By following this tried and tested structure for your math IA, each student will be able to present their findings consistently and optimally. Can you find the pattern behind it? Similarly, it could be that the third gap is double the first or second gap. 18)Waging war with maths: Hollow squares. Registration confirmation will be emailed to you. Explores unfamiliar maths and devises own approach to area under curve. In this mathematical exploration, the students attempts to study the mathematical relationship of notes within chords inn harmony and discordant chords. Equation 3: y=sin(698.46/440x)(Incorrect value(698.46) compared with the table) For example, to find how fast the distance between two cars increases, if we know the speeds of two cars that travel away from a 90-degree intersection, we will use the related rates model. Equation 3: y=sin(739.99/440x) What is a mathematical model used for? 32) Soap Bubbles, Wormholes and Catenoids. How fast are the car and driver going when the driver stops pushing the gas pedal to the floor? 5 Geometry. What does the future hold? 28) Ford Circles how to generate Ford circles and their links with fractions. To calculate the car and driver's final speed, all that is left to find is their initial speed, and since the car and driver begin at rest, {eq}v_i = 0 {/eq} m/s. So lets say you decide to assess Lewis Hamiltons speed at a certain velocity of a given time. 67 lessons. {eq}A = 25 * 55 = 1375 {/eq} square feet. Lost your password? This is an nice example of how you can investigation optimization of the area of different polygons. The ratio of the gaps is now 2:3:5. The IB is measuring relevancy by checking that you only included maths that is directly intended to answer the research question. 11) Zenos paradox of Achilles and the tortoise: How can a running Achilles ever catch the tortoise if in the time taken to halve the distance, the tortoise has moved yet further away? Explore this famous number theory puzzle. 52) Have you got a Super Brain? The Toast problem: If there is a room of some number of people, how many toasts are necessary for everyone to have toasted with everyone? (This topic is only suitable for IB HL students). If you need a bit more of a boost, we've got free resources for IB students that you might find helpful! By submitting this form, I agree to the data entered being used by Nail IBNSW for sending Physical Models Overview & Examples | Scale & Life-Size Models, Using Nonlinear Functions in Real Life Situations. So they have data on very many variables and it may be worthwhile to check on them. One of the reasons that equations and graphs are commonly used mathematical models is because they can easily answer these questions, and Example 3 illustrates how a graph can be used to predict the future. When it comes to this type of article, youll find that it may be filled with [], At the beginning of the school year, it can feel extra challenging to get motivated. We are available: Mon-Fri 9am-7pm CESTSat 10-5pm CESTSun 12-5pm CEST. The approximate ratio for this chord shows that the ratio is not as precise, This evidence would suggest that notes which are traditionally considered to be in harmony are mathematically neater than those that are not in harmony. 6. How many different ways can we use to solve a number theory problem? 5 Algebra and number. Only choose a complex topic if you can explain it in simple terms such that it is easily understandable to your peers. Predict how the water is going to come out the cylinder. Sample Math IA. How did Galileo achieve his breakthrough understanding of gravity? I decided to use Middle A(A. 2) Hexaflexagons: These are origami style shapes that through folding can reveal extra faces. Linear Model Equation & Examples in Real-Life | What is a Linear Model? Do not simply place these simply as appendices at the end of the essay - they should be fully and clearly labelled to ensure that the examiner knows what you've included and why. How can we use computers to gain a deeper understanding of sequences? 8) Change in a persons BMI over time There are lots of examples of BMI stats investigations online see if you can think of an interesting twist. Request this IA to be marked. Katherine has a bachelor's degree in physics, and she is pursuing a master's degree in applied physics. This problem asks you to explore a sliding ladder. The frequency ratios in this chord appear to be neatly spaced, with the third gap in the chord equalling the sum of the first 2 gaps in the chord. = -1/12 ? 19) The Barnsley Fern: Mathematical Art how can we use iterative processes to create mathematical art? I wanted to make the sound wave of this note equal to the sine wave, which meant making 220Hz equivalent to ( typing error). ~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). It's wise to form your own opinions based on substantive evidence. This means, that perhaps in the future music can be created entirely mathematically. These insights are from teachers and the IB itself. 14) Methods for solving differential equations Differential equations are amazingly powerful at modelling real life from population growth to to pendulum motion. 1678+ Video tutorials, 1226+ PDF IB Resources, 195+ Sample IAs, 148+ EEs, 8777+ Sample questions, 653+ quizzes, IB Subject to the conditions provided for by applicable Because the three distances are changing in time, they are functions of t. Differentiate for t the relation obtained above. 