| C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | |
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1 | Last Name | First Name | Mr. Lao Comments | What is your topic? | Give a brief bullet point list of the math you think you will use. | What is another topic you might be interested in? | Give a brief bullet point list of the math you think you will use | If you had to pick one: | |||||||
2 | Alexander | Shemar | Unique! | What is the best city and time (month/season + time of day) to travel to the moon in the quickest amount of time? | (I'm not 100% sure tbh) Trig Functions, vectors, rotation/revolution equations | How does the amount/frequency of train stations in a New York neighborhood correlate with the average salary (in said neighborhood)? | Statistics, regression curves, chi squared test | Granola Bars | |||||||
3 | Basnet | Abhishek | Sounds like a plan | How can we find the surface area of a NFL regulation sized football? | - integral calculus - differential calculus - Graph theory (maybe if I want to model the football and then use the surface area formula?) - functions (I don't know what they will look like) | How can we find the surface area of the airpod 2 case? | - intergral calculus - differential calculus - Graph theory (maybe if I want to model the curves of the case and then individually find the parts surface areas, which I could later add) - Functions (I don't know what they will look like) | Fruit Snacks | |||||||
4 | Chen | Yueyi | Sounds like a plan | What is the correlation between the MTA transportation fares each year and the average New York City salary? | Regression and trendlines Statistics | What is the correlation between the number of POV that characters have and the amount of people they killed in the Game of Throne book series? | Regression and trendlines Statistics | Chocolate | |||||||
5 | Chen | Winni | Sounds like a plan | How can we use trigonometric equations to determine the difference of a period in different sound waves? | - trigonometric equations such as sine and cosine - graphing technics - knowledge of finding the period and frequency | What is the correlation between the amount of force applied and the maximum point of a curve when a ball is thrown in the air? | - Finding the maximum - Use of a parabola - energy equation (from physics) to determine the force used | Chocolate | |||||||
6 | Chen | Eric | I'm worried that you won't be able to find enough data to even start this first chioce idea. You can still try, though. Your back up topic feels fine. | How can we calculate what are the rate of rotations needed for a frisbee to counter five, ten, or fifteen miles per hour winds using functions? | Linear/Exponential Functions Sine/Cos Diagrams Speed/Rate Velocity Angles | Can we calculate at what arcs we have the highest chance of making a point with a basketball? | Parabolas Functions Angles | Jolly Ranchers | |||||||
7 | Chen | Pearl | Sounds like a plan, and I feel confident the data you need exists somewhere, but there's always the chance that I'm wrong. | How does the CO2 concentration in the atmosphere affect temperature? | trigonometric functions (sine and cosine), r-value, statistical data | How does different volumes of an instrument affect the sound waves of those instruments? | calculation of integrals, sine and cosine functions, data | Apple sauce | |||||||
8 | D'Alfonso | Sofia | Cool. I like the idea of induction, but there aren't really an infinite number of possibilities to prove. I'm not entirely sure you'll find a lot of rich math beyond counting principles, but I have faith in you. Your back up topic feels fine. | what is one way the combination in a game of mastermind can be certainly guessed in less than 10 moves? | counting theory (permutations) mathematical induction and maybe linear recurrence. (im trying to prove a method that I know will work through mathematical expressions, essentially assuming the first position and or color used is correct until PROVEN otherwise, and starting with half of the first color and half of the second like AABB) | what would be the best force in the hit, and direction of the hit to make a ball that follows a parabolic motion land in the right corner of the court? | graphing parabolas on xyz (3D) intersection of vectors and a function intersection between a vector and a plane (this would take into account a range of points on a parabola and change accordingly to where the hit occurs) | Cookies | |||||||
