is greater than the length of the boat,
without measuring anything?
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The
mast is 35 feet high, and it is placed 2/5
of the way back from the front of the boat,
which is 30 feet long. How long is the
rope which connects the bow of the boat to
the top of the mast? |
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Stop
#7 |
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small boat in front is a 1/25th scale model
of a real sailboat. Make measurements
and find out how many square feet of sail
cloth would be needed to make the sails for
the real boat.
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Stop
#8 |
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Use
a protractor and ruler to find the height of
the steeple: Get just far enough
away from the steeple so that when you put
one end of the ruler on the ground and point
the other end exactly at the top of the
steeple, the angle is 45 degrees. Then
the distance on the ground between you and
the steeple is the same as the height of the
steeple.
Why does
this work? |
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Stop
#9 |
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The
second story of this building is shorter
than the first, and the third
"story" (the dome, not counting
the white structure on top of it) is shorter
than the second. Use a meter stick at
a distance to find the relative sizes
of the first, second, and third
"stories". Does the height
of the structure on the very top follow that
pattern? |
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Stop
#10 |
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| What
percent of these shoes is white?
If you
picked up 6 shoes without looking, how many
do you think would be white?
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Suppose
you close your eyes and reach out and pick up
a shoe. Then you keep your eyes closed
and pick up another shoe. What is the
probability that the two shoes will have the
same color? |
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Stop
#11 |
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| Find
the area of one of the parallelograms in the
bottom section of this gate.
Name the
congruent shapes you can see in this
gate. Make measurements to prove that
some of them are congruent.
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Stop
#12 |
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Imagine
that this painting in the Governor's mansion
gets more valuable every year. Suppose it is
now worth $3000. If its value
increases by 15% every five years, how
valuable will it be 50 years from now? |