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100 Point Project
Project Submission Sheet due:________________________
Actual project due:________________________
If you change your project after you already turned in your project submission sheet, then
you will receive a zero on the project!
No late project will be accepted regardless of excuse! If you are sick, then have your parent
or friend deliver it before the start of your period. If you know you will be absent, then
turn it in early.
You may choose one the following projects:
Research a profession and the math involved . Do a 2-3 page typed report AND get a speaker to come in to
talk to the class about that profession and the math involved. (Individual)
Plan and facilitate an activity for one class period (in other words, be teacher for a day): geometry and prechecked with me. (1-2 people)
Design a geometry web page for us to access and use. Do not make a website of just theorems and definitions!
(1-2 people)
Create a 10 minute movie on a geometry topic/area of interest. The movie must be rewindable and burned
onto a DVD. (2-4 people)
Investigate anything to do with geometry, give a 10 minute oral presentation to the class, incorporating visual
aids and an activity for the class to part in AND turn in a report. (1-2 people)
Read a book related to geometry, write a book report and submit it to turnitin.com, and give a 10 minute oral
presentation to the class. (Introduction: 30 seconds, summary of the book: 3 minutes, geometry/math
content: 3 minutes, what you liked/disliked about the book: 3 minutes, conclusion: 30 seconds) Don’t forget
visual aids during your oral presentation! (Individual)
Similarity project (1-2 people)
Build a geometric city. (2-4 people)
Pascal’s Triangle project. (1-2 people)
Math geek and creative writing project. (Individual)
Paperfolding project: requires a TI 83 or 84 graphing calculator. (1-2 people)
Popocorn project: requires a TI 83 or 84 graphing calculator. (1-2 people)
Geometer’s Sketchpad investigation (both parts) and report. (1-2 people)
Lenart Sphere investigations and report (1-2 people)
Anything else interest you? See me and let’s talk.
Project Submission Sheet
Today’s date__________________________
Name(s)
_______________________________
______________________________
_______________________________
______________________________
Proposed project/topic:
Comments/what you need from the teacher:
Similarity Project
You will use the concept of similarity to ENLARGE a normally hand-held sized object. You
may choose the enlargement scale you use, but the scale must enlarge the object to
approximately human size (at least 130 cm). On separate sheets of paper, complete a report
including the following details:
1)
2)
3)
4)
5)
6)
7)
The object which you chose to enlarge
The scale you chose for the enlargement
Detailed sketches of the object (with at least 2 different faces)
Use the sketches to label the original dimensions (use cm rather than inches or feet)
The mathematics used to determine the new dimensions (labeled and easy to follow)
A photo of you with the original object and the enlarged object
Bring in the actual original object and the enlarged object (I must be able to keep the
original object for 2 weeks to measure and compare.)
It is up to you to “build” the enlarged object, and then bring the completed project to class (ON
or before the due date). The more creative the better (Do NOT pick objects previously enlarged
by students in past years). Effort and quality must be apparent.
WANT TO READ A BOOK RELATED BY MATHEMATICS FOR YOUR PROJECT?
HERE ARE A FEW SUGGESTIONS…
Books by Ian Stewart
Flatterland
Nature’s Numbers
Does God Play Dice?
Another Fine Math You’ve Got Me Into
Books by Isaac Asimov
Realm of Algebra
Realm of Measure
Realm of Numbers
How Did We Find Out About Numbers?
Robot Dreams
Other Titles and Authors
Pyramid by Tom Martin
The Fractal Murders by Mark Cohen
One, Two, Three, Infinity by George Gamow
Bell Curve by Richard Herrnstein and Charles Murray
Spaceland by Rudy Rucker
Flatland by Edwin Abbott
The Planiverse by AK Dewdney
After Math by Mariam Webster
The Man Who Loved Only Numbers by Paul Hoffman
Math Magic by Scott Flansburg
The Story of  1 : An Imaginary Tale by Paul J Nahin
The Da Vinci Code by Dan Brown
Gulliver’s Travels by Johnathan Swift
Spin by Robert Charles Wilson
Napoleon’s Pyramids by William Dietrich
Nemesis by Bill Napier
Temple by Matthew Reilly
Gospel Truths by J.G. Sandom
Other Authors to Look Into:
Marilyn Burns
Michael Crichton
Your own choice of an author?!
