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Th
4/1/04
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HW due:
Read §11.7 (reading notes required). Revisit §11.6 #19 and make sure that
your §11.5 HW is in final form, ready for possible collection.
Reminder: Working together on HW is permitted. However, outright copying is
an honor code offense and will be treated as such. Also, your time log is a
statement of honor and cannot be falsified. I have not had trouble with any
geometry students this year, but problems have recently surfaced in another
class.
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F
4/2/04
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HW due:
Read §11.8 (very brief); write §11.7 #9, 10, 15, 20.
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M
4/5/04
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HW due:
Write §11.8 #2, 3, 4, 6, 7.
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T
4/6/04
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HW due:
Work on getting fully caught up on all previous HW, plus at least one or two
review problems from Chapter 11 (35 minutes total). If you have already
done/re-done all your HW problems in Chapter 11, then work 35 minutes’ worth
of review problems at the end of the chapter.
In class: Chapter 11 review day.
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W
4/7/04
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Test on Chapter 11.
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Th
4/8/04
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Quiz (25 pts.) to supplement the too-hard test.
HW due: Read §12.1 (reading notes
required, as usual), and complete the bonus problem from yesterday’s test.
The problem was as follows: For 3 mutually tangent circles having radius 5
cm, surrounded by a large circle that is externally tangent to all of the
small circles, compute the area within the large circle that is not occupied
by the smaller circles. You may discuss this problem with anyone, including
those who have not taken the test yet. However, no direct copying of homework
is permitted. Direct copying (or, for that matter, paraphrasing or rewriting
slightly where you do not bring your own thoughts to the problem but merely
parrot somebody else’s work) will be construed as an honor code violation and
will be treated accordingly.
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F
4/9/04
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HW due:
Read §12.2; write §12.1 #5, 7, 8, plus §12.2 #1, 2, 3, 7, 13.
Note: B period will have a
one-question (4 pt.) re-do of the question that was mistakenly written on the
board yesterday. The topic area covered may or may not be the same as the one
that was used in that question.
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M
4/12/04
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HW due:
Read §12.3; write §12.3 #1-13 odd, plus #4.
Correction: In round numbers, the
correct land area of the U.S. (all 50 states) is slightly over 3.5 million
square miles, and the student in “A” period who guessed 4 million should be entitled
to a bonus point. Sorry for saying that guess was too high! It was quite
close. That means that the U.S. has a little less than 2% of the earth’s TSA,
or about 6% of the earth’s land area.
I was correct when I said that the
earth’s TSA, both land and water, is approximately 200 million square miles.
(The exact figure is slightly smaller, but 200 million is close enough for
estimation.) We estimated this by the formula
TSAearth = 4pr2
» 4p(4000 mi.)2
» 4 · 3 · 16 million mi.2
» 10 · 16 million mi.2,
which we rounded up to 200 million sq. mi. to account for the two gross
underestimates in the approximation.
Bonus challenge problem: Show work, and estimate the side length s of a square that each person on our
planet would have if the earth’s land area were divided into congruent
squares, one for each person.
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T
4/13/04
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HW due:
Read §12.4; write §12.4 #4-12 all, 16.
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W
4/14/04
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Quiz on §§12.1–12.5. The quiz will be similar in spirit to the activity
problem we worked yesterday.
HW due: Read §12.6; write §12.5
#1-9 odd, 6, 10. Reading §12.5 (including Theorem 121) is optional; if you
know your similar triangle facts and area/volume ratio facts, the theorem is
of little use.
Summary of §§12.4 and 12.5:
Vany cylinder or prism, even
if the bases are 2 congruent gloppy shapes = ßh
Vany cone or pyramid, even if
the base is a gloppy shape = ßh/3
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Th
4/15/04
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No additional HW due.
However, a scan covering old HW assignments (even from earlier in the
quarter) is possible. Also, be sure that you thoroughly understand the solutions to yesterday’s quiz.
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F
4/16/04
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Period A:
Meet at McDonald’s on Wisconsin Ave. at 7:45 a.m. (If you prefer not to
participate, then you need to sign the sheet on the door of Room S to prove
that you came to class, but then you can have a free period.) Meanwhile, back
at Ronald McDonaldland, or in the parking lot if necessary, we will have a colossal Jeopardy Bingo competition in which the winner will take home his choice of a
Tandy Model 100 or 102 laptop computer (to keep!). The runner-up will receive
the use of the other computer until Prize Day. Games and a huge library of
other software are available on the Web for
these machines, and I can show you how to download files with a serial cable.
Please bring $1.00 if you wish to compete for the computer. (You can compete
for other prizes without contributing any money.)
Period B: No class (Diversity
Day). You are also welcome to join us at McDonald’s at 7:45 a.m. When the
competition ends at approximately 8:20, we will walk back to campus in order
to arrive in time for the start of Diversity Day at 8:45 in Trapier Theater.
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before
school
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MARCH MADNESS APRIL ABSURDITY CONTINUES
Monday morning, Patrick and
Marshall will battle it out in Room S to conclude the championship round.
Marshall is leading 2–0, but if Patrick scores 3 bingos before Marshall gets
one, Patrick would still eke out a victory.
Patrick and Marshall were seeded 1 and 2 after the preliminary Jeopardy Bingo
competition at McDonald’s on Friday. Nico, Sasha, Michael M., and Chet also
earned tournament berths and are entitled to a prize.
