Pi Day Activity

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Monday is Pi Day – We will have a pi-day activity ending on Monday.

There are many algorithms designed to calculate the digits of pi.
1. Find at least 4 of them and show their time and space complexity. Explain their complexity.
2. List them from least efficient to most efficient.
3. Describe how you would implement the most efficient.

DOCUMENT YOUR MATHEMATICAL EXPRESSION AND THE LINK TO THE RESOURCE.

PROMYS

PROMYS provides a lively mathematical environment in which ambitious high school students explore the creative world of mathematics. Through their intensive efforts to solve a large assortment of unusually challenging problems in Number Theory, the participants practice the art of mathematical discovery – numerical exploration, formulation and critique of conjectures, and techniques of proof and generalization. More experienced participants may also study The Mathematics of Computer Graphics, Complex Analysis in Number Theory (Dirichlet’s theorem on arithmetic progressions), and Geometry and Symmetry. Problem sets are accompanied by daily lectures given by research mathematicians. In addition, a highly competent staff of 20 undergraduate counselors live in the residence halls and are always available to discuss mathematics with students. Advanced participants also develop independent research projects advised by research mathematicians. Special lectures by outside speakers offer a broad view of mathematics and its role in the sciences and in future career options.

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Khan Academy and Breakthrough Prize

“From now until October 7, Khan Academy and Breakthrough Prize are seeking video submissions that explain a challenging and important concept or theory in mathematics, life sciences, or physics. If you’re between 13 and 18, and you have a passion for explaining ideas and concepts creatively, you can enter the Breakthrough Junior Challenge!
Learn more about the Breakthrough Junior Challenge
Not only can you dig into a topic that you’re passionate about, but there are also great prizes to be won, including a $250,000 scholarship for you, a $50,000 award for your teacher, and a state-of-the-art $100,000 science lab for your school. The winner will also be invited California, where the prize will be awarded in front of the superstars of science, Silicon Valley, and Hollywood.

If you enter, you’ll view and assess other participants’ videos in a peer-to-peer review process. Submissions will then be assessed by leaders in science, technology, and education selected by Khan Academy and by Breakthrough Prize laureates. The judges will select a winner based on how engaging, illuminating, and creative their video is, and how challenging the concept is to understand.

The deadline for submissions is October 7, so register today at www.breakthroughjuniorchallenge.org. We hope you’ll be inspired to get involved – and share your passion for understanding the world!

Onward,

Erin and the Khan Academy content team”