math sl ia topics calculusmath sl ia topics calculus

The content now includes over2500 pages of pdf content for the entire SL and HL Analysis syllabus and also the SL and HL Applications syllabus. Find out more! Different methods of calculating the volumes of a coconut are compared to find the most appropriate method through the application of calculus, basic mathematical formulae and graphical software's. Procedure: Using the dimensions of a coconut, the first method is using the ellipsoid formula. You can also get further IB guides in full detail here on our blog. This is a puzzle that was posed over 1500 years ago by a Chinese mathematician. Is there a way to utilize arithmetic to predict how contagious diseases like measles will move across a population? The requirements irrespective of whether you opt for SL, HL (AA or AI) are as follows: Criterion A - Mathematical Presentation: (Levels- 0, 1, 2, 3, 4) Assessment is done on the conciseness, brevity, and clarity/coherence of your investigation. Considering the risks involved in making decisions based on incomplete or conflicting information might make us more cautious. 1) Radiocarbon dating understanding radioactive decay allows scientists and historians to accurately work out somethings age whether it be from thousands or even millions of years ago. E.g. IB Maths Standard Level (SL) Questionbank, Practice Exams, Past Papers Solutions and Exam Key Concepts Look at the Bayesian logic behind the argument that we are living in a computer simulation. 34) The Tusi circle how to create a circle rolling inside another circle using parametric equations. 17) Medical data mining Explore the use and misuse of statistics in medicine and science. 30) Can you solve Oxford Universitys InterviewQuestion?. Does finger length predict mathematical ability? Fermats Last Theorem is one of the most famous such equations. Could you please help me. A good use of your calculus skills. This is a nice way to link some maths history with studying an interesting function. Use the Guardian Stats data to find out if teams which commit the most fouls also do the best in the league. I am not sure what kind of math I would have to be doing. 8)Log Graphs to Plot PlanetaryPatterns. Hey, I have an research question for maths, but I not sure how to start it. Does the time it takes a kid to arrive to school depend on how far they live from the school? maths 100% (1) 30. but in the same time I want a great IA that interests the person that is gonna read it, I need help finding a math ia topic related to keyboards or computers related. Investigate how the scores from different IB subjects compare. 20) Are the weights of 1kg bags of sugar normally distributed? The IB Math Analysis & Approaches (AA) SL Key Concepts section is one of the four main features on Revision Village for AA SL students (in addition to Questionbank, Practice Exams and Past Papers).The Key Concepts section includes a carefully planned set of AA SL Exam Revision Videos that students can use to refresh specific concepts (e.g. Anything, but guidance would be highly appreciated. This amazing result can generate e through considering hyper-dimensional shapes. Is there a correlation between arm span and foot height? Can we use a mixture of pure maths and computing to solve this problem? 7) Sierpinksi triangle: a fractal design that continues forever. Math AA HL tests; Math AA SL tests; Math AA HL P3 questions; Math AA for teachers; Math AI. Considers modelling. 23) Perfect Numbers: Perfect numbers are the sum of their factors (apart from the last factor). Investigate some rocket science! NOTE: These topics are purely meant as inspiration and are not to be chosen blindly. Modeling a virus and its spread 5. document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); Blog at WordPress.com.Ben Eastaugh and Chris Sternal-Johnson. Zenos paradox of Achilles and the tortoise, The Poincare Conjecture and Grigori Perelman, The Monkey and the Hunter How to Shoot aMonkey, Galileo: Throwing cannonballs off The Leaning Tower ofPisa. However, when I feed it into graphing software, the ab^x and a*e^x . (pdf). hi i need help choosing a math ia topic, anything easy and simple will be good please and thank you, i need help in find a IA for math AI HL How do you even choose a topic? What kinds of character combinations are best for online safety in light of brute force attacks? What is here? In practice, coming up with an original topic, which you can investigate to prove that you have a strong grip of mathematical concepts and principles can be somewhat challenging. Were happy to help. Explore the 7 simple steps on how to learn Calculus. Appreciate if you can get in touch wtih me at the earliest. Do bilingual students have a greater memory recall than non-bilingual students? This idea uses concepts from probability and data coursework in Math SL. 9) Coding Hailstone Numbers. 