Cometary Tales Hands-On Science Cooking With Kuiper: The Instruction Set

Cooking With Kuiper: The Instruction Set

(update:  2/18/2015)

Time to build a comet!

If you have adult or older-student assistants, ask them to take charge of crowd control; that is, keeping the audience from crowding around the demonstration. Everyone will get to see the comet! Spare a minute for a brief lecture on the hazards of dry ice. You may have participants who know that dry ice can “burn”, but not all will understand that idea at first. However, no one wants to get hurt. Mention that you will be protecting your hands with gloves and your eyes with safety goggles (or safety-rated eyeglasses).

Supplies for Comet Making (Just Add a Cooler-Full of Dry Ice)

Supplies for Comet Making (Keep your cooler-full of dry ice in a safe spot.)

Participation opportunities include: helping move the materials and equipment to a mess-tolerant location, measuring ingredients, and smashing dry ice. The trauma of allotting slots to help out is one important reason to try the exercise at least twice. (Crowd-control tip: sometimes it helps to announce “I’ll only choose helpers from those who do not raise hands and call out to volunteer.”)  As a first step, take one of your plastic bags and cut it open along one side, then use it to line your mixing bowl.  Take 2 other bags and put one inside the other to make a double-thickness bag.

In the first stage,  your chosen helpers will take turns measuring all the “safe” ingredients into the bag-lined mixing bowl.  Working with the dry ice needs closer control, so keep your supply of CO2 off to one side for now.  As you introduce each ingredient, explain why it’s being included.  You can use the short explanations provided here as a starting point, adding your own facts or curriculum tie-ins, but remember to keep it brief or you’ll lose your audience’s attention.

Let’s start with water: most comets are composed primarily of water ice. During the early formation of the solar system, the planets were bombarded by comets—so some of the water you will use in this experiment may have actually originated in the Kuiper Belt!  (For a popular-science overview, check out this article from Time Magazine.)  Your helper will add 2 cups of water.

Next, add sand or gravel: most comets incorporate at least some rocky material.  Have your helpers measure out about 2 Tablespoon (TB) of grit.

Next, you’ll add ammonia: real comets typically contain NH3, the active ingredient in this cleaning solution.   (Regrettably, few, if any, comets show up to help when it’s time to clean house.)  If you’re using a squirt bottle to store the solution, your helper just needs to add one “squirt” of ammonia solution.  Otherwise, your helper should measure in 1 Tablespoon.

A Dirty Soup of Rocks, Water, and Organics

A Dirty Soup of Rocks, Water, Ammonia, and Organics

And, for our last step before major excitement sets in, stir in a touch of ice-cream topping: these contain organic molecules, which are a normal component of comets. The organic molecules in real comets are not this delicious–they include hydrogen cyanide and formaldehyde–but comets often contain complex and interesting compounds such as amino acids.   Researchers at NASA’s Ames Research Center have shown that amino acids from comets striking Earth long ago during the Solar System’s early eons would not only survive impact but would form even more important compounds for life under the heat of impact.   So it may be that we are here to enjoy ice cream (and sugary toppings) thanks to ancient comets.   Let your helper squirt in one squeeze-worth (it will be about a tablespoon).

Now, finally, it is time to add the dry ice.  Comets contain significant quantities of frozen gases, especially carbon dioxide, which just happens to be the gas that we call “dry ice” when frozen.  This stage of your demonstration is a two-step process. First, you will put on safety goggles and work gloves and use the hammer to tap off about 2 pounds of dry ice (1/4 to 1/3 of your supply).  Place the chunks into the doubled plastic bag and twist the opening closed.  Then, and only then, one lucky volunteer will be asked to don a set of goggles and, once protected, may proceed to smash the contained dry ice with the hammer.

Crushing Dry Ice with Flat Side of Hammer

Crushing Dry Ice with Flat Side of Hammer

Have your crusher use a two-handed grip (this helps deflect the temptation to also handle the bag of dry ice and also limits the range of motion, protecting bystanders from the crusher’s swing) and turn the hammer sideways, to smash with a broader surface area.

