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Maths is the study of quantity, area, space, and change. Mathematicians consider that the universe cannot be read until we have learned the language and become familiar with the characters in which it is written. It is written mathematical language, and the letters are triangles, circles and other geometrical figures, without which means it is humanly impossible to comprehend a single word. Without these, one is wandering about in a dark labyrinth.
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Mathematics Class 11 Notes for All Chapters
 Revision Notes
Chapterwise Class 11 Mathematics Notes  FREE PDF Download
The Mathematics Class 11 Notes are organised by chapter for easy navigation. These notes are crucial for exam preparation, encompassing key topics from each chapter. Students can use the provided links to study specific chapters in depth. Utilising and practising these Class 11 Revision Notes ensures comprehensive preparation and enhances overall performance in the Class 11 Mathematics exam.
The PDFs for Class 11 Mathematics Notes emphasise critical aspects of each chapter, making them excellent for lastminute revisions before exams. Reviewing these summaries gives confidence and prepares students effectively. For focused and efficient preparation, refer to the Class 11 Mathematics NCERT Textbook. The updated CBSE Class 11 Mathematics Syllabus includes significant events and topics coming to the exams.
Chapterwise Links for Mathematics Class 11 Notes
S. No  NCERT Solutions Class 11 Maths All Chapters 
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CBSE Class 11 Mathematics Textbook: A General Overview
The general overview of the NCERT Class 11 Mathematics textbook in pointers is as follows:
Chapterwise Organisation: The NCERT Class 11 Mathematics textbook is systematically divided into 14 chapters, covering key areas such as Real Numbers, Polynomials, Quadratic Equations, and Probability.
Conceptual Clarity: Each chapter begins with a clear explanation of concepts, ensuring students build a strong foundational understanding.
Examples and Exercises: The textbook features a variety of solved examples that demonstrate the stepbystep process of solving mathematical problems, followed by exercises ranging from basic to challenging levels.
Theorems and Proofs: Key mathematical theorems and proofs are provided with detailed explanations to enhance conceptual clarity.
Graphical Representations: The book includes graphs and diagrams where necessary, particularly in chapters like Coordinate Geometry and Trigonometry, to visually represent concepts.
Reallife Contexts: Many examples and exercises are framed in reallife contexts, helping students see the practical applications of mathematical principles.
Practice Problems: The textbook offers a broad range of practice problems, including multiplechoice questions, shortanswer, and longanswer questions, helping students prepare thoroughly for exams.
Chapter Summaries: Each chapter concludes with a summary of key points and formulas, serving as a quick revision tool.
NCERT Solutions: Solutions to exercises are aligned with NCERT standards, ensuring that students can crosscheck their answers and understand problemsolving techniques.
Focus on Exams: The content is closely aligned with the CBSE syllabus, ensuring that students are wellprepared for exams, with a focus on both conceptual understanding and application.
Key Features of the Textbook
Comprehensive Coverage : The textbook includes all essential topics from the CBSE syllabus, ensuring thorough preparation for board exams.
Clear Explanations : Concepts are explained in a detailed and stepbystep manner, helping students understand complex ideas easily.
Diverse Exercises : A variety of problem sets, from basic to advanced, are provided to cater to different learning levels and reinforce understanding.
Visual Aids : Extensive use of graphs, diagrams, and illustrations enhances comprehension of mathematical concepts.
Realworld Applications : The textbook links mathematical theories to reallife scenarios, demonstrating the practical relevance of the subject.
CBSE Class 11 Mathematics: Learning Objectives
Here are the learning objectives for CBSE Class 11 Mathematics:
Understanding Key Concepts : To help students grasp essential mathematical concepts such as Algebra, Geometry, Trigonometry, and Statistics.
Developing Problemsolving Skills : To enhance students' ability to solve a variety of mathematical problems, from basic to complex.
Applying Mathematics in Real Life : To enable students to apply mathematical principles to reallife situations and practical problems.
Preparing for Exams : To prepare students thoroughly for the exams by covering all relevant topics and question types.
Encouraging Logical Thinking : To foster logical and analytical thinking by challenging students with diverse mathematical exercises and theorems.
Overall Important Concepts from NCERT Class 11 Mathematics Chapters
Here are the overall important concepts from NCERT Class 11 Mathematics chapters:
Sets and Functions : Understanding the fundamental concepts of sets, types of functions, and their properties, including domain, range, and inverse functions.
Trigonometric Functions : Learning about trigonometric identities, equations, and their applications, along with understanding the properties of inverse trigonometric functions.
Complex Numbers and Quadratic Equations : Exploring the concept of complex numbers, their representation in polar form, and solving quadratic equations using complex numbers.
Linear Inequalities : Solving linear inequalities in one and two variables, and understanding their graphical representation.
Permutations and Combinations : Studying the fundamental principles of counting, permutations, and combinations, and their applications in various problems.
Binomial Theorem : Understanding the binomial theorem for positive integral indices and its applications in expanding algebraic expressions.
Sequences and Series : Learning about arithmetic and geometric progressions, their sums, and the concepts of infinite series and special sequences.
Straight Lines : Exploring the various forms of equations of a line, slope, distance between two points, and the general equation of a line.
Conic Sections : Understanding the equations and properties of conic sections, including circles, parabolas, ellipses, and hyperbolas.
Introduction to Threedimensional Geometry : Learning about the coordinate system in three dimensions, direction cosines, direction ratios, and the equation of a plane.
Limits and Derivatives : Grasping the concept of limits, continuity, and the basics of differentiation, including the derivative of a function and its applications.
Statistics : Learning about measures of dispersion, standard deviation, variance, and the analysis of data.
Probability : Understanding the basics of probability, including conditional probability, Bayes' theorem, and the concept of random variables.
CBSE Class 11 Mathematics Weightage 202425
Unit  Marks 
Sets and Functions  23 
Algebra  25 
Coordinate Geometry  12 
Calculus  8 
Statistics and Probability  12 
Internal Assessment  20 
Total  100 
Benefits of CBSE Mathematics Class 11 PDF Notes
Comprehensive Review : PDF notes provide a thorough review of all important concepts, formulas, and theorems covered in the Class 11 syllabus, making revision easier and more efficient.
Organised Content : The notes are wellorganised, allowing students to quickly access specific topics and chapters, which is particularly useful for lastminute revision before exams.
Simplified Explanations : PDF notes often include simplified explanations of complex topics, helping students understand and retain difficult concepts more easily.
Portable and Accessible : Being in digital format, PDF notes can be accessed anytime and anywhere on various devices, allowing students to study on the go.
Practice Problems : Many PDF notes include solved examples and additional practice problems, enabling students to test their understanding and improve their problemsolving skills.
Exam Preparation Guide for Class 11 Mathematics
Understand the Syllabus : Start by thoroughly understanding the CBSE Class 11 Mathematics syllabus. Know the weightage of each chapter and focus on the important topics that carry more marks.
Create a Study Schedule : Plan a study schedule that allocates time for each chapter based on its difficulty level and importance. Make sure to include regular revision and practice sessions in your timetable.
Master the Basics : Ensure you have a strong grasp of basic concepts in Algebra, Geometry, Trigonometry, and other core areas. Understanding these fundamentals is key to solving complex problems.
Practice Regularly : Mathematics requires consistent practice. Solve a variety of problems from each chapter, including those from NCERT textbooks, sample papers, and previous years’ question papers.
Focus on Weak Areas : Identify and work on your weak areas. Spend extra time on topics you find challenging and seek help from teachers or online resources if needed.
Use Revision Notes : Make use of concise revision notes to quickly review formulas, theorems, and key concepts. This helps in quick recall during the exam.
Solve Sample Papers : Practice solving CBSE sample papers and mock tests under timed conditions. This will help you manage time effectively during the actual exam and familiarise you with the exam pattern.
Analyse Mistakes : After solving sample papers or practice tests, carefully analyse your mistakes. Understand where you went wrong and learn the correct methods to avoid repeating the same errors.
Preparing for the Class 11 Mathematics exam requires a wellstructured approach that combines understanding the syllabus, consistent practice, and strategic revision. By focusing on mastering core concepts, regularly solving problems, and utilizing resources like revision notes and sample papers, students can build a strong foundation and enhance their problemsolving skills. With dedication and careful planning, students can approach their exams with confidence and achieve the best possible results. Remember, staying calm and healthy is just as important as studying, so be sure to balance your preparation with proper rest.