33) The Chinese Remainder Theorem: This is a method developed by a Chinese mathematician Sun Zi over 1500 years ago to solve a numerical puzzle. 11) Flatland by Edwin Abbott This famous book helps understand how to imagine extra dimension. What would happen to the climate in the event of a nuclear war? I'm interested in something along the lines of differentiation or volume of revolution. MATH SL IA (DYING.) 19) The Barnsley Fern: MathematicalArt how can we use iterative processes to create mathematical art? Ive written a comprehensive IB exploration guide which contains the Exploration Guide Essentials (63 pages), Statistics for Explorations (55 pages) and Modeling for Explorations (50 pages). How the normal distribution is used to predict elections. If it takes the tortoise twice as long to cover the same distance as a runner, then there's no way the runner can catch up to it no matter how fast he runs. Click here to reset it. I am a standard level student and math is not my strength so something where knowledge of simple maths is enough would be perfect. We offer, how to structure and format your Maths IA. Use computer graphing to investigate. im currently struggling on finding my math IA topics and the due date is already getting near. Maths IA 22. maths 100% (1) 15. 11) Mersenne primes: These are primes that can be written as 2^n -1. And when you explore such a personally fascinating subject within certain regulations of the IB, you will be writing your mathematics internal assessment. ie 6 is a perfect number because 1 + 2 + 3 = 6. 10) Pythagorean triples: A great introduction into number theory investigating the solutions of Pythagoras Theorem which are integers (eg. 4) Applications of complex numbers: The stunning graphics of Mandelbrot and Julia Sets are generated by complex numbers. In some geometries triangles add up to more than 180 degrees, in others less than 180 degrees. IB also requires you to reflect on your findings in the report as part of your IA. I'm doing a modelling IA, and I have collected data that appears like it should fit an exponential regression. Thank you. 37)Modelling a NuclearWar. How many people need to be in a room for it to be at least 50% likely that two people will share the same birthday? IBDP Math HL. Look at some stats for NBA players to find out. SL and HL 11 HL only 11. The similarities between mathematics and photography 4. A geometric proof for the arithmetic and geometricmean, Classical Geometry Puzzle: Finding theRadius. are examples of log scales investigate how these scales are used and what they mean. Compared to maths studies, there are a few additions alike Voronoi diagrams, simple integration by hand or using trapezoidal rule, t-test, modelling using graphs,. This is a function which is used in Quantum mechanics it describes a peak of zero width but with area 1. Math AA SL IA: Graphing question. How all our digital communications are kept safe through the properties of primes. 38) Find the average distance between 2 points on asquare. Are maths students better than history students? 29) The Riemann Hypothesis one of the greatest unsolved problems in mathematics worth $1million to anyone who solves it (not for the faint hearted!). The syllabus comprises six topics, and students are externally and internally assessed. Does a high degree of association exist between BMI and GDP per capita? It should not be completely based on mathematics . I need help in Maths IA for HL maths. You can watch a short video on it here. In addition, before you begin writing your answer, you must agree to use the IB criteria. IB Computer Science IA Ideas Penjee Learn to Code. Thank you! Suitable forApplications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). 43)Narcissistic Numbers what makes a number narcissistic and how can we find them all? All videos at https://mrflynnib.comThis video shows how to make a quadratic from a video of a basketball shot. Goldbach?). can you please help me and give some guidance? 48) When do 2 squares equal 2 cubes? Fourier Transforms the most important tool inmathematics? 