Math sl ia examples

Mathematics Standard Level IA Word count: November 5, 2019 1 Introduction 3 Development of Mathematical Ideas 4 Application 8 Methodology 11 Bibliography 15 2 Introduction After studying Derivatives and Integration as a topic in Mathematics Standard Level, I found myself interested in finding out more about Newton's Cooling Law and finding a correlation between the cooling of a cup of tea ...

Math sl ia examples. A binomial distribution is a discrete probability distribution. A discrete random variable follows a binomial distribution if it counts the number of successes when an experiment satisfies the following conditions: There are a fixed finite number of trials (n) The outcome of each trial is independent of the outcomes of the other trials.

Mathematics: analysis and approaches and mathematics: applications and interpretation. Paper component: Internal assessment, standard level (SL) and higher level (HL) Student work (PDF) Annotated student work (PDF) Examiner's comments coversheet (PDF) List of examples. Example 5: Social media. 8 Mathematics assessed student work. Student work ...

Scroll down this page to find over 300 examples of maths IA exploration topics and ideas for IB mathematics students doing their …www.ibmathematics.orgNotes & Files. Mathematics. Sample SL Internal Assessments. Math SL IA. IB Survival is now part of Lanterna Education.Posted December 6, 2016. a) is a good starting point for you to start doing some research and explore your topic in detail. If a) does not work and is limited in the mathematics, then you can approach the more broader b). You can think more about structural of IA once you have a draft done.The student has organized their work effectively by dividing it into sections and further subdividing the body to clearly indicate phases of exploration. The topic of the Internal Assessment is stated clearly and explained in the introduction, although the outline of the mathematics used in the exploration is missing.MATH IA GUIDE 2 [email protected] ... AI SL/HL, Maths AA SL/HL, Maths HL, or Maths SL! Let's take a look at the criteria. As with all IA's, the best thing you can do ... A great example of this would be the following. You are an avid football player, and your passion for the game is a large part of your life. You choose to write a ...Physics IA Ideas: Quantum and Nuclear Physics. Determine the spacing between the planes in the atomic lattice of graphite, using the de Broglie Relationship; Determine the work function of a given metal; Physics IA Ideas: Engineering Physics. How does the density of an object fully immersed in water affect the time take to reach equilibrium ...The Math AI IA is a report of how you can apply your learnings from the Math AI course into exploring a topic of your choice. Cooking, sports, architecture, finance — this topic can be anything that interests you, and it is a chance to explore the math behind it in a guided way. The Math AI IA is worth 20% of your total course grade in Math AI.

Are you preparing for your IB maths exams? We've got you covered! OSC Study features exams created by IB experts in mathematics, showing you every step of ev...IB Physics IA ideas. As you increase the concentration of a reactant (or the pressure of a gaseous reactant), the rate of reaction increases as the reacting particles are closer together resulting in more collisions. The extent to which the rate increases depends on the order of reaction with respect to each reactant.Source: IB Mathematics Applications and Interpretation Guide. Criterion A: Communication (4 marks) - This refers to the organisation and coherence of your work, and the clarity of your explanations. The investigation should be coherent, well-organized, and concise. Criterion B: Mathematical Presentation (4 marks) - This refers to how well you use mathematical language, including notation ...Jun 2, 2021 · Use tab to navigate through the menu items. Zain Asif. Jun 2, 2021. 7 min read. How I got a 7 in the IB Maths IA 🙌. This is a complete guide to the Mathematics AA and AI Internal Assessment. Follow these steps to ensure your IA meets a high standard. Table of Contents. Big Takeaway: Methodology First, Topic Second. MATH IA GUIDE 2 [email protected] ... AI SL/HL, Maths AA SL/HL, Maths HL, or Maths SL! Let's take a look at the criteria. As with all IA's, the best thing you can do ... A great example of this would be the following. You are an avid football player, and your passion for the game is a large part of your life. You choose to write a ...SL and HL 2 HL only 2 Topic 1: Number and algebra SL and HL 3 HL only 4 Topic 2: Functions ... Topic 4: Statistics and probability SL and HL 9 HL only 10 Topic 5: Calculus SL and HL 11 HL only 11. Mathematics: applications and interpretation formula booklet 2 . Prior learning – SL and HL ... Sample statisticsThe internal assessment requirements at SL and at HL is an individual exploration. This is a piece of written work that involves investigating an area of mathematics. It is marked according to five assessment criteria. Guidance and authenticity The exploration submitted for internal assessment must be the student's own work. However, it is ...