Once that stage is completed, ask the crusher to rejoin the group.  Make sure that the wooden stirring spoon is at hand and that you are still wearing your work gloves and goggles. Then open the bag and quickly scoop out roughly two cups of crumbled dry ice.

2 Cups of Ice-Cold CO2

2 Cups of Ice-Cold CO2

Give the mixture a stir and then swiftly add the dry ice, stirring vigorously. There will be some dramatic vaporization of CO2 and in moments the dry ice will freeze the water solution to a slushy slurry. Quickly wrap the plastic bag around your slushy mass and—keeping those gloves on—form the contents into a snowball, using firm pressure to shape the contents.

Comet's In the Bag

Comet’s In the Bag

You will feel the mass harden as you form your iceball. At that point, it is time to unwrap the comet and reveal it to your onlookers. You will have something that looks surprisingly like the common description of a comet—“a dirty snowball”.  You may even want to use your snowball-making skills to firm up the comet a bit once you remove it from the bag–remember to keep your gloves on!

Forming Up the Proto-Comet

Firming Up the Comet

Your finished comet

Your finished comet

Set the comet aside on a cold-safe surface, in a location where the eventual water-ice-melt will not damage anything. The comet will continue to outgas CO2 vapor. If you are working outdoors, any breeze will push this plume into a fair imitation of a comet’s tail.

Gases (CO2) immediately begin to sublime from the comet's surface

Gases (CO2) immediately begin to sublime from the comet’s surface

Your experiment team will undoubtedly want to repeat this process. A typical group of students will demand about four comets. After 2 or 3 builds, it will be time to set up fresh plastic bags for mixing and crushing.  If the group is larger, find ways for students to share participation tasks. For instance, two students can take turns as dry-ice crusher, two can each measure one cup of water into the mix, and so on.  As you proceed, instead of repeating the descriptive information yourself, invite the students to call out more of what they remember about the components represent.

Comet, Starting in "Dirty Snowball"

Here’s one small starter comet, let’s call this one “Dirty Little Snowball”

 

These model comets will last a long time, up to a few hours depending on their size and the conditions.  You can explain that the comets which get our attention are much larger–Comet Halley is estimated to be about the size of Manhattan Island–and between visits to the inner Solar System, they orbit back to where it is too cold for water, ammonia, or CO2 to be anything other than solids.  By no means do you need to make any effort to create spherical, smooth comets.  In fact, as you create successive comets, allow them to be different, irregular, and, well, messy.  Here are a few samples from a few of my comet-making sessions:

That's one frosty, rocky, comet:  "Before"

That’s one rocky comet, frosted with ice crystals of H2O and CO2

 

 

That's one slimy, partly-dissociated comet

Here’s a comet with conspicuous dark patches

That's one tall, cone-shaped comet

That’s one tall, frosty, cone-shaped comet

 

 

 

 

 

 

 

If your schedule permits, allow some time to pass and return to look at the comets after they have lost more material, as if you are checking in on a comet as it approaches the sun and some of its ice has been drawn off under the combined forces of the sun’s radiation and the solar wind…forming the comet’s tail.

Holey Comet, Batman!

Holey Comet, Batman!

You might also like to read:

Walking to Pluto, Step 4Walking to Pluto, Step 4

Step 4:  Go Farther

Pluto & Charon in Full Color (Image Credit:  NASA)

Pluto & Charon in Full Color (Image Credit: NASA)

New Horizons has flown past Pluto successfully, and is now on the way to check out other Kuiper Belt objects.  Here’s Corwin Wray’s simulation (made with Pixel Gravity, his software for doing multi-body models on your laptop), which concludes with a wistful look back at our Solar System:

 

Like New Horizons, you can explore further too.

