Math 3305Chapter 1 Activities BBeem text’14
Please print this handout FULL SIZE. Hold on to the first 3 pages. Make the cube and save the sugar cube page for turn in next class. Staple the cover sheet and activities together.
The seating group criteria will be alphabetical
A – F
G – J
K – N
M – Z
Supplies to bring:
Scissors and tape
Ball and rubber bands
20 sugar cubes
One orange
One foot of twine (non-stretchy, not yarn)
One plastic bag to hold the orange
Several baby wipes or cleaning towels
2 pieces of blank paper
See below 2 pages down. Following instructions matters and gives you points.
Regular Polyhedron:1.4 page 23
Build this model at home BEFORE class; bring it with you.
A polyhedron is regular if, given any first vertex and face at that vertex along with any second vertex and face at that second vertex, there is a rotation, taking the polyhedron onto itself and taking the first face at the first vertex to the second face at the second vertex.
Let’s try this with a cube:
Two Holes1.4 pages 25 - 27
Name
Due as class starts NEXT time, not this time.
Count the number of faces, vertices, and edges for sugar cubes arranged with two holes.
What is the Euler Number for two holes?
This page is repeated at the beginning of the Chapter 2 Activities
Chapter 1 Activities B
NAME:
The rest of this handout is for turn in. STAPLE the following the following pages to this coversheet before you come to class. Fill them in during class. Turn it in at the end of the class.
Points allocation:
Stapled, full size3 points
Cube made4 points
Supplies4 points
Regular P essay4 points
Spherical G3 points
Oranges and Formulas6 points
Regular Polyhedra
A polyhedron is regular if, given any first vertex and face at that vertex along with any second vertex and face at that second vertex, there is a rotation, taking the polyhedron onto itself and taking the first face at the first vertex to the second face at the second vertex.
Use your cube to illustrate this.
Write a brief paragraph about the value of manipulatives:
Spherical Geometry
Great circle:a line in the geometry. Intersecting plane contains the origin.
Why does a great circle make a good choice for a line if you’re working on a sphere?
What are the points of the geometry? What is the equation for the unit sphere?
Where are the circles in Spherical Geometry? How are they different from lines.
Summarize the orange experiment! Why did we do it and what did we learn?
Will you be able to remember the formula for surface area?
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