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San Diego Math Trail Hyatt
Hotel, Beach and Marina
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Intermediate/Secondary:
In order to keep your boat in a marina like
this, you have to pay a monthly fee, called
a "slip fee". (The space where you
put the boat is called a "slip".) Below
are the monthly slip fees for four boats of
different lengths. What would you
expect to pay for a boat 70 feet in
length? 100 feet in length? (Secondary
students should find the equation that best
represents this relationship.)
30
feet: $406.30
40 feet: $541.60
50 feet: $724.50
60 feet: $1,113.60 |
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Elementary/Intermediate:
How many times do you have to turn the pedal
to make the wheel go around 10 times? Write
this as a fraction, where the numerator is
the number of times you turn the pedal and
the denominator is 10.
If
your bicycle has more than one gear, what
happens to the fraction as you go to a
higher gear?
Measure
the diameter of the wheel.
How far will the bicycle go when the
wheel goes around one time?
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Elementary:
What operation would you use to answer this
question: How many rooms are there on
this side of the hotel? Explain why you
would use that operation. |
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Elementary/Intermediate:
How many square feet of carpet are required
to cover these two flights of stairs and
the landing in between? |
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Intermediate:
Locate the spot on the ground where a ruler
with one end on the ground and the other
pointed at the top of one of these flagpoles
makes an angle of 45º with the
ground. Now answer this question: If
you were to walk straight up the flagpole as
though it were flat on the ground, how many
steps would it take for you to reach the
top? |
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Elementary/Intermediate:
If you were to use these flowers to make a
small bouquet of three flowers, how many
different bouquets could you make? |
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Intermediate/Secondary:
This planter is shaped like a truncated
cone. If the cone were not truncated,
how high would the top be? |
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Elementary:
Use a measuring cup and wristwatch and find
out how much water flows through this fountain
in a month.
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Intermediate/Secondary:
How would you determine how much of this
circular space is gray (light-colored)? |
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Elementary/Intermediate:
This sign offers one pair of sunglasses for
$10, 2 pair for $15 and 3 pair for $20. If that pattern continues, how
much would you pay for 50 pair? |
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Intermediate:
Are the side branches geometrically
similar to the large branch itself?
How would you prove your answer? |
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Elementary/Intermediate:
Which number is closest to the amount of
water in this pool?
100 gallons
1000
gallons
10,000
gallons
100,000
gallons
1,000,000
gallons
10,000,000
gallons |
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Elementary:
If you already owned three pairs of
different colored shorts, how many different
outfits could you make if you bought one of
each type of shirt? |
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Elementary:
How many times does the ostrich go up
and down in a day? |
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Intermediate/Secondary:
How many feet of 2 x 4's were required to
build this structure? |
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Intermediate/Secondary:
The waves that come in from the ocean do
not always travel the same distance up onto
the beach. Think of a way to measure
this, and see if there is a pattern in the
data. Describe that pattern
mathematically. |
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Elementary/Intermediate:
What would you do to figure out how many
pounds of sand this boy would have to move
in order to make a hole big enough to hold
himself? |
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Secondary:
If you put eight chairs just like these
around this table, with the seats touching
each other, and the table in the center,
what would the distance be from the inside
edge of
each chair seat to the center of the
table? |
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Elementary/Intermediate:
It costs an adult $29 to go fishing in the
morning from 8:00 a.m. to 11:30 a.m. It
costs $41 to go fishing in the afternoon
from 12:30 p.m. to 5:30 p.m. Which do you
think is the better deal? Why? |
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Intermediate:
What is the volume of the orange section of
this boat? |
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Elementary:
How many minutes from sunrise to sunset,
according to this sign? |