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Standard:
3600-08
Category: modeling
Learning Objectives:
Student will be able to:
1. Make accurate measurements and correctly calculate a
proportion.
2. Use mathematical calculations to infer conditions on
different planets.
Materials, equipment and/or facilities:
Permanent (for entire class)
Sequence and duration of each part of lesson:
Students can work
in teams that range from 3 or 4 students up to the whole class.
This lesson takes about 1 class period.
Introduce lesson: "Ancient people thought the sun was
smaller than the Earth. How do we know it isn't? [discuss] Once
astronomers agreed that the sun is in the center of the solar
system, they began to estimate how far away it is. Early
estimates used geometry and parallax. More recently they have
used radar to accurately measure the distance to the sun. Now
that we know how far away it is, we can measure its size."
Activity One: Have students predict the size of the sun in
kilometers given that the Earth's diameter is 40,000 kilometers.
Pass out a metric ruler, a meter stick, and 2 cards to each team
or individual. Have students measure and calculate the size of
the sun.
Student Instructions:
1. Write down your prediction of the diameter of the sun. The
Earth is 40,000 kilometers in diameter.
2. Punch a clean round hole in the center of one card.
Caution: be careful using sharp objects. Tape the punched
card at the 0 centimeter mark on the meter stick so that it
stands up perpendicular to the stick. Tape the other card
so that it stands up parallel to the first card like a
screen at the 100 centimeter mark.
3. Take your meter stick to a sunny area and point the punched
card toward the sun. Caution: never look directly at the
sun, not even through the pinhole. Hint: when the shadow of
the punched card falls on the other card your meter stick is
lined up.
4. Carefully measure and record the diameter of the circular
image of the sun to the nearest 1/10 of a millimeter.
5. Calculate the size of the sun using the formula:
Diameter of sun= [distance of sun x diameter of image]/[
distance of hole to surface]
Therefore,
Diameter of sun = [1.5 x 108 km x (your measurement) x 10-6 km]/[
1.0 x 10-3 km]
or,
Sun Diameter (in kilometers) = (your measurement) x 150,000
Record your results.
6. How does your calculated size of the sun compare with your
prediction?
Activity two: Students work in teams of 3 or 4. Set up the
light source near the middle of the room and dim the room lights
as much as possible. Caution: Bare bulbs get hot. Pass out a
card with grid and a card with 1/2 centimeter square hole to each
team.
Student Instructions:
1. Hold up the card with the hole so that light from the source
comes through it. It will work best if you are about 1 or 2
meters from the light. Hold your grid card so the square of
light falls on it. Adjust the distance between cards until
the square of light just covers 1 grid square (1 square
centimeter). Measure and record the distance between cards.
2. Don't move the card with the hole, but move the grid card
further back until the light covers 4 square centimeters (2
squares x 2 squares). Again measure and record the
distance.
3. Continue the process for 9 squares (3 x 3), 16 squares (4 x
4), 25 squares (5 x 5) and so on until the light is too
faint or you run out of grid space.
4. Analyze your results. Look for a pattern in the distances
you have measured. A certain fixed amount of light is
coming through the hole in the first card. When you double
the distance that light has to travel before landing on a
surface, how much larger is the area it spreads over? What
is the relationship between distance light travels and area
it spreads over?
5. Remember how the light got dimmer and harder to measure as
you moved away. Suppose an ant were on your grid card
looking at the light. When the light spread out over twice
the area how much dimmer would it look to the ant?
6. Apply the ideas from your analysis to how bright the sun
would look to a person on each of the planets. Astronomers
measure the distance from the sun to each planet in
astronomical units. One astronomical unit is the distance
from the sun to the Earth. Complete the chart below:
| PLANET | DISTANCE FROM SUN IN ASTRONOMICAL UNITS (average) | BRIGHTNESS OF SUN COMPARED TO BRIGHTNESS WE SEE FROM EARTH |
| Mercury | 0.39 | |
| Venus | 0.72 | |
| Earth | 1.00 | |
| Mars | 1.52 | |
| Jupiter | 5.20 | |
| Saturn | 9.54 | |
| Uranus | 19.18 | |
| Neptune | 30.06 | |
| Pluto | 39.44 |
Evaluation: Based on individual answers and participation with team. Was the calculated size of the sun between 1.2 and 1.4 million kilometers? Was the chart completed accurately?