maths extended essay criteria

IB Extended Essay: Assessment Criteria

• Research Questions
• Past Essays
• Notes & Outlines
• Works Cited Page
• In-Text Citations
• Assessment Criteria
• Reflections
• Supervisor Info
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Score Descriptors for each Criterion:

• A - Focus and Method
• B - Knowledge and Understanding
• C - Critical Thinking
• D - Presentation
• E - Engagement

Printable: Full Rubric  for all subjects

To view details for your SUBJECT, open the correct page below.

• Choose "Interpreting the EE Assessment Criteria" on the sidebar to see how to score well in YOUR subject area

Language & literature (language A)

Language acquisition (language B)

Mathematics

Visual Arts

World Studies

Business Management

Grade Boundaries

What's Expected?

• A: Focus/Method
• B: Knowledge
• C: Critical Thinking
• D: Presentation
• E: Engagement
• A: Focus and Method (6 marks)
• B: Knowledge and Understanding (6 marks)
• C: Critical Thinking (12 marks)
• D: Presentation (4 marks)
• E: Engagement (6 marks)
• Total marks possible: 34 (see grade boundaries below)
• Printable:  Full Rubric
• Printable: A3 size with details
• Printable:  Details for each criterion , via the Oxford guide

Criterion A:  Focus and Method (6 points)

What It Means:   This criterion focuses on the topic, the research question and the methodology. It assesses the explanation of the focus of the research (this includes the topic and the research question), how the research will be undertaken, and how the focus is maintained throughout the essay.

Questions to ask:  

• Does this essay meet the requirements for the subject for which you are registering it?
• Is your research question stated as a question?
• Have you explained how your research question relates to the subject that you selected for the extended essay?
• Have you given an insight into why your area of study is important?
• Is your research question feasible within the scope of the task? Could your research question be “answered” or it is too vague?
• Did you refer to your research question throughout the essay (not only in the introduction and conclusion)?
• Did you explain why you selected your methodology?
• Are there other possible methods that could be used or applied to answer your research question? How might this change the direction of your research?
• If you stated a particular methodology in the introduction of your essay, or specific sources, have you used them?
• Are there any references listed in the bibliography that were not directly cited in the text?

(Source: Susan Trower, via West Sound Academy)

Criterion B:  Knowledge and Understanding (6 points)

What It Means:   This criterion assesses the extent to which the research relates to the subject area/discipline used to explore the research question; or in the case of the world studies extended essay, the issue addressed and the two disciplinary perspectives applied; and additionally, the way in which this knowledge and understanding is demonstrated through the use of appropriate terminology and concepts.

• Have you explained how your research question relates to a specific subject you selected for the extended essay?
• Have you used relevant terminology and concepts throughout your essay as they relate to your particular area of research?
• Is it clear that the sources you are using are relevant and appropriate to your research question?
• Do you have a range of sources, or have you only relied on one particular type, for example internet sources?
• Is there a reason why you might not have a range? Is this justified?

(Source: Oxford EE manual, p. 110)

Criterion C:  Critical Thinking (12 points)

What It Means:   This criterion assesses the extent to which critical thinking skills have been used to analyze and evaluate the research undertaken.

• Have you made links between your results and data collected and your research question?
• If you included data or information that is not directly related to your research question have you explained its importance?
• Are your conclusions supported by your data?
• If you found unexpected information or data have you discussed its importance?
• Have you provided a critical evaluation of the methods you selected?
• Have you considered the reliability of your sources (peer-reviewed journals, internet, and so on)?
• Have you mentioned and evaluated the significance of possible errors that may have occurred in your research?
• Are all your suggestions of errors or improvements relevant?
• Have you evaluated your research question?
• Have you compared your results or findings with any other sources?
• Is there an argument that is clear and easy to follow and directly linked to answering your research question, and which is supported by evidence? Are there other possible methods that could be used or applied to answer your research question? How might this change the direction of your research?

(Source: Oxford EE Manual p. 111)

Handy Links:

• Presentation One Pager  via Catalina Bordoy
• Presentation Checklist
• Sample Title page   (see below - top half of the page)

Criterion D:  Presentation ( 4 points)

What It Means:   This criterion assesses the extent to which the presentation follows the standard format expected for academic writing and the extent to which this aids effective communication.

• Have you read and understood the presentation requirements of the extended essay?
• Have you chosen a font that will be easy for examiners to read on-screen?
• Is your essay double-spaced and size 12 font?
• Are the title and research question mentioned on the cover page?
• Are all pages numbered?
• Have you prepared a correct table of contents?
• Do the page numbers in the table of contents match the page numbers in the text?
• Is your essay subdivided into correct sub-sections, if this is applicable to the subject?
• Are all figures and tables properly numbered and labelled?
• Does your bibliography contain only the sources cited in the text?
• Did you use the same reference system throughout the essay?
• Does the essay have less than 4,000 words?
• Is all the material presented in the appendices relevant and necessary?
• Have you proofread the text for spelling or grammar errors?

Criterion E: Engagement

• Three reflections (best after meeting with your supervisor)
• 500 words TOTAL (100 + 150 + 250?)
• Reflections are done in Managebac on your Reflection space
• See the "Reflections" tab above for prompts to write about

(Source: Oxford EE Manual p.135)

(Source: Oxford EE Manual p.133)

• Sample Reflections
• Full chapter on Reflections from the Oxford Guide

Criterion E:  Engagement (6 points)

What It Means:   This criterion assesses the student’s engagement with their research focus and the research process. It will be applied by the examiner at the end of the assessment of the essay, after considering the student’s RPPF (Reflections on planning and progress form).

• Have you demonstrated your engagement with your research topic and the research process?
• Have you highlighted challenges you faced and how you overcame them?
• Will the examiner get a sense of your intellectual and skills development?
• Will the examiner get a sense of your creativity and intellectual initiative?
• For prompts to deepen your reflections, go  here  and then to the bottom of the page
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Extended Essay: Group 5: Mathematics

• General Timeline
• Group 1: English Language and Literature
• Group 2: Language Acquisition
• Group 3: Individuals and Societies
• Group 4: Sciences
• Group 5: Mathematics
• Group 6: The Arts
• Interdisciplinary essays
• Six sub-categories for WSEE
• IB Interdisciplinary EE Assessment Guide
• Brainstorming
• Pre-Writing
• Research Techniques
• The Research Question
• Paraphrasing, Summarising and Quotations
• Writing an EE Introduction
• Writing the main body of your EE
• Writing your EE Conclusion
• Sources: Finding, Organising and Evaluating Them
• Conducting Interviews and Surveys
• Citing and Referencing
• Check-in Sessions
• First Formal Reflection
• Second Formal Reflection
• Final Reflection (Viva Voce)
• Researcher's Reflection Space (RRS) Examples
• Information for Supervisors
• How is the EE Graded?
• EE Online Resources
• Stavanger Public Library
• Exemplar Essays
• Extended Essay Presentations
• ISS High School Academic Honesty Policy

Mathematics

An extended essay (EE) in mathematics is intended for students who are writing on any topic that has a mathematical focus and it need not be confined to the theory of mathematics itself.

Essays in this group are divided into six categories:

• the applicability of mathematics to solve both real and abstract problems
• the beauty of mathematics—eg geometry or fractal theory
• the elegance of mathematics in the proving of theorems—eg number theory
• the history of mathematics: the origin and subsequent development of a branch of mathematics over a period of time, measured in tens, hundreds or thousands of years
• the effect of technology on mathematics:
• in forging links between different branches of mathematics,
• or in bringing about a new branch of mathematics, or causing a particular branch to flourish.

