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Mathematics Extended Essay Topics for IB

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  • Writing Metier

Ever felt the exhilaration that comes with cracking a complex math problem? That’s the sheer beauty of mathematics – it’s a world where numbers dance, patterns emerge, and solutions await the keen observer. Felt that? Hah?

Now, imagine channeling that same enthusiasm and zest into your Math Extended essay. It might sound like a challenge, but isn’t that what we thrive on? With the right Math EE topic, you can showcase your mathematical prowess and leave an indelible mark on your IB evaluators following the general criteria. 

To help you with that, I’ve curated a list of Math extended essay ideas that span the spectrum from the accessible to the intricate. 

So, let’s begin.

IB Math extended essay ideas

These aren’t just topics; they’re gateways to exploration, understanding, and innovation. 

Ready to get started?

Easy-to-approach topics

For those looking for a gentler introduction to the Math Extended essay, below is a list of 10 engaging and manageable IB Math EE topic ideas, each with a research question and a brief description on how to approach it:

Patterns in Pascal’s Triangle

Research Question: 

How do patterns emerge in Pascal’s Triangle?

Description: 

Begin with the construction of Pascal’s Triangle, then delve into the exploration of its patterns, such as triangular numbers and the Fibonacci sequence.

Mathematics of Voting Systems

How do different voting systems weigh individual votes mathematically?

Introduce various voting systems, then analyze the mathematical principles behind each, discussing fairness and potential biases.

Geometry in Art

Research Question:  

How is geometry used to create visual appeal in art?

Explore various art pieces, highlighting the geometric principles employed, and discuss their impact on aesthetics.

The Math Behind Baking

How do ratios in baking recipes affect the final product?

Investigate the importance of maintaining specific ratios in baking recipes and experiment with variations to observe changes in outcomes.

Probability in Card Games

How does understanding probability enhance success in card games like Poker?

Delve into the rules of Poker and then analyze various hands and scenarios using probability principles.

Symmetry in Nature

How is symmetry exhibited in natural formations?

Explore the concept of symmetry mathematically and then identify and analyze its presence in various natural formations like leaves, flowers, and animals.

Mathematics of Music

How do mathematical patterns influence musical scales and rhythms?

Investigate the structure of musical scales, rhythms, and time signatures, highlighting the underlying mathematical patterns.

Simple Interest vs. Compound Interest

How do simple and compound interest methods impact savings over time?

Define both interest methods and then use mathematical modeling to compare their effects on savings over various periods.

The Golden Ratio in Architecture

How is the Golden Ratio applied in iconic architectural designs?

Introduce the concept of the Golden Ratio and then analyze its application in various famous architectural structures.

Mathematics of Juggling

How do mathematical patterns and sequences dictate juggling techniques?

Explore basic juggling techniques and patterns, analyzing the mathematical sequences that jugglers use to maintain rhythm and control.

Each of these topic ideas and RQs is approachable yet offers ample scope for exploration and analysis within the realm of mathematics.

Intermediate topics

mathematics extended essay topics

For those seeking a bit more challenge without diving into the deep end, the topics below offer a balanced blend of complexity and accessibility.

Here’s a list of 10 average-difficulty IB Math Extended essay topics, each with a research question and a brief description of how to approach it:

Game Theory in Economics

How does game theory provide insights into competitive market behaviors?

Introduce game theory principles and use business world case studies to show strategic decision-making influenced by game theory.

Fractals and Nature

How do fractal patterns manifest in natural phenomena?

Description:  

Delve into the mathematical concept of fractals and explore their appearance in various natural settings, such as coastlines, mountains, and plants.

Mathematics of Population Growth Models

How do mathematical models accurately predict population growth in urban areas?

Introduce population growth models and use real urban area data to validate these models, discussing influencing factors.

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extended essay math ideas

Cryptography and Internet Security

How do modern cryptographic techniques ensure data security on the internet?

Explore the evolution of cryptography, focusing on modern techniques, and discuss their role in ensuring data security in online transactions.

Mathematical Modeling of Epidemics

How can mathematical models predict the spread of infectious diseases?

Introduce basic epidemiological models and analyze their effectiveness in predicting disease spread using real-world data.

Topology and Coffee Cups

How does topology explain the mathematical similarity between a coffee cup and a donut?

Dive into the basics of topology and use it to explain the often-cited comparison between coffee cups and donuts, emphasizing the concept of homeomorphism.

Chaos Theory and Weather Forecasting

How does chaos theory impact the accuracy of long-term weather forecasts?

Introduce chaos theory, then delve into its application in meteorology, discussing the challenges and limitations in predicting weather.

Mathematics Behind Neural Networks

How do mathematical algorithms drive the functioning of neural networks in artificial intelligence?

Explore the structure of neural networks and delve into the mathematical algorithms that enable their learning and functioning.

Optimization Problems in Logistics

How can mathematical optimization improve efficiency in supply chain logistics?

Investigate real-world logistics challenges and demonstrate how mathematical optimization techniques can offer solutions.

Number Theory in Modern Cryptography

How does advanced number theory underpin modern cryptographic techniques?

Delve into number theory concepts and their application in modern cryptographic methods, emphasizing their role in ensuring data security.

These topics and research questions offer a balanced blend of complexity and accessibility, making them suitable for students seeking a moderate challenge in their Math Extended essay.

Advanced topics (with potential for higher rewards)

For the brave hearts ready to dive deep, these topics are challenging but can yield impressive results when tackled effectively.

The list of 10 challenging IB Math Extended essay ideas, each with a research question and a brief description:

Navier–Stokes Existence and Smoothness

What are the mathematical implications of the unsolved Navier–Stokes existence and smoothness problem in fluid dynamics?

Delve deep into the Navier–Stokes equations, exploring their significance in fluid dynamics and the challenges surrounding their unsolved problems.

Riemann Hypothesis and Prime Numbers

How does the Riemann Hypothesis relate to the distribution of prime numbers?

Investigate the Riemann Hypothesis, its historical context, and its profound implications for the distribution of prime numbers.

Quantum Cryptography and Key Distribution

How does quantum cryptography enhance security in key distribution?

Explore the principles of quantum mechanics applied to cryptography, focusing on the advantages and challenges of quantum key distribution.

Elliptic Curves and Cryptography

How do elliptic curves underpin modern cryptographic techniques?

Dive into the mathematics of elliptic curves and their pivotal role in modern cryptographic algorithms.

Four Color Theorem and Graph Theory

How does the Four Color Theorem demonstrate the complexities of graph coloring?

Investigate the history and proof of the Four Color Theorem, discussing its implications and challenges in graph theory.

Complex Analysis in Quantum Mechanics

How does complex analysis influence the mathematical foundations of quantum mechanics?

Delve into the principles of complex analysis and explore their applications and significance in quantum mechanics.

Twin Prime Conjecture

What are the implications and challenges of the Twin Prime Conjecture in number theory?

Investigate the Twin Prime Conjecture, its history, and its significance in the realm of number theory.

Knot Theory and DNA Replication

How does knot theory provide insights into the process of DNA replication?

Explore the mathematical intricacies of knot theory and its applications in understanding the complexities of DNA replication.

Ergodic Theory and Thermodynamics

How does ergodic theory connect with the principles of statistical thermodynamics?

Dive deep into ergodic theory, exploring its foundational concepts and its connections to statistical thermodynamics.

Langlands Program and Number Theory

What is the Langlands Program, and how does it seek to unify different areas of mathematics?

Investigate the Langlands Program, its objectives, and its profound implications in unifying disparate areas of mathematics, particularly number theory.

These topics are undoubtedly challenging but can yield impressive results when tackled effectively. They offer a deep dive into complex mathematical concepts and theories, making them ideal for students aiming for the highest grades in their Math Extended essay.

Get extended essay help

Before continuing to the next block, I suggest our Math EE writing or editing services . Our company has been working with numerous IB students and helped them write custom IB extended essays.

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Overused Math EE topics (proceed with caution)

While these topics are popular, they’ve been explored extensively. If you choose one, ensure you bring a fresh perspective:

  • The Fibonacci Sequence in Nature.
  • Pi and its Mysteries.
  • The Monty Hall Problem.
  • The Birthday Paradox.
  • Exploring Pascal’s Triangle.
  • The Mathematics of the Pyramids.
  • The Tower of Hanoi Problem.
  • Benford’s Law.
  • The Four Color Theorem.
  • The Mathematics of the Rubik’s Cube.

Keep in mind that selecting such a topic will require hard work to find a new custom angle of research and sometimes might not lead to higher grades .

In Conclusion

Alright, IB champs, that wraps up our curated selection of Math EE topics, each with its unique flavor and challenge. The topic is just the starting point. The real magic happens when you infuse it with your insights, analysis, and unique perspective. 

Mathematics isn’t just about numbers; it’s about stories and trips within the confines of equations and graphs. As you gear up to tackle your Extended essay, keep that passion alive, keep questioning, and most importantly, enjoy the process. 

Don’t forget to reserve extra space because it may take time to write an extended essay . And if you’re ever in doubt, remember that Writing Metier is here to guide you through every step of the process.

Free topic suggestions

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Vasyl Kafidoff is a co-founder and CEO at WritingMetier. He is interested in education and how modern technology makes it more accessible. He wants to bring awareness about new learning possibilities as an educational specialist. When Vasy is not working, he’s found behind a drum kit.