Related Important Links for Mathematics Class 11
Along with this, students can also download additional study materials provided by Vedantu for Maths Class 11–
S. No  Important Study Material for Class 11 Maths 
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FAQs on Mathematics Class 11 Notes for All Chapters
1. How Many Chapters are Covered Under the Class 11th CBSE Maths Syllabus?
There are a total of 14 chapters in CBSE Class 11 maths syllabus. Every chapter is essential, and so you have to go through all the crucial concepts properly. You can quickly revise these essential concepts, formulas and theories with the help of Class 11 mathematics notes, available in PDF format on Vedantu.
2. Can I Download CBSE Class 11th Maths Revision Notes for Free?
Yes, you can download CBSE Class 11 Maths revision notes PDF for free from Vedantu's app or official website. These notes are prepared by expert faculty to help you understand the topics easily and score better marks in the exam.
3. Which books are considered the best study material for Class 11 Maths?
When the Class 11 Examination comes closer, students often get confused in selecting the best study material for their preparation. The best study material for Class 11 Maths is the NCERT book as most of the questions asked in the exams are picked from this book. They should study from these books to score well in their examination. They can also use other guidebooks for a better understanding of the concepts. These reference books will provide many questions for your practice.
4. What should I do to get full marks in Maths Class 11?
The following tips will be helpful to score full marks in Maths Class 11:
Knowing your syllabus will help you in completing your course on time.
Prepare a schedule so that you can focus on all the subjects and give enough time to understand the chapters of Maths.
Study from the NCERT book as this book will assist you in understanding all the topics.
Try to solve previous years' question papers so that you can get an idea about the types of questions asked in the exam.
5. What type of questions are asked in Class 11 maths?
The type of questions asked in Class 11 maths are:
Questions cover a range of difficulty levels, from basic recall to application and problemsolving.
Expect questions testing understanding of key concepts, formulas, and theorems.
You'll likely encounter questions requiring calculations, proofs, constructions, and interpretations of graphs and diagrams.
Word problems are common, assessing your ability to translate realworld scenarios into mathematical terms.
6. How can Class 11 Maths notes help in exam preparation?
These notes provide a concise and clear explanation of concepts, important formulas, and stepbystep solutions to problems. They serve as an excellent revision tool and help students to quickly review topics and practice problemsolving before exams.
7. Are the Class 11 Maths notes aligned with the latest CBSE syllabus?
Yes, the notes are fully aligned with the latest CBSE syllabus for the academic year 202425. They are designed to cover all the topics and concepts that are likely to appear in the exams.
8. Can I use the class 11 maths notes pdf for quick revision?
Absolutely! The notes are structured to provide a quick and comprehensive revision of all chapters. They highlight key points, formulas, and theorems, making it easier for students to recall important information during exam preparation.
9. How can I access the Maths Notes for Class 11 PDF Free Download?
The Class 11 Maths notes are available in PDF format on Vedantu. Students can easily download these notes for free and access them on their devices for convenient study and revision anytime, anywhere.
10. Do the Class 11 Maths notes include tips for solving tricky problems?
Some notes may include strategies and tips for tackling tricky problems, particularly in chapters like Trigonometry and Algebra. These tips can help students approach complex questions with confidence and improve their problemsolving techniques.
CBSE CLASS 11 REVISION NOTES
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Class 11  Maths
Click on any of the links below to start learning from Teachoo ...
Updated according to new NCERT  202324 NCERT Books.
Get NCERT solutions for Class 11 Maths Free with videos. All exercise questions, supplementary questions, examples and miscellaneous are solved with important questions marked.
Most of the chapters we will study in Class 11 forms a base of what we will study in Class 12. Forming a good base in Class 11 is important for good marks Class 12 Boards.
In each chapter, we have divided it into two parts  Serial Order Wise and Concept Wise.
Serial Order Wise is studying the chapter from the NCERT Book. This is useful when you want to look for a particular question or example.
Concept Wise is the Teachoo (टीचू) way of doing the chapter. First a topic is explained, and then their questions of that topic  from easy to difficult.
We suggest you do all the chapters from Concept Wise, so that your concepts are cleared. Which is important in competitive exams like JEE, GRE, GMAT as well as in Class 12.
In this class, the chapters and their topics include
 Chapter 1 Sets – What are sets, Roster & Setbuilder form, Types of sets  Empty Set, Equal set, Finite & Infinite sets, Subsets, Universal Set, Power Set, Intervals, Venn Diagrams, Operation of sets  Intersection, Union, Complement, Difference
 Chapter 2 Relations and Functions – Cartesian Product of sets, Relation  domain, range, codomain, number of relations, Functions  graph & algebra.
 Chapter 3 Trigonometric Functions – Degree to Radian conversion, Trigometric Functions, Sign of sin, cos, tan in Different Quadrants, Trigonometry Formulas, Trigonometric Equation  Principal & General Solutions.
 Chapter 4 Principle of Mathematical Induction – Proving P(1) true, then taking P(n) as true, we prove P(n+1) true.
 Chapter 5 Complex Numbers and Quadratic Equations – What is iota(i)  Square root of negative number, Finding roots of quadratic equations, Modulus & Conjugate of complex number and Polar Representation of Complex number.
 Chapter 6 Linear Inequalities – Algebraic & Graphical solution of Linear inequalities in one and two variables
 Chapter 7 Permutations and Combinations – Fundamental principle of counting, permutation  no repetition, repetition. Permuation formula, Factorial, Combination Formula
 Chapter 8 Binomial Theorem – Expanding terms, General term & Coefficient, Term independent of x, Middle term, Approximate numbers using first terms of expansion.
 Chapter 9 Sequences and Series – Arithmetic Progressions (AP), Geometric Progressions (GP), Arithmetic Mean (AM), Geometric Mean (GM), Inserting AP & GP between two numbers, Relationship between AM & GM. Sum of n terms, n 2 terms, n 3 terms, Finding sum of series.
 Chapter 10 Straight Lines – Finding slope of line using angle and points, Finding angle between two lines, Proving lines perpendicular or parallel, Finding Equation of lines  Two point form, Slopeintercept form, Intercept form, General Form, Normal Form, Distance of point from line, Distance between two parallel lines
 Chapter 11 Conic Sections – Finding equation, focus, directrix, center, vertex of Circle, Parabola, Ellipse, Hyperbola
 Chapter 12 Introduction to Three Dimensional Geometry – XYZ axis, octants and sign of coordinates in the octant, Distance between points and Section Formula
 Chapter 13 Limits and Derivatives – Limits of polynomial and trigonometric functions, Left Hand Limit & Right hand limit, Limit using formulas, Derivative by first principle, Finding derivative of polynomial and trigonometric functions by formula
 Direct Method
 Contrapositive method
 Contradiction
 Using counter example
 Chapter 15 Statistics – Mean deviation about mean and median for raw, ungrouped & grouped data. Finding variance & standard deviation of discrete & continuous frequency distribution with Shortcut Method, Coefficient of Variation (CV)
 Chapter 16 Probability – Finding Sample space, Event & types of event  Impossible & sure events, simple event, compound event, Mutually Exclusive & Exhaustive events, Probability of event 'A or B', 'A and B', Probability of event not A
Click on a chapter link below to start doing the chapter.
Chapter 1 Class 11 Sets
Chapter 2 class 11 relations and functions, chapter 3 class 11 trigonometric functions, mathematical induction, chapter 4 class 11 complex numbers, chapter 5 class 11 linear inequalities, chapter 6 class 11 permutations and combinations, chapter 7 class 11 binomial theorem, chapter 8 class 11 sequences and series, chapter 9 class 11 straight lines, chapter 10 class 11 conic sections, chapter 11 class 11  intro to three dimensional geometry, chapter 12 class 11 limits and derivatives, mathematical reasoning, chapter 13 class 11 statistics, chapter 14 class 11 probability, important questions for exams class 11.
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11 Real World Math Activities That Engage Students
Bridging the gap between abstract math concepts and real life experiences can make the subject accessible and relevant for kids.