The student has organized their work effectively by dividing it into sections and further subdividing the body to clearly indicate phases of exploration. The topic of the Internal Assessment is stated clearly and explained in the introduction, although the outline of the mathematics used in the exploration is missing.Posted January 21, 2016. Whilst I believe real life data collection may help with personal engagement, I don't believe it'll be too much of a problem in the Maths IA. There are same cases in which you really can't get data. You do need a reason you're doing whatever you're doing, but more often than not, I believe people make it up, which isn't ...Notes & Files. Mathematics. Sample SL Internal Assessments. SL Math IA. IB Survival is now part of Lanterna Education.Knowing this can help allocate families to each school or help to make modifications as the population numbers in different areas increase, or decrease, over time. The above are just two examples of the wide range of applications of Voronoi diagrams. The key concept to understand behind this process is the " perpendicular bisector " - a line ...This is my IB maths IA for November final exams 2021. Exemplars. Review. Login. JOIN FOR FREE. Share. Bookmark Download. View Mark Scheme. IA. Math AI - SL. 4 (Breakdown) Examiner's summary. Criterion A [2/4]:The student's work is divided into sections, with the body further divided to indicate clear phases of the exploration. The topic of the ...

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Group 5. Does anyone have sample maths SL IAs of modelling infectious diseases with the SIR model? preferably with a note of what grade it got too. Thanks.by other teachers. Teachers can provide details of useful resources, for example websites, books, videos, journals or teaching ideas. Acknowledgment. The IB wishes to thank the educators and associated schools for generously contributing time and resources to the production of this guide. First assessment 2021 Introduction. Purpose of this documentGroup 5. Hello! I've been having difficulty choosing a topic for my math IA but finally decided on something related to cycloids. I plan to model a cycloid and explore the brachistochrone problem, something im sure have been done many times but I thought in order to improve upon the P.E that I'd relate it to fermats principle.Math HL IA Type 1 - Patterns within a system of linear equations. Received 19/20 prior to moderation. Not sure what happened to it afterwards, but a 7 for math overall. Submitted January 5, 2013.Can Artificial Intelligence (Chat GPT) Get a 7 on an SL Maths paper? ChatGPT is a large language model that was trained using machine learning techniques. One of the standout features of ChatGPT is its mathematical abilities. It can perform a variety of calculations and solve equations. This advanced capability is made possible by the...

Click the document below for a full list of example IA's provided by IB. IA Examples Document from IB: TABLE OF CONTENTS FOR EXAMPLES mathematics-assessed-student-work- ... E6—Areas of sectors using radians and descriptive statistics are commensurate with the mathematics SL course, and are done well enough at achieve level 6. poppy0503. Hey! I actually just handed my math IA in and I did it on a very similar topic - GDP and average BMI. I'm also doing AI SL and my teacher suggested I do linear regression, PMCC, Spearman's, and then a chi-squared test. I'm not sure if this is of any help but I did all of this and my teacher seemed happy that it was all commensurate ... The purpose of this investigation was to explore the extent to which the running cadence and stride length affect the running speed, as well as identifying the optimal cadence for selfoptimisation. To do so, 50 samples of varying cadences from 123 to 218 are manipulated using a metronome to identify the effect on the pace. Next, a second test is carried out to identify if the model fits in ...Paper 2. Model Answers. Model Answers. AI Formula Sheet. AI Formula Sheet. Revision Notes. Topic Questions. Practice Paper Questions. Our expert IB teachers & examiners have written revision notes, practice questions & tips for your IB exams, to help you get the best grades possible. Utilising IB Math Applications and Interpretation SL Past Papers is an effective strategy to prepare for final exams, as it provides students with guidance on the types of questions they will encounter, and the length and difficulty of the exam papers. If you are an AI SL student preparing for your upcoming exams, it’s recommended that one of ... Jeannette Alvarez. Math Department ChairPhone: (305) 408-2700 Room #: 1252. Home Links IB Year 2 Honors Geometry IB Math Studies Internal Assessments EOC Review Packets Email. I have posted several IA Samples with the points awarded and comments from graders. Rubric is also posted on this page.IA. Math AI - SL. May 2022. 5 (Breakdown) Examiner's summary. Criterion A [1/4]:The student's work lacks a clear division into three main sections: introduction, main body, and conclusion. The introduction is missing a clear mathematical approach to the investigation and should include a description of the steps planned to complete the ...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. Topics include Algebra and Number (proof), Geometry, Calculus, Statistics and Probability, Physics, and links with other subjects.Looking for inspiration for your IB Maths IA? Check out our comprehensive guide featuring 60 examples and expert guidance to help you succeed.Promoted. Advertise with Clastify. Investigating the word length effect on short term memory through the replication of Baddeley, Thomson and Buchanan's experiment 1 (1975) IA Psychology SL 7. The effect of the duration of recall interval on short-term memory in the recollection of tri-grams. IA Psychology HL 5.Math AI SL - IA Structure/Examples. Basically the title. Does anyone happen to know of any exemplar Math AI SL IA's? All I can find seem to be based off the old syllabus, and they haven't had updated mark schemes for the new syllabus. my teacher gave us old math studies IA's as examples. Basically the title.As this Example Ib Math Sl Hl Ia Exploration, it ends up brute one of the favored books Example Ib Math Sl Hl Ia Exploration collections that we have. This is why you remain in the best website to see the amazing books to have. Mathematics for the IB Diploma: Applications and Interpretation HL Student Book Mathematical Studies SL IB Math SL