9 | Glick | Teiryn | Sounds like a plan | Can you predict how someone will vote based on demographic information? | How multiple factors effect probability. | How is a 3D object projected on a plane? | Geometry of 2D shapes and how to take 2D shapes from 3D figure | Jolly Ranchers | |||||||
10 | Han | ashley | Vague, but might be interesting | Can we make an efficient wheel for rough terrain. | optimization. Geometric figures- shapes that can roll. | What is the best way of serving a volleyball? | Functions. Optimization. Vectors and magnitude. | Granola Bars | |||||||
11 | Hoque | Kazi | It might be hard to find region specific SAT data, but you should try; your back up topic sounds fine as long as you explore more of the properties of that type of curve (it's called a "catenary"). | What is the correlation between the average SAT score and the average income in certain regions? | Regression Curves Functions (depends on what the relationship is) R-values Graphing | How can I use calculus to find the area of the space underneath the Gateway Arch? | Integration Derivatives Antiderivatives | Cookies | |||||||
12 | Ibanez-Rouhe | Luz | It feels like you picked this after doing some research - I don't remember seeing this on a mindmap. I literally have zero background knowledge on this topic, but a cursory Google search tells me that it seems appropriate for our project, but it also seems incredibly difficult. You can certainly try. Your back-up topic seems fine, but I worry that you won't be able to find intellgible data easily. | What relationships is the Friedmann equation derived from? | trigonometric functions, exponential functions vectors at different angles | What is the correlation between distance of a star or galaxy from Earth to the amount of gravitational lensing? | exponential functions, trigonometric functions, definite integrals | Apple sauce | |||||||
13 | Islam | Naved | I'm not quite sure what you mean by "model the path" but the general idea sounds fine. | How can we model the path taken by a basketball when shot using integral calculus? | -integral calculus using acceleration, time, distance, and angles | How can we use permutation/combination to guess a password? | Permutation Combination Probability | Cookies | |||||||
14 | Kim | Samuel | Sure, but I worry about finding enough robust & reliable rent numbers to support your Exploration. Your back up feels fine, but is a little vague | How can we calculate the increase in rent by using functions that incorporate different variables such as location, space, and other factors? | Exponential functions Graphs | In the nba how can we use math to determine the most efficient way to play offense, for example,which shots are most efficient. | Functions Graphs Statistics | Cookies | |||||||
15 | La | Emily | I worry that you are unable to find the data you need to perform calculations yourself and you'd resort to just summarizing the mathematical work other people have done. Your back up topic doesn't sound like it would involve sound math that we have access to. | "How can we use data to predict the impact plant-based diets have on global warming(CO2 emission)?" | - trigonometric functions - graph transformations - optimization | What is the ideal curve of a sneaker to support ankles while running? | - angles - vectors (magnitude) - optimization | Cookies | |||||||
16 | Lee | Jack | Sounds like a plan | How can we use probability to figure out our chances of winning in black jack? | Probability: combination and maybe permutations, Variance standard deviations | How can we use probability to figure out our chances of winning in poker ? | Probability : combination most LIKEY and permutations. Ratio and percentages how buffing works | Cookies | |||||||
17 | lee | kevin | Sounds like a plan, but make sure the math you use is more than just right triangles - you could expand your topic to include all sorts of mathematical things in the branch of physics called "optics" | What are the mathematical processes behind glass lenses? | Lens Equation and the Magnification Equation. Concavity of the glass lenses Reflections and angles of reflecting rays of light power of light being shined through lenses | What is the best arc for a basketball? | velocity of ball acceleration of ball trigonometric functions | Cookies | |||||||
18 | Li | Addison | Sounds like a plan | At what angle can a disc be thrown at to reach the farthest distance? Speed will be a constant. | I will be using the kinematic equation in both the x and y direction in order to calculate the distance. I will be using the concepts of time, velocity, and trigonometric functions. | How does a disc fly? | For this problem, we will have to use both drag and lift force. We will use velocity, surface area, mass of an object, and the angle of the object. | ||||||||