These are just some of the many different ways that mathematics can be enjoyable or useful, or, as in many cases, both.

For an Introduction in a Mathematics EE look HERE . 

Choice of topic

The EE may be written on any topic that has a mathematical focus and it need not be confined to the theory of mathematics itself.

Students may choose mathematical topics from fields such as engineering, the sciences or the social sciences, as well as from mathematics itself.

Statistical analyses of experimental results taken from other subject areas are also acceptable, provided that they focus on the modeling process and discuss the limitations of the results; such essays should not include extensive non-mathematical detail.

A topic selected from the history of mathematics may also be appropriate, provided that a clear line of mathematical development is demonstrated. Concentration on the lives of, or personal rivalries between, mathematicians would be irrelevant and would not score highly on the assessment criteria.

It should be noted that the assessment criteria give credit for the nature of the investigation and for the extent that reasoned arguments are applied to an appropriate research question.

Students should avoid choosing a topic that gives rise to a trivial research question or one that is not sufficiently focused to allow appropriate treatment within the requirements of the EE.

Students will normally be expected either to extend their knowledge beyond that encountered in the Diploma Programme mathematics course they are studying or to apply techniques used in their mathematics course to modeling in an appropriately chosen topic.

However, it is very important to remember that it is an essay that is being written, not a research paper for a journal of advanced mathematics, and no result, however impressive, should be quoted without evidence of the student’s real understanding of it.

Example and Treatment of Topic

Examples of topics

These examples are just for guidance. Students must ensure their choice of topic is focused (left-hand column) rather than broad (right-hand column

Treatment of the topic

Whatever the title of the EE, students must apply good mathematical practice that is relevant to the

chosen topic, including:

• data analysed using appropriate techniques

• arguments correctly reasoned

• situations modeled using correct methodology

• problems clearly stated and techniques at the correct level of sophistication applied to their solution.

Research methods

Students must be advised that mathematical research is a long-term and open-ended exploration of a set of related mathematical problems that are based on personal observations. 

The answers to these problems connect to and build upon each other over time.

Students’ research should be guided by analysis of primary and secondary sources.

A primary source for research in mathematics involves:

• data-gathering

• visualization

• abstraction

• conjecturing

• proof.

A secondary source of research refers to a comprehensive review of scholarly work, including books, journal articles or essays in an edited collection.

A literature review for mathematics might not be as extensive as in other subjects, but students are expected to demonstrate their knowledge and understanding of the mathematics they are using in the context of the broader discipline, for example how the mathematics they are using has been applied before, or in a different area to the one they are investigating.

Writing the essay

Throughout the EE students should communicate mathematically:

• describing their way of thinking

• writing definitions and conjectures

• using symbols, theorems, graphs and diagrams

• justifying their conclusions.

There must be sufficient explanation and commentary throughout the essay to ensure that the reader does not lose sight of its purpose in a mass of mathematical symbols, formulae and analysis.

The unique disciplines of mathematics must be respected throughout. Relevant graphs and diagrams are often important and should be incorporated in the body of the essay, not relegated to an appendix.

However, lengthy printouts, tables of results and computer programs should not be allowed to interrupt the development of the essay, and should appear separately as footnotes or in an appendix. Proofs of key results may be included, but proofs of standard results should be either omitted or, if they illustrate an important point, included in an appendix.

Examples of topics, research questions and suggested approaches

Once students have identified their topic and written their research question, they can decide how to

research their answer. They may find it helpful to write a statement outlining their broad approach. These

examples are for guidance only.

An important note on “double-dipping”

Students must ensure that their EE does not duplicate other work they are submitting for the Diploma Programme. For example, students are not permitted to repeat any of the mathematics in their IA in their EE, or vice versa.

The mathematics EE and internal assessment

An EE in mathematics is not an extension of the internal assessment (IA) task. Students must ensure that they understand the differences between the two.

• The EE is a more substantial piece of work that requires formal research
• The IA is an exploration of an idea in mathematics.

It is not appropriate for a student to choose the same topic for an EE as the IA. There would be too much danger of duplication and it must therefore be discouraged.

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Sat / act prep online guides and tips, the complete ib extended essay guide: examples, topics, and ideas.

International Baccalaureate (IB)

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:

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.

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?

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...

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!

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.

30-34	Excellent: A
25-29	Good: B
17-24	Satisfactory: C
9-16	Mediocre: D
0-8	Elementary: E

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

A	10.1%
B	24.4%
C	40.8%
D	22.5%
E	1.4%
N (No Grade Awarded)	0.7%

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.

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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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.

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.

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…

Read More About:

IB Design Technology IA Guide

IB Economics IA Guide

IB Economics Syllabus New Pattern & Changes

IB ESS (Environmental Systems and Societies) IA - Step By Step Guide

IB Exams Guide - Essential Study Tips

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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Extended Essay

• Mathematics
• Studies in language and literature
• World studies extended essay
• Visual arts
• Language Acquisition

Mathematics Sample A

Extended Essay: Exemplar Commentary
Subject	Maths	If applicable, theme for WSEE
If applicable, category for language essays		If applicable, subjects used for WSEE
Title of essay	The Mathematics of the Rainbow
Essay number	A	Examination session	May 2014
Assessment of extended essay
Criteria	Mark awarded	Commentary
A: Focus and method [6]	4	There is a clearly focussed topic and research question, but the methodology a little lacking—it’s all rather repetitive. In a sense it’s one short essay repeated four times, and this repetition should be avoided. Both the research question and the methodology needed greater thought. A more effective essay would have gone on to explore some other aspect of rainbows, perhaps after the secondary rainbow. Exploring the “ends” of the rainbow, perhaps.
B: Knowledge and understanding [6]	5	Good knowledge and understanding shown, and an effective commentary runs through the essay. The use of mathematical terminology is good.
C: Critical thinking [12]	8	This is a good, well written essay, but Snell’s Equation, which was crucial, was stated without justification or example. Basically, the same approach is taken four times in looking at four types of rainbow, so it’s rather repetitive. That Snell’s Equation is taken from physics doesn’t make this inappropriate as a maths essay, as the candidate has taken a situation from physics and analysed it in a mathematical manner. The repetition keeps the essay out of the 10-12 range, but the clear analysis and discussion puts it firmly in 7-9.
D: Presentation [4]	4	Well presented. All requirements are here.
E: Engagement [6] (not included)		The assessment of an accompanying RPPF will affect the overall mark awarded and the grade achieved.
Total marks awarded	21/28	As a maths essay it’s a little flawed, but as a learning process with a successful outcome it is very good. Please note: as a result of modifying existing extended essays for illustrative purposes, not all exemplars have an accompanying RPPF for assessment under criterion E (this is a mandatory element for all essays as of 2018). As a result, this essay has been marked out of 28 rather than 34.