Titles in bold print are books that have been recommended by past students who have read them
and enjoyed them.
You will read the book you have chosen and have been approved by your teacher, write a book report,
and give a 10 minute oral presentation to the class. Be sure to use visual aids. The 10 minutes should
include: 30 second introduction, 3 minute summary, 3 minutes about the geometry/math content, 3
minutes of what you liked/disliked about the book, 30 second conclusion.
Geometric City Project
Build a geometric city of your own! (Up to 4 people may work together). See me for pictures
and sample blueprints from previous years.
Project description
You are to design and build an entire town on a board no smaller than a poster board. Each
person in the group must build their own building, and the group must design and build 4 more
buildings for a minimum total of 7-8 buildings. All the geometric solids must be represented by
your buildings (cone, cylinder, sphere, different types of pyramids and prisms, etc). In other
words, do not keep designing cylinder buildings all over the place! Each building must have an
“appropriate” name based on the person who designed it and the type of solid it represents (for
example: Haley’s Hex Hotel is a hexagonal pyramid built by Haley). These appropriate names
should be on the actual city, as well as in the blueprint.
The streets and landscaping must include every type of polygon and circle we have studied
(circle or sectors, triangle, rhombus, kite, convex, concave, regular polygons, etc). Similar
polygons must be represented in the city and noted in the blueprint. Landscaping does not
include buildings!
Blueprint and what must be shown on it
You must have an overall bird’s eye view blueprint of the town which is drawn to scale and
properly labeled. Don’t forget to indicate the scale factor. Besides the large blueprint, there
should be other pages where each geometric figure has its measurements labeled and total
surface area and volume calculated. (Surface area is only what the air can touch!) All radii,
apothems, heights, slant heights, sectors, and angles must be labeled.
Also include the measures of the angles, both interior and exterior, for at least 2 the polygons in
the landscaping.
You must show both the degree measure and arc length in your designs, and label each
accordingly.
USE METRIC MEASUREMENTS FOR THIS PROJECT (this means cm, not inches!)
The town will be worth 50 points and the blueprint will be worth 50 points.
Math Geek and Creative Writing Project
Create “The Adventures of Geometry Geek” AND write a creative fictional story with
geometrical terms involved. See descriptions attached and the sample story. Be original! Do
not use any adventure, scenario, or story you have seen.
Part one: Math Geek
“The Adventures of Math Geek” is an adventure you have personally experienced and for which
you have photos. These photos will be pasted to a poster board (or two or three). Then a
narration of the adventure and a mathematical situation will accompany each photo. You will
solve each scenario using geometry on the back of the poster.
For instance, Math Geek recently attended a wedding where s/he took many pictures: the
wedding cake, the bride and her family, the groom and his family, the bride tossing the bouquet
to the single women waiting to catch it, etc. From these pasted pictures, “The Adventures of
Math Geek at a wedding” was created. Math Geek pasted these pictures to a poster board and
then wrote a story and math problem to accompany each (as well as the solution showing all the
steps on the back of the poster). For the wedding cake photo (the cake was 3 square tiers), Math
Geek wrote:
Math Geek is hungry and started hanging around the dessert table. Upon spotting the wedding
cake, Math Geek began to wonder just how much cake was there…The top square had a side
length of 4 inches, the middle tier had a side length of 6 inches, and the bottom tier had a side
length of 10 inches. Each tier had a height of 4 inches. What is the volume of this cake?
For the tossing of the bouquet, Math Geek wrote:
Lisa is about to toss her bouquet to all the single women waiting. If the bouquet travels at 2 feet
per second and the pack of women is 7 feet away, how long will it take the bouquet to reach
them? Also, if Elanita is in the middle of the pack, what is the probability she will catch the
bouquet? (You have to look at the photo and number of women for the last part of the question).
You will be graded on creativity, the quality of the mathematical situations Math Geek
encounters and your written solutions for each, neatness, apparent effort, etc. The adventure
should be given a title. The more creative the narration the better your grade will be. Don’t
reuse anything you see here or on my walls.
Part two: Creative fictional story
You are to write a fictional story that involves every possible geometrical term we have
encountered this past year, the more terms the better. Bold and number each geometric term.
You will be graded on creativity, effort, grammar, the attempt to include as many terms as
possible, etc.