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IB Math Extended Essay Topics: 20+ Ideas for Inspiration

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by  Antony W

September 3, 2022

math extended essay topics

Do you feel stuck on searching for and choosing the best IB Math Extended Essay topics? Or maybe you already have a topic for consideration but it isn’t viable enough to fit the scope of the assignment?

You’ve come to the right place.

In this guide, we’ll give you 15+ IB Math ideas that you can use as inspiration to come up with your own topic or modify and investigate further in your extended essay.

What’s the Purpose of IB Math Extended Essay?

An extended essay in mathematics gives you the chance to demonstrate an understanding of any part of the subject.

You can give an expression on the beauty of mathematics in geometry or fractal theory, the elegance of mathematics in the proving of theorems, and the origin and subsequent development of a branch of mathematics over a period.

The extended essay also allows you to demonstrate the link between the different branches of mathematics and the powerful structures that enable many different problems to be solved by a single theory and the way in which mathematics is applied to real-world situations.

Your essay requires a well-defined and focused research question. An abstract is no longer necessary in an extended essay , but you’re welcome to include it if you believe it will summarizes your strategy to solving the research question and your findings

Math Extended Essay Writing Assistance

While Math opens up an opportunity to explore complex issues beyond the IB Diploma course , the subject can be extremely challenging for some IB students.

If you’re one of the students who chose Math for the Extended Essay project but you find the subject challenging, you can get help online from experts in the subject.

Help for Assessment offers the most  comprehensive Extended Essay help   in Mathematics, even on a topic that you would consider too complex to handle. With our help, you’ll find complex concepts easy to understand, not to mention you’ll get your Math assignment completed on time.

We understand that Math tasks can be costly and involving. However, we’ve made our writing service as affordable as possible, so you can get professional writing help.

We can write you first draft before the first reflection session with your supervisor and equally help you fine-tune the last draft for the final submission.

IB Math Extended Essay Topics

The following are examples of IB Math Extended Essay topics that you might find worth investigating further: 

  • What is the return percentage of a certain three-reel slot machine?
  • What are the alternatives to Euclidean geometry and what are their practical applications?
  • Comparison of population growth models for Country X for the past n years, with projections for the future.
  • The exploration of geometric series in musical instruments, such as the fret position on a guitar
  • How many convex polygons can you construct from seven tangram pieces?
  • An examination of the alteration of a message's truthful substance during transmission between persons
  • Is there a connection between the golden ratio and human’s perception on natural beauty, with a focus on the human face and form?
  • Is there a relationship between SAT scores and school test results/GPA?
  • Leibniz and Newton independently developed calculus at around the same time. Compare their techniques and analyze which notation is currently more prevalent.
  • What is the Binomial Theorem, and how has it contributed to human history?
  • Complex number problem-solving techniques: What types of real-world issues do complex numbers assist solve?
  • Applying Newton's Forward Difference Formula to predict the number of triangles created by subdividing the sides of an equilateral triangle n times.
  • RSA Public Key Cryptography's use of modular arithmetic and huge prime integers to achieve anonymity
  • Investigating the link between Pascal's Triangle and the Fibonacci sequence
  • How can mathematical modeling that employs differential equations determine population growth patterns for a predator and its prey?
  • How can the population of cells be determined throughout time? Which mathematical model approximates an actual experiment more precisely?
  • A study of Riemann Sums (conventional integration to get areas) and Numerical Integration
  • Vedic Mathematics: an investigation of its effectiveness and exploration of its applications
  • How are Laplace transforms utilized in the solution of second-order differential equations?
  • A statistical examination of the impact of background music on pupils' short-term memory ability
  • Analytical and geometric formulations of parabolic and cubic Bezier curves as used in computer graphics software
  • A quantitative analysis of the efficacy of two herbs for treating impetigo skin condition
  • A study of the nature of beats and the relative consonance of pure-tone dyads
  • The link between logical-mathematical intelligence and academic achievement at the undergraduate level
  • A study of the link between a bond's coupon rate, yield to maturity, and its clean price
  • Using the addition of sine curves to analyze the harmony of Chinese and Western musical scales
  • The correlation between students' attitudes toward mathematics and their mathematical performance
  • How near is the approximation of the Taylor Series to the original function
  • What criteria determine whether the movement of employees on a building site achieves "equilibrium"?
  • The efficacy of an English Tuition Program in enhancing the English skills of participants
  • A statistical examination of the causes of fatal traffic accidents throughout the holiday season
  • Does studying a third language have any influence on the short-term memory retention of lower secondary students?

Keep in mind that this list is not exhaustive by any means. So if none of these topic ideas appeals to you, doing additional research can make a difference.

Related Reading

  • The Complete Guide for IB Math Extended Essay
  • Get a List of Psychology Extended Essay Topics Here
  • Learn More About Physics Extended Essay Assignment

Some Tips to Help You Choose a Relevant Math EE Topic

You can write an extended essay in math on any subject with a mathematical focus. Because IB doesn’t limit the assignment to mathematical theories, you may select mathematical themes from engineering, sciences, and the social sciences.

Statistical analyses of experimental results from other disciplines are also appropriate, as long as they focus on the modeling method and address the limits of the results.

A topic chosen from the history of mathematics may also be acceptable, provided you bring out a clear progression of mathematical growth.

Focusing on the lives of mathematicians or their personal rivalry would be irrelevant and would not score highly on the grading criteria.

Notably, the evaluation criteria provide points for the nature of the inquiry and the extent to which reasoned arguments are suitable for a research issue.

You need to avoid selecting a topic that generates a trivial research question or is insufficiently concentrated to permit suitable presentation in an essay of the right length.

Typically, you will have to challenge yourself to either extend their knowledge beyond the Diploma Program course or apply techniques learned in their mathematics course to the modeling of an adequately chosen topic.

Final Thoughts

One of the most important thing to keep in mind once you find a suitable Math EE topic is that you will be working on an essay, not a research article for a journal of advanced mathematics.

Also, no finding, no matter how remarkable, should appear in your work without proof of your actual understanding of it. 

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About the author 

Antony W is a professional writer and coach at Help for Assessment. He spends countless hours every day researching and writing great content filled with expert advice on how to write engaging essays, research papers, and assignments.

  • Extended Essay Topics

Math Extended Essay Topics

Luke MacQuoid

  • January 10, 2023

Table of Contents

A math extended essay (EE) is a research paper that is written by students who are enrolled in the International Baccalaureate (IB) program as a part of their Diploma. The Extended Essay is self-directed research that aims to provide students with the opportunity to explore a topic of their interest in depth, with a particular focus on the application of math concepts and skills. In order to pass the paper successfully, it is very important to choose the right topic for the Math Extended Essay Topics.

In an Group 5: Mathematics extended essay, students work independently under the guidance of a supervisor to plan and carry out a research project on a math-related topic . This research project should demonstrate the student’s ability to engage in independent research, apply critical thinking and problem-solving skills, and communicate their findings clearly and effectively.

The math extended essay has strict word count in length and should be written in a clear, concise, and formal style, it should also include an introduction, a body of discussion, a conclusion, and a bibliography.

The student is expected to demonstrate the ability to design and conduct a research project, use mathematical concepts and skills to analyze and interpret the data and discuss their findings in the context of relevant mathematical literature.

The math extended essay also allows students to explore a mathematical topic in a way that is not possible in the classroom, it also gives a chance to students to demonstrate their mathematical knowledge and skills and to develop a more global understanding of mathematics.

What’s the Purpose of IB Math Extended Essay?

The purpose of the IB math extended essay is to provide students with the opportunity to engage in independent research and to apply their mathematical knowledge and skills to a topic of their own choosing. The extended essay is designed to give students a chance to explore a topic in depth and to develop the following key skills:

Research skills : Students learn how to design and conduct a research project and how to collect, analyze, and interpret data.

Critical thinking skills : Students learn how to evaluate sources, make a clear and well-supported argument, and solve problems.

Communication skills : Students learn how to write a formal academic paper and how to present their findings and arguments clearly and effectively.

Time management skills:  Students learn how to plan their time effectively and manage their workload.

Subject-specific knowledge : Students get the opportunity to deepen their understanding of a particular area of mathematics and to explore the ways in which mathematical concepts and methods can be applied to solve problems.

The IB Math Extended Essay allows students to research and write about a specific mathematical topic that they find interesting. It also allows students to apply the knowledge and skills they have learned in the classroom to a real-world problem or scenario. 

Completing the extended essay is an important requirement for students to receive the International Baccalaureate Diploma, and it also provides students with the opportunity to develop important research and analytical skills which will be useful in the future, regardless of their chosen career path.

extended essay math ideas

Need help with your IB Math extended essay?

You can also use our extended essay writers team’s services if you need assistance selecting a topic . Furthermore, we can also help you write your IB extended essay from scratch or edit your draft following the IB criteria.