Mathematics Sample B

Extended Essay: Exemplar Commentary
Subject	Maths	If applicable, theme for WSEE
If applicable, category for language essays		If applicable, subjects used for WSEE
Title of essay	Fractals
Essay number	B	Examination session
Assessment of extended essay
Criteria	Mark awarded	Commentary
A: Focus and method [6]	5	A clearly developed research question is communicated well in a good introduction. Some relevant sources are used, but it’s all a little over-ambitious and the candidate’s mathematics skills clearly aren’t up to it—but that doesn’t affect a good mark here.
B: Knowledge and understanding [6]	3	There is rather poor use of mathematical terminology. Knowledge and real understanding seems limited, and too often results are quoted with no real understanding evident and no attempt at justification. Fractals is a topic for the most mathematically able, not the case here.
C: Critical thinking [12]	4	Adequate is perhaps a little generous; the research is appropriate, but the analysis and discussion are mathematically adequate at best. An over-ambitious choice, the candidate’s mathematics skills weren’t up to the task. There’s too much imprecise discussion that is not backed up by mathematical evidence.
D: Presentation [4]	2	Some very poor graphs and poorly presented mathematics.
E: Engagement [6] (not included)	4	Based on the evidence in the essay and on the RPPF, this is a good reflection, where the candidate’s desire to link maths and art leads to an exploration of fractals and hence to a refined RQ to explore the Mandelbrot and Julia sets and then to try to link them together. Good level of personal engagement shown.
Total marks awarded	18/34	The reflection probably doesn’t acknowledge that the student has taken on too much and his mathematics isn’t up to the task. A good try, but the mathematics here is very difficult—an over ambitious choice.

Mathematics Sample C

Extended Essay: Exemplar Commentary
Subject	Maths	If applicable, theme for WSEE
If applicable, category for language essays		If applicable, subjects used for WSEE
Title of essay	Area under a Curve
Essay number	C	Examination session
Assessment of extended essay
Criteria	Mark awarded	Commentary
A: Focus and method [6]	2	The research question was never clearly expressed; it’s a fairly poorly done investigation into standard area under a curve methods, which is too broad a topic. There is no effective research question, so there is limited methodology to solve it.
B: Knowledge and understanding [6]	3	Limited real understanding is shown, it’s all rather standard bookwork. Verifying the Trapezium rule for a straight line and Simpson’s rule for a quadratic is simply ridiculous—the answers have to be correct. Little real understanding evident. It is a lightweight essay, but the mathematical terminology used is accurate, lifting the mark to a 3.
C: Critical thinking [12]	3	A poorly thought out and poorly stated research question meant this became basically just bookwork, poorly and inadequately explaining the methods used. There is clearly a lack of real reflection as the candidate failed to come up with any effective question to explore. Poor and limited research analysis and discussion.
D: Presentation [4]	2	Graphs are poor—there are far better ways of drawing a straight line than opting for a calculator screen dump—particularly from a very poor GDC that draws a straight line as a step graph!
E: Engagement [6] (not included)		The assessment of an accompanying RPPF will affect the overall mark awarded and the grade achieved.
Total marks awarded	12/28	A disappointing EE. Had the student used the reflection document to really think about what he was doing, he would surely have been able to formulate an effective RQ. As it was, he has just listed, inadequately, methods for area under a curve. A poor essay. Please note: as a result of modifying existing extended essays for illustrative purposes, not all exemplars have an accompanying RPPF for assessment under criterion E (this is a mandatory element for all essays as of 2018). As a result, this essay has been marked out of 28 rather than 34.

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IB Math EE: The Complete Guide for IB Students in 2023

by  Antony W

February 20, 2023

While it’s one of the most dreaded subjects in the IB program, the IB Math EE can be such an interesting area to explore if you love new challenges and can work with numbers.

In this guide, we’ll cover everything you need to know about IB Mathematics EE and even give you some tips to help you score top marks – if not a 34 in the IB program .

IB Math EE is a subject with its own level of difficulty. It requires in-depth research, prior planning, and writing a comprehensive extended essay in a way that aligns with the set guidelines.

If you read this guide carefully and implement the advice we give, we’re confident that you’ll score the grades that you desire for the assignment.

Before we get to anything else, it’s important that you have an interest in Math, a focused approach, and a mathematical aptitude and reasoning. Collectively, these characteristics will help you do well in the subject. 

What’s IB Math Extended Essay?

The Math Extended Essay is a comprehensive research paper on any topic with a mathematical emphasis, including but not limited to mathematics theory. The IB groups math Extended Essays into six categories:

• The applicability of mathematics to solve both real and abstract problems
• The beauty of mathematics, examples include: geometry or fractal theory
• The application of mathematics in the proving of theorems, for example, number theory
• The history of mathematics: the origin and subsequent development of a branch of mathematics over some time, measured in tens, hundreds, or thousands of years
• The effect of technology on mathematics
• In creating links between different branches of mathematics,
• Or in bringing about a new branch of mathematics or causing a particular branch to flourish.

What IB is trying to communicate is quite simple.

If anything, the Math Extended Essay can be either an extension of the Math syllabus or an application of the practical knowledge you gained in your classroom.

IB Math EE vs IB Math IA

One of the most common mistakes that IB students make is to assume that Math EE and Math IA mean the same thing.

So before we discuss the Math EE any further, let’ make sure you understand the difference between an EE and an IA.

Extended Essays are more rigorous and formal. They require you to conduct primary and secondary research on a research question that you pick based on the subject you have chosen to study.

Because the EE is a self-researched essay, unlike the IA, your mentor may not be able to provide you with all of the answers you require.

An Internal Assessment, on the other hand, requires you to explore and investigate an idea, but it’s less formal than an Extended Essay. 

For their IB Diploma Program, students must write one Extended Essay on a subject of their choice. However, they will have to write an IA for all their subjects.

The subject teacher grades internal assessments, which are subsequently moderated externally. Examiners appointed by the IB mark Extended Essays externally. Your overall score/points are determined by adding your Extended Essay grade to your Theory of Knowledge Essay/Exhibition grade.

Tips to Help You Get a 7 in IB Math

The following tips will help you to revise well for your IB Math AA or IB Math AI and place you in the position where you’re likely to score a 7:

1. Break a Big Topic into Smaller Topics

Break down a broad Math topic and categorize it into smaller themes before you begin your revision. It’s important to do this to figure out where new knowledge fits into the wider picture.

We understand that breaking down a subject into smaller topic is a little out of the ordinary for math revision because many students tend to leap right into practice almost immediately.

However, splitting a huge subject into smaller and easily manageable sections makes it easy for you to filter each inquiry type and fit the information into your pre-existing mental models.

So get a blank piece of paper, and create a bullet list of all the themes, sub-topics and question types you wish to practice.

2. Read, Analyze, and Understand the Subject Guideline

IB is quite detailed, and all of the questions tested in the examinations are in the guide's curriculum. Read the content, as doing so will direct your learning and show you every type of question you might encounter.

Make a list of all the questions that you’re likely to do in the upcoming examinations by going over each unit's sub-topics that IB could evaluate you, along with examples.

Because the approach provides a personalized checklist of questions the IB can ask, this strategy will lead you through the whole revision process.

Final Thoughts

In May 2021, IB made significant changes to its mathematics subject by dividing it into IB Math AA and IB Math AI . F

rom the time the changes took effect, IB students have the option to choose between the two subject segments depending on their strength and background in Math as well as their future goals.

While the changes give you some kind of flexibility, it does bring with it new challenges to tackle.

And if you don’t know how to get your head around the subject, it can be too complex to handle.

As people who’ve done Math AA and Math AI for as long as we can remember, we know there are those who love to work with numbers and those who label themselves as “not Math people”.