Math SL Internal Assessment IA - final grade 7. Course. Mathematics SL IB. Institution. GEMS World Academy. Book. Mathematics for the International Student Seven. Topic: probabilities and password cracking. The final grade was a 7 (18/20). ~~~ In this IA, I determined the criteria of a strong password that cannot be easily broken by …

The Math IA is a 12-20 page report that showcases the student's ability to conduct independent research, analyze data, ... Specify whether the Math IA is for Standard Level (SL) or Higher Level (HL) Mathematics. ... Some examples of previous IA topics are listed below (these are basic topics and not finalised research questions) and in the ...example-ib-math-sl-hl-ia-exploration 3 Downloaded from legacy.ldi.upenn.edu on 2021-07-16 by guest reference for students, assisting them to understand and learn the theory of IB Mathematics: Analysis and Approaches Higher Level. The Guide aims to help the IB student by both revising the theory and going through some well-chosen examples of the ...IA. Math AI - SL. May 2021. 6 (Breakdown) Examiner's summary. Criterion A [3/4]:The student has successfully divided the work into sections and subdivided the body to clearly indicate phases of the exploration. The topic of the Internal assessment is stated clearly and explained in the introduction. However, the introduction lacks clarity in ...2 Math Sl Ia Examples 2022-04-06 learning the theory in a more traditional way, this book will be a great help to those who wish to use modular forms in applications, such as in the explicit solution of Diophantine equations. There is also a useful Appendix by Gunnells on extensions to more general modular forms, which hasIB Mathematics AI SL - Popular Quizzes Quadratic Functions. Difficulty. Easy. Medium. Hard. View. All Complete Incomplete. Jump to. Filters Jump to. Thank you Revision Village Members #1 IB Math Resource. Revision Village is ranked the #1 IB Math Resources by IB Students & Teachers. 34% Grade Increase.Scroll down this page to find over lots of maths IA exploration topics and ideas for IB Applications SL mathematics students doing their internal assessment (IA) coursework. …IA. Math AI - SL. May 2021. 6 (Breakdown) Examiner's summary. Criterion A [3/4]:The student has successfully divided the work into sections and subdivided the body to clearly indicate phases of the exploration. The topic of the Internal assessment is stated clearly and explained in the introduction. However, the introduction lacks clarity in ...