19 | Li | Madison | Sounds like a plan | What is the surface area of a cello using integrals? | Using the surface area ofdefinite Integrals to calculate the curves and different dimensions | What is the velocity of a person diving off a cliff with wind resistance? | Graphs, physics principles (gravity, resistance, velocity) | ||||||||
20 | Li | Grace | Sounds like a plan | What is the relationship between the thickness of a (guitar/piano) string and its frequency? How does the material that's used to make a guitar string affects the acoustics of the sound in contrast to the material of a piano string and its acoustics? | Trigonometry, derivatives | How can we optimize the trajectory of a volleyball with consideration to its length and height? | derivatives (optimization?), trigonometric angles, graphing function(parabolas) transformation | Cookies | |||||||
21 | Permessur | Alisa | Fantastic question - my only worry is you finding robust enough data to support your Exploration where you can be doing calculations and math and not just summarizing other people's mathematical work; back up topic is fine | How can we model the attributable risk (the percent difference in the incidence rate of a condition between an exposed population and a comparable unexposed one) that the effect of radiation had on the rise of leukemia after the atomic bomb was dropped on Nagasaki and Hiroshima? | - regression curves - trendlines - exponential functions (to represent the leukemia growth over time) | How can we model the relationship between the popularity of a movie and its profits? | - regression curves - trend lines | Cookies | |||||||
22 | Rahman | Alvi | The stock market is far too volatile for predicition. If we could predict what happens to stocks, I think a lot of people in the world would be a lot richer. Your back up topic seems okay, but I don't have a clear vision of how you'd incorporate all that math you listed, but I do have faith in you. | How can we analyze the prices of the stock market and predict values in it, minimizing risks and maximizing profits? | Differential Calculus Game Theory (?) Support and Resistance Lines | What is the minimum space required for a Honda Odyssey 2001 to make a u-turn? | Differential Calculus Optimization Geometry | Fruit Snacks | |||||||
23 | Saffee | Mohamed | Sounds like a plan; I also quite like your back-up topic, but the math there might be super complex. | How can I model the speed and direction I am moving in during my commute from home to school? | Derivatives Vectors, magnitudes Linear, quadratic Functions | How does Netflix recommend shows to it's subscribers? | Probability Statistics Algebra | Chocolate | |||||||
24 | Shalahava | Anastasiya | Sounds like a plan | How can we use mathematics in order to win a game of blackjack? | Probability to confirm the accuracy optimum strategy | Projectile motion | Graphing; finding derivatives; finding the area under the curve. | Fruit Snacks | |||||||
25 | Tahsin | Lamia | Sure, but I wonder why you think trig functions are involved - do things look like waves? | How can we model different angles of a skateboard on a railing and its relationship to balance through trigonometric equations? | > R-Polar Coordinates > Cos-Sin-Tan Graphs > Vectors (for designing a number of directions a person can face) > Potentially a bit of physics (bc mass of the person matters here too) | How can we understand the rate of work on the building by analyzing its 2D shape? | >Ratios in surface area and volume >Solids of revolution >Rates of work (taking in the factor of the material used on the particular building) | Chocolate | |||||||
26 | Tasnim | Farzana | Sounds like a plan | How can we use sine/cosine diagrams to understand the sound of different music notes? | - sine/cosine waves - sine diagrams - trigonometric functions - frequency graphs - combinations/permutations? - regression/trendlines | Is there a relationship between how many train stops are in an area and how populated an area is? | - linear regressions - functions (I'm not sure which type yet) - statistics - trendlines | Granola Bars | |||||||