39) Zenos Paradox Achilles and the Tortoise A look at the classic paradox from ancient Greece the philosopher proved a runner could never catch a tortoise no matter how fast he ran. 27) Could Trump win the next election? 9)Optimization of area aninvestigation. 1. The general form of quadratic functions is as follows: From the video, we know 1) the maximum point in which the shuttle reached (2.44m) from the contact point's height, 2) the y-intercept (height of contact point, 2.22m), and 3) the intercept of paths and the line of y=2.22 (0.00m and 8.19m) (Figure 3). 10) Tangrams: Investigate how many different ways different size shapes can be fitted together. 2)How to Design aParachute looking at the physics behind parachute design to ensure a safe landing! 20) The Coastline Paradox how we can measure the lengths of coastlines, and uses the idea of fractals to arrive at fractional dimensions. You model a function based on data of a topic of your interest. Differentiation [SL and HL] 5B. Let's take a look at the criteria. Many students are scared stiff on its account, but you dont have to be. What is the average distance between 2 points in arectangle? Why does the twin paradox work? Brenda Wijaya 48 Posted January 30, 2014. Not sure whether to order Math IA or AA? Mathematics is the science of numbers and shapes. Its up to you! Can we use a mixture of pure maths and computing to solve this problem? Why does the house always win? Still feeling confused, or want some personalised help? AI SL: Old maths studies. 27)Volume optimization of acuboid how to use calculus and graphical solutions to optimize the volume of a cuboid. 15) Julia Sets and Mandelbrot Sets We can use complex numbers to create beautiful patterns of infinitely repeating fractals. Examine the ratios of frequencies between notes to see why some do not sound good together while others do. 39) Finding the average distance between 2 points on ahypercube. 5) Stacking cannon balls: An investigation into the patterns formed from stacking canon balls in different ways. So there we have it: 50 IB Maths IA topic ideas to give you a head-start for attacking this piece of IB coursework! How long would it take someone to try to guess someone elses password? Some classic physics which generates some nice mathematical graphs. 41) Arithmetic number puzzle It could be interesting to do an exploration where you solve number problems like this one. . concepts for the 2014 syllabus ensuring students develop a clear understanding of all the crucial topics at sl and hl ib maths aa sl past papers last 10 . 52) Have you got a SuperBrain? 20+ Math IA Topics for SL and HL Levels. In order to find a function of best fit, look for polynomial regression. 2) Is there a correlation between height and weight? 10) Is there a correlation between Premier League wages and league position? Internal . Your Math IA consists of 20 points distributed in: Communication, Mathematical Presentation, Personal engagement, Reflection, and Use of mathematics. 15) Birthday paradox: The birthday paradox shows how intuitive ideas on probability can often be wrong. A look at how uncertainty about the future might make people more risk-averse and how asymmetric information plays a role in this phenomenon. Determine the climber's fall severity by measuring the distance from the final point of connection. 18)Waging war with maths: Hollowsquares. One of our representatives will get back to you via your email for further assistance. 31) Modelling radioactive decay the mathematics behind radioactivity decay, used extensively in science. My new site has been designed specifically for teachers of mathematics at international schools. 13) The Watson Selection Task a puzzle which tests logical reasoning. All these at the best rates, so dont hesitate to give us your order. What kinds of numbers have the most bearing on a basketball team's success? Weve been writing IB Math IA assignments for over 5 years. 9) Polyominoes: These are shapes made from squares. __CONFIG_colors_palette__{"active_palette":0,"config":{"colors":{"eb2ec":{"name":"Main Accent","parent":-1}},"gradients":[]},"palettes":[{"name":"Default","value":{"colors":{"eb2ec":{"val":"var(--tcb-skin-color-4)","hsl":{"h":206,"s":0.2727,"l":0.01,"a":1}}},"gradients":[]},"original":{"colors":{"eb2ec":{"val":"rgb(57, 163, 209)","hsl":{"h":198,"s":0.62,"l":0.52,"a":1}}},"gradients":[]}}]}__CONFIG_colors_palette__, {"email":"Email address invalid","url":"Website address invalid","required":"Required field missing"}, __CONFIG_colors_palette__{"active_palette":0,"config":{"colors":{"f3080":{"name":"Main Accent","parent":-1},"f2bba":{"name":"Main Light 