Category Archives: Math

Happy Pythagorean Theorem Day!

pythagoras-sketchDid you forget to get a card?  We don’t know if the card store will have something for today, but that doesn’t mean you can’t celebrate!

Pythagorean Theorem Day or Pythagoras Theorem Day is celebrated when the sum of the squares of the first two digits in a date equals the square of the last digit in the date. In this case: August 15, 2017 (8/15/17 or 15/8/17): 8² + 15² = 17². The next instance of this special day won’t happen until December 16th, 2020…so don’t miss your chance to celebrate today!

So let’s refresh…what is the Pythagorean Theorem?

From Wikipediareal-life-applications-pythagorean-theorem_672e4a5e3a2f7d7 In mathematics, the Pythagorean theorem, also known as Pythagoras’s theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. The theorem can be written as an equation relating the lengths of the sides a, b and c, often called the “Pythagorean equation”:  a2+b2=cwhere c represents the length of the hypotenuse and a and b the lengths of the triangle’s other two sides.

Although it is often argued that knowledge of the theorem predates him, the theorem is named after the ancient Greek mathematician Pythagoras (c. 570–495 BC) as it is he who, by tradition, is credited with its first recorded proof. There is some evidence that Babylonian mathematicians understood the formula, although little of it indicates an application within a mathematical framework. Mesopotamian, Indian and Chinese mathematicians all discovered the theorem independently and, in some cases, provided proofs for special cases.

The theorem has been given numerous proofs – possibly the most for any mathematical theorem. They are very diverse, including both geometric proofs and algebraic proofs, with some dating back thousands of years. The theorem can be generalized in various ways, including higher-dimensional spaces, to spaces that are not Euclidean, to objects that are not right triangles, and indeed, to objects that are not triangles at all, but n-dimensional solids. The Pythagorean theorem has attracted interest outside mathematics as a symbol of mathematical abstruseness, mystique, or intellectual power; popular references in literature, plays, musicals, songs, stamps and cartoons abound.

So how to celebrate?  Try these ideas:

  • earn more about the Pythagoras Theorem and its real life applications.
  • Celebrate the day by eating foods that are cut in right angle triangles. Make a pizza or bake a cake or cookies in the shape of a right triangle. Or just your PB&J will work too!
  • Since the holiday depends on a unique date pattern, why not spend the day learning about other special date patterns- sequential, repetitive, or palindrome for example?

Celebrating Pi!

Pi Day is right around the corner (March 14th) and there’s tons of fun ways to celebrate this day in the classroom or at home! We’ve gathered a few of our favorite Pi Day activities for you to try with your students to help explain the significance of this totally awesome holiday. Please let us know if you try any of these in the comments below!

Continue reading “Celebrating Pi!” »