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During a unit on slope, José Vilson’s students just weren’t getting it, and their frustration was growing. The former middle school math teacher began brainstorming creative ways to illustrate the concept. “I kept thinking, ‘My students already understand how this works—they just don’t know that they know,’” Vilson writes in a recent article for Teacher2Teacher . “How can I activate knowledge they don’t believe they have?”
Then he thought about a hill a couple of blocks from school that his students “walk up every day to get to the subway.” He tacked up paper and began sketching stick figures on the hill. “One was at the top of the hill, one was halfway up, one was near the bottom skating on flat ground, and one was on a cliff,” writes Vilson, now the executive director of EduColor. “Which of these figures will go faster and why?” he asked his students. “That got my kids laughing because, of course, my stick figures weren’t going to hang in the MoMA.” Still, his sketch got them thinking and talking, and it provided a simple stepping stone that “gave that math relevance and belonging in their own lives,” Vilson concludes.
“It’s not unusual for students to walk into our classrooms thinking that math belongs to people who are smarter, who are older, or who aren’t in their immediate circle,” Vilson writes. “But every time I teach math in a way that’s accessible and real for my students, I’m teaching them: ‘The math is yours.’”
To build on Vilson’s idea, we posted on our social channels asking teachers to share their favorite strategies for connecting math to students’ experiences and lives outside of school. We received hundreds of responses from math educators across grade levels. Here are 11 teachertested ideas that get students seeing and interacting with the math that surrounds them each day.
Hunt for clues
Coordinate systems can feel abstract to some students—but using coordinates to navigate a familiar space can solidify the concept in a relevant and fun way. “Before starting a unit on coordinates, I make gridded maps of the school—I make them look old using tea staining —and send my students off on a treasure hunt using the grid references to locate clues,” says Kolbe Burgoyne, an educator in Australia. “It’s meaningful, it’s fun, and definitely gets them engaged.”
Budget a trip
Students enjoy planning and budgeting for imaginary trips, teachers tell us, offering ample opportunities to practice adding, subtracting, and multiplying large numbers. In Miranda Henry’s resource classroom, for example, students are assigned a budget for a fictional spring break trip; then they find flights, hotels, food, and whatever else they’ll need, while staying within budget.
Math teacher Alicia Wimberley has her Texas students plan and budget a hypothetical trip to the Grand Canyon. “They love the real world context of it and start to see the relevance of the digits after the decimal—including how the .00 at the end of a price was relevant when adding.” One of Wimberley’s students, she writes, mixed up his decimals and nearly planned a $25,000 trip, but found his mistake and dialed back his expenses to under $3,000.
Tap into pizza love
Educators in our audience are big fans of “pizza math”—that is, any kind of math problem that involves pizza. “Pizza math was always a favorite when teaching area of a circle,” notes Shane Capps. If a store is selling a 10inch pizza, for example, and we know that’s referring to its diameter, what is its total area? “Pizza math is a great tool for addition, subtraction, multiplication, word problems, fractions, and geometry,” another educator writes on our Instagram. There are endless pizzabased word problems online. Here’s a simple one to start, from Jump2Math : “The medium pizza had six slices. Mom and Dad each ate one slice. How much pizza is left?”
Break out the measuring cups
Lindsey Allan has her thirdgrade students break into pairs, find a recipe they like online, and use multiplication to calculate how much of each ingredient they’d need in order to feed the whole class. The class then votes on a favorite recipe, and they write up a shopping list—“which involves more math, because we have to decide, ‘OK, if we need this much butter for the doubled recipe, will we need three or four sticks, and then how much will be left over?’” Allan writes. “And then it turns out students were also doing division without even realizing!”
Sometimes, a cooking mistake teaches students about proportions the hard way. “Nobody wants a sad chocolate chip cookie where you doubled the dough but not the chocolate chips,” adds teacher Holly Satter.
Heading outdoors is good for kids’ bodies , of course, but it can also be a rich mathematical experience. In second grade, kids can head out to measure perimeters, teacher Jenna McCann suggests—perhaps of the flower boxes in the school garden. If outdoors isn’t an option, there’s plenty of math to be found by walking around inside school—like measuring the perimeter of the tables in the cafeteria or the diameters of circles taped off on the gym floor.
In Maricris Lamigo’s eighthgrade geometry class, “I let [students] roam around the school and take photos of things where congruent triangles were applied,” says Lamigo. “I have students find distances in our indoor courtyard between two stickers that I place on the floor using the Pythagorean theorem,” adds Christopher Morrone, another eighthgrade teacher. In trigonometry, Cathee Cullison sends students outside “with tape measures and homemade clinometers to find heights, lengths, and areas using learned formulas for right and nonright triangles.” Students can make their own clinometers , devices that measure angles of elevation, using protractors and a few other household items.
Plan for adult life
To keep her math lessons both rigorous and engaging, Pamela Kranz runs a monthlong projectbased learning activity where her middle school students choose an occupation and receive a salary based on government data. Then they have to budget their earnings to “pay rent, figure out transportation, buy groceries,” and navigate any number of unexpected financial dilemmas, such as medical expenses or car repairs. While learning about personal finance, they develop their mathematical understanding of fractions, decimals, and percents, Kranz writes.
Dig into sports stats
To help students learn how to draw conclusions from data and boost their comfort with decimals and percentages, fourthgrade teacher Kyle Pisselmyer has his students compare the winloss ratio of the local sports team to that of Pisselmyer’s hometown team. While students can struggle to grasp the relevance of decimals—or to care about how 0.3 differs from 0.305—the details snap into place when they look at baseball players’ stats, educator Maggierose Bennion says.
March Madness is a great source of real world data for students to analyze in math class, says sixthgrade math teacher Jeff Norris. Last March, Norris decorated his classroom like a basketball court, then had his students do basic statistical analysis—like calculating mean, median, and mode—using March Madness data, including individual game scores and the total win rate of each team. “We also did some data collection through our own basketball stations to make it personally relevant,” Norris says; students lined up in teams to shoot paper balls into a basket in a set amount of time, recorded their scores in a worksheet, and then examined the scoring data of the entire class to answer questions about mean, median, mode, range, and outliers.
Go on a (pretend) shopping spree
“My students love any activities that include SHOPPING!” says Jessie, a sixthgrade teacher who creates shoppingrelated problems using fake (or sometimes real) store ads and receipts. Her students practice solving percentage problems, and the exercise includes opportunities to work with fractions and decimals.
To get students more engaged with the work, math educator Rachel AleoCha zeroes in on objects she knows students are excited about. “I make questions that incorporate items like AirPods, Nike shoes, makeup, etc.,” AleoCha says. She also has students calculate sales tax and prompts them to figure out “what a 50% off plus 20% off discount is—it’s not 70% off.”
Capture math on the fly
Math is everywhere, and whipping out a smartphone when opportunities arise can lead to excellent content for math class. At the foot of Mount Elbert in Colorado, for example, math teacher Ryan Walker recorded a short word problem for his fourth and fifthgrade students. In the video, he revealed that it was 4:42 a.m., and it would probably take him 249 minutes to reach the summit. What time would he reach the summit, he asked his students—and, assuming it took twothirds as long to descend, what time would he get back down?
Everyday examples can be especially relatable. At the gas station, “I record a video that tells the size of my gas tank, shows the current price of gas per gallon, and shows how empty my gas tank is,” says Walker. “Students then use a variety of skills (estimation, division, multiplying fractions, multiplying decimals, etc.) to make their estimate on how much money it will cost to fill my tank.”
Connect to social issues
It can be a powerful exercise to connect math to compelling social issues that students care about. In a unit on ratios and proportions, middle school teacher Jennifer Schmerler starts by having students design the “most unfair and unjust city”—where resources and public services like fire departments are distributed extremely unevenly. Using tables and graphs that reflect the distribution of the city’s population and the distribution of its resources, students then design a more equitable city.
Play entrepreneur
Each year, educator Karen Hanson has her fourth and fifthgrade students brainstorm a list of potential business ideas and survey the school about which venture is most popular. Then the math begins: “We graph the survey results and explore all sorts of questions,” Hanson writes, like whether student preferences vary with age. Winning ideas in the past included selling Tshirts and wallets made of duct tape.
