Pedal triangles lead to spirally similar cyclic quadrilaterals in any triangle. A half turn and dilation by 1/8 create the new quadrilateral.
Pedal triangles lead to spirally similar cyclic quadrilaterals in any triangle. A half turn and dilation by 1/8 create the new quadrilateral.
30 sessions, 45 hours, a team of 6 faculty members. Cheenta is presenting a camp for Indian National Math Olympiad (leading to International Math Olympiad). We begin on 14th December 2018 and it will run up to 19th January 2019.
We fold a paper using GeoGebra and explore a problem from American Mathematical Contest
An experiment to teach percentage arithmetic, Euclidean geometry, rational and irrationals and computational software tools in an interdisciplinary manner. We extensively used GeoGebra and plan to use Python later in this sequence of discussions. The exposition is conversational (in the spirit of Tarasov's Pre-Calculus). As a method of pedagogy, dialectics is subtly employed to enhance student's grasp of the subject.
A.M.- G.M. Inequality can be used to prove the existence of Euler Number. A fascinating journey from classical inequalities to invention of one of the most important numbers in mathematics!
RMO 2018 Tamil Nadu Problem 3 Sequential Hints and Solution. A number theory problem with a pinch from diophantine equation.
RMO 2018 Tamil Nadu Problem 2 Sequential Hints and Solution. A polynomial problem with seasoning from geometric progression.
RMO 2018 Tamil Nadu Problem 1 Sequential Hints and Solution. A beautiful geometry problem that uses properties of cyclic quadrilaterals.
Regional Math Olympiad (Tamil Nadu Region, 2018) Problems, Sequential Hints and Discussion.
The golden ratio is arguably the third most interesting number in mathematics. We explore a beautiful problem connecting Number Theory and Geometry.