10","parent":"f3080"},"trewq":{"name":"Main Light 30","parent":"f3080"},"poiuy":{"name":"Main Light 80","parent":"f3080"},"f83d7":{"name":"Main Light 80","parent":"f3080"},"frty6":{"name":"Main Light 45","parent":"f3080"},"flktr":{"name":"Main Light 80","parent":"f3080"}},"gradients":[]},"palettes":[{"name":"Default","value":{"colors":{"f3080":{"val":"var(--tcb-skin-color-4)"},"f2bba":{"val":"rgba(11, 16, 19, 0.5)","hsl_parent_dependency":{"h":206,"l":0.06,"s":0.27}},"trewq":{"val":"rgba(11, 16, 19, 0.7)","hsl_parent_dependency":{"h":206,"l":0.06,"s":0.27}},"poiuy":{"val":"rgba(11, 16, 19, 0.35)","hsl_parent_dependency":{"h":206,"l":0.06,"s":0.27}},"f83d7":{"val":"rgba(11, 16, 19, 0.4)","hsl_parent_dependency":{"h":206,"l":0.06,"s":0.27}},"frty6":{"val":"rgba(11, 16, 19, 0.2)","hsl_parent_dependency":{"h":206,"l":0.06,"s":0.27}},"flktr":{"val":"rgba(11, 16, 19, 0.8)","hsl_parent_dependency":{"h":206,"l":0.06,"s":0.27}}},"gradients":[]},"original":{"colors":{"f3080":{"val":"rgb(23, 23, 22)","hsl":{"h":60,"s":0.02,"l":0.09}},"f2bba":{"val":"rgba(23, 23, 22, 0.5)","hsl_parent_dependency":{"h":60,"s":0.02,"l":0.09,"a":0.5}},"trewq":{"val":"rgba(23, 23, 22, 0.7)","hsl_parent_dependency":{"h":60,"s":0.02,"l":0.09,"a":0.7}},"poiuy":{"val":"rgba(23, 23, 22, 0.35)","hsl_parent_dependency":{"h":60,"s":0.02,"l":0.09,"a":0.35}},"f83d7":{"val":"rgba(23, 23, 22, 0.4)","hsl_parent_dependency":{"h":60,"s":0.02,"l":0.09,"a":0.4}},"frty6":{"val":"rgba(23, 23, 22, 0.2)","hsl_parent_dependency":{"h":60,"s":0.02,"l":0.09,"a":0.2}},"flktr":{"val":"rgba(23, 23, 22, 0.8)","hsl_parent_dependency":{"h":60,"s":0.02,"l":0.09,"a":0.8}}},"gradients":[]}}]}__CONFIG_colors_palette__. 38) Modelling a football season. Basic Calculus SL and HL 9 HL only 10 Topic 5: Calculus SL and HL 11 HL only 11. Study the numbers behind the processes of heredity and natural selection. How well you do that and present your process determines how many marks out of the total 20 you will receive. You can even use mathematical writing as a tool in problem-solving. As you can deduce, the IB math internal assessment is all about exploring mathematically a subject of personal interest. Anscombes Quartet the importance ofgraphs! Being able to easily compare and contrast is a vital skill. Proper structure must be given to your IA. The mathematics internal assessment is about exploring the math behind a topic of interest, then presenting the whole thing in the form of a short thorough report. . The Maths behind blockchain, bitcoin, NFT (Part2), The mathematics behind blockchain, bitcoin andNFTs, Finding the average distance in apolygon, Finding the average distance in an equilateraltriangle. Mathematics, IB Mathematics Examiner). 20) Twin primes problem: The question as to whether there are patterns in the primes has fascinated mathematicians for centuries. Even though many of these topics led to high scores for some of our graduates in the past, it is important that you listen to the advice of your subject teacher before choosing any topic! Use Google Finance to collect data on company share prices. Comment (thoughtfully), but avoid paraphrasing the results. You can download from here. 21) Using Chi Squared to crack codes Chi squared can be used to crack Vigenere codes which for hundreds of years were thought to be unbreakable. It is difficult to be prescriptive about mathematical writing. Internal assessment in mathematics SL is an individual exploration. Mathematics: analysis and approaches SL Mathematics: analysis and approaches HL Mathematics: applications and interpretation SL Mathematics: applications and interpretation HL Students can only study one course in mathematics as part of their diploma. What's the deal with adding symbols and digits to a password? 7) Quantum Mechanics a statistical universe? These are the same qualities your topic should have: With the goal in mind, it's time to look into the process that precedes choosing a perfect math IA topic. We know that our topic has to be somewhat related to the syllabus, but where should we focus? The Calculus topic has the most number of suggested teaching hours of the five syllabus topics: 28 hours for SL (just one hour more than the Statistics & Probability topic at SL) and 55 hours for HL (4 hours more than the Geometry & Trigonometry topic at HL). Math Project Ideas Examples of Project Based Learning. Use Tracker software to create a Sine wave. Applying the mechanics of fast-moving spacecraft to the problem of interstellar travel. Create a virtual version of the disaster at Chernobyl and its subsequent effects on Japan. Also look at the finances behind Premier league teams. You must make explicit comparisons and contrasts to earn a 7 in IB English HL and SL. Here are some ideas for IAs off the top of my head: 1) Finding the optimal volume of a cylindrical can given constraints such as material costs and what not. How can we use computers to gain a deeper understanding of sequences? 