Next, students develop a resource list for the business, research prices, and tally everything up. They calculate a fair price point for the good they’re selling and the sales quantity needed to turn a profit. As a wrapup, they generate financial statements examining how their profits stack up against the sales figures they had projected.
HELP OTHER TEACHERS OUT!
We’d love this article to be an evolving document of lesson ideas that make math relevant to kids. So, teachers, please tell us about your goto activities that connect math to kids’ real world experiences.
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75 Unique School Presentation Ideas and Topics Plus Templates
Are you tired of seeing the same PowerPoints repeating overused and unoriginal school presentation ideas covering repeated topics in your classes?
You know what I’m talking about; we’ve all been there, and sat through yawnworthy demonstrations, slides, or presentation videos covering everything from the solar system, someone’s favorite pet, past presidents of a country, to why E=mC squared.
From grade school to university, first graders to college students, we are obligated to create, perform, and observe academic presentations across a plethora of curriculums and classes, and not all of these public speaking opportunities fall into the category of an ‘interesting topic’.
Yet, have no fear! Here at Piktochart, we are here to help you and your classmates. From giving examples of creative and even interactive presentation ideas, providing presentation videos , and suggesting interactive activities to give your five minutes of fame the ‘wow’ factor that it deserves, this article is your guide!
Our massive collection of unique school and college presentation ideas and templates applies if you’re:
 A teacher looking to make your class more engaging and fun with student presentations.
 A student who wants to impress your teacher and the rest of the class with a thoughtprovoking, interesting topic.
A Curated List of Interesting Topics for School Presentations
Did you know that when it comes to presentations , the more students involved improves retention? The more you know! Yet sometimes, you need a little help to get the wheels moving in your head for your next school presentation .
The great thing about these ideas and topics is you can present them either in facetoface classes or virtual learning sessions.
Each school presentation idea or topic below also comes with a template that you can use. Create a free Piktochart account to try our presentation maker and get access to the highquality version of the templates. You can also check out our Piktochart for Education plan .
Want to watch this blog post in video format? The video below is for you!
The templates are further divided into the following categories covering the most popular and best presentation topics. Click the links below to skip to a specific section.
 Unique science presentation topics to cultivate curiosity in class
 Engaging culture and history presentation ideas to draw inspiration from
 Health class presentation topics to help students make healthy lifestyle decisions
 Data visualization ideas to help students present an overwhelming amount of data and information into clear, engaging visuals
 First day of school activity ideas to foster classroom camaraderie
 Communication and media topics to teach students the importance of effective communication
 Topics to help students prepare for life after school
We hope this list will inspire you and help you nail your next school presentation activity.
Unique Science Presentation Topics to Cultivate Curiosity in Class
Science is a broad field and it’s easy to feel overwhelmed with too many topics to choose for your next presentation.
Cultivate curiosity in the science classroom with the following unique and creative presentation ideas and topics:
1. Can life survive in space?
2. Do plants scream when they’re in pain?
3. What are the traits of successful inventors?
4. How vaccines work
5. Massive destruction of the Koala’s habitat in Australia
6. Left brain versus right brain
7. What are great sources of calcium?
8. Recycling facts you need to know
9. Do you have what it takes to be a NASA astronaut?
10. The rise of robots and AI: Should we be afraid of them?
11. How far down does the sea go?
12. The stages of sleep
13. Will Mars be our home in 2028?
14. A quick look at laboratory safety rules
15. The first person in history to break the sound barrier
Engaging Culture and History Presentation Ideas to Draw Inspiration From
History is filled with equally inspiring and terrifying stories, and there are lessons that students can learn from the events of the past. Meanwhile, interactive presentations about culture help students learn and embrace diversity.
16. Women in history: A conversation through time
17. The sweet story of chocolate
18. A history lesson with a twist
19. The history of basketball
20. The origin of the Halloween celebration
21. AI History
22. What you need to know about New Zealand
23. 1883 volcanic eruption of Krakatoa
24. Roman structures: 2000 years of strength
25. The most famous art heists in history
26. Elmo: The story behind a child icon
27. 10 things you should know before you visit South Korea
28. 8 things you didn’t know about these 8 countries
Health Class Presentation Topics to Help Students Make Healthy Lifestyle Decisions
Want to learn how to engage students with healthcare topic ideas? Then consider using these templates for your next interactive presentation.
According to the CDC , schoolbased health education contributes to the development of functional health knowledge among students. It also helps them adapt and maintain healthpromoting behaviors throughout their lives.
Not only will your presentation help with keeping students engaged, but you’ll also increase class involvement with the right slides.
The following examples of health and wellness interactive presentations include fun ideas and topics that are a good start.
29. How to look after your mental health?
30. The eradication of Polio
31. How to have a healthy lifestyle
32. 10 handwashing facts
33. Myths and facts about depression
34. Hacks for making fresh food last longer
35. Ways to avoid spreading the coronavirus
36. Mask protection in 5 simple steps
37. Everything you need to know about the flu
38. All about stress: Prevention, tips, and how to cope
39. The importance of sleep
40. Is milk tea bad for you?
41. How to boost happiness in 10 minutes
42. How dirty are debit and credit cards
43. Why do you need sunscreen protection
Data Visualization Ideas to Help Students Present Overwhelming Amounts of Data in Creative Ways
Data visualization is all about using visuals to make sense of data. Students need to pull the main points from their extensive research, and present them by story telling while being mindful of their classmates’ collective attention span.
As far as student assignments go, storytelling with data is a daunting task for students and teachers alike. To keep your audience interested, consider using a non linear presentation that presents key concepts in creative ways.
Inspire your class to be master data storytellers with the following data visualization ideas:
44. Are we slowly losing the Borneo rainforest?
45. Skateboard deck design over the years
46. Food waste during the Super Bowl
47. The weight of the tallest building in the world
48. Infographic about data and statistics
49. Stats about cyberbullying
50. How whales combat climate change
First Day of School Interactive Activity Ideas to Foster WholeclassCamaraderie
Calling all teachers! Welcome your new students and start the school year with the following backtoschool creative presentation ideas and relevant templates for firstdayofschool activities.
These interactive presentations grab the attention of your students and are remarkably easy to execute (which is the main educator’s goal after all)!
51. Meet the teacher
52. Example: all about me
53. Selfintroduction
54. Tips on how to focus on schoolwork
55. Course plan and schedule
Give our class schedule maker a try to access more templates for free. You can also access our presentationmaker , postermaker , timelinemaker , and more by simply signing up .
56. Interpreting a student’s report card (for parents)
57. Introduction of classroom rules
58. Assignment schedule
59. Daily planner
60. Course syllabus presentation
61. How to write a class presentation
Topics to Teach Students the Importance of Effective Communication
Visual media helps students retain more of the concepts taught in the classroom. The following media topics and infographic templates can help you showcase complex concepts in a short amount of time.
In addition, interactive presentation activities using these templates also encourage the development of a holistic learning process in the classroom because they help focus on the three domains of learning: cognitive, affective, and psychomotor.
62. Interactive presentation do’s and don’ts
63. How to create an infographic
Recommended reading : How to Make an Infographic in 30 Minutes
64. How to improve your internet security and privacy
65. What is design thinking?
66. What are your favorite software tools to use in the classroom?
Presentation Topic Ideas to Help Students Prepare for Life After School
One of the things that makes teaching a rewarding career is seeing your students take the learning and knowledge you’ve instilled in them, and become successful, productive adults.
From pitching a business idea to starting your podcast, the following topics are good starting points to prepare students for the challenges after graduation (aka adulting 101):
67. How to make a resume
68. How to start a startup
69. Credit card vs. debit card
70. Pros and cons of cryptocurrency
71. How to save on travel
72. How to do a SWOT analysis
73. How to pitch a business idea
74. Habits of successful people
75. Starting your own podcast: A checklist
Find out how a high school teacher like Jamie Barkin uses Piktochart to improve learning in the classroom for her students.
Pro tip: make your presentation as interactive as possible. Students have an attention span of two to three minutes per year of age. To keep minds from wandering off, include some interactive games or activities in the lesson. For example, if you conducted a lesson on the respiratory system, you could ask them to practice breathing techniques.
Maintain eye contact with your students, and you’ll get instant feedback on how interested they are in the interactive presentation.