Regardless of where your stand is, the tips we’ve shared in this guide should help you do well in your Math EE.

Extended Essay Writers

How to Write a Math Extended Essay? A Comprehensive Guide

Luke MacQuoid

Ah, the Math extended essay! It’s an excellent opportunity for students in the IB program to showcase their knack for numbers. From my experience, crafting an impactful essay requires mathematical talent and a solid understanding of what makes a paper genuinely resonate.

Throughout this article, you’ll find gems on selecting Math extended essay topics , how to structure your essay, and even some common pitfalls to avoid. So, let’s jump right in, shall we?

What is a Math Extended Essay?

You may be pondering, “What is a Math extended essay?” According to the IB criteria, this piece is a 4,000-word research document that prompts students to research a mathematical topic of interest thoroughly. It’s not just an ordinary research paper; think of it as your gateway to mastering a subject you’re genuinely passionate about. Trust me, from my experience, it’s a pivotal component of your academic growth.

Let’s clarify further. Math extended essay isn’t just a routine school assignment you might complete on a typical day. Instead, it’s a comprehensive exploration of a distinct topic within Mathematics. But remember, it’s not all about numbers or equations. It’s about showcasing your ability to reason, analyze, and communicate your findings in writing.

Here are all the critical elements of a top-notch Math extended essay :

• Clear Thesis . A strong paper begins with a defined proposition or statement set for investigation.
• Thorough Research . Look into reputable sources, journals, and academic papers. Absorb as much relevant information as possible.
• Logical Flow . Your essay should transition smoothly from one topic to the next, ensuring readers can follow your train of thought easily.
• In-depth Analysis . Beyond stating facts, analyze them critically and draw your conclusions.
• Personal Touch . Reflect on your genuine interest and connection with the topic.
• Effective Expression . Aim for clarity in your writing, ensuring readers can quickly grasp your points.
• Ethical Standards . Properly cite all your sources and avoid any form of plagiarism.
• Reflection . Share insights on your learning process, the challenges faced, and the strategies you employed to address them.

So, you might wonder, “Why take on such a demanding task?” Here’s the thing: based on what I’ve learned and observed, the Math extended essay plays a significant role in the IB program. It’s essential for obtaining your IB diploma and can significantly enhance your college application. More importantly, it’s an opportunity to challenge yourself academically, fostering intellectual growth.

Committing to this task and seeing it through will be a significant academic accomplishment. Best of luck!

Getting Started with Your Math Extended Essay

The inception of any great essay starts with topic selection and understanding the guidelines, naturally.

Topic Selection

Choosing the right topic is the first milestone. Think about the Mathematical areas that captivate your interest. Whether it’s the logic of algebra, the complexity of calculus, or any other field, there’s a vast Mathematical universe to explore. While broad subjects might seem tempting, concentrating on specific IB Math extended essay topics is often more effective. Your issue should be clear-cut and straightforward and uphold strong academic integrity in line with IB standards.

Understanding Guidelines

After settling on a topic, it’s essential to acquaint yourself with the IB’s precise expectations . From my experience, grasping these guidelines is foundational to the essay’s success:

• The IB has detailed guidelines regarding the structure and layout of extended essays. Ensure you’re well-versed in font choice, spacing, and the like.
• While the IB often leans towards MLA or APA citation styles, be sure to check the style preferred by your institution. Accurate citations aren’t just about avoiding plagiarism; they lend authenticity to your work.
• IB evaluates your extended essay based on distinct criteria, such as clarity, depth of knowledge, presentation, and personal connection to the topic. Familiarizing yourself with these parameters can guide your research and writing trajectory.
• The extended essay process in the IB program includes consultations with a designated supervisor. These sessions are golden opportunities to glean insights and refine your approach.

In essence, the proper groundwork ensures a smoother path ahead. With a compelling topic and a robust grasp of the IB guidelines, you’re primed to craft a stellar Math extended essay. Embrace the process and aim for excellence!

Math Extended Essay: Research and Planning

Research is the backbone of your essay! Adequate preparation is necessary for a subject as complex and layered as Math.

Behind every successful essay is a bedrock of meticulous research and detailed planning. Given the intricate nature of Mathematics, gathering your tools and strategies is paramount before plunging into the writing phase. First, seek out robust platforms that offer a plethora of verified information :

• Online Databases . Websites like JSTOR , Google Scholar , and MathSciNet host a rich collection of articles, papers, and journals dedicated to Mathematics.
• Academic Journals . Publications such as the “American Journal of Mathematics” or the “European Journal of Mathematics” provide peer-reviewed papers on many topics.
• University Libraries . Many universities offer access to their digital libraries, which can be goldmines for in-depth research.
• Professors and Mentors . Never underestimate the power of a conversation. Sometimes, discussing your topic with experts can lead to new insights and perspectives.

Remember, the depth and breadth of your research directly influence the strength of your arguments. Always verify the authenticity of your sources; a well-researched essay stands tall among its peers.

Timeline for Writing Math Extended Essay

Managing time is a lifesaver in the whirlwind of IB coursework, deadlines, and extracurriculars. Crafting a detailed timeline ensures you stay on track and prevents last-minute scrambles.

• Exploration . Dedicate the initial phase to exploring potential topics, understanding guidelines, and preliminary reading.
• Intensive Research . This phase involves deep diving into your chosen topic, gathering data, and organizing your findings.
• Drafting . Begin with an initial draft. Lay down your arguments, flesh out your thoughts, and structure your content.
• Review and Refinement . Revisit your draft, make necessary revisions, and incorporate feedback from peers or mentors.
• Finalization . Proofread, ensure adherence to guidelines, and prepare for submission.

Breaking down your process into manageable chunks alleviates stress and enhances the quality of your work.

Need help with your IB extended essay?

From research and analysis to structuring and editing, our skilled mentors will be by your side, helping you craft an exceptional extended essay that not only meets the wordcount and stringent IB criteria but also reflects your passion for selected IB group .

To wrap it up, remember that while the task might seem daunting, meticulous research and detailed planning are your allies. Harness them wisely; your Math extended essay will meet and exceed expectations. Happy researching!

Structuring Your Math Extended Essay

Organization is key, folks! How you structure your essay could make or break your grade.

Introduction

Your introduction should present the issue you’re investigating, why it matters, and how you plan to tackle it. This part is the roadmap of your essay; it sets the tone for the reader.

In this section, present your research, arguments, and findings. Dabble in some theory, show your equations or models, and remember to analyze their relevance. As you go, remember to build a logical flow. Use transition words to guide your reader through your discussion.

It is where you tie all your findings together. A well-crafted conclusion leaves a lasting impression, briefly highlighting your significant discoveries and their implications.

Math Extended Essay: Common Mistakes to Avoid

When creating an essay of the caliber expected for the IB program, the devil is often in the details. Many students have sailed through the bulk of their paper writing only to stumble near the finish line due to seemingly minor oversights. Awareness of these pitfalls is essential, especially in an undertaking as significant as the Math extended essay.

A common trap that students often fall into is vagueness. One might use ambiguous phrases or general statements to sound sophisticated or cover a wide range of ideas. Instead of making broad claims, focus on your main idea and flesh it out with detail and precision. 

Another critical area that cannot be overemphasized is plagiarism. While it’s tempting to borrow a perfectly phrased sentence or a well-structured argument, doing so without proper attribution is academically dishonest and can jeopardize your entire essay. When in doubt, always give credit where credit is due.