19) Natural logarithms of complex numbers. On the other hand, Id quite enjoy reading (or writing?) 37) Mathematical proof and paradox a good opportunity to explore some methods of proof and to show how logical errors occur. What an odd shape, you think (a hyperboloid, if youre wondering). Applications of differentiation; Weaving a Spider Web II: Catchingmosquitoes, Getting a 7 in Maths ExplorationCoursework. Let us take the IB internal assessment nightmare away from you and write the essay for you. Quantum Mechanics a statistical universe? Hi! From the basic principles through to optimisation and beyond for HL students. Most math gurus insist that math is not just an abstract subject. 23) Modelling music with sine waves how we can understand different notes by sine waves of different frequencies. Find out if there's a correlation between music and fractions, or see if this series converges. love this! 1b) The shape of the universe non-Euclidean Geometry is at the heart of Einsteins theories on General Relativity and essential to understanding the shape and behavior of the universe. 22) Investigation into the distribution of word lengths in different languages. Then scale it on geogebra and take note of the coordinates. How do normal numbers fare when compared to random number generators? Length of a curve on a surface: Explore the length of a curve on a surface using Calculus. We can use a matrix representation of complex numbers to test whether Eulers identity still holds. 3) Gamblers fallacy: A good chance to investigate misconceptions in probability and probabilities in gambling. 9) Designing bridges Mathematics is essential for engineers such as bridge builders investigate how to design structures that carry weight without collapse. Once you have chosen your topic, you may want to check out our other posts on how to structure and format your Maths IA or how to write your IA. 5A. I found that many firms are using packaging as their major marketing strategy mainly the firms that are dealing in the food and beverage industry. . Unleash your inner spy! This is the requirement for "Communication" on the math IA. Modeling statistics is a pretty broad concept for an IA, but it can refer to any project where a change in statistics is presented in a visually effective manner. Fill in your details below or click an icon to log in: You are commenting using your WordPress.com account. To make matters worse, on top of just doing the dreaded maths exam, were also expected to write a Maths IA exploration into a topic of our choice! Look at some of the maths (and psychology behind winning this game. 51) Complex numbers as matrices Eulers identity. The research project focuses on: How Can I Improve My Jump Float Serve in Volleyball Through Use of Quadratics and Calculus? How do you even choose a topic? A great introduction to some of the ideas behind non-euclidean geometry. 42) The Martingale system paradox. Hello, I want help in math aa IA. A chance to look at some statistics with surprising results. Using the physics of travel near the speed of light to see how we could travel to other stars. I am not really sure where to start for this IA. Share Followers 0. 6) Handshake problem: With n people in a room, how many handshakes are required so that everyone shakes hands with everyone else? 25 Unique Math IA Ideas Arc lengths from integration techniques 6) Square Triangular Numbers. Maths IA - Maths Exploration Topics: Scroll down this page to find over 300 examples of maths IA exploration topics and ideas for IB mathematics students doing their internal assessment (IA) coursework. 4) Genetics Look at the mathematics behind genetic inheritance and natural selection. Topic 5: Calculus. 29) Classical Geometry Puzzle: Finding theRadius. 