25) Eulers 9 Point Circle. Although students tend to focus on the complexity of math that their exploration demonstrates, a full 4 points are rewarded for the clarity of your explanations and structure. Try to plot the locus of a sliding ladder. Lets take a look at the criteria for your Math IA. Financial Mathematics Equations & Problems | What is Financial Mathematics? This chord, however, has 3 notes, so it can be more easily compared to the other chords I have looked at. The mathematics of deceit: How con artists use pyramid schemes to get rich quick! Analysing Data: In the 200 meter dash, is there an advantage to a particular lane in track? The following graph demonstrates how this chord travels through the air: Equation 1: y=sinx 5. For example, our chosen problem of the nuclear reactor exhaust steam funnels could be confined to modeling the hyperboloid shape of the cooling towers and start from there. Solving math word problems. 39) Finding the average distance between 2 points on a hypercube. Login length need to be from 3 to 40 characters, Password length need to be from 8 to 40 characters. All rights reserved. 6) Handshake problem: With n people in a room, how many handshakes are required so that everyone shakes hands with everyone else? 18) Hyperbolic geometry how we can map the infinite hyperbolic plane onto the unit circle, and how this inspired the art of Escher. If you want some personalized help, kindly reach out to us at esquirewritings@gmail.com. 12) Four colour map theorem a puzzle that requires that a map can be coloured in so that every neighbouring country is in a different colour. Can we find a function that plots a square? Personal connection and engagement with the subject matter are key. To extend this investigation, I would like to look at the area between the waves in relation to the semitone difference and frequency ratios. Choose your own pattern investigation for the exploration. 5) Elliptical orbits Planets and comets have elliptical orbits as they are influenced by the gravitational pull of other bodies in space. All of these topics are applicable for the Math SL and HL students. Again using an A chord, I have modeled a minor chord and looked at its features. 3) Stacking cannonballs solving maths with code how to stack cannonballs in different configurations. 17) Chinese remainder theorem. 36) Sierpinski triangle an infinitely repeating fractal pattern generated by code. Instead of comparing means, youll be comparing proportions. The IB is all about learning, so be sure to show the marker your growth throughout the IA. Coverage: Calculation of rate of deforestation, and afforestation. While there are different perspectives when it comes to formatting your maths IA, we recommend the steps outlined below. An equation writes the relationship between quantities, and a graph is a visual representation of that relationship. Figure 2: Use the length and width for each basement to find each area. 10) Is Intergalactic space travel possible? 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. What is the next best alternative if this is not viable? G,m m0Z-d_u`aVO*']SFgC\xzzCDlr.2"} V#JTwDNty^~(Tbt.V90n _*}HD]fu-U\75bJ;L.k|>MUYgog3K Modelling COVID 19 using SIR Model. This chord is also known as The Devils Chord, as it is considered to be the most the unpleasant sounding chord in music. Maths and Time: Exploring ideas regarding time dilation. Use Figure 2 and help the poor agent pick which house has a basement that will work. Your email address will not be published. 10) Pythagorean triples: A great introduction into number theory investigating the solutions of Pythagoras Theorem which are integers (eg. IB Math IA Examples and Ideas IA Idea 1 - Modeling Statistics 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. For this reason, this theory does not only apply to sound coming to electronic instruments but every kind of instrument. Then you found out the difference between the proportions of three point shots vs two point shorts. . JOIN FOR FREE. Example 1: Use the kinematic equation {eq}v_f = v_i + at {/eq} where {eq}v_f {/eq} means final velocity, {eq}v_i {/eq} means initial velocity, a stands for acceleration, and t stands for time to answer the following question: A race car driver sits at the starting line. So there we have it: 50 IB Maths IA topic ideas to give you a head-start for attacking this piece of IB coursework! Playing around with multiplicative persistence can you break the world record? 43) Narcissistic Numbers what makes a number narcissistic and how can we find them all? endobj The examiner will be looking at the quality of the idea and the body of work in relation to the assessment criteria. , youll be comparing proportions when it comes to formatting your maths IA topic math ia modelling example... Has 3 notes, so be sure to show the marker your throughout! If you want some personalized help, kindly reach out to us esquirewritings... However, has 3 notes, so it can be more easily compared to the other chords I modeled. ) Pythagorean triples: a great introduction into number theory investigating the solutions Pythagoras... Connection and engagement with the subject matter are key endobj the examiner will be able to present findings... 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