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Password Manager (Crit A, B, C, E) IA Computer Science HL 7. High scoring IB Computer Science Internal Assessment examples. See what past students did and make your Computer Science IA perfect by learning from examiner commented examples!The Math IA is an internal assessment that makes up 20% of your final grade. Also known as the mathematical exploration component, students are expected to create a 6-12 page research paper with a topic of their choice. Although the IB Mathematics curriculum includes two subjects, Analysis & Approaches (AA) and Applications & Interpretations ...Nature of Mathematics 6 Approaches to the teaching and learning of mathematics: analysis and approaches 13 Aims 22 Assessment objectives 23 Assessment objectives in practiceSyllabus 2524 Syllabus outline 25 Prior learning topics 26 Syllabus contentAssessment 7028 Assessment in the Diploma Programme 70 Assessment …Notes & Files. Mathematics. Sample SL Internal Assessments. Math IA sample. IB Survival is now part of Lanterna Education.IB MATHEMATICS SL Mathematical Exploration on Roller Coasters MATHEMATICS PROJECT CANDIDATE NAME: Gonzalo Escudero Arnés CANDIDATE NUMBER: 0003 …4 Math Sl Ia Examples 2023-04-22 assessment with worked examples, extended essay support and colour-coded questions to highlight the level of difficulty and the different types of questions. - Check understanding with review exercise at the end of the textbook. Follows the new 2019 IB Guide forIA. Math AA - SL. May 2021. 7 (Breakdown) Examiner's summary. Criterion A [4/4]:The student has organized their work effectively by dividing it into sections and further subdividing the body to clearly indicate phases of exploration. The topic of the Internal Assessment is stated clearly and explained in the introduction, although the outline ...Math Sl Ia Examples Introduction to Representation Theory - Pavel I. Etingof 2011 Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field ...The introduction does not mention the mathematical concepts used in the investigation. The student also needs to improve their explanation of Pearson's correlation coefficient and the distinction between r and r^2. Additionally, they need to ensure that their graphs, tables, and diagrams are properly labeled and titled. Expand.STEP 1: The fourth site will be in one of the cells containing an existing site. Draw the perpendicular bisector of the line segment between these two sites. STEP 2: Stop this new line at the point where it meets an existing boundary in the Voronoi diagram. STEP 3: There will now be an existing edge in the region of the new site.All Physics IA Examples. Apply. Starting from the May 2025 session, the Physics IA requirements have changed. We created a couple of exemplars to show you how the new IA should look like. It's OK to refer to the old Physics IA exemplars (since the new IA is quite similar) for inspiration/ideas, but make sure to follow the new requirements. ….