IB Math Extended Essay Topics

An extended essay in mathematics provides students with an opportunity to explore an area of math that interests them in depth. Here are some potential topics for a math extended essay:

  • Investigating the properties of a specific mathematical function and its applications.
  • Examining the history of a particular mathematical concept or problem
  • Investigating the relationship between different branches of mathematics, such as algebra and geometry.
  • Investigating the properties and application of geometric shapes in different branches of mathematics.
  • Applying mathematical modeling to a real-world problem, such as optimizing logistics or predicting weather patterns.
  • Investigating the use of mathematical methods in computer science, such as complexity theory and algorithms.
  • Exploring the application of number theory in cryptography and information security
  • Investigating the role of statistics in decision-making and forecasting.
  • Investigating the use of mathematical logic in Artificial Intelligence and machine learning
  • Examining the applications of mathematical methods in the field of engineering and physics, such as fluid dynamics and mechanics.
  • Investigating the properties of fractals and their applications in computer graphics and image processing.
  • Exploring the concept of infinity and infinitesimals in calculus and their implications in other branches of mathematics.
  • Investigating the application of graph theory in network analysis and computer science
  • Examining the relationship between topology and other branches of mathematics such as algebra and analysis.
  • Investigating the properties of mathematical knots and their applications in physics and biology.
  • Exploring the application of game theory in economics and decision making
  • Investigating the use of mathematical methods in the field of finance and financial modeling
  • Examining the relationship between chaos theory and other areas of mathematics and science
  • Investigating the use of mathematical methods in the field of cryptography, such as elliptic curve cryptography.
  • Exploring the application of mathematical methods in the study of complexity in natural systems, such as studying the Mandelbrot set in the field of chaos theory.

Remember to check with your teacher or supervisor for guidelines or restrictions and pick a topic that you find interesting and engaging. Also, make sure you have a clear and testable research question as part of the planning and writing process.

Students can use these themes as a starting point for their research and then narrow down their focus to a specific problem or question related to the theme. For example, if a student is interested in investigating the properties of a specific mathematical function, they could begin by researching the history of the function, its key properties, and its applications. 

They could then narrow down their focus to a specific problem or question, such as “How does the shape of the graph of this function change as its parameters are varied?” or “What are the implications of this function’s properties for other areas of mathematics?”

Similarly, if a student is interested in exploring the concept of infinity in calculus, they could begin by researching the history of the concept and its implications in other branches of mathematics. They could then narrow down their focus to a specific question, such as “How does the concept of infinity affect the way we think about limits and continuity in calculus?”

Once a student has a specific problem or question in mind, they can begin to design and conduct their research. This will typically involve collecting data, analyzing it using mathematical methods, and interpreting their findings. They should also read and critically evaluate relevant literature on their topic and use it as a foundation to construct their own arguments.

It’s also important to mention that the research and writing process should be guided by the student’s supervisor and that the student should be able to clearly communicate the research question, methodology, findings, and conclusions in a formal academic paper.

Finally, the extended essay is an opportunity for students to demonstrate their ability to apply mathematical concepts and skills to a real-world problem and to communicate their findings in a clear and effective way, and this can be greatly beneficial for students who wish to pursue further studies or careers in fields related to mathematics and other sciences.

Some Tips to Help You Choose a Relevant Math EE Topic

Choosing a relevant and engaging topic for your math extended essay can be challenging, but by following these tips, you can make the process easier:

Start by identifying your interests: Think about the areas of math that you enjoy and find most interesting. These are likely to be the areas that you will find most engaging to research.

Consider the scope of the topic: Your topic should be narrow enough to be manageable within the 4,000-word limit of the extended essay but broad enough to allow for a thorough investigation.

Look for connections between different areas of mathematics: Often, the most interesting and relevant topics lie at the intersection of different areas of mathematics.

Talk to your supervisor: Your supervisor is a valuable resource and can provide guidance on choosing a relevant and manageable topic. They can also help you refine your research question and give you feedback on your ideas.

Make sure your topic is original: You want your extended essay to be unique and to make a meaningful contribution to the field. Avoid topics that have been extensively researched or that are too similar to other extended essays.

Think about the resources available: Consider whether the resources available to you (books, articles, data, etc.) are sufficient to allow you to conduct the research you want to do.

Consider the audience: Your Extended Essay is read by a group of examiners appointed by the International Baccalaureate, so consider the level of mathematical sophistication of your topic and the language used to communicate it.

Research to find a feasible topic: Once you have some ideas, research them to see if they are feasible, given the time, resources, and supervisor’s expertise you have.

In conclusion,  writing a math extended essay can be a challenging but rewarding experience. The key to success is to choose a relevant and engaging topic that aligns with your interests and allows you to showcase your understanding and skills in mathematics. By considering the tips provided, such as identifying your interests, talking to your supervisor, and making sure your topic is original, you will be able to choose a topic that is both manageable and meaningful. 

One way to ensure the success of their essay is to seek out professional assistance. Professional writers and editors can provide valuable feedback and guidance throughout the research and writing process, helping students to improve their understanding of the topic and to communicate their findings more effectively.

It could be a good idea to consider looking into reputable academic writing services where you can get help with your math extended essay and improve your chances of getting a good grade. They can also help ensure that the paper meets academic standards and requirement. However, always be sure to evaluate the source carefully and do your due diligence, as not all academic writing services are created equal.

Remember that the extended essay is an opportunity to conduct independent research and apply critical thinking and problem-solving skills to a topic of your own choosing. By following a systematic and well-structured approach, you will be able to successfully complete your math extended essay and demonstrate your knowledge and understanding of the subject.

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Luke MacQuoid has extensive experience teaching English as a foreign language in Japan, having worked with students of all ages for over 12 years. Currently, he is teaching at the tertiary level. Luke holds a BA from the University of Sussex and an MA in TESOL from Lancaster University, both located in England. As well to his work as an IB Examiner and Master Tutor, Luke also enjoys sharing his experiences and insights with others through writing articles for various websites, including extendedessaywriters.com blog

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IB Math EE – Math Extended Essay Guide

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IB Math EE – Math Extended Essay Guide

The IB Math Extended Essay is a challenging yet rewarding academic endeavor that allows students to explore and delve deeper into various mathematical concepts and techniques. This article aims to provide valuable insights and guidance on how to successfully navigate through the process of writing an IB Math Extended Essay.

With a focus on conducting effective research, applying mathematical concepts, developing a coherent argument, and managing time and organization, this article offers practical tips to help students overcome challenges and roadblocks they may encounter along the way.

Furthermore, this article emphasizes the importance of showcasing personal engagement in the essay by demonstrating genuine curiosity and passion for the chosen topic. By doing so, students can celebrate their accomplishment in producing a well-written piece that reflects their dedication and understanding of mathematics.

Whether you are just beginning your journey or already immersed in your IB Math Extended Essay, this informative guide will equip you with essential tools to excel in your academic pursuit while ensuring safety within an objective academic writing style.

IB Math EE

Key Takeaways

  • IB Math Extended Essay is a challenging academic endeavor that allows students to explore mathematical concepts and techniques.
  • The essay requires effective research, application of mathematical concepts, coherent argument, and time management.
  • Personal engagement and passion are important for a successful extended essay.
  • Effective research strategies include consulting scholarly articles, books, and reputable online resources, and following clear plans and systematic methodologies.

Table of Contents

Understanding the IB Math Extended Essay

The IB Math Extended Essay is a research project that requires students to investigate a mathematical topic of their choice in depth, demonstrating their understanding and application of mathematical principles. It serves as an opportunity for students to engage in independent research and explore the subject matter beyond the scope of the standard math curriculum. The essay allows students to delve into complex mathematical concepts, develop logical arguments, and present their findings in a structured manner.

To ensure safety within this academic pursuit, it is crucial for students to adhere to ethical guidelines when conducting their research. This includes citing all sources accurately and giving credit where it is due. Additionally, students should prioritize data integrity by using reliable sources and verifying information before incorporating it into their essays.

In order to conduct effective research for the IB Math Extended Essay, students must employ various strategies such as consulting scholarly articles, books, and reputable online resources. They should also consider seeking guidance from experts or professionals who can provide valuable insights on their chosen topic. By utilizing these resources effectively, students can enhance the quality of their research and ultimately produce a comprehensive essay that contributes meaningfully to the field of mathematics.

Transitioning into the next section on conducting effective research without explicitly stating “step,” it is essential for students to approach their investigation with a clear plan and systematic methodology.

Conducting Effective Research

To effectively conduct research for an IB Math extended essay, it is essential to approach the task with an objective and impersonal mindset. This ensures that the research is conducted in a systematic and unbiased manner, allowing for reliable and valid results. Here are four helpful tips to consider when conducting research for your IB Math extended essay:

  • Define your research question clearly: Start by identifying a specific problem or topic within the field of mathematics that you want to explore. Clearly define your research question to provide focus and direction throughout the process.
  • Gather relevant sources: Conduct a thorough literature review to identify existing theories, models, and studies related to your research question. This will help you build a solid foundation of knowledge and understand previous findings in order to contribute something new to the field.
  • Collect and analyze data: Depending on your chosen topic, collect data using appropriate methods such as surveys, experiments, or simulations. Ensure that your data collection process is rigorous and follows ethical guidelines.
  • Draw meaningful conclusions: Analyze your data using appropriate mathematical techniques and interpret the results objectively. Draw meaningful conclusions that address your research question’s objectives while considering any limitations or uncertainties present in the study.

By following these steps, you can conduct effective research for your IB Math extended essay that contributes valuable insights into the field of mathematics. Moving forward into applying mathematical concepts and techniques


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Applying Mathematical Concepts and Techniques

Applying mathematical concepts and techniques involves seamlessly integrating complex equations, formulas, and algorithms into practical real-world scenarios, unlocking the potential for innovative solutions and transformative insights. By harnessing the power of mathematics, researchers can analyze data, model systems, and make predictions with precision and accuracy. Mathematical tools provide a structured framework to explore relationships between variables, identify patterns, and test hypotheses.