It’s worth your while to start by tracking down Guy Ottewell. Yes, he’s on the web, folks, and you can connect with him! Start with his Home Page, which includes all of his books, including the latest version of the book form of his Thousand-Yard Model as well as innovative ideas in several fields, from voting systems to landscape design:    He has a Facebook Page on which he’s been more active as of 2014, sharing art and world news:    And he joined Twitter in 2013 and tweets regularly, especially on human-rights topics, which should interest anyone who’s become aware of just how small our human community is in this huge universe: find him as simply @GuyOttewell on the tweet machine.  A few of his books are available at Amazon, but take care—the latest updates are best obtained by purchasing directly from the author.

 

Of course, you might want to follow some of informational links given in the workbook pdf’s for this project:

For more information on both the inner and outer planets: http://solarsystem.nasa.gov/planets/charchart.cfm

For more information on the asteroid belt:   http://solarsystem.nasa.gov/planets/profile.cfm?Object=Asteroids&Display=OverviewLong

For more on Kuiper-belt objects and Pluto:   http://solarsystem.nasa.gov/planets/profile.cfm?Object=KBOs and also http://solarsystem.nasa.gov/planets/profile.cfm?Object=Dwarf

And of course we have an active mission beyond Pluto right now.  It’s an APL project, so they have a great page on the program:  http://pluto.jhuapl.edu/

Read about the Pioneers’ adventures here http://www.nasa.gov/centers/ames/news/2013/pioneer11-40-years.html#.UzDJ44WwX_0 and here http://www.nasa.gov/topics/history/features/Pioneer_10_40th_Anniversary.html#.UzDKb4WwX_0

Discover more about the Voyager missions at: http://voyager.jpl.nasa.gov/where/index.html

And find out where all the system-leaving spacecraft—as well as Earth-orbiting satellites, the planets, and other system objects–are right now: http://www.heavens-above.com/SolarEscape.aspx?lat=0&lng=0&loc=Unspecified&alt=0&tz=UCT

For more on the Oort cloud, see http://solarsystem.nasa.gov/planets/profile.cfm?Object=KBOs

 

Lots of other interesting links:

The National Optical Astronomy Observatory presents Guy Ottewell’s original project description from 1989 online:

A wonderful collection of poems and quotes related to astronomy, gathered by Michele Stark, an astronomer with a wonderful page she created while lecturing in physics at the University of Michigan, Flint. l  You’ll also find astronomy labs she’s created for non-majors interested in the field, under “Outreach and Education”

A relatively exhaustive listing of scale models in place around the world—most are designed for point-to-point driving or cycling tours, so scroll to the bottom portion of the list for walkable models, several of which are roughly on the same scale as that presented here. Check before you set out—some of these installations were only temporary, as part of larger events and some are virtual (i.e., online). I would like to imagine astronomy fans travelling to all of them, as baseball fans travel to all the major-league parks.

The National Center for Earth and Space Science’s “Voyage” program has a “somewhat” pricier scale model in Washington D.C. but also offers up lots of useful curriculum materials:   http://voyagesolarsystem.org/   Their program is fee-based, not by any means free, but it is very comprehensive and aims to involve parents, teachers, students, and their communities: http://journeythroughtheuniverse.org/home/home_default.html

You can keep track of the Voyager spacecraft in real time at http://voyager.jpl.nasa.gov/where/index.html   They’re in rapid motion—Voyager 1 is travelling at over 38 thousand miles per hour (over 17 km per second).

All about the sun (with a wonderful NASA graphic of a solar flare compared with the Earth): http://www.universetoday.com/94252/characteristics-of-the-sun/

A summary page on the Peppercorn Model at SpyHill Research, which also includes some links to interesting places: http://www.spy-hill.net/myers/peppercorn/

Why isn’t an AU exactly the same as Earth’s orbit any more? Sorry academics, the best answer is in Wikiland: http://en.wikipedia.org/wiki/Astronomical_unit

More about our Moon: http://www.universetoday.com/19677/diameter-of-the-moon/ By the way, Universe Today is a good site to follow!

