MATH 3309 Section
33445 / 32081
Summer I & II, 2009
Instructor: Jorge Viramontes
E-mail: jviramon@utep.edu
Office: EDUC BLDG 211-F
Ph: (915) 747-6524
WebSite: http://www.math.utep.edu/jviram/
Course Information
Class meetings: LART
308 From 2:000pm to 4:10pm M-F Summer I /
Office hours: http://www.math.utep.edu/jviram/
Course Packet: Reasoning About Shapes and Measurement Part
3
Course Description
MATH 3309 (Conceptual Mathematics
from Multiple Perspectives II) is a
problem-oriented course focusing on shapes and measurement with an emphasis on
reasoning and justification. The main
goals of this course are:
(a) being
precise with definitions, terms, and notations,
(b) organizing
relationships and information,
(c) solving problems by visualizing and manipulating mental
images
(d) making conjectures, and then proofing or disproving to enhance geometric
reasoning.
During
class, challenging problems will be posted. You must try to solve these
problems before working as a team. You
are expected to encounter obstacles in your attempts to solve some of these
problems. It is by overcoming these
obstacles that learning occurs. Your
learning becomes explicit when you communicate your reasoning to your
classmates. However, if you are not able
to solve the problem, you must at least identify the difficulties you face
prior to listening to someone else’s solution.
This way, you will appreciate the reasoning behind their solution. Try
to understand the definitions and propositions.
You are required to bring the following
material into each class: Scissors, a ruler, scotch tape, protractor, stapler,
some white paper, and crayons.
Grading Scheme:
Quizzes/Homerwork, Team work. Unannounced
quizzes can be given at any time during the class. No make-up for quizzes or any other missing assignment
is allowed. Quizzes/Homework and Team work are 35% of your final grade.
Exams. Three exams are given (each one is 15% of
your final grade). There are no makeup exams.
Final Exam. The
comprehensive final exam will be given on July 3rd from 4:00pm to
6:45pm for Summer I, and August 3rd from 10:00am to 12:45pm for
Summer II. The final exam is 20% of your final grade.
Last
Day to Drop with an automatic “W” Grade: Jun 10, 2009 for Summer I and July 8,
2009 for Summer II.
Class Policies
1.
Your discussion
should be about mathematics and nothing else.
There should virtually be no non-mathematics related disruption during
class time. Come to class prepared.
2.
Attendance will
be taken. If you accumulate 3 or more absences in this period you will receive
an "F"
3.
You are expected
to put in on average two hours of study time for every hour of class time.
4.
There will be no
make-up assignments.
5.
Late work will
not be accepted. Illegible work will not
be graded. You are advised to type your
work if it takes you more time to write legibly and neatly.
1.
Electronic and
Wireless Devices: Please do not use cell
phones, pagers, IPods, MP3 players, blue tooth devices, etc. during class. Cell phones and pagers should be set to silent. Please do not wear headsets or blue tooth
devices during class. Cell phone can not
be used as a calculator on quizzes or exams.
2.
Cheating/Plagiarism:
Cheating is unethical and not acceptable. Do not submit work under your name
that you did not do yourself. You may not submit work for this class that you
did for another class. If you are found to be cheating or plagiarizing, you
will be subject to disciplinary action, per UTEP catalog policy. Refer to http://www.utep.edu/dos/acadintg.htm
for further information.
3. Homework. The homework due date is either at the end of the class or at the beginning of the following class, you must include all sections fully covered during the previous week of classes. Include a cover sheet (course name, your name, sections you are covering, and date). Every new section must start in a new sheet, you don’t need to include the statement of the problem, just the steps and the solution (bubble it). Write using only one side of every sheet and stapled the papers together.
Target Knowledge and
Skills
1.
Shapes
a.
Know the meanings
and definitions of geometric terms (e.g., prism, tetrahedron, kite, polygonal
region, chord, inscribed angle, bisector, isometry)
b.
Identify common 2-D
and 3-D shapes and list their basic characteristics and properties
c.
Relate 3-D
figures and their 2-D representations (nets, projections)
d.
Make conjectures
about geometric shapes and then prove or disprove them (e.g., Euler’s formula
for polyhedra, sum of angles of polygon formula)
e.
Identify all the
reflection symmetries and rotational symmetries of a given 2D or 3D figure
f.
Determine whether
a given shape can or cannot tessellate a plane
g.
Demonstrate how
similar figures result from a dilation, and the role of proportional
relationships in determining similarity
h.
List the criteria
for two figures to be similar
i.
State the
relationships between lengths and perimeters, areas, and/or volumes of two
similar figures
j.
Make geometric
constructions using compass and straightedge
k.
Demonstrate how
rigid motions result in congruent figures
l.
Differentiate
among different types of isometries, and state and apply key facts of each
type.
2.
Measurement
a.
Understand the
common forms of measurement, and choose appropriate tools and units for
measuring
b.
Recognize the
inverse relationship between the numerical part of the measurement and the
unit-size
c.
Convert among
units of measurement
d.
Use the
relationship between the areas, or volumes, of two similar shapes
e.
Understand,
derive, and use circumference, area, and volume formulas
f. State the Pythagorean theorem
and use it to solve problems involving length, area, and volumes.