What conclusions did you reach, and did you succeed in exploring the aim that you set out at the beginning of the Math IA! I also would have liked to try to find a mathematical formula connecting the number of semitones to the frequency ratios. The chain rule and differentiation rule of polynomials. Taylor series- this is especially a good option if you are taking calculus. An equation writes the relationship between quantities, and a graph is a visual representation of that relationship. 7) Quantum Mechanics a statistical universe? A model in math can be different depending on the type of model or what the model is describing, and some of the uses of mathematical models are: An error occurred trying to load this video. They have data and different comparisons that may be great for you. These datasets can easily be found on Gapminder. 10) Mathematical card tricks investigate some maths magic. She currently teaches struggling STEM students at Lane Community College. 3) Chinese postman problem This is a problem from graph theory how can a postman deliver letters to every house on his streets in the shortest time possible? By year three, the population is almost 300,000. The ratio of the gaps is now 2:3:5. Can we extend our investigation above to a multi-dimensional cube? This mathematical equation has been described as the most important in all of physics. You need to know what will be in the y-axis and what will be in the x axis so this can be something like a velocity time graph. These waves look very similar to the major chord waves, as only one note has changed; the C# has gone down by a semitone. ~gv;pg9;{eF4"_=}GiRpfg)ZS-7q-25+0Zj9Ga!Q }?Vr / =\KV^vn519= r>W3?iLLJN3==TGfbFx( {t,AcmXEHf*0|%]x#Y/5Ia'r0?v>c-orGysxuJ.OFCQeG`n)CC Q`;|':OO/Vk!&rgXC`ERY). So there we have it, a well organized exploration of the idea and IB layout of your Mathematics IA! dS/dt = -2.14 I S. dI/dt = 2.14 I S - 0.14 I. dR/dt = 0.14 I. 30) Time travel to the future: Investigate how traveling close to the speed of light allows people to travel forward in time relative to someone on Earth. 31) Grahams Number a number so big that thinking about it could literally collapse your brain into a black hole. with current laws and regulations, you can unsubscribe at any time by clicking on the link in It is a great place to show your personal engagement with the topic youve chosen for your IA. All of these topics are applicable for the Math SL and HL students. The ratios of frequencies of chords in harmony are more concise(B. How big would the length of the basement have to get so that the area satisfied the client? stream Using the physics of travel near the speed of light to see how we could travel to other stars. 5 0 obj Looking at Figure 2, basement 1 has a length of 25 ft and a width of 55 ft so. 16 Math IA Ideas Exploration into Modelling a Population Pyramid (19/20) Share. Linear regressions: Run linear regressions using OLS to predict and estimate the effect of one variable on another. Start with the IA format! This problem asks you to explore a sliding ladder. << /Length 5 0 R /Filter /FlateDecode >> It needs to be independent and unique. 13 40 Mathematics Internal Assessment Ideas. Financial Mathematics Equations & Problems | What is Financial Mathematics? However, to test this theory properly, we need to look at chords that differ from the original major chord more dramatically. Optimizing volumes: Explore the mathematics of finding a maximum volume of a cuboid subject to some constraint. 7) Explore the Si(x) function a special function in calculus that cant be integrated into an elementary function. Topics that rely more on natural sciences such as physics and put less emphasis on Math. 13) Telephone Numbers these are numbers with special properties which grow very large very quickly. How long will our forests last? Its like a teacher waved a magic wand and did the work for me. Investigate some rocket science! If you find yourself struggling with anything from finding a topic to writing your evaluation, here are the answers to 5 of the most frequently asked questions about the econ IAs, answered by expert IB graduates. 6 0 obj . Equation 2: y=sin(587.33/440x), Equation 1: y=sinx It covers what mathematical modeling is as well as different types of models in math. Many branches of math and science use mathematical modeling, and equations and graphs are not the only types of math models. 