To illustrate the significance of applying mathematical concepts in research, let us consider a 2-column table:

Mathematical ConceptPractical ApplicationProbability theoryAssessing risks in safety engineeringOptimizationOptimizing resource allocation in disaster managementStatistical analysisAnalyzing crime patterns for effective law enforcement

This table demonstrates how mathematical concepts can be applied to enhance safety measures. Probability theory enables engineers to assess risks associated with different design choices. Optimization techniques help allocate limited resources efficiently during emergencies. Statistical analysis allows law enforcement agencies to identify crime hotspots for targeted interventions.

By incorporating mathematical concepts and techniques into research methodologies, researchers can derive meaningful insights that contribute to safe and reliable solutions. In the subsequent section about ‘writing a strong introduction,’ we will explore how an effective opening sets the stage for further investigation without being overly prescriptive or formulaic.

Writing a Strong Introduction

Engaging the reader and providing context is crucial in writing a strong introduction for an essay. By presenting relevant background information or posing thought-provoking questions, the writer can capture the reader’s attention and create a sense of relevance to the topic. Additionally, formulating a clear thesis statement in the introductory paragraph helps establish the main argument of the essay and provides a roadmap for what will be discussed. Lastly, outlining the structure and scope of the essay allows readers to understand how different sections will be organized and what specific aspects will be explored, ensuring clarity and coherence throughout the paper.

Engaging the reader and providing context

In order to fully immerse the reader into the world of mathematics, it is crucial to provide a rich contextual backdrop that allows for a clearer understanding and appreciation of the subject matter. Mathematics can often seem abstract and disconnected from everyday life, leading some individuals to view it as intimidating or irrelevant. By engaging the reader through relatable examples and real-world applications, we can create a safe and approachable environment for learning. Exploring how mathematical concepts are applied in various fields such as engineering, finance, or computer science not only helps students see the practicality of mathematics but also fosters an interest in further exploration. Moreover, providing historical context can highlight the development and significance of different branches within mathematics. This sets the stage for formulating a clear thesis statement that builds upon this foundation of knowledge.

Formulating a clear thesis statement

To effectively convey the main focus of a mathematical exploration, it is crucial to craft a concise and clear thesis statement that serves as a guiding framework for the subsequent analysis. A well-formulated thesis statement not only states the main argument or hypothesis but also provides a roadmap for the reader to follow throughout the essay. In an academic style of writing, it is important to maintain objectivity and impersonality, eliminating personal pronouns to create a sense of professionalism and neutrality. By presenting the thesis statement in an objective manner, the writer can engage with an audience that desires safety and assurance in their understanding of complex mathematical concepts. With a solid thesis statement in place, the subsequent section will outline the structure and scope of the essay seamlessly, ensuring clarity and coherence in presenting mathematical ideas.

Outlining the structure and scope of the essay

In the previous subtopic, we discussed the importance of formulating a clear thesis statement for an IB Math Extended Essay. Now, let’s move on to outlining the structure and scope of the essay. This step is crucial as it helps provide a roadmap for the reader to navigate through your work. By clearly outlining the structure and scope, you ensure that all relevant aspects are covered while maintaining coherence and logical flow.

To achieve this, consider incorporating an unordered 3 item bullet list in markdown format:

  • Begin with an introduction that introduces the topic and provides context.
  • Divide your essay into sections or chapters based on different aspects or arguments.
  • Conclude with a summary of key findings and a reflection on their significance.

By following these guidelines, you can create a well-structured essay that effectively communicates your ideas. Transitioning into the next section about developing a coherent argument, it is essential to build upon this foundation by presenting compelling evidence and reasoning to support your thesis statement.

Developing a Coherent Argument

Developing a coherent argument requires the use of logical reasoning and well-structured evidence. When constructing an argument, it is essential to present facts and information in a clear and organized manner. This involves avoiding personal biases and emotions, as well as eliminating personal pronouns to maintain objectivity.

To ensure a strong argument, it is crucial to rely on credible sources and data that support the claims being made. Using evidence from reputable academic journals or textbooks helps establish credibility and adds weight to the argument being presented. Additionally, incorporating logical reasoning allows for connections to be made between different pieces of evidence, further strengthening the overall coherence of the argument.

When writing for an audience that desires safety, it is important to use language that is appropriate and sensitive. Avoiding inflammatory or offensive language ensures that readers feel respected and engaged with the content. By presenting arguments in a respectful manner, readers are more likely to consider different perspectives without feeling attacked or threatened.

Developing a coherent argument requires logical reasoning backed by well-structured evidence. By employing these strategies, writers can effectively communicate their ideas while maintaining objectivity. In the subsequent section about using clear and concise language, we will explore how this aspect contributes to the overall coherence of an essay’s argumentation process.

Using Clear and Concise Language

Using precise and concise language enhances the clarity and impact of an argument, captivating readers and facilitating their understanding. When writing academically, it is important to eliminate personal pronouns and adopt an objective and impersonal tone. This approach allows the focus to remain on the content rather than the writer’s subjective perspective. By using clear and concise language, writers can effectively convey complex ideas without overwhelming or confusing their audience.

In an academic setting, it is crucial to cater to an audience that values safety in their reading material. Using language appropriate for this type of audience ensures that readers feel secure in engaging with the content. It also helps build trust between the writer and the reader, as clear communication fosters a sense of reliability.

Transitioning into the subsequent section about formatting and citations, it is essential to maintain precision throughout all aspects of academic writing. Formatting guidelines ensure consistency in presenting information while citations acknowledge sources used in support of arguments. These elements contribute to establishing credibility within academia by demonstrating a thorough understanding of scholarly norms.

By adhering to these rules of using clear and concise language, as well as following proper formatting guidelines and including accurate citations, writers can effectively communicate their ideas while maintaining professionalism within academic discourse.

Formatting and Citations

This paragraph will discuss the importance of following the IB guidelines for formatting and citation style, using proper citations and references, and creating a bibliography or works cited page. Following the IB guidelines is crucial to ensure consistency and professionalism in academic writing. Proper citations and references are essential to give credit to the original authors and avoid plagiarism. Creating a bibliography or works cited page helps readers locate and verify the sources used in research.

Following the IB guidelines for formatting and citation style

To adhere to the IB guidelines for formatting and citation style, it is essential to employ an academic writing style that maintains objectivity and avoids personal pronouns, thus conveying a sense of professionalism and scholarly rigor to the intended readership. One effective way to enhance the readability of academic writing is through the use of tables. Tables provide a clear and organized format for presenting data or information in a concise manner. They allow readers to quickly grasp key points and make comparisons between different elements. In this context, a 2 column by 4 row table can be utilized, providing a visually appealing layout that facilitates understanding. By incorporating tables into academic writing, authors can effectively communicate complex ideas while maintaining clarity and coherence.

Moving forward, it is important to also consider the importance of using proper citations and references in order to acknowledge the sources of information used in academic writing without plagiarizing.

Using proper citations and references

A crucial aspect of scholarly writing involves the integration of accurate citations and references, which serve to acknowledge the sources of information employed in academic discourse while maintaining integrity and avoiding plagiarism. By providing proper citations, researchers ensure that their work is transparent and reliable, allowing readers to verify claims and build upon established knowledge. Additionally, citations demonstrate respect for intellectual property rights and ethical research practices. In an academic setting where safety is a priority, precise referencing becomes even more important as it enables readers to access relevant sources and evaluate the reliability of information provided. Moving forward into the next section about creating a bibliography or works cited page, attention to citation details will continue to play a pivotal role in upholding academic standards and fostering a culture of accountability in research endeavors.

Creating a bibliography or works cited page

The creation of a bibliography or works cited page is an essential step in scholarly writing, as it provides a comprehensive list of all the sources referenced in an academic work, enabling readers to access and evaluate the reliability of the information presented. By including a bibliography, authors demonstrate transparency and accountability by acknowledging the contributions of other scholars and researchers. This not only strengthens their own arguments but also allows readers to verify the credibility of the sources used. A well-constructed bibliography typically includes information such as author names, publication dates, titles, and any relevant page numbers. It is important to adhere to specific citation styles, such as APA or MLA, to ensure consistency and accuracy throughout the document. With a complete bibliography in place, authors can confidently move on to seeking feedback and revisions for their work.

Seeking Feedback and Revisions

Revising and seeking feedback on the IB Math EE is an essential step in ensuring a well-rounded and academically rigorous research project. The process of seeking feedback allows for constructive criticism, which can help identify areas for improvement and strengthen the overall quality of the Extended Essay. Here are three key reasons why seeking feedback and revisions are crucial:

  • Enhancing clarity: Feedback from teachers, peers, or subject experts can provide valuable insights into areas that may be unclear or confusing. This allows the researcher to refine their arguments and ensure that their ideas are effectively communicated.
  • Identifying errors: Through feedback, researchers can identify any mistakes or inaccuracies in their work. This could include mathematical errors, incorrect data analysis techniques, or flawed reasoning. Addressing these issues helps maintain the integrity and accuracy of the research.
  • Strengthening analysis: Seeking feedback enables researchers to evaluate whether their analysis is comprehensive and thorough enough to support their claims. It encourages critical thinking by challenging assumptions and highlighting potential gaps in reasoning.