IB Mathematics AI SL - Popular Quizzes Quadratic Functions. Difficulty. Easy. Medium. Hard. View. All Complete Incomplete. Jump to. Filters Jump to. Thank you Revision Village Members #1 IB Math Resource. Revision Village is ranked the #1 IB Math Resources by IB Students & Teachers. 34% Grade Increase.Members. 14. Exams: May 2014. Posted March 9, 2014. I am starting my math IA I have decided to choose the Monty Hall Problem as my topic. I was thinking about explaining the Monty Hall Problem using conditional probability and then expand the Problem by trying it on more than three doors like for example four or five doors in order to try and ...JOIN FOR FREE. Share. Bookmark DownloadExample Ib Math Sl Hl Ia Exploration example-ib-math-sl-hl-ia-exploration 3 Downloaded from legacy.ldi.upenn.edu on 2021-05-01 by guest you are an Understanding by Design (UbD) devotee or are searching for ways to address standards—local or Common Core State Standards—in an engaging way, Jay McTighe and Grant Wiggins provide practical ... All Physics IA Examples. Apply. Starting from the May 2025 session, the Physics IA requirements have changed. We created a couple of exemplars to show you how the new IA should look like. It's OK to refer to the old Physics IA exemplars (since the new IA is quite similar) for inspiration/ideas, but make sure to follow the new requirements. Jan 9, 2024 · A introductory guide to the IA. Chi Squared Test for Independence compares two catagorical variables to test for independence.. Define the null and alternate hypothesis This is the British International School Phuket's IB maths exploration page. This list is primarily for IB Maths Applications SL students (exam in 2021 onwards). If you are doing IB Maths Analysis (exam in 2021 onwards) then go to this page instead. Scroll down for the full list of possible topics and ideas! Essential resources for IB students:…Example 1 Find the volume of the solid generated when the area bounded by the curve y 2 = x, the x-axis and the line x = 2 is revolved about the x-axis. how to use integration to calculate volumes of revolution, A Level Maths. IA Mathematics SL Volume by revolution Volume Integral.Maths Exploration (IA) ideas. 33981 March 19, 2021. Predicting fire spread in wildlife fields: This mathematical model of fire presented in this paper offers for the first time a method for making the quantitative evaluation of both rates of spread and fire intensity in fuels that qualify for the assumptions made on the model.JOIN FOR FREE. Share. Bookmark Download Math sl ia examples, IA. Maths - SL. 6 (Breakdown) Examiner's summary. Criterion A [3/4]:The student's Internal Assessment is well-organized into sections and the topic is clearly stated and explained in the introduction. The exploration is clear and understandable throughout and the consequent parts are linked logically. The use of technology is clearly indicated ..., We would like to show you a description here but the site won’t allow us., Source: IB Mathematics Applications and Interpretation Guide. Criterion A: Communication (4 marks) - This refers to the organisation and coherence of your work, and the clarity of your explanations. The investigation should be coherent, well-organized, and concise. Criterion B: Mathematical Presentation (4 marks) - This refers to how well you use mathematical language, including notation ..., example, 1,1, 2, 3, 5, 8 and 13 are the first 7 Fibonacci Numbers because 1+2=3, 2+3=5, 3+5=8 and so on. This sequence relates to the Golden Ratio because it can be presumed that the ratio of 5 to 8, is approximately equal to the ratio of 8 to 13. In other words, the Fibonacci Numbers continue to approach the Golden Ratio as their limit progresses., Math is used in 3D art to ---. For example here is a picture of Mobius Nautilus, a piece of art made entirely of 36 Mobius strips. A mobius strip is a surface with only one side. The Mobius strip was created by a mathematician as a math concept but it was been taken into art in the form of the Mobius Nautilus. This is the Mobius Strip., Math IA Topic Examples and Ideas. All of these topics are applicable for the Math SL and HL students. Algebra and number. 1) Modular arithmetic – This technique is used throughout Number Theory. For example, Mod 3 …, IB DP Mathematics SL: Home Topic 1: Algebra Topic 2: Functions and Equations Topic 3: Circular Functions and Trigonometry Topic 4: Vectors ... SL Guide: File Size: 2981 kb: File Type: pdf: Download File. SL Assessment Objectives: File Size: 54 kb: File Type: pdf: Download File. Formulae Sheet: File Size:, Figure 1: An example of a normally distributed quantity, illustrated together with its standard deviation and mean value. The normal distribution curve, also known as the “Bell shape d” curve has a concentration at its center which then decreases on both sides as shown on the above curve., www.ibmathematics.org, Here are three examples, one for each of the categories we’ve discussed: Exploration: The Mathematics of Paper Folding., poppy0503. Hey! I actually just handed my math IA in and I did it on a very similar topic - GDP and average BMI. I'm also doing AI SL and my teacher suggested I do linear regression, PMCC, Spearman's, and then a chi-squared test. I'm not sure if this is of any help but I did all of this and my teacher seemed happy that it was all commensurate ..., for example merely substituting values into a formula does not necessarily demonstrate understanding of the results. The mathematics only needs to be what is required to support the development of the exploration. This could be a few small elements of mathematics or even a single topic (or sub-topic) from the syllabus., join for free ..., The maximum value of any function y = f (x) is called the maxima of the function, and the minimum value of the function is called the minima of the function. This