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Mathematics AA SL IA Samples
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What will be the cost of painting the Eiffel Tower?
In this Mathematics IA, the student connects their personal experiences from a family-owned paint shop to explore the quantitative aspects of paint usage for cost estimation, weaving together commerce and mathematics.





Determination (prediction) of exact time of buying or selling of stocks by solving the first order derivative, second order derivative and analysis of asymptotes of price of stock function with respect to time.
This Mathematics IA reflects a student's journey of discovering the vast applicability of the subject across various disciplines, inspired by the real-world approach of the IB curriculum. The focus lies on the versatility of Mathematics.





What are the different plausible ways to decrypt an encrypted data, encrypted using RSA Algorithm without using private key?
This IB Mathematics IA offers an exploratory study into the intricate processes of data encryption and decryption. It delves into the mechanics of converting plain messages into cipher text, and the subsequent decryption using keys.





Investigation on the effect of Golden Ratio in two Monuments (Taj Mahal, Notre Dame) using Vector Calculus
This Mathematics IA unravels the fascinating connection between the Golden Ratio and real-world architecture. The author intends to investigate its influence on prominent structures like the Taj Mahal and Notre Dame.





What should be the minimum range of pool required to be constructed right after a steep slide in a water park, provided that the slide in the water park will offer a thrilling experience by creating maximum terminal velocity of projectile?
This Mathematics AA internal assessment focuses on determining the required pool range for a safe dive after a water slide. The student explores key parameters such as terminal velocity and the angle of departure from the slide. They analyze how modern water parks aim to enhance the thrilling experience while prioritizing individual safety. By examining the slide's shape and calculating the time taken to traverse it, the maximum speed of descent can be determined. Join the investigation into the mathematical aspects of water slide design and the factors that contribute to a thrilling yet safe experience for park visitors.





Investigation of Golden Ratio in Construction of The Great Pyramid of Giza
This Mathematics AA internal assessment delves into the enigmatic construction of the Great Pyramid of Giza. The student explores the historical context, archaeological significance, and mysterious aspects surrounding its creation. Through mathematical analysis, they investigate the precision and scale of the construction, questioning the tools and techniques available during that time period. Join the exploration of the presence of the golden ratio within the pyramid's design, unraveling the mathematical secrets hidden within this ancient wonder of the world.





Investigation on the effect of poaching in the population of one – horned rhino in india using predator – prey model
This Mathematics AA internal assessment explores the complex concept of happiness and its interpretation. Inspired by Dalai Lama's famous words, the student examines the objective of life and its relationship to mental well-being. Through mathematical analysis, they investigate the different perspectives on happiness, including its positive and negative aspects. Join the exploration of how happiness can be perceived as both a fulfilling pursuit and a potential source of harm, shedding light on its transient nature.





To determine an analytical solution of the projectile motion of a volleyball experiencing an air resistance in terms of Quadratic Resistance Law using Analytical Method and Power Series Expansion.
This Mathematics AA internal assessment explores the captivating concept of projectile motion. It delves into the motion of a particle projected at an angle with the horizontal, studying its trajectory and behavior. Through mathematical analysis, the student investigates the effects of gravity, acceleration, and initial velocity on the particle's path. Discover the fascinating dynamics of projectiles as they soar through the air before eventually returning to the ground.





Investigation on the velocity of water behind the turbulent flow and streamline flow of fountains and range of the water flow in fountain at burj al arab.
This Mathematics AA internal assessment explores the fascinating world of the water fountain at Burj Al Arab in Dubai. It examines the intricate design, integration with architecture, and control mechanisms behind this engineering marvel. Dive into the mathematical analysis of water velocity, timing, synchronization, and additional factors that contribute to the breathtaking display. Discover the role of high-pressure water pumps, waterproof tiles, and software in creating this awe-inspiring spectacle.





Modelling of a section of roller coaster track that will offer maximum thrill and determination of minimum velocity at any point on the roller coaster track
This Mathematics AA internal assessment explores the exhilarating world of roller coasters. It delves into the ups and downs of their tracks, analyzing the heights and thrilling experiences they provide. Join the student on a mathematical journey through the physics and calculations behind these popular rides.





Investigation on the effect of arithmetic sequence and geometric sequence acting simultaneously on a particular event.
Description: This Mathematics AA internal assessment delves into the concept of balance and its significance in various aspects of life. The student, inspired by the IB learner profile, employs their inquisitive nature to investigate daily events related to their curriculum. Through a coherent and efficient analysis, this assessment seeks to uncover the mathematical aspects underlying the notion of balance.