By actively seeking feedback and making necessary revisions based on this input, researchers can produce a more polished and robust IB Math EE. Transitioning into the subsequent section on time management and organization, careful planning is also crucial for successfully completing this project within given timelines.

Time Management and Organization

Efficient time management and effective organization are crucial in successfully completing the IB Math EE within designated timelines. The process of researching, analyzing data, and writing a comprehensive extended essay requires careful planning and allocation of time. By creating a detailed schedule that outlines specific tasks and deadlines, students can ensure that they stay on track throughout the research and writing process.

To effectively manage their time, students should prioritize their tasks based on urgency and importance. Breaking down the project into smaller, manageable chunks allows for a more systematic approach to research and writing. Setting realistic goals for each stage of the EE helps to prevent procrastination and ensures progress is made consistently.

Furthermore, maintaining an organized workspace is paramount to staying focused and minimizing distractions. Keeping research materials, notes, and drafts neatly organized not only saves time but also aids in efficiently retrieving information when needed.

By adhering to these principles of time management and organization, students can confidently navigate through the various stages of their IB Math EE while meeting deadlines. In the upcoming section about dealing with challenges and roadblocks, we will explore strategies for overcoming obstacles that may arise during this demanding process.

Dealing with Challenges and Roadblocks

This paragraph introduces a discussion on dealing with challenges and roadblocks in the context of writing an IB Math EE. It highlights three key points: overcoming writer’s block and lack of motivation, managing stress and pressure, and seeking help and support when needed. These issues are important to address in order to maintain productivity and achieve success in the research process.

Overcoming writer’s block and lack of motivation

Overcoming writer’s block and lack of motivation can be a significant challenge when working on an IB Math Extended Essay. To help navigate these obstacles, it is important to implement strategies that promote productivity and maintain focus. Here are five effective approaches:

  • Break the task into smaller, manageable parts.
  • Establish a routine that includes dedicated work sessions.
  • Seek support from teachers, peers, or online communities.
  • Engage in activities that promote relaxation and reduce stress.
  • Set realistic goals and celebrate achievements along the way.

Implementing these strategies can create a sense of structure and purpose, which can help overcome writer’s block and lack of motivation. By incorporating these practices into your writing process, you can increase productivity while maintaining a healthy balance. Transitioning into managing stress and pressure requires acknowledging the importance of self-care and adopting coping mechanisms to ensure overall well-being.

Managing stress and pressure

Having discussed strategies to overcome writer’s block and lack of motivation, it is crucial to address the issue of managing stress and pressure in order to maintain a healthy state of mind during the IB Math Extended Essay (EE) process. The demanding nature of this task can often lead students to feel overwhelmed and stressed, affecting their ability to perform well. It is important for students to develop effective stress management techniques such as time management, relaxation exercises, and seeking support from friends and family. Additionally, engaging in physical activities or hobbies can provide a much-needed break from academic pressures. By learning how to manage stress effectively, students can maintain focus and productivity throughout their EE journey. However, there may be instances when additional help and support are required. Thus, it becomes imperative to understand the significance of seeking assistance when needed while navigating through this challenging task without compromising mental well-being.

Seeking help and support when needed

To ensure a successful completion of the IB Math Extended Essay, it is important for students to recognize the value of seeking assistance and support when facing challenges or difficulties. When students seek help, they are not admitting weakness but rather acknowledging that everyone encounters obstacles at some point. Seeking assistance from teachers, peers, or online resources can provide valuable insights and guidance to overcome any hurdles encountered during the research process. Additionally, reaching out for support can alleviate stress and pressure, promoting a healthier mindset and overall well-being. By actively seeking help when needed, students demonstrate maturity and a commitment to their academic growth. This willingness to seek assistance sets them up for success in showcasing their personal engagement with their chosen topic in the subsequent section.

Showcasing Your Personal Engagement

Demonstrating personal engagement is crucial in an IB Math Extended Essay as it showcases the depth of the student’s involvement and passion for the chosen topic. By showcasing personal engagement, students highlight their commitment to exploring complex mathematical concepts and applying them to real-world scenarios. This level of involvement not only allows students to develop a deeper understanding of their chosen topic but also demonstrates their ability to think critically and independently.

To showcase personal engagement effectively, students should clearly articulate their motivation for selecting the particular research question or topic. They should provide a comprehensive overview of their thought process, including any challenges they encountered along the way and how they overcame them. Moreover, students should demonstrate a genuine interest in investigating alternative viewpoints or methodologies related to their research question.

In addition, students can exhibit personal engagement by actively seeking out feedback from teachers, peers, and other experts in the field. This shows a willingness to learn from others’ perspectives and incorporate constructive criticism into their work.

By demonstrating personal engagement throughout the essay, students not only establish themselves as credible researchers but also contribute valuable insights to the field of mathematics. Celebrating this accomplishment requires reflecting on one’s growth throughout the research process while acknowledging that there is always room for further exploration and improvement.

Celebrating Your Accomplishment

Recognizing the hard work and dedication involved in completing an IB Math EE is essential. The process of researching, analyzing data, and writing the essay requires a significant amount of time and effort. Embracing the learning experience gained from undertaking such a substantial project can lead to personal growth and development as a student.

Sharing your knowledge and insights with others in the IB community is not only an act of celebration but also a way to contribute to the collective learning experience. By disseminating your findings, you can inspire others to explore similar topics or provide valuable guidance for those who may be embarking on their own EE journey. Ultimately, celebrating your accomplishment goes beyond personal satisfaction; it becomes an opportunity to engage with others in meaningful discussions and foster intellectual curiosity within the IB community.

Recognizing the hard work and dedication involved

The arduous journey of an IB Math Extended Essay involves hours spent poring over complex mathematical concepts and tirelessly analyzing data sets. To recognize the hard work and dedication involved in completing this task, it is important to acknowledge the following:

  • Intellectual rigor: The IB Math Extended Essay requires students to engage in critical thinking, problem-solving, and independent research. It demands a high level of intellectual rigor and analytical skills.
  • Time commitment: Students invest a significant amount of time in conducting experiments, collecting data, and writing their essay. This commitment demonstrates their perseverance and determination to excel academically.
  • Attention to detail: Success in the IB Math Extended Essay requires meticulous attention to detail. Students must ensure accuracy in calculations, interpretation of results, and adherence to formatting guidelines.

By recognizing the challenging nature of the IB Math Extended Essay process, we can better appreciate the accomplishments achieved by students. Embracing this learning experience allows for further growth and development in mathematical understanding.

Embracing the learning experience

Embracing the learning experience of completing an IB Math Extended Essay involves immersing oneself in intricate mathematical concepts and adopting a mindset of curiosity and continual growth. It requires a willingness to explore complex problems, analyze data, and formulate logical arguments. Throughout the process, students are encouraged to develop a deep understanding of mathematical principles and apply them in real-world contexts. This kind of engagement fosters intellectual rigor and critical thinking skills, preparing students for future academic pursuits. Additionally, embracing the learning experience allows individuals to appreciate the beauty and elegance of mathematics as they uncover connections between different areas of study. By actively seeking out new knowledge and challenging themselves, students can gain confidence in their abilities while nurturing a passion for mathematics. Ultimately, this mindset sets the stage for sharing one’s knowledge and insights with others in the IB community, fostering collaboration and mutual growth within this supportive network.

Sharing your knowledge and insights with others in the IB community

Sharing knowledge and insights with others in the IB community can foster a collaborative learning environment that encourages mutual growth and intellectual development. By sharing our expertise, we contribute to the collective understanding of complex concepts and enhance the quality of education within the IB program. One way to facilitate this exchange is through online forums and discussion platforms, where students can seek guidance from their peers or mentors. Engaging in respectful and inclusive conversations allows for diverse perspectives to be heard, fostering an atmosphere of safety and inclusivity. Additionally, active participation in group study sessions or study groups promotes effective communication skills, critical thinking, and problem-solving abilities. Through this process of sharing knowledge, individuals not only reinforce their own understanding but also contribute to the academic success of others within the IB community.

Frequently Asked Questions

Can you provide a step-by-step guide on how to choose a research question for my ib math extended essay.

Choosing a research question for the IB Math Extended Essay involves considering personal interests, access to data, and relevance to mathematics. It is important to formulate a clear and focused question that can be answered using mathematical methods and analysis techniques.

What are some common mistakes to avoid when conducting research for an IB Math Extended Essay?

Common mistakes to avoid when conducting research for an IB Math extended essay include: insufficient planning, lack of clarity in the research question, inadequate data collection methods, ignoring relevant sources, and neglecting to analyze and interpret the results accurately.

Is it necessary to use advanced mathematical concepts and techniques in my IB Math Extended Essay, or can I stick to basic concepts?

Advanced mathematical concepts and techniques are not necessary for an IB Math extended essay. While basic concepts can be sufficient, it is important to demonstrate a thorough understanding and application of those concepts in a rigorous and logical manner.

How can I effectively incorporate real-life examples and applications of mathematics in my IB Math Extended Essay?

To effectively incorporate real-life examples and applications of mathematics in the IB Math Extended Essay, one should choose relevant and relatable topics, gather accurate data, analyze it using appropriate mathematical techniques, and draw conclusions that reflect a practical understanding of the subject matter.

