Seeing Math in the World

Application

• Use functions to model real-life problems• Project trends based on models• Finances• Population• Data analysis

Habits of Mind

• Breaking big problems into steps• Justifying choices• Mathematic theorems originally used to

understand the world

Proof

• Thomas Jefferson modeled the composition of the Declaration of Independence on a geometric proof; which makes it so powerful.

• Albert Einstein’s theory of general relativity used non-Euclidean geometry to prove that the path of a ray of light, in the presence of a gravitational field, is not straight but curved.

• Course Description: Mathematics, Philosophy, and the "Real World“ http://www.thegreatcourses.com/tgc/courses/course_detail.aspx?cid=1440

Views shaped by math

• human nature• religion• truth• space and time

Key Philosophers• Plato: Flourishing in the 4th century B.C.E., Plato was inspired by geometry to

argue that reality resides in a perfect world of Forms accessible only to the intellect—just like the ideal circles, triangles, and other shapes that seem to exist only in the mind.

• Descartes: Writing in the 17th century, René Descartes used geometric reasoning in a systematic search for all possible truths. In a famous exercise, he doubted everything until he arrived at an irrefutable fact: "I think, therefore I am."

• Kant: A century after Descartes, Immanuel Kant argued that metaphysics was possible by showing its kinship with mathematics. The perfection of Euclidean geometry led him to take for granted that space has to be Euclidean.

• Einstein: Working in the early 20th century with a concept of "straight lines" that was different from Euclid's, Albert Einstein showed that gravity is a geometric property of non-Euclidean space, which is an essential idea of his general theory of relativity.

My Project

• Video/song that inspired me.• Driving questions:– How do I surround myself with positive things?– How do I contribute positive things to the world

around me?

How do you surround your self with positive things?

How do you contribute positive things to the world?

Connection to Parent Functions and Transformations

Product

• Symbolism• Medium explained