Proving x^0=1

 

This belongs to one of my students. 

She came up with a better explanation than mine : )

 

Sum of Consecutive Odd Numbers

 

Proving the Pythagorean Theorem

 

Image credits: https://cd1.edb.hkedcity.net/cd/maths/en/ref_res/MATERIAL/MSS_e/Exemp21.pdf and https://www.history-of-mathematics.org/artifacts/zhoubi-suanjing-pythagorean-theorem-proof

Visual Proof

 What equation does the following image prove?

Problem 124: SQRT 2

Problem 117: Geometric Series Proof