Are there any specific formatting guidelines or citation styles that I should follow when writing my IB Math Extended Essay?

Yes, there are specific formatting guidelines and citation styles that should be followed when writing an IB Math Extended Essay. These guidelines ensure clarity, consistency, and academic integrity in the essay.

The IB Math Extended Essay is a challenging but rewarding task that requires effective research, application of mathematical concepts and techniques, strong introduction, coherent argument development, time management and organization skills. It is important to be prepared for challenges and roadblocks along the way while showcasing personal engagement in the essay. By following these guidelines, students can successfully complete their IB Math EE and celebrate their accomplishment.

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100 IB Extended Essay Topic Ideas!

extended essay math ideas

One of the biggest keys to the Extended Essay is choosing which subject you want to write your work in and developing that crucial research question. Read on to find inspiration for topics across a wide range of subjects.

Extended Essay: The Love/Hate aspect of the IB

One of the biggest keys to the Extended Essay is choosing which subject you want to write your work in and developing that crucial research question. Annoyingly, coming up with that idea and research question can be the toughest part of the entire process. Writing 4,000 words about something you are interested in is a big ask and it often feels impossible to narrow down your thoughts. To make everything super clear, here are 100 Extended Essay Topics for you to draw inspiration from! Use these as a springboard to create your own research question !

Get Support from A Top Tutor Today

At Lanterna we have over 300 tutors who smashed their Extended Essay. They know exactly how to get an A in your EE and can give you tips and tricks on how you can do the same. What are you waiting for? Get your own tutor today !

How to Begin Your IB Extended Essay

To make everything super clear, here are 100 Extended Essay Topics for you to draw inspiration from! Use these as a springboard to  create your own research question !

Get Support from a Top Tutor Today

At Lanterna, we have over 300 tutors who smashed their Extended Essay. They know exactly how to get an A in your EE and can give you tips and tricks on how you can do the same. What are you waiting for? Get your own tutor today!

10 Steps to Writing an Extended Essay

Before we look at specific topics for your essay, let’s recap the 10-steps you’ll need to follow to complete your extended essay.

1. Define the Topic and Draft the Research Question

2. Create a Timeline

3. Identify and gather Sources

4. Set Deadlines

5. Plan the structure according to the total word count

6. Evaluate

7. independent Research

8. Write the extended essay draft

10. Present

By following the steps above, you should be able to produce a logical and coherent rationale to follow when writing the extended essay for your IB diploma programme.

By starting with a solid research question, you’ll be able to put an extended essay of global significance together, from the research and writing process all the way through to your final submission with a favourable extended essay grade.

Below, we’re sharing 10 topics across 10 subjects to inspire your next IB extended essay.

1. How the change of habitat affects an X organism?

2. How does climate affect the growth of X plant?

3. Can photosynthesis take place without sunlight?

4. What is the effect of age and gender on the photoreceptor cells in the human retina?

5. How is climate change impacting the appearance of coral reefs?

6. An evaluation of how  antioxidants  work in our bodies?

7. Does hand sanitizer, hand soap or antibacterial wipes have the greatest ability to inhibit the growth of E. Coli?

8. To what extent do live cultures in yogurts/milk/other dairy products reduce the concentration of lactose present over the course of a 2 hour incubation period at x°C?

9. What is the relationship between  population density  between X and population size of X?

10. What is the relationship between indoleacetic acid, a growth hormone, and the growth of X (a crop)?

11. How does human influence impact an aquatic ecosystem?

12. How can one organize a pollution check along a X canal in X?

13. What is the effect of the increased ecological footprint in the  Amazon ?

14. What are the forest and woodland restoration in Siberia, Russia and which one is most effective?

15. How does human interference cause ecological imbalances in an X city/country/continent?

16. What is the impact of urban development on the  bee population  in X city?

17. What are the differences in the conversation efforts in Yosemite National Park (California, USA) and the Lake District National Park (UK)?

18. To what extent have healthcare policies in X country influenced their human population curve?

19. How have changes in environmental systems influenced the value system of X country?

20. How has X landfill site affected the surrounding terrestrial ecosystem?

21. What is the profitability of  airline companies ?

22. How does unemployment affect the market?

23. Why did X recession occur?

24. How did the financial Policy affect the economy in X?

25. How effective are government policies in reducing overconsumption of alcohol (specifically hard liquor)?

26. To what extent are public buses and subways substitute goods in a country?

27. How did the tax reform in country x affect its growth and development? (many countries to choose from)

28. To what extent was weak government policy responsible for the Latin American financial crisis of 1997?

29. How effective is the  Big Mac Index  in measuring purchasing power parity?

30. To what extent would the UK suffer from leaving the European Customs Union if Brexit happens?

31. Is there an association between viewing violence on television and the display of violent acts?

32. What motivational climate should a coach employ in order to achieve optimal performance in athletes?

33. How does  X hormone affect human behavior ?

34. Compare theories explaining altruism in human behaviour

35. Discuss short-term and long-term consequences of exposure to violence

36. Why do relationships change or end?

37. Discuss how  social variables (poverty, parenting, educational environment) may the affect cognitive environment.

38. To what extent do mirror neurons play a role in empathy? (2014)

39. To what extent does Mindfulness help people cope with General Anxiety Disorder (GAD)?

40. To what extent is drug therapy effective in the treatment of bipolar disorder?

41. Does the British Parliamentary reforms act of 1832 deserve its title as the great reform act?

42. To what extent are there similarities in Hitler and Mussolini’s Rise to Power?

43. To what extent did Mao’s tackle the problems which he faced?

44. Was Tsar Alexander II of Russia reforms a success or failure?

45. To what extent was the bombing of Dresden in 1945 justifiable?

46. To what extent can  Sweden be considered neutral during WWII ?

47. The impact of structural economic weakness on the collapse of the Soviet Union.

48. How were women treated differently in 1920s and 1950s Great Britain?

49. Why did Israel win the  Six Day War  of 1967?

50. What role did economics play in the unification of Germany from 1834 to 1871?

English Literature

51. What are the Compare and Contrast Jane Austen Books?

52. How does Joseph Conrad’s portray Racism in A Heart of Darkness?

53. How does Arthur Miller’s Death of a Salesman critique today’s capitalist society? The American Dream?

54. To what extent does Chris McCandless in Jon Krakauer’s Into the Wild escape familial influence?

55. What are the similarities and differences between J.K. Rowling’s characterization of Severus Snape in Harry Potter and the Philosopher’s Stone and Harry Potter and the Deathly Hallows?

56. How does Yaa Gyasi use structure in her novel Homegoing to portray the evolution of time?

57. What is the impact of the social context on Holden Caufield and Huckleberry Finn?

58. How does Sylvia Path’s use of Inanimate objects in Bell Jar?

59. How is the empowerment of Feminine portrayed in the Lord of the Rings?

60. Compare the political rhetoric as used in the inaugural addresses of George W. Bush, Barack Obama, and Donald Trump.

61. The design, construction and calibration of an apparatus for measuring lipid concentration in milk.

62. What is the effect of a change in the optimal lift on the horizontal gliding distance of an aircraft?

63. How does the sugar concentration affect the refractive index of water?

64. How does temperature affect the viscosity of X juice/soda?

65. Is the relationship between temperature and conductivity and insulators and conductors?

66. What is the Oberth Effect?

67. What is the temperature dependence of work performed on an AA battery?

68. How can the rotational frequency of a fan driven by a flame measure distance?

69. Do wine bottles of different shapes behave as Helmholtz resonators?

70. How does the diameter of a wheel affect stability in different weather conditions?

71. What factors influence the location of industries in country/city X?

72. An investigation into the significance of preserving the quality of water in a continent/country/city?

73. An investigation into the degree to which City X can be considered a Sustainable City/Community.

74. To what extent is Biodiversity being managed successfully in city X?

75. To what extent does the education and employment of women affect Country x’s fertility rate?

76. To what extent do gender, educational attainment, and working parameters influence obesity risk?

77. To what extent has urban development affected human thermal comfort levels in Country/city x (a country/city that has developed in a rapid rate over the past decades)?

78. To what extent is the Company x corporate waste management program effective, demonstrating environmental sustainability?

79. To what extent is biodiversity being managed successfully at National Park X?

80. What types of urban design encourage high rates of vandalism in X neighbourhoods?

81. The kinetics of Enzymatic Reactions.

82. How do Iron Intake Diets differ in X country?

83. What are the different factors that affect the iodine values in cooking oils?

84. What is the effect of standing time and temperate on the acid content in X juice or soda?

85. Can caffeine in tea or coffee be reduced?

86. What is the effect of temperature on the souring of milk?

87. What are the sources of error in calorimetry?

88. Does brushing your teeth affect the pH in your mouth after eating?

89. How does changing the concentration of the reagents affect the formation and spacing between Liesehang rings in the reaction between X chloride and X when conducted in a test tube?

