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Week 08 Β· How Big: Sizes and Properties

Wednesday

Sky Deck Lab: Planets to scale
// Reading the planets as a data table
⏱ about 20 min

Wednesday: Sky Deck Lab: Planets to Scale

Rocket spreads paper, a ruler and scissors across the Sky Deck table. "One centimeter for Earth. Everything else follows."

He cuts a circle 1 centimeter across and holds it up. "Tiny. Now Jupiter." He draws a circle 11 centimeters across.

Raven measures a loop of string on the floor, 110 centimeters across. "What do you notice? That is the Sun."

Rocket sets his little Earth inside the string circle. It almost disappears.

"Mercury is less than half a centimeter," Raven says. "I can barely cut it."

Nova hovers over the floor circle. "Last week the model hid the sizes," she says. "This week it hides the distances. Notice what each model gives up."

Your mission

Today you cut paper circles for all eight planets at one scale: Earth is 1 centimeter across.

Each diameter from the NASA fact sheet was divided by Earth's diameter, 12,756 kilometers, to get the size in centimeters.

The Sun at this scale is about 110 centimeters across, too big for paper. You lay it out in string on the floor.

  • Several sheets of paper and a pencil
  • A ruler with centimeters
  • Scissors, with a grown-up nearby
  • Round objects to trace: a coin, a bottle cap, a cup, a bowl and a plate
  • About 3.5 meters of string for the Sun circle
  • Your Sky Log
Safety first
Cut slowly with the blades pointing away from you, and keep fingers behind the blades. A grown-up helps with the tiny circles.
Lay the string flat on the floor in a cleared space. Never loop it around anyone, and pick it up when you finish.
Pick up paper scraps so no one slips.
WorldDiameter (km)Paper size (cm)Something about that size
Mercury48790.4a tiny bead
Venus12,1040.9a small bead
Earth12,7561.0a small bead
Mars67920.5half a bead
Jupiter142,98411.2a small plate
Saturn120,5369.4a saucer
Uranus51,1184.0a bottle cap
Neptune49,5283.9a bottle cap
The Sunabout 1,400,000about 110a string circle on the floor
  1. Draw and cut Jupiter first, 11.2 centimeters across. Trace a plate or draw with the ruler.
  2. Cut Saturn, Uranus and Neptune. Then cut Earth and Venus, about 1 centimeter each.
  3. Cut Mars and Mercury last, with help. They are the hardest because they are so small.
  4. Lay the string in a circle about 110 centimeters across on the floor. That is the Sun.
  5. Place all eight planets inside the Sun circle. Record how much of the circle they fill.
  6. Line the planets up in order from the Sun. Record which ones you can barely see from standing height.
ObservationWhat I found
How many Earth circles fit across Jupiter
How much of the Sun circle the eight planets fill
Planets hard to see from standing height
Something in my home about the size of paper Jupiter
PREDICT, THEN CHECK
  • Read the question.
  • Tap your answer.
Before you cut: about how many paper Earths fit across paper Jupiter?
Which pair of planets will come out nearly the same size?

What the model gets right and wrong

Right: the sizes. Every planet is in true proportion to the others and to the Sun.

Right: the two families. The four tiny circles and the four big ones sort themselves on the table.

Wrong: the distances. At this scale Earth would sit about 117 meters from the string Sun, far outside the room.

OpenStax Astronomy makes the same point. A model that shows sizes well cannot also show distances in one room.

Model claimTrue or false?
At this scale Earth is 1 centimeter across.?
Paper Jupiter is about 11 times wider than paper Earth.?
The paper model shows the planets' true distances from the Sun.?
The Sun circle is about 110 times wider than paper Earth.?
WHY THIS EXERCISEA size model and a distance model each hide something. Knowing which is part of using data well.
BUILDING THE MODEL
  • Tap a card.
  • Then tap its spot.
1First
2Second
3Third
4Fourth
Try this
Stack your four terrestrial planets on paper Jupiter. How much of Jupiter do they cover together?
Write what that tells you about where most of the planets' material is.
Draw your string Sun as a large circle. Inside it, draw the eight paper planets at their true relative sizes.

Careful cutting. Tomorrow you read the rest of the NASA fact sheet: days, years, gravity, heat, moons and rings.

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