3D SCALE MODEL OF THE EARTH
Directions: Follow all steps to receive 40 points towards you Project Grade. Your group is graded as a whole.
- Getting Your Sphere: Joanne’s Fabric, Walmart, & Michael’s have 8 and 6 inch Styrofoam spheres.
- Finding Your Scale Calculations 10 points: Complete worksheet for both 8 and 6 inch sphere. The ‘X’ for each layer represents the thickness of each layer, not its radii. If you are working with a different size model, please see me to get an adjusted scale worksheet. Everyone does this!
- Cutting & Using Math Page to Trace Layers 10 points: Have your parents help you. Go to youtube.com and search for Ben Holt Mrs. Kepner or type in the following for directions: http://www.youtube.com/watch?v=e1V8iyyLY5U & http://www.youtube.com/watch?v=al2x-rKPkkw&feature=related.
- Painting Layers and Labeling 10 points: Each layer of the Earth should be:
- painted, labeled with the name of the layer, and
- indicate its size in centimeters. The size on your model should be the same size you found in your calculations on the math page.
- Paint outside to look something like the Earth (Green land/blue water)
- Create a method for supporting model 10 points: Let your creativity reign. Somewhere on your stand should be a title, your group members, and table including the layers of the earth, their actual size, and their size on your model.
Math Page Completed – 8/31
Sphere cut, Layer’s measured & marked; design for labels & stand: 9/9Completed Model (painted & stand made – put together in class – 10 minutes): 9/23
Jobs:Math Page: Everyone .
Sphere Cutting, layers measured & marked: _____________________________
Paint Layers & make labels: ____________________________
Stand: ________________________________
MATH PAGE
(COMPLETE EITHER 8 & 6 INCH OR 10 & 4 INCH TABLES)
Layers of the Earth | Actual Value | 8 inch foam sphere (actually 19.8cm)Scale Value (1:62,500,000) | 6 inch foam sphere (actually 14.5cm)Scale Value (1:83,333,333) |
Radius of Earth | 6410 km | 9.9 cm ≈ 9 cm 9 mm | 7.25 cm ≈ 7 cm 3 mm |
Thickness of crust (average) | 50 km | 50 km = X cm 6410 km 9.9 cm
cm ≈ X | 50 km = X cm 6410 km 7.3 cm
cm ≈ X |
Thickness of mantle | 2900 km | 2900 km = X cm 6410 km 9.9 cm
cm ≈ X | 2900 km = X cm 6410 km 7.3 cm
cm ≈ X |
Thickness of outer core | 2260 km | 2260 km = X cm 6410 km 9.9 cm
cm ≈ X | 2260 km = X cm 6410 km 7.3 cm cm ≈X |
Radius of inner core | 1200 km | 1200 km = X cm 6410 km 9.9 cm
11,880 cm/km = 6410X cm/km 6410 km 6410 km 1.9 cm ≈ X | 1200 km = X cm 6410 km 7.3 cm 8760 cm/km = 6410X cm/km 6410 km 6410 km 1 cm 3.6 mm or 1.4cm ≈ X |
Layers of the Earth | Actual Value | 10 inch foam sphere (actually 24.5 cm)Scale Value | 4 inch foam sphere (actually 10 cm)Scale Value |
Radius of Earth | 6410 km | 12.25 cm | 5 cm |
Thickness of crust (average) | 50 km | 50 km = X cm 6410 km 12.25 cm
cm ≈ X | 50 km = X cm 6410 km 5 cm
cm = X |
Thickness of mantle | 2900 km | 2900 km = X cm 6410 km 12.25 cm
cm ≈ X | 2900 km = X cm 6410 km 5 cm
cm ≈ X |
Thickness of outer core | 2260 km | 2260 km = X cm 6410 km 12.25 cm
cm ≈ X | 2260 km = X cm 6410 km 5 cm
cm ≈X |
Radius of inner core | 1200 km | 1200 km = X cm 6410 km 12.25 cm 14,700 cm/km = 6410X cm/km 6410 km 6410 km 2.3 cm ≈ X | 1200 km = X cm 6410 km 5 cm 6000 cm/km = 6410X cm/km 6410 km 6410 km 0.9 cm ≈ X |
Rubric for 3D Model of Earth | |||||
Jobs | 1-2 points | 3-5 points | 6-7 points | 8-9 points | 10 points |
Math Job | Work messy or late, incorrect, doesn’t show work | Work might be messy or late; work correct; doesn’t show any work | Work might be messy or late; work correct; doesn’t show some work | Work might be messy or late; all work correct; work shown | Turned in on time; math correct; work showed the way Mrs. K demonstrated; neat |
Cutting & Tracing Layers | Work is late, messy, and layers are the wrong size | Work might be late, or cutting is messy; Layers off by a centimeter or more | Work might be late or cutting might be a little jagged; size of the layers a little off | Work might be late; cutting might be a little jagged; layers correct size | Cutting neat and even; Turned in on time; Layers are the correct size |
Painting & Labels | Messy; layers hard to distinguish; lack of effort; labels in wrong place or messy & missing size | Can have three or four of the following errors: Labels either messy, misplaced, and/or missing model size; painting a little messing or difficult to distinguish between layers; lack of effort | Can have two or three of the following errors: Labels either messy, misplaced, and/or missing model size; painting a little messing or difficult to distinguish between layers; some lack of effort | Painting fairly neat; labels might be missing model size; labels in the right place | Labels for each layer neat & have model size; labels on correct layer; painting neat: doesn’t go into other layers; boundary between layers clear |
Stand & Data Table | Messy; unstable; missing data table | Can have two of the following errors: a unstable; messy table missing three or four item; some items incorrect on table | Can have two of the following errors: a unstable; table missing one or two item; one or two items incorrect on table | Can have one of the following errors: a little unstable; table missing one item | Supports model well; looks neat, can see effort was put into it; has neat table with layer, actual size, scale size, title, & group names |