Geometry Everywhere

by Lorraine Henkel

 

                Introduction | Task | Process and Resources | Teacher Notes| Evaluation

Conclusion

Introduction   airjordan.gif (970 bytes)

We are surrounded by geometric shapes!  For instance, what shapes make up the backboard of a basketball hoop?  bskb_ada.jpg (2681 bytes)   How about our favorite CD?  nsync.jpg (3283 bytes) 

Or the pattern on the bottom or top of your favorite kicks? JB_9907_F2_splash2_01.gif (9308 bytes) We know that the shape of the Pentagon building pentagon.gif (25123 bytes)  is a pentagon but what about the Leaning Tower of Pisa?  (And why doesn't it fall over?)pisaa.GIF (137216 bytes)

                          


The Task  airjordan.gif (970 bytes)

In groups of no more than four but not less than three, you will be able to recognize and describe shapes in real world situations.  Some questions you might think about during your project might be, "How many shapes can be seen in this object?"  and "Why does this shape appear in this setting?"  Often objects around you are made up of two or more shapes.  Identify these shapes and calculate the perimeter and area of these figures.  Other geometric topics that may be seen in these objects are parallel and perpendicular lines.  


Process & Resources  airjordan.gif (970 bytes)

  1. First you'll be assigned to a team of three - four students.                                            

  2. As a group, go to http://www.odot.state.or.us/eshtm/capecrk.htm and print out the picture.  Using your ruler, outline three different shapes in the picture.  Always remember that some objects are made up of two or more shapes.                

  3. Once you have completed #2, you will need to figure out the area and perimeter of each figure.  For a circle , find the area and circumference.  You will have to complete this three different times:  First compute the Area and Perimeter using the set of natural numbers, then numbers containing decimals and then using fractions.  You may use any numbers you like but make sure they are realistic.  (See my Teacher Notes above.)                                                                                

  4. Repeat steps #2 and #3 for these two web sites also:   http://www.odot.state.or.us/eshtm/sdepot.htm                       http://www.greatbuildings.com/cgi-bin/gbi.cgi/Chrysler_Building.html/cid_2919350.gbi                                                                                                                                                                                                                                                 

  5. Each person in your group will choose three of their own sites.  Using these sites, accomplish the same task above.  Once again make sure you choose realistic numbers to evaluate the Area and Perimeter.  Each member of your group should have different sites.  No one in the class should have the same site because there are countless web sites that you can choose from.

  6. You should also point out (draw with your ruler) a pair of parallel and perpendicular lines from each picture.  Why do you think they are located where they are and why are they used?                                                                                                                                    

  7. Remember....Each person in a group is held accountable for each other.  Please make sure to check each others work.

  8. Read these directions again.


Teacher Notes  Me.jpg (3982 bytes) (click my picture for Teacher Notes)


Evaluation   airjordan.gif (970 bytes)

Depending on you group size, you should make sure that you hand in:

1.    The three sites I have chosen for you

2.    Three different web site pictures from each person in the group

3.    Area and Perimeter computed on each picture  -  You will have three computations         total, using the set of natural numbers, fractions and decimals. 

4.    Parallel and Perpendicular lines drawn


Conclusion   airjordan.gif (970 bytes)

When completed, you will be able to recognize various geometric shapes in a real world setting.  Further, you will have justified the procedures for basic geometric constructions and represented problem situations by using geometric figures.

 


created by:    Lorraine Henkel                             date:     10/19/99

New Rochelle High School - Math Department

                    Math A Curriculum - Standards for the Math A Exam - New York State

Key Idea #4 and #5

 

air jordan logo and sneaker by NIKE                                         picture of the author by  V. Guarino