For more information on my personal goals as a teacher, see:
http://members.xoom.com/Urner/working6.html
For more on the Silicon Forest Math Makeover, see:
http://www.teleport.com/~pdx4d/makeover0.html and/or see my
article in the March 1999 issue of FoxPro Advisor starting
on pg. 48 (FoxPro Advisor is a computer trade journal).
==============================
An Introduction to Design Science
(Math Dept Elective)
Oregon Curriculum Network
http://www.inetarena.com/~pdx4d/ocn/
Grade levels: 9-16
Calculators permitted
Questions randomly pulled from a growing Q&A database:
1. Cannon balls at a war memorial are stacked in a tetrahedron
with 5 balls to an edge (Fig. 2). How many balls total in this
arrangement?
(a) 48
(b) 45
(c) 35
(d) 55
2. A typical Fly's Eye Dome is preconfigured with three hosts,
with one host serving as a gateway to the network (i.e. this
host has two network adapters installed). What service or
protocol allows this multi-homed system to serve as a router?
(a) DNS
(c) ARP
(d) RIP
(d) DHCP
3. How many half-couplers in a rhombic dodecahedron?
(a) 12
(b) 6
(c) 36
(d) none of the above
4. Susan needs a wire a community of 12 Fly's Eye Domes, one
Admin Dome and one Food Services Dome. Each of the flies will
connect to admin via router as a subnet of 3 hosts (i.e. default
configuration; one host is also the gateway). The admin and
food domes comprise subnets of up to 6 hosts apiece and are
likewise interconnected by router, with one admin host serving
as the gateway to the internet (see Fig. 1). What subnet mask
will best serve this Class C organization?
(a) 255.255.255.224
(b) 255.255.255.240
(c) 255.255.0.0
(d) 255.255.255.248
5. Which of the below has five-fold symmetry?
(a) coupler
(b) MITE
(c) T module
(d) none of the above
6. An omni-triangulated polyhedron has 200 vertices. How
many faces does it have?
(a) 1024
(b) 396
(c) 594
(d) not enough information
7. How many edges?
(a) 594
(b) 1024
(c) 396
(d) not enough information
8. Lakila is writing a Java bean to control polarizable windows.
This bean listens to a local clock via some configurable
clockaddress property. What attribute of beans will allow this
property to be permanently encoded, even after this bean is
configured?
(a) serialization
(b) introspection
(c) remote access
(d) periodicity
9. How many hubs (vertices) in a 5-frequency geodesic spheres?
(a) 242
(b) 302
(c) 252
(d) not enough information
Answers:
1. (c)
2. (d)
3. (a)
4. (d)
5. (d)
6. (b)
7. (a)
8. (a)
9. (c)
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