Another often overlooked aspect is the flow and structure of the essay. Transitioning smoothly from one point to the next, ensuring that each segment of your paper leads seamlessly into the next, can make a difference in your work’s overall quality and readability.

Review and Revision in Math Extended Essay

One of the most powerful tools in this phase is peer review. While you’ve been deeply engrossed in your essay and every argument, equation, and citation, there’s immense value in having another set of eyes scan your work. It doesn’t necessarily mean someone who’s an expert in your topic but can provide a fresh perspective. They can identify areas that might be unclear to a new reader.

Following peer review, there’s the intricate task of editing and proofreading. While these terms are often used interchangeably, they serve distinct purposes. Editing is all about refining the content. Proofreading, on the other hand, is about the nitty-gritty. It ensures that your grammar is spot-on and that there are no misplaced punctuations.

In all of this, reflection is a vital element often overlooked. Taking a step back, setting your essay aside for a day or two, and returning to it with renewed vigor is immensely beneficial. With a fresh mindset, you might find new angles to consider or realize there are redundant points that can be removed.

To Sum It Up

Writing a Math extended essay can be challenging but also incredibly rewarding. So, according to general IB criteria and years of personal experience, the time and effort you invest in this project will be well worth it. Good luck, young scholars!

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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• Assessment of the Extended Essay
• IB Core and Philosophy
• Extended Essay

How is the Extended Essay Assessed?

From May 2018 new assessment criteria and a new emphasis was implemented for the Extended Essay. On this page we will look at the criteria, how they relate to ESS and World Studies essays and what this means for the Extended Essay process.

This information is adapted from the IB's own TSM for Extended Essays which you can find on the Programme Resource Centre of MyIB. It is very comprehensive and worth a look.

There are five criteria with a total of 34 marks

A: Focus and Method (total 6 marks)

B: Knowledge and Understanding (total 6 marks)

C: Critical Thinking (total 12 marks)

D: Presentation (total 4 marks)

E: Engagement (total 6 marks)

The grade boundaries in 2018 were as follows:

Grade	From	To
A	27	34
B	21	26
C	14	20
D	7	13
E	0	6

To guarantee a pass you need 7 points.

Overall, the IB does not expect perfection or originality in the EE but credit should be given to the following/compliance of the subject criteria. 

Best fit approach

The aim is to find the mark band descriptor that conveys most accurately the level attained by the candidate's work, using the  best fit  approach.

A best fit approach means that compensation should be made when a piece of work matches aspects of different mark bands.

The mark awarded should be one that most fairly reflects the balance of achievement against the mark band.

It is not necessary for every indicator within a mark band to be met for a mark to be awarded in a mark band.

 Criterion A: Focus and Method

In this criteria, the examiner looks at the development of the research question and how the methodology will address the question. The examiner wants to see a focus on the research question throughout the essay and not just at the start and end.

Question	ESS Advice
What the criterion focus on?	The topic,the research question and the methodology The student should refer to the RQ throughout the essay - its worthwhile to add the RQ to a header on the document whilst completing the essay.   It assesses the explanation of the focus of the research (this includes the topic and the research question), how the research will be undertaken, and how the focus is maintained throughout the essay.
What do the IB want to see in this criterion?	Titles are required amongst other formal presentation requirements
How is it assessed?	Maxiumum mark available is 6

Criterion B: knowledge and understanding

Question	ESS advice
What does  the criterion focuses upon?	Context subject specific terminology and concepts
What do the IB want to see in this criterion?	The EE must demonstrate an For example, in an essay on the effects of a specific human activity on the environment, the student may use repeated measurements on the ground, satellite images or maps. Students should show clear and perceptive links between their own study and the body of theoretical knowledge associated with the subject. The literature cited should predominantly come from acknowledged scientific sources and be applied effectively to support the student’s argument. Students need to show fluency in the use of appropriate environment-related terminology and avoid excessive use of jargon. Any technical terms that are used should be clearly explained. The student must demonstrate an understanding of these terms by using them appropriately within the text. Students should maintain a consistent linguistic style throughout the essay. Students are expected to use appropriate scientific and systems terminology.
How is it assessed?	Maxiumum mark available is 6

Criterion C: Critical Evaluation 

Question	Advice
What does this criterion focus on?	Research, analysis, discussion and evaluation
What does the IB want to see in this criterion?	This criterion assesses the extent to which have been used to analyse and evaluate the research undertaken. This criterion carries the most marks (12 marks) accounting for more than a third of the marks available. When considering a candidate's performance against this criterion compensation should be given for The criterion covers .   in relation to the research question. presented in the essay.
How is it assessed?	Maxiumum mark available is 12

Criterion D: Presentation

Question	Advice
What does this criterion focus on?	Structure and layout
What does the IB want to see in this criterion?	This criterion assesses the extent to which the presentation follows the standard format expected for academic writing and the extent to which this aids effective communication. Does the student know to  provide a section and subsection structure to their essays, with appropriate informative headings. Has the student properly refernces any charts, images or tables from literature sources included in the essay. Are these tables etc, relevant and referred to in the body of the essay? Is there large amounts ofraw data collected by the student? best in an appendix Of course tables and graphs should be included in the body of the work but they have to be learly labelled and referenced. Tables and graphs should be easy to read and informative and should only include processed data.  Anything important and pertinent to the argument of the essay should be included in the body of the essay and not in the appendix; an examiner is not required to read anything in the appendix. For experiments where numerical results are calculated from data obtained by changing one of the variables, it is generally good practice to show one example of the calculation in the main body of the essay. The remainder can be displayed in tabular or graphical form.
How is it assessed?	Maxiumum mark available is 4

Criterion E: Reflection 

Question	Advice
What does this criterion focus on?	Process and research focus
What does the IB want to see in this criterion?	This criterion assesses the student’s engagement with their research focus and the research process. It will be applied by the examiner at the end of the assessment of the essay, and is based solely on the candidate’s reflections as detailed on the RPPF, with the supervisory comments and extended essay itself as context. Things to think about: Has the student been expected to provide reflections on the decision-making and planning process undertaken in completing the essay? The easiest way to do this is for the student to signpost some decisions during the process - this makes life much easier at the end!  Students should be able to justify why they made those decisions and how the EE has evolved from their initial plan For example, students may reflect on:  skills they have developed and their effect on the student as a learner Maximum word count is 500
How is it assessed?	Maxiumum mark available is 6

IB Math EE - Propel Your Mind To A 34/34

Unlock the secrets to acing your IB Math EE with a guaranteed 34/34 score! Propel your mind to success and make the most of your potential. 💯

Table of content

Extended essay & what is it❓, ib math ee vs math ia 🥊 , wth is an ib math extended essay 🌋, a brief about ib math ee 🩲, sexy pointers you can't-miss 🤤, 4 ways to find the right math ee topic ⭕, formulate your research question 🔎, planning your research & essay 📖, structuring your essay 🏗️, ib math ee reflection, what to do 🪞, ib math ee criteria 🧮, ib math ee examples 🛹.

It's time we address the elephant in the room.

IB Mathematics Extended Essay.

There, we said it.

If you've taken up IB Math EE, we're here to tell you that it isn't over, contrary to what you might have heard.

Researching, planning, and finally writing a good IB Math EE is no walk in the park, but rest assured that you'll feel different once you've gone through this valuable document.