Make School Presentation Visuals Without the Hassle of Making Them From Scratch
School presentations, when done right, can help teachers engage their classes and improve students’ education effectively by presenting information using the right presentation topic.
If you’re pressed for time and resources to make your school presentation visuals , choose a template from Piktochart’s template gallery . Aside from the easy customization options, you can also print and download these templates to your preferred format.
Piktochart also professional templates to create infographics , posters , brochures , reports , and more.
Creating schoolfocused, engaging, and interactive presentations can be tedious at first, but with a little bit of research and Piktochart’s handy templates, you’re going to do a great job!
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'Class 11 maths' presentation slideshows
Class 11 maths  powerpoint ppt presentation.
ESSENTIAL TIPS TO SCORE WELL IN CLASS 11 MATHS EXAMINATION
Class 11 maths NCERT solutions can be very beneficial for exam preparations. With regular practice, it is possible to achieve high scores.
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View Class 11 maths PowerPoint (PPT) presentations online in SlideServe. SlideServe has a very huge collection of Class 11 maths PowerPoint presentations. You can view or download Class 11 maths presentations for your school assignment or business presentation. Browse for the presentations on every topic that you want.
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11+ Maths Topics (With Free 11+ Maths worksheet PDF)
 July 12, 2022
What topics do you need to know for the 11+?
What maths is in the 11+, are the 11+ maths topics hard.
 How much should I prepare for 11+
If you have your heart set on your kid attending an independent or grammar school , they will need to do well in the entrance exam . Knowing how to prepare for each subject is the most important step you can take.
We’re going to share what the 11+ maths topics are and how you can help your child nail the 11 plus maths section of the exam . Giving your kid plenty of time to study all of the 11 plus maths topics is key, so let’s get started.
Different secondary schools set their own admission criteria but most will require your kid to ace an 11+ exam on the following: Maths, English and often Verbal Reasoning and/or NonVerbal Reasoning. These exams will be more challenging than your kid is used to at school and a little bit of planning and studying will go a long way. 📆
You just need to know what to study for in advance. That’s the tricky part but we’re here to help. Let’s focus on the 11+ maths topics today, which many kids find the most challenging aspect. Our guide to the 11 plus maths topics includes those 11 plus tricky maths questions which can catch students out.
While different regions and schools have different maths exams to sit, there are some common 11+ maths topics your kid should expect to see on the paper. If you know which school/s you’re going to apply for, get in touch with us and one of our tutors can help your kid study the right topics the right way, covering all 11 plus topics. At GoStudent we know how to integrate 11 plus problem solving for year 6 pupils into their prep for the 11+.
Here are the 11+ maths topics that appear on different papers across the country.
Venn diagrams
11 plus Venn diagrams are composed of a set of information (numbers and elements), usually with circles or ovals around them. Your kid will need to work out how many x represent x (e.g. how many students like maths and English?).
Many kids enjoy practising questions around 11 plus Venn diagrams. Once they get the hang of it, there is usually no stopping them with this topic.
Time and distance
The 11 plus time and distance questions are about working out how long x will last or at what time it will finish and distance covered or how many kilometres an hour x is. This is often one of the more challenging 11+ maths topics to study for. That’s because there are many variables and different ways the questions can be presented (e.g. a timetable). ⌚
Ratio proportion and scale
The 11 plus ratio questions, proportion questions and scale questions will require your kid to determine the ratio (x:x) from given information. Once your kid learns some simple tricks for working the ratio questions 11+ out, they should feel very confident answering ratio 11+ questions.
Probability
11 plus probability questions can appear in a number of formats. There are often questions about rolling dice and the probability of an outcome or to do with playing cards and questions about the suits, colours and/or numbers.
Profit and loss
11 plus profit and loss questions rely heavily on your kid using division, multiplication, addition, and subtraction. Some of the problems may require your kid to work backwards e.g. if Ann sells a chair for £78 and loses 10 percent what was the cost price of the chair?
Ordering numbers
When it comes to problems around 11 plus ordering numbers your kid will need to arrange a set of given numbers in ascending or descending order. While this sounds fairly straightforward, the questions usually involve decimals or negative numbers to make it more challenging.
Percentages
As the name suggests, 11 plus percentages as a topic is purely about percentages. Some questions can be relatively simple but others will ask your kid to solve multiple percentages in just one problem e.g. what is 5 percent of 15 percent of 40 percent of 200? As long as your kid practises these a lot, they should feel comfortable and have no issue with this topic.
11 plus pie chart questions can include a pie chart that comes with a key to read, percentages on the pie chart or numbers to mark up a section of the pie. Your kid will need to interpret what the data says and answer related questions.
2d and 3d shapes
11 plus maths 2d and 3d shapes are often considered some of the most complex topics. 11 plus shape questions asked are often around volume, for example, and include shapes such as cubes, cylinders and pyramids. A straightup maths topic they will need to learn but once they understand it they will know exactly how to answer these questions.
11 plus matrices is a topic that has to be practised repeatedly. It involves identifying missing parts to complete a pattern. As this doesn’t rely on a mathematical formula, doing as many sample exercises as possible is the only way to ensure speed and fluency in this area.
Negative numbers
11 plus negative numbers refer to numbers that are less than zero. Example types of questions that your kid may get include adding or subtracting multiple negative and positive numbers. There are some clear rules your child should learn relating to this topic that never deviate so once your kid has mastered them they will be fine.
Number sequences
11 plus number sequences are lists of numbers that are connected but your kid will need to work out how by following the pattern. The pattern will always follow a rule e.g. x2 to reach the next number (= 2, 4, 8, x) or +3 (= 3, 6, 9, x) to work out the missing number.
Units of measurement
11 plus units of measurement are related to area (e.g. square metre), length (e.g. centimetre), volume (e.g litre), and time (e.g. hour). Questions can take a number of forms such as converting measurements from one unit to another (e.g. centimetres into metres).
11 plus symmetry can test your kid’s understanding about line (or reflection) and rotational symmetry. Line symmetry is when half of a shape is the same as the other half and rotational symmetry is when a shape looks the same after being rotated around a point.
11 plus angles focus on the angle sizes of a triangle or where two lines meet. For example, questions can ask to judge which angles appear bigger or work out clock face angles (big hand and little hand). This is a challenging topic and one that requires adequate knowledge and studying beforehand in order to finish the questions in time and correctly.
Short maths
11 plus short maths relates to those questions where an algorithm can be used to work out the answer (e.g. 12.32.6=x). Your child should be able to do all of these types of questions or at least know what they need to do because they would have been taught these over and over in primary school. These questions are straightforward, however, the numbers used in the questions are usually more advanced. ➕
Problem solving
11 plus problem solving questions (or long maths) on the other hand will require more time to work through and the maths problem won’t be initially clear. Problemsolving questions can be very challenging, even for kids who are mathematically oriented. Your kid should practise many of these by writing down the problem that is being asked of them and figuring it out.
11 plus algebra
11 plus algebra questions expect your kid to know basic algebraic equations. Your kid will have started some of the algebra 11 plus topic already by filling in missing numbers from an equation at school and should have started learning simple formulae in Year 6. You should give them extra practice in the form of dedicated puzzles and number problems to help with this topic in their maths 11+.
Free maths 11+ practice paper (Free download PDF)
So your child can get in enough practice ahead of time, you can download your very own GoStudent 11+ maths practice paper and answer booklet right here:
As you can see, the possible 11+ maths topics your kid will be presented with on their exam are widereaching. This means they need to feel comfortable with all of them because all of the 11plus maths topics have scope to be tricky. This will also help them in secondary school maths and not just on this one exam.
Parents often ask us “are the 11+ maths topics hard?”. We can only give this answer: yes and no. Since the 11+ maths topics are so varied your kid will inevitably find some easy and others more difficult. It will also depend on what they have been focusing on more at school. More importantly, your kid needs to have a good grasp of what is on the eleven + maths exam by being familiar with each topic, though some topics will be the subject of hard 11 plus maths questions while other topics will be presented with easier questions.
The good news is that the exam is designed to be challenging but with good grades still attainable. Most kids that do really well in this exam put in a lot of preparation, so let’s look at how you can support your child.
How much should my child prepare for 11+?