50) Square triangular numbers. Change), You are commenting using your Facebook account. The Definitive Guide to Choosing the Best IB Mathematics IA Topics, IB Math AA vs IB Math AI: Heres How the Subjects Compare, IB History IA Sections: A Guide for IB Diploma Students, IB History IA Referencing: A Guide for Students, IB History IA Concepts: 6 Key Concepts Explained, How to Work on Your IB History IA Section 1, How to Get a 7 in IB English IA (Internal Assessment), 7 Key Concepts in English A: The Complete List Explained, English Literature Internal Assessment: The Complete Guide, IB English A Individual Oral: The Complete Guide for Students, Exploring Mathematics As An Area of Knowledge in TOK Essays, History as an Area of Knowledge in TOK Curriculum, Natural Sciences as an Area of Knowledge in Theory of Knowledge (TOK), Understanding Human Sciences as an Area of Knowledge in TOK Writing. Trigonometry and Pre Calculus The Math Forum Math Library Web Interactive Java May 6th, 2018 - The Math Forum s Internet Math Library is a comprehensive catalog of Web sites and Web pages relating to the study of mathematics This page contains sites relating to Web Interactive Java Challenging Problems in Geometry Dover Books on I need help in finding a topic about my math IA, I'm interested in the statistics and probabilities of winning a sneaker raffle. 11) Projectile Motion InvestigationII. We've updated this guide with 30+ topic ideas in Math IA for SL and HL levels for inspiration. I need help in deciding my IA topic. Using the SIR model to understand epidemics. 1) Modular arithmetic This technique is used throughout Number Theory. Is there a correlation between height and weight? Essential knowledge for future astronauts. 4)Rocket Science and Lagrange Points how clever mathematics is used to keep satellites in just the right place. Playing around with multiplicative persistence can you break the world record? (LogOut/ A UK study showed that primary school girls play much less sport than boys. 16) Are we living in a computer simulation? By Brenda Wijaya, January 30, 2014 in Maths SL. I am interested in cars, technology, and cricket. 3)Stacking cannonballs solving maths withcode how to stack cannonballs in different configurations. . I am interested in cooking so please tell me something related to it. (LogOut/ Hi, I would like to engage Mr. Anthony W for IB IA topic for Math AA HL for my son. I need a math IA topic that is related to statistics and could include something that is easy to find data for. Math, Calculus, Share this link with a friend: Copied! SL Math IA on using calculus and quadratics and volleyball. 2) Torus solid of revolution: A torus is a donut shape which introduces some interesting topological ideas. Suitable forApplications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL). Change), You are commenting using your Twitter account. personal interest. It has real and effective links to the real world, and that is what the whole point of the internal assessment is. 24) Are you psychic? Generating e through probability andhypercubes, Find the average distance between 2 points on asquare, Finding the average distance between 2 points on ahypercube, Chaos and strange Attractors: Henonsmap. 10) Modelling epidemics/spread of a virus. Look at the inherent probabilistic nature of the universe with some quantum mechanics. Here you will find information about the Math HL courses. IB HL Paper 3 Practice Questions ExamPack, Complex Numbers as Matrices: EulersIdentity, Sierpinski Triangle: A picture ofinfinity, Follow IB Maths Resources from Intermathematics on WordPress.com. 4) Is there a correlation between smoking and lung capacity? Check out these sample IAs. Here is a list of 25 possible topics that serve as great math IA ideas. The gravitational attraction of other things in space causes the orbits of planets and comets to be elliptical. 26)Plotting the MandelbrotSet using Geogebra to graphically generate the Mandelbrot Set. 1) The prisoners dilemma: The use of game theory in psychology and economics. I stuck in choosing the best topic inline with the 3D shapes, for my exploration . Use the binomial distribution to test your ESP abilities. However, it is observed that the daily return predicted by the model is close to the actual return i.e. Dont panic weve got you covered. Give us the email address you use to log in to Lanterna and well send you instructions for resetting your password. . Also, avoid writing lengthy accounts of your own experiences. The time needed to crack a password 2. IA Math AA SL 6 Plastic Water Bottle: Finding Surface Area, Volume and Possible Optimal Shape IA Math AA SL 7 Exploring the mathematical harmony of Beethoven's Music IA Math AA SL 5 A MATHEMATICAL APPROACH TO OPTIMIZING BLOOD VESSEL BRANCHING IA Math AA SL 7 The Influence Body Fat and Lean Mass has on one's Vertical Jump.

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