In the quarterfinal round, Nico defeated Sasha and Michael defeated Chet to
advance. However, in the semifinals, the first and second seeds fended off
their competition, with first seed Patrick defeating Michael M. and second
seed Marshall defeating Nico.
Folks, Patrick and Marshall are two tough competitors, and remember—both will
walk away carrying an antique computer. (Of course, one of them will have to
return his on Prize Day.)
Spectators are welcome to arrive at 7:50 a.m. Patrick will have his own
cheering section of “A period” regulars, but Marshall seems to have the edge
going in.
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M
4/19/04
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HW due:
§12.6 #2, 3, 5, 6, 8, 11, and estimate the mass of the earth in grams,
kilograms, or metric tons, whichever you prefer. Show your work. Hint: Water has a density of 1 g/cm3,
and the earth (on average) is about 5.5 times denser than water.
If you did poorly on last Wednesday’s quiz,
I will expect to see clean rework in your notes as well.
Bonus challenge question: What is the densest planet in our solar system?
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T
4/20/04
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HW due:
pp. 594-597 #1, 2, 4, 5, 6, 9, 11, 13, 17, 20, 21, 22.
After you have worked the problems, check the answer key. If you were stuck on
any of the last four problems, also look at the solution key to #17 and 20-22.
Honor system! Don’t follow these links until you have made a solid effort on
the problems. The only way you can prepare well for your test is to challenge
yourself.
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W 4/21/04
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HW due:
Read §13.1 (review of Algebra I); write §13.1 #1, 4, 8, 9, 12.
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Th
4/22/04
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Test on Chapter 12,
Portion 1 (50 points). You will
be permitted to use one index card of notes and/or formulas. Maximum size: 5 inches
by 7 inches. If you have no index cards, you may cut a piece of notebook
paper to size. Oversized notes will be truncated.
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F
4/23/04
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Test on
Chapter 12, Portion 2 (50 points).
Same rules as yesterday. The higher of the two 50-point tests will be doubled
in order to compute your score.
Both tests have now been released on the Web, and you are free to discuss
them with anyone.
Answer key for Portion 1: ASN AAA DEDBD
Answer key for Portion 2:
1. Vsun » 4/3 · pr3 » 4r3
» 4(˝ million)3
= 4 (1/8) (1 million)3 = ˝ million million million
or 500 quadrillion cubic units. Note that the estimate is the same for
mi3 or km3. If you had used a calculator, your answers
would be approximately 270 quadrillion mi3 or 1.2 quintillion km3.
These answers demonstrate that the 500 quadrillion estimate is quite
inaccurate, with an error of a factor of about 2 in one direction or the
other. However, an error by a factor of 2 is not too bad for a rough
estimate. At least it’s not off by an order of magnitude!
2. Vearth : Vsun = (rearth : rsun)3 » (1/100)3 = 1/1,000,000 = 1
millionth
3. Since
small cone has 1/8 the volume and 1/4 the area of the large cone,
V = (7/8)Vlarge cone = (7/8)(1/3)pR2H = (7/24)p(62)(8) = 84p cm3
TSA = (3/4)TSAlarge cone + pR2 + pr2 =
(3/4)pRL + p(62) + p(32) = (3/4)p(6)(10) + 45p = 90p cm2
4. Since
h = 6" by use of 6-8-10 rt. D,
Vcylinder = pr2h = p(42)(6) = 96p in3
TSAcylinder = 2prh + 2pr2 = 2pr(h + r) = 2p(4)(6 + 4) = 80p in2
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Sat
4/24/04
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Good news! Necroman has
been repaired. Through an amazing bit of good luck, I found a source on the
Internet that sold me a spare laser for $10, and after a bit of fiddling and experimentation
I managed to install the new laser myself. (The manufacturer wanted $160 for
the part and insisted that I needed to pay approximately $140 for labor.
Needless to say, there was no way I was going to pay $300 for the repair.
Necroman would have been forced to spend the rest of his life as a laser-less
PDA.)
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M
4/26/04
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No school (FBK Day).
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T
4/27/04
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HW due:
Read §13.2 (more review of Algebra I); write §13.2 #1-9 all, 14.
In class: Necroman’s triumphant return. (See 4/24 calendar entry.)
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W
4/28/04
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HW due:
Read §13.3 (review of substitution and linear combinations); write §13.3 #1-7
all, 10, 13.
B period had an unscheduled quiz today.
The solution key may be helpful for
everyone, including A period students preparing for tomorrow’s quiz.
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Th
4/29/04
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Quiz on §§13.1–13.3. Quiz is optional for B period
students (see below).
No additional HW is due. However, your §13.3 problems and any earlier
sections may be scanned for completeness, since we have gone over the
problems in class. If you missed one or more problems, you need to put
corrections in the margin. You are responsible for obtaining notes from a
classmate if necessary to satisfy this requirement.
B period will not meet today because of the confirmation service. If anyone
from B period wishes to take a bonus redo of yesterday’s quiz, there will be
a quiz offered in Room S at 7:45 a.m. today (Thursday) and again after
chapel. If you do well on the bonus redo, I will adjust yesterday’s quiz
score.
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F
4/30/04
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HW due:
Read §13.4; write §13.4 #2.
After we go over the HW and briefly discuss the quiz and §13.4, we will build
a scale model of the solar system outdoors. Then, if there is any time
remaining, we will play a round of Geometry Jeopardy Bingo.
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