19) Elliptical Curves how this class of curves have importance in solving Fermats Last Theorem and in cryptography. The gaps in the ratios do not directly relate to the difference in semitones, as the semitones do not have equal frequencies-the frequencies of semitones diverge as the frequencies increase, and the notes get higher in pitch. ie 6 is a perfect number because 1 + 2 + 3 = 6. Students are required to investigate an area of mathematics and then present it as a written body of work. 6) Square Triangular Numbers. These statistical analyses and plots model the input data and allow the researcher to understand different attributes of the data set. Mathematical Card Tricks: Look at the probabilities at play in the famous 3 card monte scam. Minor chords are also considered to be in harmony. 35) Fermats Theorem on the sum of 2 squares An example of how to use mathematical proof to solve problems in number theory. A post which looks at the maths behind this particularly troublesome series. Equations are one form of mathematical modeling, and the physical kinematic equations relate velocity, distance traveled, acceleration, and time. It solves about 90% as many problems as real kids: a small sample of 9-12 year olds scored 60% on a test from our dataset, while our system scored 55% on those same problems. 23) Perfect Numbers: Perfect numbers are the sum of their factors (apart from the last factor). 16) Eulers identity: An equation that has been voted the most beautiful equation of all time, Eulers identity links together 5 of the most important numbers in mathematics. However, there is not necessarily a difference in chords that are in harmony and discordant chords. 1) The harmonic series: Investigate the relationship between fractions and music, or investigate whether this series converges. 13) Different number systems Learn how to add, subtract, multiply and divide in Binary. Investigate what makes a number happy or sad, or sociable! Subscribe and get the latest IB guides, notes,news, tips and product updates. 11 Math and computing. Predict how the water is going to come out the cylinder. 9) Coding Hailstone Numbers. IA. I decided to use Middle A, I altered the wavelengths, or frequencies, of the graphs by changing the coefficient of x. stream How can we find the area of any polygon? An Augmented 6th is also known as a dominant 7th, which was one of the first discordant chords to be used in music in the West. 4) Tesseract a 4D cube: How we can use maths to imagine higher dimensions. We are available: Mon-Fri 9am-7pm CESTSat 10-5pm CESTSun 12-5pm CEST. This takes the usual projectile motion ideas and generalises them to investigate equations of ellipses formed. 2) Step two is to calculate the area of basement 2 which has a length of 50 ft and a width of 35 ft. Equation 3: y=sin(659.26/440x) 5) Project Euler: Coding to Solve Maths Problems. This chord is also known as The Devils Chord, as it is considered to be the most the unpleasant sounding chord in music. The poor mayor does indeed have a problem! The mathematics of deceit: How con artists use pyramid schemes to get rich quick! One travels north at 40 km/h, and the other travels east at 30 km/h. 13 chapters | How many different ways can we use to solve a number theory problem? Why do magic squares work? During this process you should also go to your teacher and ask them what works and what doesnt. Revision Courses: These offer a helping hand when it matters the most to boost your grades! 49) Rational approximations to irrational numbers. 408 Erroneous notation, it should be 554.37x/440) I altered the wavelengths, or frequencies, of the graphs by changing the coefficient of x. Graphs not related to tables). An interesting topic can also stem from liking a particular topic of subject in math such as calculus and then you can find something in relation to even Formula 1 or a real life situation that involves calculus. 4 0 obj Familiarise yourself with the steps below, and then dive into your chosen topic. Minor chords are also considered to be in harmony. It forms an essential part of your research and shows that you fully understand the examples you have included in your analysis. promotional emails that we send to you. Create your account. Find out! Again using an A chord, I have modeled a minor chord and looked at its features. This may indicate the start of a pattern. Equation 1: y=sinx With these Topics ensure that you are not heavily reliant on the Physics aspect; put more emphasis on Mathematics. 