27 | Temal | Anjali | Sure, but your question as stated doesn't make sense to me - I'm not convinced a picture can help you calculate anything about velocity, but I think I'm misinterpreting your idea since it sounds like you've thought this through | How can we use a graphical representation of a coil/spring to determine the velocity of an object launched by that spring? | The Spiral Part - logarithmic equations - trigonometric equations - parametric equations - Archimedean Sprial (I read about this on wikipedia and it seems really cool!) The Velocity Part - exponential equations - linear equations - derivatives (instantaneous rate of change) | How do increasing amounts of light pollution impact the visibility of stars? | - exponential equations - derivatives - vectors - parametric equations - trigonometry I thought this would be a cool topic and when I looked it up I found some really complicated looking math that maybe I could use but I don't know if it would be too much (I wanted to put the big math on the list but I didn't even know what it was). | Cookies | |||||||
28 | Tigsi | Geoffrey | Sounds like a plan | How can we model the changing distance between the moon and sun using trigonometric functions? | Trigonometric functions (sin and cos), graphing them using amplitude, maximums; line of best fit (distance may not be the same always) | Can we graph the change in speed of roller coasters? | Kinematics? (displacement, velocity and acceleration equations) anti-derivatives and integration of equations, sign diagrams (increasing or decreasing, stationary points) and interpreting graph values (+/-) | Chocolate | |||||||
29 | Wang | Johnny | Sounds like a plan | How do the sound waves of violins and upright bass compare? | trig graphs wave frequncy Minimum and maximum of graphs Amplitude | What are the different infinities? | Infinity theory Countably Infinite Sets Uncountably Infinite Sets Number theory | Chocolate | |||||||
30 | Wang | Hong | This seems vague and I have a worry that the math you're using isn't sophisticated enough, but you could still try. Your back up topic is approved, but I also worry about getting accurate data/information to properly investigate that topic, | How do we use golden ratio to construct the perfect face? | golden ratio, expressions, equations, Fibonacci sequence, Phi, proportion, ratio | What is the relationship between hand angle and curve of a volleyball during a serve? | equations, quadratics, geometry, mathematical physics, curves | Cookies | |||||||
31 | Wen | Tongshu | Sure, but make sure the math you showcase is more than just circumference divide by diamters (math needs to be at the level of HL math) | What were the different method used to find the value of pi in history? | trigonometry (circle, sin/cos/tan),Sequence, trigonometrical model | How does Gyroscopic Effect play a role in the travelling of a Frisbee? | trigonometry (circle, sin/cos/tan),Sequence, trigonometrical model | Chocolate | |||||||
32 | Yang | Jeff | This feels too simple. You would need to expand it. There's lots of ways you can do this - exploring more about spherical coordiantes, or showcasing why spherical coordiantes are special, or showing how graphing in spherical coordinates could be easier, or showing some things about spherical geometry. You could potentialy integrate your back up topic into here, though it's probably it's own topic (and it feels fine as a separate topic, too). | How can we find a point on a sphere? | spherical coordinates, converting between rectangular coordinates and spherical coordinates | How can we find the area of triangles on a sphere? | spherical geometry | Cookies | |||||||
33 | Ye | Chaobin | Sounds like a plan | How can we find the surface area of Oculus using integral Calculus? | Integral Calculus Definite Integral | How can we find the surface area of the VIA 57 West building using integral Calculus | Integral Calculus Definite Integral | Cookies | |||||||
34 | Zhang | Jason | Sounds like a plan, but why trigonometric functions? Planes don't genrally travel in waves? Unless I'm interpreting your idea incorrectly. | How can we model the path of flight of a plane (taking into consideration of wind speed, other planes, air resistance) using trigonometric functions? | Trigonometric functions (Cos, sin, and angles) Velocity Vectors (maybe) | How can we model the path of a bow using trigonometric functions? | Trigonometric functions Velocity Vectors (maybe) | Chocolate | |||||||
35 | Zheng | Nina | Sounds like a plan | How can we model the "perfect jump shot" in basketball using equations of parabolas? | - quadratic equations/ functions - quadratic formula - properties of parabolas (y-coordinate of vertex = maximum height) - kinematics (velocity and acceleration of ball through air) | How can we determine the optimal play moves to win a game of tic-tac-toe? | - combinations - factorials - reflections and rotations (different rotations of grid similar to each other) | Cookies | |||||||
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