- What is the largest possible area of a rectangle if its perimeter is 20? Use a java applet to explore this question and others.
- If eight squares, each with a perimeter of four, are combined to form a rectangle with a length of four, what is the perimeter of the newly formed rectangle? Use a java applet to explore this question and other perimeter problems.
- The sum of the degrees in a rectangle will be the number of degrees in how many circles? Find the answer with this java applet.
- What happens when you connect the midpoints of a quadrilateral? See if you're right here.
- In order for a rocket to launch, it must pass through three stages. Each stage has a fifty percent chance of success. What are the rocket's chances for lift off? Discover the answer with this java applet.
- How many toothpicks would it take to create four adjacent squares? Use this java applet to find out.
- Can you create a kite using any given pair of diagonals? Try with our diagonals at this java applet.
Did You Know?
- Take the magic square:
whose rows, columns, and diagonals each sum to 15. Now consider each row to be a three digit number. Square each number and add them together. Now look at the row numbers backwards and do the same. What do you notice?
(816)2+(357)2+(492)2 = (618)2+(753)2+(294)2
Now try the same with the columns!  Source
- The Pythagorean Theorem was known by the Babylonians more than 1000 years before Pythagoras.  Source
- The Babylonians used a base 60 system, which we continue to use for time today.  Source
- The first woman to receive a Ph.D. in mathematics was Winifred Edgerton at Columbia University in 1886.  Source
- "Life is good for only two things, discovering mathematics and teaching mathematics"--Siméon Poisson   Source
- The creators of calculus as we know it now were Gottfried Leibniz and Isaac Newton.  Source
- The word Algebra comes from the title of a book in the Arabic language.  Source
- The equal symbol was first used by Robert Recorde in 1557 in The Whetstone of Witte.  Source
- The first person to prove that pi is not a rational number was Johann Lambert.
- The Egyptians had a decimal system using seven different symbols.
- 1 is shown by a single stroke.
- 10 is shown by a drawing of a hobble for cattle.
- 100 is represented by a coil of rope.
- 1,000 is a drawing of a lotus plant.
- 10,000 is represented by a finger.
- 100,000 by a tadpole or frog
- 1,000,000 is the figure of a god with arms raised above his head.  Source