Asteroid information for Wiki fans: http://en.wikipedia.org/wiki/Asteroid_belt

The Project Astro Notebook used to be sold as a huge expensive bulky (and still wonderful) binder. Soon, you’ll be able download at least some portions in pdf format from the free government-sponsored education resources site eric.gov. However, for now your best bet is to buy the DVD’s at http://astrosociety.org/astroshop/index.php?p=product&id=577&parent=1

While you are waiting for your DVD to arrive, the Astronomical Society of the Pacific has a page full of resources for you, including a few of the Project Astro activities. http://www.astrosociety.org/education/astronomy-resource-guides/

If you actually need to shop for marbles, by all means the best place for working on this project would be “Moon Marbles”, at http://www.moonmarble.com/c-78-shooters-approx-19mm-or-34.aspx

Astronomer Phil Plait summarizes the latest estimates on stars with planets beyond our own system: http://www.slate.com/blogs/bad_astronomy/2013/11/04/earth_like_exoplanets_planets_like_ours_may_be_very_common.html

Why use a FIFA 4 or 5 ball? Well, the dimensions are good for it. But any similar-sized ball will do for this project…like the tennis-ball-patterned playground ball I have.  Guy Ottewell likes to use a bowling ball—but notes that it’s kind of heavy to lug around. http://www.achallenge.com/t-faq.aspx

A seemingly unrelated topic—watching for the bright flare of reflected sunlight from certain Earth-orbiting satellites: http://www.washingtonpost.com/wp-srv/washtech/features/iridiumqa.htm The interviewer on that page is talking to Chris Peat, whose website contains a wealth of information on satellites, the solar system, and the positions of the Pioneer and Voyager spacecraft. http://www.heavens-above.com/?lat=0&lng=0&loc=Unspecified&alt=0&tz=UCT

Just to show how established walkable solar system models have become, here’s a typical promotion for a talk by Eric Myers of SUNY (see the GoogleMaps list below) and another talk summary that may inspire you to think about other ways of building a model https://nightsky.jpl.nasa.gov/event-view.cfm?Event_ID=44693   and http://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=7&ved=0CGcQFjAG&url=http%3A%2F%2Fregionalaaptmeeting2013.weebly.com%2Fuploads%2F2%2F2%2F9%2F3%2F22939768%2Faapt_meeting.docx&ei=jaU5U5rvCqiIyAGK0YHwBw&usg=AFQjCNHl4_6jyF2UU_JJ7H9SrD6suXOhjA&sig2=MBKeDxFBGjHlVB2rk8n3wA&bvm=bv.63808443,d.aWc

A few places (courtesy of SpyHill Research’s page) where you can use GoogleMaps to follow a model:

> SUNY College at New Paltz, New York:  Map, KML

> Dutchess County Rail Trail, Morgan Lake, Poughkeepsie, New York:  Map, KML

> Riverfront City Park, Salem, Oregon:  Map, KML

> Walkway over the Hudson, between Poughkeepsie and Highland, NY:  Map, KML

> Marist College, Poughkeepsie, NY:  Map

 

For an insanely delicious solar-system project for any mad bakers in your circle, visit Rhiannon’s recipe on her cakecrumbs blog: http://cakecrumbs.me/2013/08/01/spherical-concentric-layer-cake-tutorial/ with some extra photos and video on waitwow http://www.waitwow.com/make-scientifically-accurate-cake-planets/

If you need more reassurance that science and math are not only fun but also funny, visit http://www.xkcd.com (but do prescreen before sharing with students—this webcomic does sometimes use “PG-13” language.

If you have already memorized all of Gary Larson’s Far Side comics, visit the science cartoon webring at http://jcdverha.home.xs4all.nl/scihum/webring.html

And of course, don’t forget to visit Science Cartoons Plus (http://www.sciencecartoonsplus.com/pages/gallery.php)

 

Materials shopping tips:

Pins with small round heads—look for beading pins—however, be aware that beading pins aren’t sharp, so pick up some ordinary pins as well. http://smile.amazon.com/Beadaholique-20-Piece-Ball-21-Gauge-1-5-Inch/dp/B00BBAXXYS/ref=sr_1_1?s=arts-crafts&ie=UTF8&qid=1396515591&sr=1-1&keywords=pins+2mm+head   For pin tips, any small sewing pin with a nice sharp tip will do. (Note that beading pins are not that sharp.)

