Assignments for MATH 3262
Fall 2005
|
Date
Assigned |
Assignment |
|
Tues, Aug 23 |
Write your mathography. Due Thursday, Aug 25. |
|
Thurs, Aug 25 |
Complete the two tutorials
for GSP by Tuesday. Practice compass and straightedge
constructions. You will need to
buy a compass and straightedge—please let me know if you need help with these
constructions. You should be
proficient with these constructions no later than next Thursday. |
|
Tues, Aug 30 |
Investigate the following Intermath Problem.
Bring two copies of the investigation to class on Thursday. Reaction
paper for Sept 8: Read
the geometry standards for Grades 6-8 in NCTM’s Principles and Standards for School
Mathematics (PSSM). These
standards can be found in Chapter 6 of PSSM.
You can sign up for a free 90-day access to PSSM at http://my.nctm.org/eresources/members/login.asp. In no
more than 2 pages (typed, double-spaces, 12 pt font) write your reaction to
these standards. Your reaction paper
will consist of two parts: §
First in a brief paragraph and using your own words, summarize the
big ideas that are evident to you. §
Secondly, because the Georgia Performance Standards have been developed
with the NCTM standards as a guide, what do these standards mean for you as a
future teacher? What are your concerns
as you prepare to teach according to these standards? What areas do you see yourself needing
work? In what areas do you feel strong? Is there information given that you do not
understand—if so, what? (Please use
these questions merely as a guide as you write your reaction.) I will
use the rubric for grading reaction papers to evaluate your paper—please see
the syllabus for this rubric. |
|
Thurs, Sept 1 |
Review the vocabulary we
discussed in class tonight. Investigate the following Intermath Problem.
Bring two copies of your investigation to class on Tuesday. Quadrilaterals
Inscribed Inside Quadrilaterals (GSP would especially be useful for
this investigation. You can write your
conjectures in a text box. Save your
investigation to a disk but also print out two hard copies for class.) The Compass and Straightedge Constructions
are due Thursday, Sept 8. Your
journal of open-ended reflections is due Tuesday. I put a
link at the top of the syllabus called “Useful Tools” that has the Alpha
Shapes template, etc. |
|
Tues, Sept 6 |
The Compass and Straightedge Constructions
are due Thursday, Sept 8. The reaction
paper on the NCTM Geometry standards will not be due until Tuesday, Sept
13. Be sure you see my email about
accessing the document if you are having trouble. |
|
Thurs, Sept 8 |
The reaction
paper on the NCTM Geometry standards is due Tuesday, Sept 13. Write up Quadrilaterals
Inscribed Inside Quadrilaterals using the write-up template on the Intermath website.
Use the suggestions I made on the work I returned to you today. This will be due Thursday, Sept 15. |
|
Tues, Sept 13 |
Review
the terminology discussed in class today.
Work the Cross-sections problems on handout. Be sure to give the name of the 3-D solid
as well as draw a picture of the cross-section. The Quadrilaterals
Inscribed Inside Quadrilaterals write up is due Thursday. |
|
Thurs, Sept 15 |
Discovering
Angle Relationships Discovering
Properties of Parallel Lines |
|
Tues, Sept 20 |
Investigate
the following problems from the Intermath
site. Be prepared to discuss your
findings in class. Do the
problem: How Many Rays? |
|
Thurs, Sept 22 |
We did
not talk about the following investigations so please revisit them if
necessary—we will discuss Tuesday. Investigate
the following problems from the Intermath
site. Be prepared to discuss your
findings in class. Read
the handout Polygons and Angles
from the Connected Mathematics Project.
(This was given out in class.)
Be sure you understand the three ways an angle is considered. GSP would be a useful tool to explore the following
problems. Please write your
conjectures for each exploration. §
The segment connecting the midpoints of two sides of a
triangle is called a midsegment of the triangle. What conjectures can you make about the midsegment of a triangle? §
The line segment connecting the midpoints of the two
non-parallel sides of a trapezoid is called the midsegment of the trapezoid. What
conjectures can you make about the midsegment of a
trapezoid? (To explore with GSP you
must first construct a trapezoid by constructing two lines that are parallel
to each other.) |
|
Tues, Sept 27 |
Investigate
the following Intermath problem. Write a
reaction paper to the article “The
Role of Definition.” Paper is due
Tuesday, October 4. Your paper should
be 1-2 pages in length. Please include
a 1-2 paragraph summary of the article and then your reaction to the
article. To evaluate your writing, I
will use the Rubric for Reaction Papers (please see syllabus). Test 1
will be Thursday, October 6. |
|
Thurs, Sept 29 |
Investigate
the following Intermath problems. You should write up one of these problems. Investigate
these two problems for homework. |
|
Tues, Oct 4 |
Determine
which of the pentominoes (if cut out) will fold
into a box without a top. Do not cut
the pentominoes out—just visualize which would fold
into a box. Test—Thursday,
Oct 6 |
|
Thurs, Oct 6 |
Continue
Intermath investigations. Revisit the first problem on homework. |
|
Tues, Oct 11 |
You are
given a Post Test Opportunity to
earn 1/3 of the points lost on the first test. Please follow the directions given—observe that
not only are corrections required but also an explanation of why you missed
the problem. The post test opportunity
is due Tuesday, Oct 18. Complete
the pentominoes investigation given out in class. Work on
the Exploring Quadrilaterals
investigation—this should be posted to your Class Docs folder by Tuesday,
Oct. 18. |
|
Thurs, Oct 13 |
Review
the definition of exterior angle of a polygon. Investigate the problem Sum
of Exterior Angles. Mark
asked about an exterior angle in a concave polygon—specifically at the vertex
of the polygon where the interior angle is a reflex angle. What do you think? Work on
problems a and b in Part 2 of the Tessellations handout from class—the
questions are: a. Can any triangle be
used to make a tessellation? To investigate
this problem, you will need to make multiple copies of a triangle (in other
words, the triangles must be congruent).
