Construct and Design a Shipping Package

You and your partner(s) must work together to develop a plan.  The company has stated that the package must be rectangular.  As one partner is working through the websites, the other should be jotting down notes.  Your final product should have complete sentences for your research answers.  As you are working toward the final product, you must keep a written report of your research and findings.  Please obtain a copy of the "Time-Line Chart, "Cultural Background", "Diverse Number Systems" and "Research Report" attachments  at the bottom of this page.  Complete each question (practicing complete sentence form), as that will be part of your final evaluation.

PART I:  Before you get started with the calculations, I want you to take a look at the development of the Pythagorean Theorem and how his name ended up attached to it. ["Time-Line Chart" & "Cultural Background"]

Who was Pythagoras?  Be sure to visit these sites to answer your questions.

    *  Pythagoras of Samos

   *  The Big View -History of PI

PART II: As Pythagoras traveled he encountered many different mathematical styles, more importantly different number systems.  How did some of those cultures "count"? ["Diverse Number Systems"]

 * Babylonian Mathematics

 * Ancient Egyptians
 

PART III: Applying the Pythagorean Theorem.  ["Research Report"]

What is a rectangle?

    *  A Maths Dictionary for Kids -Definition of a Rectangle

   *  Cool Math.com -Diagonal of a Rectangle

   *  A Math Open Reference -Change the size of the Rectangle and note the     

       difference in the LENGTH of the Rectangle and the LENGTH of the

       DIAGONAL.

   *  Math Warehouse -Diagonal of a Rectangle

 HELPFUL HINT:

If you use a rectangle shaped package and the longest golf club is the "diagonal" of the rectangle it forms 2 right triangles.  We can use the Pythagorean Theorem to determine the length of any side of a right triangle if we are given the other two sides' lengths.  But first, you need to do some research for your presentation and your report.

 What does the Pythagorean Theorem mean?

    *  Math is Fun-Meaning of Pythagorean Theorem

   *  The Big View-Pythagorean Theorem (formula)

   *  NOVA On-Line (PBS.org)-Diagram of the meaning

   *  Darth Vadar Explains Pythagorean Theorem-Another way to write the

       formula

 Work some sample problems on your paper.

    *  Pythagorean Theorem Examples-PowerPoint-NOTES and EXAMPLES

   *  Nova On-Line- (Baseball Problem)

   *  Nova On-Line- (Ladder Problem)

   *  Shodor Interactive Activities- (more interactive sample problems)  Draw

       each triangle and solve for the missing side.  You must have at least NINE

       of these problems completed (3 from each level) along with your FINAL

       ANSWER for the package appropriate package length.

FOR ADDITIONAL PROBLEM SEE

  * On-Line Math Learning

    *  Once you have completed the on-line activities, you should see your

       teacher for some extra practice. 

   *  There will be 4 "partial triangles" given to you and your partner.  One

       partner should CALCULATE (applying the Pythagorean Theorem) the length

       of the third side (for TWO triangles), while the other partner MEASURES

       (with a ruler) and CONSTRUCTS (with scissors) the length of the third side

       with a string to check the calculations.  THEN you will switch jobs for the

       other two triangles.

 PART IV:  CREATING  LOGOS

Men and women both play golf.  As you may well know, men and women have different tastes.  Now that you have completed the work, you and your partner need to create TWO NAMES (logo) and a DESIGNS for the logo for this new golf club.  You will need to create a name & design that would interest men and one for women.  You should both jot down some ideas that you have, then collaborate.  Your conclusion needs to be something that you can both agree on and support what your "team" has chosen.  One partner must choose the font, and the other must choose the logo style.

    *  You CANNOT use a name of a golf club that already exists

   *  The name must be SCHOOL APPROPRIATE.

   *  Create your logos: http://cooltext.com/

   *  Research Colors & Schemes for Logos

   *  More Research for Logos

 SAVING Your logo

    *  Save your logo as a PNG file 

   *  Upload it to our wiki page. 

   *  PRINT a copy of the logo to include with your report.

   *  Include a brief explanation for choosing the COLOR and STYLE of your

       logo.