For the jacks ball, you can pick up a jacks set anywhere. Online (e.g., www.orientaltrading.com , they’re often sold in party packs of a dozen sets. But any bouncy ball bigger than Ÿ” and no bigger than 1” in diameter will do the trick.

If you decide to buy a playground ball or soccer ball online, locate an air pump before your shipment arrives—they’re often shipped uninflated.

And if you buy on Amazon, be sure to sign up for smile.amazon.com first, so your purchases can support your favorite charity.

Walking to Pluto: Step 1Walking to Pluto: Step 1

 

Compare the sizes of Earth and Pluto & Charon Image Credit: NASA

Compare the sizes of Earth and Pluto & Charon (Pluto’s shadow isn’t that big on Earth!) Image Credit: NASA

It’s been a super-fantastic #PlutoFlyby day (see the video for a Pixel Gravity simulation of New Horizons’ close approach path on 7/15/2015), and I can’t resist going to one of my favorite astronomy projects:  building a scale model of the Solar System that takes you out of the house, out of the classroom, and under the sky.  (Where maybe Pluto’s shadow, cast by a distant star, will pass over you.)

As a reminder, you can look for the following in any Messy Monday project:

  1. A set of notes for project leaders, sketching the key elements of the project and the science topic it is meant to address
  2. A detailed supply list, structured to make it simple to purchase supplies for either a one-shot demonstration or for a classroom-sized group activity.
  3. A set of instructions for working through the project with students, including commentary to help cope with common classroom-management issues, questions that are likely to arise, and issues to keep in mind from safety to fairness.
  4. A rough estimate of the cost to run the project.

 

As before, I’ll break down the presentation into four postings, to spare readers trying to scroll through a 5000-word document, but I’ll post them quickly, so you can jump ahead if you are raring to go or want to access the reference materials first.  In other projects, we built our own comets. In this project, we travel out into the solar system, hoping to reach the source of that comet.

 

Step 1: Space is Big

It’s a long way to Pluto. But as far as the Universe is concerned, Pluto’s in our condo’s tiny back yard. What would it be like, though, to take a hike to Pluto? Like the New Horizons Spacecraft spacecraft buzzing past Pluto and its cluster of moons, but, well, maybe taking a bit less time about it. Nine years (the explorer was launched in early 2006) is longer than even the above-average student’s attention span. What if we could shrink the Solar System down to a reasonable size for nice walking field trip?

Paths of the nine planetary objects orbiting the Sun for many years.

Paths of the nine planetary objects orbiting the Sun for many years (A Pixel Gravity simulation result.)

No surprise here: it’s been done. Six ways to Sunday, in fact. While no one person claims to own the idea of building a scale model of the solar system, my favorite advocate of such models is Guy Ottewell, who likes a scaling factor that makes the model a reasonable size for the average person to walk. You can buy his book on the subject (now with cartons!) at the books page on his website. As a bonus, you’ll also find the most current editions of all of his other books on astronomy and much more.   (He self-effacingly describes his annual Astronomical Calendar as “widely used”; a more-accurate description would be “fanatically used by serious amateur astronomers”.)  No disclaimer necessary;  we’re not friends, I’m just one of his (many) Twitter followers.

The goal of this project is for everyone involved to obtain a personal sense of the feature of Outer Space that is hardest to conceptualize by reading books and trolling the internet: Space is BIG. (Yes, you may pause to reread the opening to The Hitchhiker’s Guide to the Galaxy, by Douglas Adams.)  Indeed. Really Really Big.

Our neighbor galaxy, Andromeda (Image Credit:  ESA/Hubble)

Our neighbor galaxy, Andromeda (Image Credit: ESA/Hubble)

On top of that, the places you can stop—the non-empty bits—are few and very tiny compared with the distances between them.  And it takes a long time to get from one stop to another.