Then see if this triangle can be used to make a tessellation. Then investigate for a different
triangle—make multiple copies of this triangle and see if it can be used to
make a tessellation. b. Can any quadrilateral
be used to make a tessellation? Again, make
multiple copies of a quadrilateral and see if it can be used to make a
tessellation. Explore for various
sizes and kinds of quadrilaterals. (These
two questions are given on an Intermath investigation
called Tessellation
Restrictions.) Bring
your copies of triangles and quadrilaterals to class Tuesday. Please
note that I misspelled “tessellation” on the board—it should have two s’s and two l’s!! I am
giving you the link to the article I mentioned in class Tuesday. “From Tesselations to Polyhedra: Big Polyhedra.” This article is for your file—you are not
writing a reaction paper to this article. Journals
are due Tuesday. |
|
Tues, Oct 18 |
Investigate
the problem Symmetry
Lines II for class Tuesday.
You do not have to do a formal write-up. Write-ups
for the following four investigations should be in your Class Docs folder. Quadrilaterals
Inscribed Inside Quadrilaterals One of
the following Intermath investigations. |
|
Thurs, Oct 20 |
NO
CLASS |
|
Tues, Oct 25 |
Due
Tuesday: Write a paragraph/paper
describing the perfect solids (also called Platonic solids or regular polyhedra). In
your paper, you should give the defining characteristics of a perfect
solid. You should also explain why the
5 perfect solids we found are the only ones possible—be sure your explanation
offers sound mathematical justification. Please
work on getting your webpage functional.
If you have trouble, Drew will come back Thursday—so you need to let
me know Tuesday if you are having trouble. A good
website to reinforce the information on polyhedra
is Exploring
Geometric Solids and Their Properties: Unit Overview. The website refers to “vertices” as
“corners.” |
|
Tues, Nov 1 |
Write up this one: SAM Write
up one of these: |
|
Thurs, Nov 3 |
Complete
the areas of geoboard shapes—handout from class. Do
“Moving Areas by Moving and Combining” questions 1-4. Work on
these problems for discussion: Be
prepared to discuss the first three problems Tuesday. Write
up one of these: |
|
Tues, Nov 8 |
Complete
problems 5-7 on handout (this is really the third page of the handout
entitled “Moving Areas by Moving and Combining”). We did
not discuss Triangle
Inside a Rectangle so please be prepared to
discuss this Thursday. You
should be prepared to discuss the following problems: |
|
Thurs, Nov 10 |
You
should be prepared to discuss the following problems: Read
the essay, The
van Hiele Framework. Then read the article, Perimeter and Area
through the van Hiele Model. Write a 1-2 page paper in
which you include: 1) a
description of your understanding of the van Hiele
framework or model; 2) your reaction to the ideas presented in the article, Perimeter and Area through the van Hiele Model. The Paper
is due Tuesday, November 22. To
evaluate your writing, I will use the Rubric for Reaction Papers (please see
syllabus). |
|
Tues, Nov 15 |
Find
several ways to determine the area of the trapezoid given to you in class,
using no formulas other than those for the area of a rectangle, triangle,
and/or parallelogram. Create
a triangle that has the same shape as the one assigned to you in class. Revisit
The
Bicycle Problem |
|
Tues, Nov 22 |
Directions
for the Final Reflective
Portfolio The
following 3 Intermath Investigations should be
written up: Circle
Inscribed in a Semicircle Your
choice of an Intermath investigation that has not
been assigned. Choose from the list of
geometry investigations (either a recommended or additional investigation is
OK). The
homepage for Intermath is at this address http://www.intermath-uga.gatech.edu/ |
|
Tues, Nov 29 |
Find
the area of the circle—do not use a formula. This is a useful website for graph paper—add it to your favorites list! |
|
Thurs, Dec 8 |
Here is
the website for the Ferris
Wheel at Navy Pier. http://www.navypier.com/SubLink.cfm?Main_ID=15&Sub_ID=3 |