Nail IB presents the only comprehensive guide you need to nail your IB Math EE.

Let's keep it accurate.

IB Math EE is a rigorous, independent, academic research essay that calls for,

• a keen interest in Mathematics,
• strong mathematical aptitude & reasoning,
• a focused and disciplined approach, and most importantly,
• essential tips, techniques, and quality guidance.

When one opts for IB Math EE, one should ensure a strong passion for Mathematics and a solid mathematical foundation. Not to mention being willing to devote their time and effort to this self-directed research.

Disclaimer -  If you have second thoughts, you should reconsider and re-evaluate your choice because it's no use aiming in the dark.

There needs to be more!

Invaluable tips and techniques are the last missing piece of the IB Math EE puzzle.

Given the panic and stigma around Math Extended Essay, what students need, is not some more panic; instead, expert guidance to keep them pumped to write their EE papers with skill, precision, and utmost zeal. And so, true to our word, we're here to help you.

Say it out loud for me - I got this!

Before diving any further, we are thrilled to share our premium IB Math resources. Check out the  IB Math AI SL  bundle and the  IB Math AI HL  bundle, including everything from comprehensive, up-to-date video lecture courses by Adam Nazha to curated IB Resource Libraries. All your IB DP Math queries are now answered!

While you're at it, check out our  IB Math AA SL  repository, where Patrick Jones (yep, you got that right, our very own  PatrickJMT  - the best Mathematics instructor in the world) will guide you with a brilliant video lecture course he has created to help you nail your concepts and exams alike! Happy learning!

Returning to our one-stop guide for all things IB Math EE, let us see what this article will cover.

• Extended Essay & What is it ❓
• IB Math EE Vs Math IA  🥊
• WTH Is An IB Math Extended Essay?  🌋
• A Brief About IB Math EE ?  🩲
• Sexy Pointers You Can't Miss  🤤
• 4 Ways To Find The Right Math EE topic  ⭕
• Formulate Your Research Question  🔎
• Planning Your Research and Essay  📖
• Structuring Your Essay  🏗️
• Writing Your Essay Writing Your Reflection  🪞
• IB Math EE Criteria  🧮
• IB Math EE Examples  🛹

First things first, let’s briefly discuss what an Extended Essay is.

As the IB defines it, the Extended Essay is a  4000-word in-depth  study, part of the IB Diploma Programme core mandatory for all students.

A  500-word  reflection component-inclusive of 3 reflections - is submitted with the academic writing.

This, of course, is done under the supervision of your IB advisor. The critical thing to note is that you can choose to write an Extended Essay on any subject offered by the IB in your session, though it is highly recommended you settle on a topic you are studying as a part of your IB curriculum.

The purpose of an Extended Essay is to motivate students to conduct formal research on a subject area of interest, independently work on the chosen research question and gain guidance from their respective IB mentors every step of the way.

The IB highlights the significance of the Extended Essay:

• Hands-on learning for undergraduate research
• An opportunity for students to research an area of interest relating to one of the 6 DP subjects opted for by the student.

The skills the Extended Essay aims to develop in students are:

• Coming up with a relevant Research Question
• Personally engaging with a topic of exploration
• A coherent communication of ideas
• Strong Argument building

For better understanding, go through  this document on Extended Essays   by the IB. It will make things more transparent.

Students often confuse their Internal Assessments with Extended Essays, which is a grave mistake. Gaining clarity on both these components of the IB DP core is essential. Let us understand the significant difference between the two.

• While Internal Assessments require students to investigate and explore an idea, Extended Essays are more formal. Students need to perform primary and secondary research on a research question they choose based on a diverse topic about the subject. Since EE is an independently researched essay, your mentor may only be able to give you some of the answers you wanted, unlike the IA.
• Students must write one Extended Essay on a subject of their choice for their IB Diploma Programme, but I must be prepared for all the topics.
• Internal Assessments are graded internally by the subject instructor and then moderated externally. Extended Essays are marked externally by examiners appointed by the IB. Your grade on your Extended Essay is combined with your Theory of Knowledge Essay/Exhibition score to assign you your overall score/points.

Word of caution:  Do not choose the same investigation topic/research question for your Internal Assessment and the Extended Essay.

For a much better breakdown of the EE document, you must go through our article on the  IB Extended Essay . It contains an IB EE checklist you must attend to and a detailed overview of the structure and planning of the EE.

Now that we’ve got our basics to, let’s get down to business. The fear around IB Math Extended Essay makes the most confident students hesitate and doubt their choices. But we aren’t here to scare you. The myth about the horrors of the IB Math EE isn’t all false; it’s a caution. Because unless you’re prepared with ammunition, strategy, and the will to put in the effort, there’s a slim chance you can survive the Math Extended Essay battle.

If you’ve opted for Math Extended Essay, we assume you have a strong passion for Mathematics. When the going gets tough while working on one’s Extended Essay-which, which is usually the case-your only hope at the end of the tunnel is your drive for the subject you’ve chosen. Being a rigorous subject for writing one’s Extended Essay, Mathematics can be incredibly demanding. So unless you want to play it risky, we suggest you reassess your liking for Mathematics. Once you know for sure, that’s when it begins. Lots of research. Since it is an independently written document, you want to be doing your homework well.

We will further break down the IB Math Extended Essay, from planning to execution, so that you can organize your thoughts and make appropriate decisions.

The Math Extended Essay is an in-depth research document covering any topic with a mathematical focus, i.e., not limited to the mathematics theory (shouldn’t be entirely descriptive). IB has divided Math Extended Essays into six categories:

• the applicability of mathematics to solve both real and abstract problems
• The beauty of mathematics examples includes geometry or fractal theory.
• the application of mathematics in the proving of theorems, for example, number theory
• the history of mathematics: the origin and subsequent development of a branch of mathematics over some time, measured in tens, hundreds, or thousands of years
• the effect of technology on mathematics
• in creating links between different branches of mathematics,
• Or in bringing about a new branch of mathematics or causing a particular unit to flourish.

Your Math EE topic should be an extension of your IB Maths syllabus or the practical application of the knowledge you’ve gained in class.

Before moving on to the planning and structure of the Math Extended Essay, here are some pointers you absolutely cannot afford to miss:

• Attempting a Math EE requires a decent amount of hard work. While conducting preliminary research, ensure you land on a topic you can personally engage with and are familiar with. Going for a complicated subject, you can’t comprehend and interpret futile.
• The mathematical work you put in will have to meet a certain level of sophistication, so avoid going for a topic that gives rise to a trivial research question. Your research question shouldn’t be too generic or broad on similar lines. Ensure you can sufficiently narrow down your area of investigation.
• Another thing to remember is that the topic you finally choose should have a good research foundation and room for a novel contribution.
• Incorporate Primary and Secondary research wherever appropriate.
• Proper Referencing should be done for the essay.
• For Reflection, emphasize the Planning, Research, and Writing Processes.

Spitball ideas -  You begin here. Write down any interesting ideas you can come up with. This is your brainstorming session.

Do your Research -  You could not, would not want to meddle with this step, let alone skip it. Research. Read reports, articles, and documentation. Keep jotting important points down simultaneously. The study will and must go on throughout your search for the right math EE topic.

Approach professors/professionals/experts -  Contact concerned lecturers, professors, and industry professionals. They can provide you with invaluable insights. It would be best if you also discussed ideas with your mentor.