is an application of differential calculus. Any function y = f (x) could be graphically represented in cartesian coordinate system. The slope at any point of the function could be determined by finding the derivative of the function ..., The Internal Assessment (IA) requirement for Maths-Analysis & Approaches (SL & HL) is for students to write a paper (recommended 12-20 pages) that explores a mathematical topic of their choice (with appropriate assistance from their teacher) and contributes 20% to a student"s overall score for the course. This Exploration is internally assessed ..., Selecting an IBxq Biology IA idea has always been challenging! Before we look for IB Biology IA ideas, let's clearly comprehend the IB Biology Diploma Programme Subject, its objectives, partwise breakdown, and what IB expects of you. The IB IAs are essential to one's overall subject performance since they make up 20% of the final score., Good call! I remember spending my life on these websites while working on my IA/EE/TOK. Very useful. I have to admit that without these types of resources, writing an IA/EE/TOK essay is significantly harder. I remember checking some stuff out on youtube where past students would give tips on what is expected in a good IA/EE/TOK essay., IA. Maths - SL. 7 (Breakdown) Examiner's summary. Criterion A [3/4]:The student has successfully divided the work into sections of introduction, body, and conclusion, with the body further subdivided to indicate phases of exploration. The topic of the internal assessment is clearly stated and explained in the introduction, and the approach to ..., IBDP MATHEMATICS SL IA · 403 45 ; SL IB Business IA Sample · 213 5 ; Mathematics HL IB IA example · 1,181 56 ; IA Mathematics SL Volume by revolution · ..., Find-A-Question. Before you can start writing you need to choose a topic. This Question/Topic will accompany you for the next 2-4 weeks. Your question should: Have (some) personal engagement. Can be explored mathematically. Should be able to cover 12-24 pages. Be (somewhat) unique. Be meaningful/useful., Title Page: The title page should include the title of your IA, your name, your candidate number, the date, and the word count. Page Numbers: All pages of your IA should be numbered, including the title page and appendices. Font and Size: Use a clear, legible font such as Times New Roman or Arial in size 12., Can an exploration get a good IA grade at SL even if the mathematics is not commensurate with SL level? Possible. Either the level of mathematics showcased is way beyond SL course, or the other extreme of the spectrum where the mathematics is too simplistic, the student could still get a decent result of 14 out of 20 (max) through, Title Page: The title page should include the title of your IA, your name, your candidate number, the date, and the word count. Page Numbers: All pages of your IA should be numbered, including the title page and appendices. Font and Size: Use a clear, legible font such as Times New Roman or Arial in size 12., MATH IA GUIDE 2 [email protected] ... AI SL/HL, Maths AA SL/HL, Maths HL, or Maths SL! Let’s take a look at the criteria. As with all IA’s, the best thing you can do ... A great example of this would be the following. You are an avid football player, and your passion for the game is a large part of your life. You choose to write a ..., Dimensions Math Textbook 1B Modular Forms, a Computational Approach Mathematics IB Mathematics: Analysis and Approaches HL in 150 Pages Mathematics Mathematics of Public Key Cryptography Deep Learning IB Math Studies Sl Math Ia Examples Downloaded from dev.mabts.edu by guest SHAYLEE IBARRA Maths Standard American Mathematical Soc. Introductory ..., STEP 1: For each observed frequency Oi calculate its expected frequency Ei. Assuming the variables are independent. Ei = P ( X = x) × P ( Y = y) × Total. Which simplifies to. STEP 2: Calculate the χ ² statistic using the formula. You do not need to learn this formula as your GDC calculates it for you., We would like to show you a description here but the site won't allow us., IA. Math AI - HL. May 2023. 6 (Breakdown) Examiner's summary. Criterion A [3/4]:The student's exploration is well-structured, with clear sections including an introduction, body, and conclusion. The body of the work is further divided into phases of the exploration, which are clearly indicated. The topic of the exploration is stated clearly in ..., 2,695 posts. Exams: May 2015. Posted October 9, 2016. So correlation is what IB prescribes to Math Studies students and in Math SL you should demonstrate your knowledge beyond plugging numbers into a spreadsheet and output some statistical measures., MATH IA GUIDE 2 [email protected] ... AI SL/HL, Maths AA SL/HL, Maths HL, or Maths SL! Let's take a look at the criteria. As with all IA's, the best thing you can do ... A great example of this would be the following. You are an avid football player, and your passion for the game is a large part of your life. You choose to write a ..., All Physics IA Examples. Apply. Starting from the May 2025 session, the Physics IA requirements have changed. We created a couple of exemplars to show you how the new IA should look like. It's OK to refer to the old Physics IA exemplars (since the new IA is quite similar) for inspiration/ideas, but make sure to follow the new requirements., 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. An example of modeling is presenting the rate at which a country's population changes relative to external factors., Math hl ia topics calculus — Math sl ia topics calculus. If you are doing a Maths Studies IA then go to this page instead. Be aware that this page gets a .... 14 hours ago — ia math ib sample topics maths exemplar hl mathematics example physics ... mathematics daydreameducation calculus educational machine .... Calculus. Topic 10.