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San Diego Math Trail Coronado (and Ferry) |
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Elementary/Secondary:
How would you determine how much glass was
used for all of the windows on this side of
the ferry? |
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Secondary:
As people climb onto the ferry, it sinks
slightly. At any moment, the weight of
the entire ferry is equal to the weight of
the water that the ferry pushes out of the
way (displaces) below itself.
How would
you determine exactly how much the ferry
sinks when a 185 pound man steps onto it? |
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Intermediate:
The length of the ferry appears here to
be the same amount as the height of the
tallest building (because the building,
though actually much taller, is much farther
away). What else would you have to
know in order to find the height of that
building? |
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Secondary:
The height of this bridge is a function of
how far you are from the shore. Which
of these equations do you think could
represent that function? (a, b, c, and m are
constants):
y = c
y = mx + b
y
= ax˛ + bx + c |
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Intermediate/Secondary:
Select three of these paintings and for
each one describe all of the kinds of
symmetry that it has. |
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Intermediate/Secondary:
This basket is made of one long spiral of
material. How long is the spiral? |
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Elementary/Intermediate:
If you had a frozen yogurt here every day, with
two different toppings, how many days could
you do that without having the same two
toppings as you had on another day?
Secondary:
Same question as above, but with five different toppings each day. |
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Elementary:
How would you find out how much water is coming
out of the fountains each hour?
Intermediate:
How many cubic feet of water are in this
pool? How many gallons?
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Elementary:
How many different ways could you spend
$5.00 to buy the items in these baskets? |
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Elementary/Intermediate:
Make a frequency chart of the head sizes
represented by these hats, for either men or
women.
Secondary:
Suppose
you had a hat factory, and you had to decide
how many hats of each size to make. If
you do that by measuring a group of people,
how many people would have to be in that
group to give accurate results? (You
will have to decide exactly what
"accurate results" means.)
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Elementary:
How many square inches of glass are in the
lampshade on the left? |
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Elementary:
Name all of the geometric ideas that you see
here. |
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Intermediate/Secondary:
Suppose you were the architect for one of
these buildings, and you had to decide how
many elevators to put into the buildings,
and how fast those elevators should be able
to travel. List all of the factors
that would go into making that decision. |
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Elementary/Intermediate:
Create your own pattern for a shirt, and
write down an exact description of that
pattern, using mathematical language. |
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Intermediate:
Measure the width of this creature's
body from the tip of the triangle on one
side to the tip of the triangle on the other
side, for all five sets of triangles.
If the
creature had three more sets of legs and
triangles, what would the width be at the
bottom (triangle tip to triangle tip)? |
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Intermediate:
The amount of force that the wind
applies to this sail is in direct proportion
to the area of the sail. If the height
and width of this sail were half of what
they are, what would that do to the amount
of force applied by the wind? Explain your
reasoning. |
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Elementary/Intermediate:
If this boat is moving at a speed of 15
knots, what is its speed in miles per hour? |
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Intermediate:
Trace the outline of one of the oval pieces,
and see if you can make an ellipse with that
exact shape.
Secondary:
Trace the outline of one of the oval pieces,
and find the equation of an ellipse that
most closely matches it. |
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Elementary:
Estimate the total cost of buying 10
different items in this store, as fast as
you can. |
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Intermediate:
Assuming these are right triangles,
determine the height of one of the triangles
without directly measuring it. |
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Secondary:
If you want
the letters on this sign to subtend an angle
of 5 degrees when viewed from 15 feet away,
how tall should they be? |