Point to Note -  Your goal should be to find a topic you understand and contribute to. It is always recommended to refer to your Math syllabus; something there inspires you to get the ball rolling!

Your essay will be structured as a document answering the Research Question you’re working on. It should be focused, clear and arguable. You will build your essay around your Research Question; hence pay close attention to it.

All you will include in your essay must be mentioned in your Research Question. This means the focused area you will be exploring and the methods you will use to achieve a plausible outcome.

Honing your Research Question is a continuous process. If it appears relatively easy or complex, please rephrase it. Good Research Questions may start with: “How can we model…”, “To what extent…” etc.

Collect Primary and Secondary data and incorporate it wherever appropriate.

Primary sources for Math research include 

• Data-gathering
• Visualization
• Abstraction
• Conjecturing

A few sources to gather Secondary data include Google Scholar, textbooks, databases such as JSTOR, etc. For your essay, know your aims and devise a step-by-step plan to answer your research question while maintaining a mathematical focus.

• Though you can approach your essay in whichever way you like, there should be a consistent logical structure.
• The work done in your essay should develop to answer your research question.
• Subheadings will provide your work with much-needed coherence and viability.
• Describe your way of thinking
• Write definitions and Conjectures.
• Use symbols, theorems, graphs, and diagrams
• Justify your conclusions.
• Visual aids such as graphs and diagrams should be included in the body, while tables and computer programs should be mentioned in the footnotes or the appendix.
• Data must be analyzed appropriately using relevant techniques, correctly reasoned arguments, and adequate methodology to achieve a result.
• Provide the necessary explanation and commentary for all your work.
• Throughout the writing, you may need to re-evaluate the method, approach, and structure to fit the word count adequately.

Once you’re finished writing, you will have to reassess everything from scratch- the equations, the theory, etc., to ensure the coherence of your essay.

• The three reflections should highlight how the process of writing your essay changed in due course of work and what you’ve learned from it.
• The Reflection should emphasize the planning, research, and writing process.
• You should discuss your choices, the re-evaluations you had to make, the limitations of your work, and how you overcame them, if at all.
• The three reflections are written at the beginning, mid, and towards the end of your essay and should have a word limit of approximately 150, 150, and 200, respectively.

Extended Essays are assessed externally by IB-appointed examiners and are marked on a scale of 0 to 34. The score obtained by a student corresponds to a particular band. The bands are:

A -  refers to work of an excellent standard (Level 6)

B -  refers to the creation of a good standard (Level 6)

C -  refers to work of a satisfactory standard (Level-12)

D -  refers to the product of a mediocre standard (Level 4)

E -  refers to the design of an elementary average (Level 6)

Anything below D will be considered a failing grade, and the student will not be awarded the IB diploma.  As we said, your EE is not a component you can mess up.

The Extended Essay Rubric includes the following Assessment Criteria:

Criterion A -   Focus and Method (Covers the topic, research question, and methodology)

Criterion B -  Knowledge and Understanding (Covers context, subject-specific terminology, and concepts)

Criterion C -  Critical Thinking (Covers research, analysis, discussion, and evaluation)

Criterion D -  Presentation (Covers structure, layout)

Criterion E -  Engagement (Covers reflection on planning and progress)

Now that we’ve discovered and learned about the process of writing a Math EE, here are a couple of ideas to give you an idea about how your Math EE questions should be framed:

Topic -  Archimedes’ calculation of areas

Research Question -  What is the legacy of Archimedes’ calculations of circular and parabolic areas in today’s integration methods?

Topic -  Approximation of irrational numbers by rational numbers

Research Question -  How well can π, e, √2, and other irrationals be approximated by rational numbers?

Topic -   The geometry of navigation

Research Question -  What was the role of mathematics and geometry in navigation when we relied on the stars? Does it still play a part now we have manufactured satellites?

You should also check out this  sample band, A Math EE, published by the IB . This will give you an honest insight into making a band-A essay. Also, go through  band B, C, and D extended essays  to understand the loopholes to avoid.

And that’s a wrap!

We hope this comprehensive IB Math EE guide answers your queries regarding the EE. We also suggest you go through  this IB Extended Essay guide  to clarify the Extended Essay component of your IB DP curriculum. You should also try Nail IB’s Extended Essay guide; check it out  here !

At Nail IB, we’re committed to delivering A-quality guidance so that your IB DP journey is smooth and successful. You can explore  our take-test  series here and access   premium guides  here.

Happy learning!

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IB Maths EE examples

Filter exemplars, to what extent prime counting function and the riemann zeta function are similar, and what is the importance of their similarities, how are elliptic curves used in cryptography to make information secure in today’s world, want to get full marks for your ee allow us to review it for you 🎯, how does elliptic curve cryptography ensure secure communication of information on the internet, to what extent is the naive bayes classifier effective in classifying iris plants data set, to what extent is the insight into the concepts of consonance and dissonance in music theory provided by the mathematical descriptions of the string motions within stringed instruments described by the fourier series, fast track your coursework with mark schemes moderated by ib examiners. upgrade now 🚀, how can laplace transformation be used to solve differential equations in undamped vibration and kirchhoff's laws of current and voltage, to what length does the lotka-volterra model help us understand the predator-prey relation in an ecosystem, how does the implementation of pell's equation in rsa cryptography affect its efficiency, and what is the security of the prime fake modulus variant against fermat's factorization and wiener's attack, how do laplace transformations and complex exponential substitution enable the solution of a first order differential equation to obtain the sinusoidal current in a basic rl circuit, the analysis of approaches and extension of a combinatorial geometry problem, to what extent, statistically, are the causal effects of parenting programs on rural chinese toddlers’ cognition different between genders, to what extent is the mathematical proof of ‘ac ohm’s law’ applicable to ac circuits, dans quelle mesure, l’utilisation de pi (π) est-il devenu un facteur important dans la vie quotidienne et l’évolution du monde, how can matrix analysis of game theory be used to guide foreign policy in the ongoing us-iran nuclear tensions, how does the idea of transpositions from group theory apply itself to the solution of the futurama problem, how can the surface area of a violin's top plate be calculated, what is the height and number of towers in a suspension bridge between tuas and jurong island such that it will bear the heaviest possible load and have the lowest cost, how trigonomotry applied in astronomy, to what extent do trigonometry, elliptical geometry and calculus aid forensic analysts in blood spatter analysis and the estimation of the time of death of a corpse, how does the fourier series is used as a musical signal for chord structure, what is modular arithmetic, and how can it be applied to solve problems in the field of number theory, to what extent do the motion of strings within stringed instruments described by fourier series give insight into consonance and dissonance in music theory, how can we use fourier series to analyse and produce an electrocardiogram signal, (35/36) hyperbolic flyby trajectories in orbital mechanicss, analyzing the distribution of cards in the "egg game”, to what extent the areas of mathematics such as differ- ential geometry and calculus of variations can be used to generalize the brachis- tochrone problem at planes to curved surfaces embedded in three dimensions, generating arbitrary uniform probability distributions, what are some ways the riemann zeta function is connected to the prime numbers, that helps us investigate and better understand them, probability factors that influence the game of roulette, we will investigate whether the supply and demand affect the performance of a stock in the us equity market, to what extent does the distance between the path that goes through the gold nucleus and one of the asymptotes of the α particle’s hyperbolic trajectory affect the trajectory of the α particle in rutherford's gold foil experiment, what is the most optimal point on football field to score a goal, how does abstract mathematics apply to physical phenomena in the process of the development of schrodinger’s equations, the rsa algorithm and its vulnerabilities, how can mathematics be used to work out the optimal distance from the try line to position the ball for a conversion kick in rugby union.