You should encourage your child to prepare as much as they can (within reason) for each of the 11+ maths topics to improve their maths skills . They are still young and not used to studying long hours so practice should take place steadily and regularly but they still need their fun time and to do homework for their regular schoolwork. ⚽
We recommend creating a 11 plus diy learning plan with them that allows for plenty of free time, extracurricular activities, and also study time. There are many ways to make learning the 11+ maths topics fun. Getting a dedicated tutor will help save time and make practising engaging and rewarding. That’s because an 11+ tutor knows exactly what to focus on and already has the material prepared with a good understanding of the type of 11 plus maths questions that crop up year on year.
At GoStudent , our tutors create a tailored learning plan for each of their students and your kid will receive one too. This includes 11 plus maths papers. That takes some of the pressure off you and your child instantly. Plus, we love to make classes fun and your kid will find the lessons interesting and learn more as a result. If you would like to try a class, the first session is free so you can see for yourself just how much your child benefits.
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topics for an undergraduate Math seminar
What are some good topics for an undergraduate Math seminar?
I am looking for topics which are:
 Approachable for at least second or third year students and beyond (The students have taken all of the introductory Math courses, Logic, Real Analysis, Discrete, Algebra, etc)
 outside of standard course material.
 tangentially connected to things the students already know.
 presentable from 45 to 90 minutes
Not all of the above points are required, but as long as it satisfies most of the above it should be relevant. Above all else, if you think it is a good topic idea please share it.
Edit: If you have books or resources for the seminar topic, that is also very helpful.
 undergraduateeducation
 presentation
 $\begingroup$ Seminar in the sense of a voluntary meeting that undergraduates can attend (presumably with presentations given by faculty?), to learn some "extracurricular" math? $\endgroup$ – pjs36 Commented Jan 31, 2017 at 3:23
 1 $\begingroup$ @pjs36 That is precisely what I am referring to. I am trying to help one of my professors choose a topic for the next one. I tried to distance the question from my particular situation, so that it would be more useful. I'm just looking for a topic that will draw attention and that my professor would like to present on. $\endgroup$ – Tom Commented Jan 31, 2017 at 15:43
 2 $\begingroup$ If your professor can't come up with any ideas for a talk to undergraduates, why is the professor involved in this activity? $\endgroup$ – KCd Commented Feb 1, 2017 at 11:03
 2 $\begingroup$ @KCd He has plenty of ideas I am sure. I think he would like a fresh take on ideas, though he is probably just giving me a chance to be involved in planning events. $\endgroup$ – Tom Commented Feb 2, 2017 at 5:52
 $\begingroup$ See also: math.stackexchange.com/questions/2095649/… $\endgroup$ – Anamaki Commented Sep 21, 2017 at 15:21
11 Answers 11
We run a weekly seminar at my university where undergrads give math talks to other undergrads. To encourage people to give talks we collected a list of suggested topics which may be useful to you  https://uwseminars.com/potentialtopics/
EDIT: As suggested by Joel, I'll add a few of my favourite ones from the list (there are 83 topics now, but the number will increase this term).
1) Continued Fractions and Hyperbolic Geometry (Farey tesselation etc): Example Reference: http://homepages.warwick.ac.uk/~masbb/HypGeomandCntdFractions2.pdf
2) Optimal Stopping Theory and the Secretary Problem: Example reference: https://www.math.upenn.edu/~ted/210F10/References/Secretary.pdf
3) Penrose tilings (and possible connections to the dynamics of tiling): Example reference: https://people.maths.ox.ac.uk/ritter/masterclasses.html , Miles of Tiles by Charles Radin
4) The Rental Harmony Theorem Example reference: http://www3.math.tuberlin.de/combi/wp_henk/wpcontent/uploads/2011/05/rentsu.pdf
5) Representation Theory and Voting Theory Example reference: https://arxiv.org/abs/1508.05891
6) Ultrafilters and Nonstandard analysis: Example reference: https://www.math.uchicago.edu/~may/VIGRE/VIGRE2009/REUPapers/Davis.pdf
This one is not exactly on that list but occurs elsewhere on the site
7) Automated Verification of Computatational systems : Example reference: http://www.cmi.ac.in/~madhavan/papers/pdf/resonancejul2009.pdf
8) Differential Equations on Fractals : Example reference: Differential equations on fractals, R. Strichartz
9) Fuzzy Logic : Example reference: http://www.francky.me/doc/course/fuzzy_logic.pdf
10) General Secure Multiparty computation from any Linear Secret Sharing Scheme : Example reference: https://www.iacr.org/archive/eurocrypt2000/1807/18070321new.pdf
I'm sorry for the slant towards some topics but there's a "tag" option on the webpage which allows you to see topics by area.
Almost any chapter of this wonderful book could serve as a seminar topic. Each chapter is pretty much selfcontained.
Matoušek, Jiří. Thirtythree miniatures: Mathematical and Algorithmic applications of Linear Algebra . Vol. 53. American Mathematical Soc., 2010. ( AMS link .)
(1) I am shocked that no one has mentioned the socalled Monty Hall problem/paradox. :)
(2) The point that "probability" does not directly describe "randomness", e.g., although the sequence of headstails HHHHHHHHHH seems "unlikely/notrandom", it has the same probability ($2^{10}$) as "randomseeming" sequences such as HHTHTTTHHT.
(3) "The other quadratic formula" (this one is more shallow, but fun): if $ax^2+bx+c=0$, and $c\not=0$, then also $a+b(1/x)+c(1/x)^2=0$, and the quadratic formula for $1/x$, inverted, gives an unexpected formula for $x$ itself.
(4) Using linear algebra of 2x2 matrices to get the formula for the $n$th Fibonnaci number.
(5) Liouville's theorem (really just a corollary of the mean value theorem!) that an irrational real number that "can be approximated too well" by rationals must be transcendental .
Here are three books I have used in various ways for such a course, focused on mathematics history.
 Journey Through Genius  lower level in some ways but easy to supplement for any background
 Mathematical Expeditions
 Mathematical Masterpieces
Any book by Eli Maor is also definitely game. Again, supplementing for higher levels  but there is a surprising amount that they won't know! So much math, so little time.
How about a talk on the continuum hypothesis (CH) and related topics? It's a fascinating subject and can be tailored for basically any level depending on how detailed you get.
Full disclosure, I'm biased because I gave such a talk aimed at MS students and upperlevel undergrads on this topic almost 9 years ago. And I think this meets all four of your criteria listed as of the time I write this, since they're very similar to what I was trying to do. Here's an outline of my presentation as best as I can remember it; feel free to draw from it as you wish:
 Different sets of numbers: $\Bbb N, \Bbb Z, \Bbb Q, \Bbb R$.
 $\Bbb N$ and $\Bbb Z$ have the same size.
 More surprisingly, $\Bbb Q$ has the same size as both $\Bbb N$ and $\Bbb Z$.
 But the size of $\Bbb R$ is strictly larger. (Cantor's diagonalization argument.)
 Is there a set whose size is strictly larger than $\Bbb N$ and strictly smaller than $\Bbb R$?
This question in the last bullet point above is the perfect way to bring up the CH (since the question is basically, "Is the continuum hypothesis false?"). And what's interesting about the CH is the answer is independent of ZFC set theory, meaning we can take the answer to be "yes" or "no" and either way we won't get a contradiction in ZFC set theory. We know this from work done independently by Kurt Gödel and Paul Cohen.
I think there were some slightly related topics and/or generalities I discussed, such as cardinal numbers and transfiniteness, etc. It's been too long to say for sure.
This was my main reference:
 The Mystery of the Aleph: Mathematics, the Kabbalah, and the Search for Infinity by Amir Aczel.
Oh, and bonus points if you take it to the next level like I might have .
EDIT: Another idea for a talk is how linear algebra can be used to determine solvability of a lights out game . A good starting resource is this site on Wolfram MathWorld . I expanded on it in this post on Puzzling.SE . I'm sure the paper referenced in that Wiki article would also be a good resource.
Personally I would discuss Graph theory, in a diverse and conceptual way with a few deeper dives. Students of that level should be familiar of weighted graphs, have an intuition for the size of functions (which could be leveraged in a discussion of travelling salesman, big O notation, how quickly networks can grow, Ramsey Theory R(3,3), chromatic polynomials, etc). There is so much novelty in graph theory, and it draws many areas of maths together in novel ways.