90. What effect does the coating of aspirin tablets have on the hydrolysis of aspirin?

Social and Cultural Anthropology

91. How clothing relates to the cultural anthropology of X culture.

92. The extent to which social media networks affect different societies.

93. The relationship between ritual, myths and faith in an X society.

94. The history of rituals in X culture.

95. How different marriage rituals inform the cultural anthropology of X culture.

96. Climate change and its impact on the evolution of different creatures on the planet.

97. Understanding the social and cultural anthropology of the supernatural in X culture.

98. An analysis of body modification in relation to social and cultural anthropology.

100. Chaste systems and social ranks in societies.

There are so many class subjects that can form the basis of your extended essay, including these popular six subjects:

– Information technology

– Computer science

– Health science

– World studies

– Visual arts

– Business management

Extended essays are a great way to improve your writing skills in academic writing. Essays of a high standard that demonstrate critical thinking and in depth analysis can be submitted to academic journals. These have the potential to reach the global society.

Start Writing Your Extended Essay Topic

We hope this gave you some great inspiration for the variation of topics available for your Extended Essay . The research question you select is what will carry you through the entire process, so be sure to choose wisely!

Remember, if you are looking for more help with your Extended Essay, make sure to check out our guide which will tell you exactly how to plan, structure, research and write your Extended Essay!

Grab Free Extended Essay Resources!

No matter the subject groups in your diploma program, we’re here to help all of our IB students. Whether you’re writing about social and cultural anthropology, business management, design technology, or scientific methods for your IB diploma, Lanterna has you covered.

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English a & b ee examples.

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The Complete IB Extended Essay Guide: Examples, Topics, and Ideas

International Baccalaureate (IB)

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IB students around the globe fear writing the Extended Essay, but it doesn't have to be a source of stress! In this article, I'll get you excited about writing your Extended Essay and provide you with the resources you need to get an A on it.

If you're reading this article, I'm going to assume you're an IB student getting ready to write your Extended Essay. If you're looking at this as a potential future IB student, I recommend reading our introductory IB articles first, including our guide to what the IB program is and our full coverage of the IB curriculum .

IB Extended Essay: Why Should You Trust My Advice?

I myself am a recipient of an IB Diploma, and I happened to receive an A on my IB Extended Essay. Don't believe me? The proof is in the IBO pudding:

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If you're confused by what this report means, EE is short for Extended Essay , and English A1 is the subject that my Extended Essay topic coordinated with. In layman's terms, my IB Diploma was graded in May 2010, I wrote my Extended Essay in the English A1 category, and I received an A grade on it.

What Is the Extended Essay in the IB Diploma Programme?

The IB Extended Essay, or EE , is a mini-thesis you write under the supervision of an IB advisor (an IB teacher at your school), which counts toward your IB Diploma (learn more about the major IB Diploma requirements in our guide) . I will explain exactly how the EE affects your Diploma later in this article.

For the Extended Essay, you will choose a research question as a topic, conduct the research independently, then write an essay on your findings . The essay itself is a long one—although there's a cap of 4,000 words, most successful essays get very close to this limit.

Keep in mind that the IB requires this essay to be a "formal piece of academic writing," meaning you'll have to do outside research and cite additional sources.

The IB Extended Essay must include the following:

  • A title page
  • Contents page
  • Introduction
  • Body of the essay
  • References and bibliography

Additionally, your research topic must fall into one of the six approved DP categories , or IB subject groups, which are as follows:

  • Group 1: Studies in Language and Literature
  • Group 2: Language Acquisition
  • Group 3: Individuals and Societies
  • Group 4: Sciences
  • Group 5: Mathematics
  • Group 6: The Arts

Once you figure out your category and have identified a potential research topic, it's time to pick your advisor, who is normally an IB teacher at your school (though you can also find one online ). This person will help direct your research, and they'll conduct the reflection sessions you'll have to do as part of your Extended Essay.

As of 2018, the IB requires a "reflection process" as part of your EE supervision process. To fulfill this requirement, you have to meet at least three times with your supervisor in what the IB calls "reflection sessions." These meetings are not only mandatory but are also part of the formal assessment of the EE and your research methods.

According to the IB, the purpose of these meetings is to "provide an opportunity for students to reflect on their engagement with the research process." Basically, these meetings give your supervisor the opportunity to offer feedback, push you to think differently, and encourage you to evaluate your research process.

The final reflection session is called the viva voce, and it's a short 10- to 15-minute interview between you and your advisor. This happens at the very end of the EE process, and it's designed to help your advisor write their report, which factors into your EE grade.

Here are the topics covered in your viva voce :

  • A check on plagiarism and malpractice
  • Your reflection on your project's successes and difficulties
  • Your reflection on what you've learned during the EE process

Your completed Extended Essay, along with your supervisor's report, will then be sent to the IB to be graded. We'll cover the assessment criteria in just a moment.

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We'll help you learn how to have those "lightbulb" moments...even on test day!  

What Should You Write About in Your IB Extended Essay?

You can technically write about anything, so long as it falls within one of the approved categories listed above.

It's best to choose a topic that matches one of the IB courses , (such as Theatre, Film, Spanish, French, Math, Biology, etc.), which shouldn't be difficult because there are so many class subjects.

Here is a range of sample topics with the attached extended essay:

  • Biology: The Effect of Age and Gender on the Photoreceptor Cells in the Human Retina
  • Chemistry: How Does Reflux Time Affect the Yield and Purity of Ethyl Aminobenzoate (Benzocaine), and How Effective is Recrystallisation as a Purification Technique for This Compound?
  • English: An Exploration of Jane Austen's Use of the Outdoors in Emma
  • Geography: The Effect of Location on the Educational Attainment of Indigenous Secondary Students in Queensland, Australia
  • Math: Alhazen's Billiard Problem
  • Visual Arts: Can Luc Tuymans Be Classified as a Political Painter?

You can see from how varied the topics are that you have a lot of freedom when it comes to picking a topic . So how do you pick when the options are limitless?

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How to Write a Stellar IB Extended Essay: 6 Essential Tips

Below are six key tips to keep in mind as you work on your Extended Essay for the IB DP. Follow these and you're sure to get an A!

#1: Write About Something You Enjoy

You can't expect to write a compelling essay if you're not a fan of the topic on which you're writing. For example, I just love British theatre and ended up writing my Extended Essay on a revolution in post-WWII British theatre. (Yes, I'm definitely a #TheatreNerd.)

I really encourage anyone who pursues an IB Diploma to take the Extended Essay seriously. I was fortunate enough to receive a full-tuition merit scholarship to USC's School of Dramatic Arts program. In my interview for the scholarship, I spoke passionately about my Extended Essay; thus, I genuinely think my Extended Essay helped me get my scholarship.

But how do you find a topic you're passionate about? Start by thinking about which classes you enjoy the most and why . Do you like math classes because you like to solve problems? Or do you enjoy English because you like to analyze literary texts?

Keep in mind that there's no right or wrong answer when it comes to choosing your Extended Essay topic. You're not more likely to get high marks because you're writing about science, just like you're not doomed to failure because you've chosen to tackle the social sciences. The quality of what you produce—not the field you choose to research within—will determine your grade.

Once you've figured out your category, you should brainstorm more specific topics by putting pen to paper . What was your favorite chapter you learned in that class? Was it astrophysics or mechanics? What did you like about that specific chapter? Is there something you want to learn more about? I recommend spending a few hours on this type of brainstorming.

One last note: if you're truly stumped on what to research, pick a topic that will help you in your future major or career . That way you can use your Extended Essay as a talking point in your college essays (and it will prepare you for your studies to come too!).

#2: Select a Topic That Is Neither Too Broad nor Too Narrow

There's a fine line between broad and narrow. You need to write about something specific, but not so specific that you can't write 4,000 words on it.

You can't write about WWII because that would be a book's worth of material. You also don't want to write about what type of soup prisoners of war received behind enemy lines, because you probably won’t be able to come up with 4,000 words of material about it. However, you could possibly write about how the conditions in German POW camps—and the rations provided—were directly affected by the Nazis' successes and failures on the front, including the use of captured factories and prison labor in Eastern Europe to increase production. WWII military history might be a little overdone, but you get my point.

If you're really stuck trying to pinpoint a not-too-broad-or-too-narrow topic, I suggest trying to brainstorm a topic that uses a comparison. Once you begin looking through the list of sample essays below, you'll notice that many use comparisons to formulate their main arguments.

I also used a comparison in my EE, contrasting Harold Pinter's Party Time with John Osborne's Look Back in Anger in order to show a transition in British theatre. Topics with comparisons of two to three plays, books, and so on tend to be the sweet spot. You can analyze each item and then compare them with one another after doing some in-depth analysis of each individually. The ways these items compare and contrast will end up forming the thesis of your essay!

When choosing a comparative topic, the key is that the comparison should be significant. I compared two plays to illustrate the transition in British theatre, but you could compare the ways different regional dialects affect people's job prospects or how different temperatures may or may not affect the mating patterns of lightning bugs. The point here is that comparisons not only help you limit your topic, but they also help you build your argument.

Comparisons are not the only way to get a grade-A EE, though. If after brainstorming, you pick a non-comparison-based topic and are still unsure whether your topic is too broad or narrow, spend about 30 minutes doing some basic research and see how much material is out there.

If there are more than 1,000 books, articles, or documentaries out there on that exact topic, it may be too broad. But if there are only two books that have any connection to your topic, it may be too narrow. If you're still unsure, ask your advisor—it's what they're there for! Speaking of advisors...

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Don't get stuck with a narrow topic!

#3: Choose an Advisor Who Is Familiar With Your Topic

If you're not certain of who you would like to be your advisor, create a list of your top three choices. Next, write down the pros and cons of each possibility (I know this sounds tedious, but it really helps!).