Extended Essay Guide: Criteria, Format, Sample EEs

• Criteria, Format, Sample EEs
• Annotated Bibliographies
• DP Research Process
• Databases & Academic Journals
• Evaluate Sources
• Academic Integrity
• MLA Citation Format
• CSE Citation Format (Science & Math)
• Video Tutorials 2024

The Assessment Crtiteria in Detail!

• Criterion A: Focus and method
• Criterion B: Knowledge and understanding
• Criterion C: Critical Thinking
• Criterion D: Presentation
• Criterion E: Engagement
• EE_How to maximize marks for different subjects?

• Criterion C: Critical thinking

Notes from the IB

RE: Research Question and Title of Extended Essay

Please note the statement below from the EE curriculum manager regarding the need to have both a title and a RQ for all subjects. Previous versions of the EE Guide indicated that the title and the RQ should be the same for History, Business Management and Mathematics. This is no longer the case.  All essays, regardless of the subject, need to have both a RQ and a title.

Hi Kathy, 

To answer your question, I am going to quote directly from a response John Royce provided, on this forum, in October in response to a very similar question: (it was a question about using Spanish sources - hence the mention of Spanish)

It is certainly  permissible to use sources which are not in the language of the essay, but translation into the target language is required , one cannot assume that the reader understands the original language.

It is usual to quote the original as well as presenting the translation.  [Do not put quotation marks around your translation, just around the original]

Umberto Eco argues ("in Mouse or rat?") that direct translation may lose meaning, paraphrase or use of different idioms may be required to get the ideas across. Paul Bellos ("Is that a fish in your ear?") makes a similar argument - direct translation may confound meaning... Direct translation may not be ideal - meaning and understanding are preferred - so, not to worry that your student with her good Spanish cannot present a direct translation.

What  must be made clear is that the translations are those of the student;  these are her understandings. Readers can make of that what they will - and if unsure, are presented with the original - they can seek another translation.  A note in the acknowledgements and/or in the introduction to the effect that all translations are those of the writer is ... essential.

In response to the question about the  Bibliography/Works cited, my preference would be to list the source in its original Thai version, but perhaps with the English in brackets, to help the examiner.

Your bibliography will have the entries in Thai characters first in the document. Any in-text citation to Thai sources will be in (Thai characters [English translation]).

Citation in Thai [English translation]

Works Cited Example:

วงษ์ปัญญา, ธนกร [Wongpunya, Thanakorn]. “โรงงานยาสูบรวยแค่ไหน และเอาเงินไปทำอะไรบ้าง.”  [How rich is the Thailand Tobacco Monopoly and where does the money go?] (candidate translation). The Standard, The Standard, 30 Aug. 2018, thestandard.co/thailand-tobacco-monopoly/.

Format of the Extended Essay

Required Formatting

The extended essay should be written in a clear, correct and formal academic style, appropriate to the subject from which the topic is drawn. Given that the extended essay is a formally written research paper, it should strive to maintain a professional, academic look. 

To help achieve this, the following formatting is  required:

• 12-point, readable font (Calibri or Times New Roman);
• double spacing throughout entire Essay;
• page numbering - top right corner;
• no candidate or school name or supervisor name on the title page or page headers.

Submitting the extended essay in the required format will help set the tone of the essay and will aid readability for on-screen assessment by examiners.

Required S tructure

The structure of the essay is very important. It helps students to organize the argument, making the best use of the evidence collected. 

There are six required elements of the final work to be submitted. More details about each element are given in the  “Presentation”  section. Please note that the order in which these elements are presented here is not necessarily the order in which they should be written. 

Six required elements of the extended essay:

• Contents page
• Introduction
• Body of the essay
• References and bibliography -- if MLA "Works Cited" if CSE "References"

1. Required Title Page  

The title page should include  only  the following information: 

• the title of the essay
• the research question
• the subject the essay is registered in (if it is a language essay also state which category it falls into; if a world studies essay also state the theme and the two subjects utilized) 

The upper limit is 4,000 words for all extended essays. 

2. Required Contents Page

A contents page must be provided at the beginning of the extended essay and all pages should be numbered. Please note that an index page is not required and if included will be treated as if it is not present.

3. Required Introduction

The introduction should tell the reader what to expect in the essay. The introduction should make clear to the reader the focus of the essay, the scope of the research, in particular an indication of the sources to be used, and an insight into the line of argument to be taken. 

While students should have a sense of the direction and key focus of their essay, it is sometimes advisable to finalize the introduction once the body of the essay is complete.

4. Required Body of the Essay  (research, analysis, discussion, and evaluation)

The main task is writing the body of the essay, which should be presented in the form of a reasoned argument. The form of this varies with the subject of the essay but as the argument develops it should be clear to the reader what relevant evidence has been discovered, where/how it has been discovered and how it supports the argument. In some subjects, for example, the sciences, sub-headings within the main body of the essay will help the reader to understand the argument (and will also help the student to keep on track). In structuring their extended essay, students must take into consideration the expected conventions of the subject in which their extended essay is registered. 

Once the main body of the essay is complete, it is possible to finalize the introduction (which tells the reader what to expect) and the conclusion (which says what has been achieved, including notes of any limitations and any questions that have not been resolved). 

Any information that is important to the argument  must not  be included in appendices or footnotes/endnotes. The examiner  will not  read notes or appendices, so an essay that is not complete in itself will be compromised across the assessment criteria.

5. Required Conclusion

The conclusion says what has been achieved, including notes of any limitations and any questions that have not been resolved. While students might draw conclusions throughout the essay based on their findings, it is important that there is a final, summative conclusion at the end. This conclusion(s) must relate to the research question posed.

6.  Required References & Bibliography

Students should use their chosen style of academic referencing as soon as they start writing. That way they are less likely to forget to include a citation. It is also easier than trying to add references at a later stage. For more information on this, refer to the guidelines in the IB document  Effective citing and referencing.

Writing the essay takes time but if students have used their Researcher's reflection space and reflection sessions in a meaningful way they should be well prepared to develop their arguments.

Extended Essay - Examples & Exemplars

• Essays from May 2018 with IB marks and commentaries
• Assessed Student Work & Commentary IB-provided. "Student sample extended essays, corresponding marks and comments from senior examiners are available for the following Diploma Programme disciplines. Please note that in light of not having authentic RPPFs to accompany these essays, they are marked against criteria A – D only, for a total of 28 possible marks. Following the first assessment session in 2018, exemplars will be refreshed with authentic sample material." more... less... Biology English Economics History Studies in language and literature Language acquisition Mathematics Psychology Visual arts World studies extended essay (WSEE)
• Excellenet Extended Essays Concordian GoogleDoc
• EngA1_Othello EE Othello 2018 From inThinking.net Click the link to see the score and evaluation.
• Fifty (50) More Excellent Extended Essays DVD by International Baccalaureate Call Number: HS DVD 808.4 ISBN: 9781906345600 Publication Date: 2011 1 DVD-ROM (1:33 min.)

Past CIS Extended Essays

Available in the library behind the desk are file folders of past Extended Essays by Concordian students and IB EE Exemplars. Feel free to browse the papers which must be kept in the library.

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