IB HL Math IA Topics

Geometry

Statistics

Other functions

Music And Trig~ exploration of the applications of trig functions in the world of music

Mathematics in art~expolring the role of math in art and the underlying order of aesthetic

Traffic ~I-85 Bridge collapse, how it affected traffic brigde collapse site

traffic data to anylyse flow rate and form expiremental distridution Data

examine the effects of the bridge collapse on traffic along several routs including surface streets and the route my mother uses to reture home from work Alternative routes

Math to use

personal engagement: traffic is part of my life, I live in atlanta, the traffic has affected my family's ability to get home

Chi squared goodness of fit test-check if data is truly random chi squared

Poisson distribution

Finding the Inscribed shape and position that covers the most area in a scalene non-right triangle

Polar Functions polar

Spherical coordinates Link

Personal interest

Area of functions Link

I think Polar functions are very interesting and based on a new realm of coordinate associations

they look really interesting and i would like to learn more

Damped trigonometric functions Functions

Math

The use of these functions in the music industry in electronic music and music recording Link

Trig functions to express waves

Sound proofing technology

Harmonic Analysis of music link

Trigonometric functions

trig damping Link

personal interest

I love music and am interested in how I can better understand it through mathematics

Exploration of polar functions

characteristics

In 3D

areas

I should be able to reflect about my approach and the validity of my findings as well as the math I choose to use. I could also examine the validity of different approaches and their ease

Adaptation of a problem presented to me years ago that I have wondered about the solution too

Maths

Triangle geometry Link

inscribed circles

Squares in a triangle Link

Solutions

coordinate approach Link

Geometric approach

trig Approach

Architecture Link Title

Personal interest

I really like the architecture of antoni gaudi who made extensive use of geometry in his work

I have liked art for many years however I thought it somewhat random for many years and so I am interested in exploring the underlying and hidden order

possible expressing of planetary orbits

Geometry and Symmetry Link Title

use of math in building design Link

Visual Arts

The golden ratio

Proportions

Geometry and symmetry

Work by Antoni Gaudi

I can reflect on the validity of geometric
analysis of art and the importance of order in human endeavors

I could reflect on the validity of my analysis and the applicability of the investigation to oh the situations. The transferability could be examined as to the use in other fields.