For example, Mr. Green is my favorite teacher and we get along really well, but he teaches English. For my EE, I want to conduct an experiment that compares the efficiency of American electric cars with foreign electric cars.

I had Ms. White a year ago. She teaches physics and enjoyed having me in her class. Unlike Mr. Green, Ms. White could help me design my experiment.

Based on my topic and what I need from my advisor, Ms. White would be a better fit for me than would Mr. Green (even though I like him a lot).

The moral of my story is this: do not just ask your favorite teacher to be your advisor . They might be a hindrance to you if they teach another subject. For example, I would not recommend asking your biology teacher to guide you in writing an English literature-based EE.

There can, of course, be exceptions to this rule. If you have a teacher who's passionate and knowledgeable about your topic (as my English teacher was about my theatre topic), you could ask that instructor. Consider all your options before you do this. There was no theatre teacher at my high school, so I couldn't find a theatre-specific advisor, but I chose the next best thing.

Before you approach a teacher to serve as your advisor, check with your high school to see what requirements they have for this process. Some IB high schools require your IB Extended Essay advisor to sign an Agreement Form , for instance.

Make sure that you ask your IB coordinator whether there is any required paperwork to fill out. If your school needs a specific form signed, bring it with you when you ask your teacher to be your EE advisor.

#4: Pick an Advisor Who Will Push You to Be Your Best

Some teachers might just take on students because they have to and aren't very passionate about reading drafts, only giving you minimal feedback. Choose a teacher who will take the time to read several drafts of your essay and give you extensive notes. I would not have gotten my A without being pushed to make my Extended Essay draft better.

Ask a teacher that you have experience with through class or an extracurricular activity. Do not ask a teacher that you have absolutely no connection to. If a teacher already knows you, that means they already know your strengths and weaknesses, so they know what to look for, where you need to improve, and how to encourage your best work.

Also, don't forget that your supervisor's assessment is part of your overall EE score . If you're meeting with someone who pushes you to do better—and you actually take their advice—they'll have more impressive things to say about you than a supervisor who doesn't know you well and isn't heavily involved in your research process.

Be aware that the IB only allows advisors to make suggestions and give constructive criticism. Your teacher cannot actually help you write your EE. The IB recommends that the supervisor spends approximately two to three hours in total with the candidate discussing the EE.

#5: Make Sure Your Essay Has a Clear Structure and Flow

The IB likes structure. Your EE needs a clear introduction (which should be one to two double-spaced pages), research question/focus (i.e., what you're investigating), a body, and a conclusion (about one double-spaced page). An essay with unclear organization will be graded poorly.

The body of your EE should make up the bulk of the essay. It should be about eight to 18 pages long (again, depending on your topic). Your body can be split into multiple parts. For example, if you were doing a comparison, you might have one third of your body as Novel A Analysis, another third as Novel B Analysis, and the final third as your comparison of Novels A and B.

If you're conducting an experiment or analyzing data, such as in this EE , your EE body should have a clear structure that aligns with the scientific method ; you should state the research question, discuss your method, present the data, analyze the data, explain any uncertainties, and draw a conclusion and/or evaluate the success of the experiment.

#6: Start Writing Sooner Rather Than Later!

You will not be able to crank out a 4,000-word essay in just a week and get an A on it. You'll be reading many, many articles (and, depending on your topic, possibly books and plays as well!). As such, it's imperative that you start your research as soon as possible.

Each school has a slightly different deadline for the Extended Essay. Some schools want them as soon as November of your senior year; others will take them as late as February. Your school will tell you what your deadline is. If they haven't mentioned it by February of your junior year, ask your IB coordinator about it.

Some high schools will provide you with a timeline of when you need to come up with a topic, when you need to meet with your advisor, and when certain drafts are due. Not all schools do this. Ask your IB coordinator if you are unsure whether you are on a specific timeline.

Below is my recommended EE timeline. While it's earlier than most schools, it'll save you a ton of heartache (trust me, I remember how hard this process was!):

  • January/February of Junior Year: Come up with your final research topic (or at least your top three options).
  • February of Junior Year: Approach a teacher about being your EE advisor. If they decline, keep asking others until you find one. See my notes above on how to pick an EE advisor.
  • April/May of Junior Year: Submit an outline of your EE and a bibliography of potential research sources (I recommend at least seven to 10) to your EE advisor. Meet with your EE advisor to discuss your outline.
  • Summer Between Junior and Senior Year: Complete your first full draft over the summer between your junior and senior year. I know, I know—no one wants to work during the summer, but trust me—this will save you so much stress come fall when you are busy with college applications and other internal assessments for your IB classes. You will want to have this first full draft done because you will want to complete a couple of draft cycles as you likely won't be able to get everything you want to say into 4,000 articulate words on the first attempt. Try to get this first draft into the best possible shape so you don't have to work on too many revisions during the school year on top of your homework, college applications, and extracurriculars.
  • August/September of Senior Year: Turn in your first draft of your EE to your advisor and receive feedback. Work on incorporating their feedback into your essay. If they have a lot of suggestions for improvement, ask if they will read one more draft before the final draft.
  • September/October of Senior Year: Submit the second draft of your EE to your advisor (if necessary) and look at their feedback. Work on creating the best possible final draft.
  • November-February of Senior Year: Schedule your viva voce. Submit two copies of your final draft to your school to be sent off to the IB. You likely will not get your grade until after you graduate.

Remember that in the middle of these milestones, you'll need to schedule two other reflection sessions with your advisor . (Your teachers will actually take notes on these sessions on a form like this one , which then gets submitted to the IB.)

I recommend doing them when you get feedback on your drafts, but these meetings will ultimately be up to your supervisor. Just don't forget to do them!

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The early bird DOES get the worm!

How Is the IB Extended Essay Graded?

Extended Essays are graded by examiners appointed by the IB on a scale of 0 to 34 . You'll be graded on five criteria, each with its own set of points. You can learn more about how EE scoring works by reading the IB guide to extended essays .

  • Criterion A: Focus and Method (6 points maximum)
  • Criterion B: Knowledge and Understanding (6 points maximum)
  • Criterion C: Critical Thinking (12 points maximum)
  • Criterion D: Presentation (4 points maximum)
  • Criterion E: Engagement (6 points maximum)

How well you do on each of these criteria will determine the final letter grade you get for your EE. You must earn at least a D to be eligible to receive your IB Diploma.

Although each criterion has a point value, the IB explicitly states that graders are not converting point totals into grades; instead, they're using qualitative grade descriptors to determine the final grade of your Extended Essay . Grade descriptors are on pages 102-103 of this document .

Here's a rough estimate of how these different point values translate to letter grades based on previous scoring methods for the EE. This is just an estimate —you should read and understand the grade descriptors so you know exactly what the scorers are looking for.

Here is the breakdown of EE scores (from the May 2021 bulletin):

How Does the Extended Essay Grade Affect Your IB Diploma?

The Extended Essay grade is combined with your TOK (Theory of Knowledge) grade to determine how many points you get toward your IB Diploma.

To learn about Theory of Knowledge or how many points you need to receive an IB Diploma, read our complete guide to the IB program and our guide to the IB Diploma requirements .

This diagram shows how the two scores are combined to determine how many points you receive for your IB diploma (3 being the most, 0 being the least). In order to get your IB Diploma, you have to earn 24 points across both categories (the TOK and EE). The highest score anyone can earn is 45 points.

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Let's say you get an A on your EE and a B on TOK. You will get 3 points toward your Diploma. As of 2014, a student who scores an E on either the extended essay or TOK essay will not be eligible to receive an IB Diploma .

Prior to the class of 2010, a Diploma candidate could receive a failing grade in either the Extended Essay or Theory of Knowledge and still be awarded a Diploma, but this is no longer true.

Figuring out how you're assessed can be a little tricky. Luckily, the IB breaks everything down here in this document . (The assessment information begins on page 219.)

40+ Sample Extended Essays for the IB Diploma Programme

In case you want a little more guidance on how to get an A on your EE, here are over 40 excellent (grade A) sample extended essays for your reading pleasure. Essays are grouped by IB subject.

  • Business Management 1
  • Chemistry 1
  • Chemistry 2
  • Chemistry 3
  • Chemistry 4
  • Chemistry 5
  • Chemistry 6
  • Chemistry 7
  • Computer Science 1
  • Economics 1
  • Design Technology 1
  • Design Technology 2
  • Environmental Systems and Societies 1
  • Geography 1
  • Geography 2
  • Geography 3
  • Geography 4
  • Geography 5
  • Geography 6
  • Literature and Performance 1
  • Mathematics 1
  • Mathematics 2
  • Mathematics 3
  • Mathematics 4
  • Mathematics 5
  • Philosophy 1
  • Philosophy 2
  • Philosophy 3
  • Philosophy 4
  • Philosophy 5
  • Psychology 1
  • Psychology 2
  • Psychology 3
  • Psychology 4
  • Psychology 5
  • Social and Cultural Anthropology 1
  • Social and Cultural Anthropology 2
  • Social and Cultural Anthropology 3
  • Sports, Exercise and Health Science 1
  • Sports, Exercise and Health Science 2
  • Visual Arts 1
  • Visual Arts 2
  • Visual Arts 3
  • Visual Arts 4
  • Visual Arts 5
  • World Religion 1
  • World Religion 2
  • World Religion 3

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