7) Fibonacci sequence and spirals in nature There are lots of examples of the Fibonacci sequence in real life from pine cones to petals to modelling populations and the stock market. Equation 4: y=sin2x, (A. the Understanding What Math IA is All About Students are required to investigate an area of mathematics and then present it as a written body of work. There has been a recent breakthrough in this problem. Browse thousands of Internal Assessment, Extended Essay, and TOK examples. 6) Continued fractions: These are fractions which continue to infinity. 12) Magic squares and cubes: Investigate magic tricks that use mathematics. << /Length 11 0 R /N 1 /Alternate /DeviceGray /Filter /FlateDecode >> endstream 36) Can we prove that 1 + 2 + 3 + 4 . You can try and figure out average sleep and compare it with the grades and work outputs. 3) Galileo: Throwing cannonballs off The Leaning Tower of Pisa Recreating Galileos classic experiment, and using maths to understand the surprising result. Gain a deeper understanding of chaos theory with this investigation. Monty Hall problem: How does Bayesian probability work in this real-life example, and can you add a layer of complexity to it? You should do some research before you embark on this Math IA Idea and learn everything you need to know. The ratio of the gaps is 1:1:2. Are there functions which plot any polygons? . 6) Handshake problem: With n people in a room, how many handshakes are required so that everyone shakes hands with everyone else? Probability: Are Oxford and Cambridge biased against state-school applicants? 10 Topology and networks. 1, Models for the height of water in a cylindrical container. All rights reserved. Can you find the pattern behind it? Try refreshing the page, or contact customer support. Middle School Life Science: Homework Help Resource, Middle School Life Science: Tutoring Solution, Middle School Earth Science: Homeschool Curriculum, Prentice Hall Conceptual Physics: Online Textbook Help, Middle School Earth Science Curriculum Resource & Lesson Plans, Prentice Hall Chemistry: Online Textbook Help, GACE Biology (526): Practice & Study Guide, AEPA Middle Grades General Science (NT204): Practice & Study Guide, MTTC Integrated Science (Secondary) (094) Prep, Holt Science Spectrum - Physical Science with Earth and Space Science: Online Textbook Help, NES Middle Grades General Science (204) Prep, ScienceSaurus Student Handbook Grades 6-8: Online Textbook Help, Create an account to start this course today. Equation 3: y=sin(659.26/440x) 29) The Riemann Hypothesis one of the greatest unsolved problems in mathematics worth $1million to anyone who solves it (not for the faint hearted!). Using x'(t)=30, y'(t)=40 and the distance of each car after two hours, we obtain: 4. 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. Use Figure 2 and help the poor agent pick which house has a basement that will work. Explore this fascinating physics phenomenon through the world of sequences and series. So there we have it: 50 IB Maths IA topic ideas to give you a head-start for attacking this piece of IB coursework! See It's wise to form your own opinions based on substantive evidence. Again using an A chord, I have modeled a minor chord and looked at its features. When the gun fires, she fully accelerates at 80 {eq}m/s^2 {/eq} for 10 seconds. Finally, zoom out and think about the further implications of your study. Doc Preview. In order to score in the top range here, make sure your IA is clearly structured. Using trignometric graphs but nothing is done with them. Optimizing areas: Optimizing the area of a rectangle is easy, but can you find a way to do it for any polygon? Relationships: Do BMI ratings and country wealth share a significant relationship? Investigate how binary is used link to codes and computing. Two variable function . Mathematical modeling numerically describes the world. << /Type /Page /Parent 3 0 R /Resources 6 0 R /Contents 4 0 R /MediaBox [0 0 612 792] 47) Hollow cubes and hypercubes investigation. I will now look at different chords to see if this conjecture holds true. This client is so picky that unless the basement has exactly 1750 square feet he absolutely will not buy the house. Limited understanding of notes played together), Equation 1: y=sinx You fully understand the examples you have included in your analysis and looked at its features the. This class of Curves have importance in solving Fermats Last Theorem and in cryptography add a layer complexity! 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