At a minimum, I'd include Erdös Renyi Random Graph models, and the emergance of a large connected cluster. It is an accessible mention of asymptoic analysis, simple graph enumeration, and probability distributions(as the edges per node modelled via Poisson is appreciably different to edges as randomly selected pairs of nodes).
Depends on time and how quickly you move through content, but you could try to mention dynamical systems, such as predatorprey models, and how graph theory can be applied in the spread of diseases and informtion.
I think this topic is well suited, because it is an example of three important chracteristics of matha: Interconnected, Rich in application, and the sheer enormity of open problems. E.g. P=NP, Graph Homomorphism, Ramsey (5,5,), etc.
At 2nd year ans above, it is likely many already have heard of Monty Hall,C Cardinal Infinities, and Mandelbrot(although this could be included if you hedge your bet with a split between dynamical systems and graph theorg).
If these are not present in course work:
 Galois Theory: an overview of what it accomplished with an emphasis on history.
 Group actions and counting if not emphasized too deeply in the standard course.
 Interaction between the geometry of principal fiber bundles and the physics of Yang Mill's theory. Weyl's crazy idea and how it led to our modern theory of classical fields.
 What is representation theory? (I wish I knew all, but I'll settle for more, of the answers to this question)
 What are spinors? On the representation of the Lorentz group and how a bit of imagination finds supersymmetry.
Really most graduate math classes condensed into a bestof talk without proofs can be very interesting. Also, this might serve to motivate students to take such classes if that is an option
( or for nongraduate math possessing institution, such talks can help give students a better sense of the big world of math beyond the core course work. Naturally,attending a JMM or similar math meet is even better in this regard )
Basic topological ideas and knot theory are surprisingly accesible because they treat objects concretely representable in three space, via planar diagrams, and via actual physical models. (Basic ideas like isotopy can be illustrated with computer generated simulations.) Combinatorial methods in knot theory (knot polynomials, grid diagrams) can be learned and used without understanding their (sometimes quite deep) topological content. Students who know a bit of group theory can be shown connections with the braid group. There are numerous popular and undergraduate level accounts of knot theory, and most are full of examples that could be adapted to a classroom presentation.
Linear optimization as used in oil refineries (or even midstream movements and trading).
Anything dealing with statistics in business.
Matching algorithms (of mates or medschool students).
Additional to the above:
molecular or crystallographic symmetries. (BTW, if you approach it from the chemical or visual standpoint, rather than abstract algebra, it will be easier to understand and more interesting/applied.)
Here's another cool topic, gambling skill: https://www.youtube.com/watch?v=658xlubwnDc
And another (more fluffy, but fun) is the fourth dimension in art: https://en.wikipedia.org/wiki/Fourth_dimension_in_art
Bottom line, keep it fun. DON'T be afraid to be relevant or to have some non pure math in there. You are not trying to teach a course in a seminar. You are trying to get some interest, that maybe pays of later.
Many fine probability topics could be suitable, depending on background and interest. A few such topics:
 Random walk, culminating with the law of the iterated logarithm
 The law of large numbers, or the central limit theorem
 If not covered: The Laplace approximation for integrals
 Extreme value theory
Some other topics:
5: Matrices: The PerronFrobenius theorem for nonnegative matrices, with application "the Google matrix" 6: Simulation: Some examples of mcmc ... 7: Errorcorrecting codes ...
One might consider organizing a seminar with the theme:
Mathematical Insights Into Fairness Questions
Examples of such questions in recent news involve
a. Fair ways to share diminished amounts of water in the Colorado River due to drought conditions
b. School choice
c. Improved ways to conduct primary elections when there are many candidates
d. Rent sharing systems
e. Medicine costs
Mathematical topics would include vertex/edge graph theory, solving difference equations (recursions),linear programming and other optimization methods, ham sandwich ideas, etc. Both continuous and discrete mathematical ideas come into play.
This approach might help students see how mathematics affects their daily lives.
 $\begingroup$ +1 for the last (important) sentence. Mathematics is useful in daily life. Unfortunately, too few know enough to appreciate it. $\endgroup$ – user21820 Commented Mar 10, 2023 at 6:35
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Maths Project helps students to improve their thinking capabilities and logical skills. Most of the schools conduct exhibitions for classes 4, 5, 6, 7, 8, 9, 10, 11 and 12, where students can represent their innovative ideas and project wor k with mathematical models , to learn the subject in a creative way.
There is an old saying that goes like this: “Tell me, and I will forget, Show me, and I may remember, involve me, and I will understand.” Said by the Chinese philosopher, Confucius
Today’s generation demands an interactive learning model that will engage them and make them learn the facts in an easy way. Earlier, the basic tool used by schools for imparting education was:
 Taking tests and
This no longer is fundamental to teaching the students in the 21st century. This is why CBSE board has welcomed the projectbased training and learning program for the students. Including Maths project in the CBSE and ICSE curriculum have helped millions of students in their career endeavour.
Maths Project Ideas
Maths Project helps students to exhibit their theories into practical knowledge and get realtime experiences. It will help them to grow interpersonal skills and thinking capacity, along with building the confidence level for the subject. Let us see some ideas for Maths models, here;
 Maths in reallife
 Number system
 Area and Perimeter of different types of figures and shapes
 Types of Angles
 EquationsAlgebraic and Quadratic
 Probability and Statistics
 Pythagoras Theorem
 Conic Sections
These are the few general topics for which students can create a model.
Maths Project for Class 12
Class 12 Maths is a higher level one where concepts of calculus, inverse functions, linear algebra, etc., are given. Here are some ideas for Class 12 students to work on Maths projects. They can also create Maths working models for the below given topics.
 History of Mathematics including the great Mathematicians and their contributions
 Graphs of Inverse trigonometric functions
 Applications of integrals and derivatives in real life
 Vectors and scalars quantities in real life
 Direction cosines and direction rations in three dimensional geometry
Maths Project for Class 11
Students are introduced with higher level concepts in Class 11 Maths. Therefore, it is necessary for them to give more time in practicing Math’s problems. The concepts introduced in this standard will be continued for Class 12 also. In schools, during extra curriculum activities, students can also present some Maths working models based on these new concepts. Also, they can work on projects related to mathematical concepts. The project ideas for the same has been mentioned below.
 Linear programming problems based on day to day life (for e.g., daily expenses, budgets, raw materials required for factories, etc.)
 Formula chart for differentiation and integration
 Statistical data collection and analyzation
 Maxima and minima graph
Maths Project For Class 10
For students of class 10, we are mentioning some of the project ideas for Math subject, which are relevant to their syllabus and also could be easily modelled.
 Surface area and volumes of Cube and Cuboid: Class 10 students need to know how to calculate the surface areas and volumes of given 3d shapes such as cube, cuboid, etc. Try to identify the 3d shapes around you and explore how we can find the surface area and volume for them.
 Comparison of areas of two similar triangles: The concept of similar triangles is easy to remember; simultaneously, it is required to understand the relationship between areas of two similar triangles using their sides.
 Finding the angles with the help of trigonometric ratios: As we know, trigonometry helps in finding the missing sides or angles of a right triangle. Maths project model on trigonometry will help in practicing more such cases. Application of trigonometric ratios will help in finding the required parameters.
 Mean values of given data: Generally, we deal with many numbers in our everyday life and sometimes it is required to know the average of these numbers, for example, an average time to finish a specific task. In this case, the concept of the mean values is the efficient one to get the required result.
 Probability of random experiments: This Maths project on probability helps in understanding various types of random experiments and finding the probabilities of events associated with them. For example, getting exactly two heads in the experiment of tossing a coin 3 times.
Maths Project for Class 9
Students who are studying in Class 9 can use these project ideas for developing Maths models and which are according to their syllabus. Try these 9th class Maths project ideas and have fun learning.
 Representation of Numbers in a number line.
 Cartesian Plane in Coordinate Geometry
 Euclid’s Geometry Model
 Types of Triangles
 Shapes of Geometry
Maths Project Ideas for Class 8
Class 8 secondary students can make some of the best working models based on these topics:
 Constructing different types of quadrilaterals
 Representation of rational numbers in number line
 Grouping, organizing and presentation of data using charts and graphs.
