Download Year-long Project (100pts) due May

Year-long Project (100pts) due on or before May 25, 2012
Option A – 100 Photos
Take photos of Geometry that you see outside the classroom. Each photo will be accompanied by a
caption. See attached list for items to photograph. You must photograph at least 50 separate items on
the list (2nd page).
A photo may have as many as 5 captions. This counts as 5 photos. For example, a block wall shows:
(1) parallel lines, (2) perpendicular lines, (3) rectangles, (4) a simple tessellation, and (5) a plane.
Electronic (email or on disc) submission is advised! It works best to use a PowerPoint type of
presentation so that the pictures and captions can be done electronically.
Option B – Research and Design (20 points each).
Choose up to 5. For each option chosen, you may reduce the number of photos by 20. For example, if
you choose two items on this list, you are required to have 60 photos that include 30 different items from
the attached list.
All research papers should be at least one page of type-written, double-spaced text and include
diagrams, drawings, or relevant photos. Appropriate references required.
1. Historical Figure – Research an historical figure that had contributions to the study of Geometry:
Pythagoras, Euclid, Euler, Galileo, M.C. Escher, or others you can find. Be sure to include diagrams
or photos that enhance your paper. DUE January 14, 2012
2. Golden Ratio – Research the presence and use of the Golden Ratio or Golden Proportion in Nature
(including human body), Art, Architecture or anywhere else. DUE January 14, 2012
3. Other kinds of Geometry – Research other types of Geometry known as non-Euclidean Geometry,
like spherical geometry where Triangles have at least 180 degrees (p. 154)! DUE January 14, 2012
4. Constructions – Using compass and straight edge only, make 4 Geometric construction designs. Mr.
Shenk has a book to guide you.
5. Scale Drawing – make an accurate detailed scale drawing of one of the levels of your home or a
room in your home including the furniture.
6. Scale Drawing – enlarge a picture or drawing using a grid.
7. Model – construct a model car, boat, airplane or building. Depending on the size of the project, this
can count as more than one option. Include the scale factor.
8. Carpet/Tile or Siding Job – Calculate the cost of putting in new carpet/tile in your home or the cost
of putting new siding on your home. Accurate measurements and drawings are required.
9. Fractals – Research fractals in art and nature and design one of your own (p 380, 381)
10. Tessellations – Research tessellations in historical art/design and make frieze/mosaic/tessellation of
your own (p. 514-521)
Option C – Design your own project.
Submit your idea for approval before beginning your project.
It must incorporate elements of the Geometry we have studied and involve about 10 hours of work.
Photo idea list:















































Intersecting Lines
Parallel Lines
Perpendicular Lines
Skew Lines
Intersecting Planes
Parallel Planes
A point contained in a plane
A line contained in a plane
A line intersecting a plane in one point
A perpendicular bisector
An angle bisector
A right angle
An acute angle
An obtuse angle
A straight angle
Vertical angles
Supplementary angles
Complementary angles
A rectangle
A parallelogram
A rhombus
A square
A trapezoid
A kite
A concave quadrilateral
An irregular quadrilateral
A right triangle
A scalene triangle
An isosceles triangle
An equilateral triangle
Congruent rectangles
Congruent triangles
Similar triangles
Similar figures
A polygon with 5 or more sides
A concave polygon with 5 or more sides
A regular tessellation
An irregular tessellation
A circle
A semicircle
A sphere
A hemisphere
A cone or partial cone
A cylinder
A rectangular prism
A triangular prism
A pyramid


















A radius of a circle
A chord/segment of a circle.
A circle with a diameter
Central angles of a circle.
An arc of a circle
A sector of a circle
A tangent to a circle
Rotational symmetry
Reflexive symmetry
A combination of rectangle and
semicircle
A combination of prisms
A combination of cylinder and
hemisphere
An illustration of slope/gradient
A situation where Sin/Cos/Tan can be
used to calculate a distance or angle.
Packaging that is one shape but contains
items of another shape
A slide transformation (translation)
A turn transformation (rotation)
A flip transformation (reflection)