So, when assembling materials and presenting this project, keep these two key goals in mind. It’s not important whether you model Earth as a peppercorn (Ottewell’s model) or an allspice seed (easier to find in my own kitchen) or a spitwad from the ceiling that happens to be about a tenth of an inch across.   What’s important is that the Earth is not only extremely teensy compared to the Sun, but you can’t even fit the Sun and Earth into an ordinary classroom. And you have to hike at least a half a mile (a kilometer) if you want to make it to Pluto. With any luck, you can make practical use of the excess energy in a classroom-full of kids and also amaze them. If you’re doing this as a classroom helper and the teacher is used to taking advantage of the time to catch up on infinite paperwork, this is a time to persuade that teacher to shove the paperwork aside and join the expedition. There will be no regrets!

The objects used to represent planets and other bodies should be chosen for familiarity, because you want the participants to absorb the scale comparisons effortlessly. “Everyone knows” how big a jellybean is, a pin is familiar—both the pushing end and the painful poking end—a soccer ball is a known object, and so on. It doesn’t matter if the object you use is not exactly the design diameter—and no one is going to care that jellybeans or coffee beans are bumpy ovoids, not spheres. The next time you’re eating a jellybean (or slurping a Starbucks), at the back of your mind will be “I had to hike a half-mile just to get to this little Neptune here”.   Plus, “Yum, astronomy is delicious.”

If you’re interested in the underlying concepts, I encourage you to stop by the National Optical Astronomy Observatory’s website and read Guy Ottewell’s original 1989 description of his Thousand Yard Model; however, if you consider yourself a mathphobe, don’t let the arithmetical computations worry you. I’ve made you an Excel worksheet to do that task. Running a mind-expanding science project should help relieve that condition, not make it worse.

If you have visited a museum’s scale model, read Ottewell’s book, or done a similar project in the past, there are a few differences you may encounter in this project. In particular, I suggest you avoid having planets represented by peanuts. Including nuts in school projects, can be problematical if any student (or parent helper) with nut hyper-allergy could possibly be affected. (I have relatives with this allergy, and there is nothing quite like coping with anaphylactic shock to ruin a day’s outing.)

Dwarf Planet Ceres Image Credit:  NASA/JPL-Caltech/UCLA/MPS/DLR/IDA

Dwarf Planet Ceres Image Credit: NASA/JPL-Caltech/UCLA/MPS/DLR/IDA

I’ve included a few more “destinations”—such as the ever-popular asteroid “belt” and my personal favorite of Pluto’s fellow dwarf planets. The number of steps taken between planets (and other destinations) is greater, because kids take shorter steps than grown-ups. (Also, other models I’ve seen assume a stride length more typical of men—and the majority of teachers and parent volunteers are still women, with shorter strides than men.) And I’ve included the current (for now, at least) locations for a few more distant “destinations” that we can look out towards from our turnaround point at Pluto.

The tables I’ve provided are in both English and SI units. The scales are slightly different between the two, in order to yield intuitively-scaled results in either set of units. And I’ve provided a “cheat sheet” of the key data for a teacher or other presenter to carry as a reference source on the walk. If anyone would like to get completely precise and build their own model matching their pace length exactly, or adjusting to a different scale, you can request a copy of my Excel workbook for this project to create your individualized pace-off. Or if you know a Senior Girl Scout or Boy Scout in need of a Gold Star or Eagle project, a community solar system model would be a very cool service project. (C’mon, Scouts, do you really want to build another park bench?)

Speaking of space, and coolness, and peanuts, and bigness, by the time your group finishes this project—everyone who participates should wholeheartedly agree:  Space is Big

A Sign From NASA

A Sign From NASA

 

 

 

Walking to Pluto: Step 2Walking to Pluto: Step 2

Step 2: The List of Requirements:

Don’t worry.  This is one of the least expensive major science projects you’ll put together.

You’ll need:

Note that

I found a sunny yellow ball for my Sun.

1) Any ball roughly 8” (19mm) in diameter—a basic playground ball is likely to work, as will a standard soccer ball. FIFA size 5 works for the English-units model; the SI model is slightly smaller, so a youth-sized FIFA size 4 is appropriate—but don’t get bogged down in the details. Visually, when compared with the planet models, all of these ball sizes look the same.  It’s most likely that you already own or can borrow a ball for this project; if you simply must buy a ball, you should be able to find one for under $10.

 

 

2)  A set of eleven objects to represent each of the eight planets, our Moon, and two of the dwarf planets:

Mars or Venus

Mars or Venus

Pluto or Ceres

Pluto or Ceres

a)  four pins (two pin heads represent Mars and Venus, two pin points represent Ceres and Pluto),

The Moon Is Made Of Green Candy

The Moon Is Made Of Green Candy

b) one tiny candy nonpareil (cake dĂ©cor or “sprinkle”) for the Moon

Earth Gets Spicy

Earth Gets Spicy

c) two peppercorns or allspice seeds for Earth and Venus

 

Having a Ball with Jupiter

Having a Ball with Jupiter

d) one jacks-size ball (Jupiter)

This jellybean could be Uranus or Neptune

This jellybean could be Uranus or Neptune

e) two jelly beans (or coffee beans) for Neptune and Uranus

 

Saturn represented by a large swirly peppermint

Saturn represented by a large swirly peppermint

f) and a Ÿ” (19mm) “shooter” marble or a big round piece of candy (also 3/4″ or 19mm) for Saturn.  (It’s just so nice to have something extra-cool and colorful for our most spectacular planet.)

 

 

Total cost: less than a dollar US; ideally, rummaging about an average home or allowing participants to bring contributions should turn up most of these objects for free. To splurge, pick up a whole jar of fresh peppercorns for around $5 and share them out among the students.

2) Eleven inexpensive holders for your objects, with the object names written on them. Empty clear yogurt containers or plastic drink cups work very well (see photos), as the pins can be pushed through the cups and others attached with glue to the cup bottoms
such that the cups then serve as mini-pedestals for the model objects. However, don’t feel bound by guidelines here—a set of index cards will do the job if that’s what you have handy. It does help to secure each object to its support. However, be sure that students can see the actual object clearly so that everyone has a feel for the scale. Cost: as much as 10 cents

3) A few signs printed on regular-sized paper to leave with objects that will be waiting for your return, such as:  “Please Leave This Experiment Undisturbed — (Teacher’s Name).”   Cost: 10 cents

4) Weights to keep each sign from blowing away in a breeze—anything from a handy rock to a water bottle to an actual sports-field marker from your supply closet.   Cost: negligible

5) Your basic first-aid kit and/or other equipment required by local protocols for a field trip.

6) Water as needed (Up to $10 if you need to buy each student some bottled water; negligible if students can bring refillable water bottles.) You may choose to make the walk as short as a half-mile (kilometer) or as long as twice that. For a short walk, you should only need modest supplies; for a long walk, snacks and water will be welcome.

7) A printout of your “Cheat Sheet” for either the English-units or SI-units version of the project Walk to Pluto, Miles or Walk to Pluto, km   (Just click to download the desired document) Whichever measurement system you’re using, it’s just one sheet, front & back, and includes short comments you can make as you take your trek. Cost: 15 cents, if your printer ink is expensive, because it does have colors.

Total cost of essential supplies: normally about a dollar, assuming most items can be gathered at home or borrowed.   For bottled water, if needed, budget an additional 50 cents per student

If you purchase all new supplies, you could spend as much as $40 for a brand-new soccer ball, a jar of nonpareils, a jar of peppercorns, a packet of pins, a jacks game, a bag of marbles with a shooter, and a package of jellybeans.

Interested in more details about the project calculations?  Here are copies of the complete worksheets:  Walk to Pluto Databank, miles and Walk to Pluto Databank, km

(For workbook copies in Excel format, ready for editing, I can send you a copy via Facebook messaging.  Just connect to one of my pages, Pixel Gravity or Cometary Tales.  Say, while you’re there, “like” the page.  Either way, you’ll receive the file in a return message.  The beauty of this approach is that you don’t even need a copy of Excel to use the workbook—Facebook will prompt you to choose whether to open it in Office Online or to download it.  The alternative is to email me via cometary@cometarytales.com.)

 

 

 

 

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