 Profit and loss for commodities and finding simple interest
 Playing with numbers
 Linear graphs (use matchsticks to represent)
 How to visualize 3D objects
Maths Project for Class 7
Students of Class 7 can learn Mathematics and its concepts easily with the help of working models. They can get here different project ideas to create such models. These models will help the students to visualize the concepts and develop their confidence on any particular topic.
Here are the topics based on which students create projects.
 Types of integers (positive and negative)
 Types of Fractions (Proper and Improper fractions)
 What are lines and angles in twodimensional space?
 Types of Triangles (Scalene, Isosceles and Equilateral)
 Comparing Quantities
 Visualizing Solid Shapes
Maths Project for Class 6
When students jump from class 5th to class 6th, the level of their education gets increased. They will be introduced to many new concepts which they haven’t learned in primary classes.
Hence, it will be very engaging for them to do Maths projects based on different concepts and understand them thoroughly.
 Knowing and comparing different numbers
 Patterns in whole numbers
 Defining Point, Line and Angles (Basic geometry)
 Models of Parallel lines and Perpendicular lines
 What are decimals and fractions
 Algebra – Matchstick patterns
 Symmetry of shapes
Maths Project for Class 5
The working model for class 5 students will help them to understand mathematics in a more easy way. Students may be given challenging Maths projects so that they can work on them and develop their thinking level. This way they can visualize the complex Mathematical concepts that they are unable to understand with the classic way of learning. Class 5 Maths will introduce students to new topics such as shapes, angles, multiples, factors, ways to multiply and divide, etc. Here are a few Maths projects for Class 5 students, that they can work on:
 Introducing Area with Square boxes
 Preparing a Chart for Different Shapes and Angles
 Representing difference between Big and Heavy (using examples)
 Geometry surrounding you
Maths Project for Class 4
In Class 4, students are introduced with interesting topics to understand Maths and its applications in our daily life. Hence, students can make use of reallife applications to work on Maths projects and working models. Here are some ideas for students class 4 Maths projects:
 Chart of symmetrical shapes in your neighbourhoods
 Different hours in a wallclock
 Difference between heavy and light
 Tall, Taller and Tallest objects in a sequence
 Draw the topview of different objects present in a drawing room (fans, sofas, TV, etc.)
 Build your dream home using craft items
Maths Working Models For Exhibition
There are many mathematical projects which can be produced in exhibitions in schools, such as:
Calculator: The calculator is made up of cardboard, where there will be four holes, in such a way that first, third and fourth holes will consist of movable numbers and the second hole will have all the symbols based on the operations performed: Addition, Subtraction, Division & Multiplication. In this way, we can create a manmade calculator and test the skills of the visitors to the exhibition.
Some more good ideas to create working models based on mathematical concepts are:
 Build a school project where each structure is represented by different shapes. For example, the rooftop of the school will be in a triangle shape.
 Build a model based on trigonometry ratios (Sine, Cosine and Tangent) using LED lights
 Create a “Height and distance” model using cardboard, paper, pulleys, threads, etc.
 Match the following model for square numbers and cube numbers using LED lights
 A model representing the centroid of different types of triangles (Acute, Obtuse and right triangle)
 Create a model showing the parts of circles (radius, diameter, center of circle, chord, sector, arc, etc.)
 Threedimensional geometrical shapes
Maths Project Work Advantages
Including Maths Project in the upper primary stage helps students in visualizing the basic concepts, theorems, principles and the underlying process involved in solving them. Mathematics is a word that is feared by most of the students in their early grades. Some students use Maths tricks to solve problems, and some do really hard work. In real, Maths is a subject full of logic and proof. Following are the advantages of Maths projects in schools:
 While rote learning is not recommended to solve math problems, it is recommended to the teachers and board to impart Maths education in a more rational and challenging through project works.
 It has been seen that rotelearning or memorizing, is not effective for longterm retention. Mathsrelated project work not only helps in improving the problemsolving capability but also will be able to learn it in a fulfilling way for their lifetime.
 Maths projects help the students to improve their planning and critical thinking ability of the student as they employ “habit of thinking and mind skills”. Including Maths projects in the curriculum will also help improve the reasoning skills of the student.
 It is mandatory for the students to present what they have created for their projects in front of the class. This, in turn, helps the students to improve their communication and presentations skills, which will go a long way in their professional careers.
Keeping in mind all these advantages for the Maths project will help in creating a memorable learning experience for the students.
CBSE has included Maths projects in their formative and summative classes, and the percentage of marks allotted to the projects varies from 10% 15%. The project can be in the form of high thinking skills questions or case studies based. Sometimes the class teacher also accesses the students on the basis of an open book assessment test.
The advantages underpin the approach to access their students on the basis of Maths projects and outofschool learning. This helps students in making reallife decisions and acquiring mathematical knowledge in a more holistic way that will help them in their career and professional life as well.
We approach to make the students learn through interactive sessions, and videos make it possible for students to learn in an interactive way. We, at BYJU’S, delve in continuous research and development, to formulate a better way of learning right from the beginning of the early careers of students. The topics are covered in a way so that the students could pick any topic in the videos and learn in an adaptable way. We employ tricks to the student’s minds that will compel the students to answer their own doubts.
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21+ Interesting Maths Project Ideas for Exhibition [2024]
Many students find mathematics challenging, but here, we aim to show that it’s not as tough as it seems.
Mathematics is crucial for students as it builds problemsolving skills, logical thinking, and a strong foundation for various careers. Engaging in maths project ideas for exhibition is a fantastic way for students to apply what they’ve learned in a practical and enjoyable manner.
In this blog, we’ll explore the importance of math in everyday life, emphasize its significance for students, and provide many project ideas that make learning math fun and showcase its realworld applications. Get ready to discover the exciting side of mathematics!
What is the Maths Project?
Table of Contents
A Math project is a handson and creative way to apply mathematical concepts in reallife scenarios. It involves students designing, implementing, and presenting a tangible representation of mathematical principles.
However, these projects go beyond traditional problemsolving exercises, encouraging students to explore the practical applications of math in various fields. Whether through interactive displays, models, or presentations, math projects enhance understanding, foster critical thinking, and demonstrate the relevance of mathematical concepts in the world.
By engaging in math projects, students strengthen their understanding of mathematical ideas and develop valuable skills such as problemsolving, teamwork, and effective communication.
Importance of Maths Projects in Everyday Life
Mathematics projects play a crucial role in everyday life, contributing to various aspects of our personal and professional activities. Here are several ways in which math projects are important in our daily lives:
 Practical Application: Math projects bridge the gap between theoretical knowledge and realworld application, showing how mathematical concepts are used in everyday life.
 ProblemSolving Skills: Engaging in projects cultivates problemsolving skills as students tackle real challenges, encouraging them to think critically and creatively.
 HandsOn Learning: Math projects provide a handson learning experience, allowing students to manipulate numbers, create models, and see the direct impact of mathematical principles.
 Relevance: Demonstrating the relevance of math in daily activities and projects helps students appreciate its importance in budgeting, measurements, and decisionmaking.
 Interdisciplinary Connections: Math projects often involve collaboration with other subjects, fostering interdisciplinary connections and showcasing the interconnectedness of various fields.
 Communication Skills: Presenting projects hones communication skills as students articulate their ideas, methodologies, and findings, enhancing their ability to express complex concepts clearly.
 Critical Thinking: Students develop critical thinking skills by designing and executing projects, learning to analyze problems and devising effective solutions.
 Career Readiness: The skills acquired in math projects, including problemsolving and communication, are valuable in many careers, preparing students for future success.
Math projects are not only academic exercises but also powerful tools that empower individuals to navigate the complexities of everyday life, make informed decisions, and contribute meaningfully to society.
How to Choose Suitable Math Project Ideas for the Exhibition?
Choosing suitable math project ideas for an exhibition involves considering factors. Here is a stepbystep guide to help you select appropriate math project ideas:
 Identify Interests: Consider students’ interests and passions to make the project engaging and relatable.
 Grade Level Appropriateness: Ensure the complexity of the project aligns with the student’s grade level for an optimal learning experience.
 RealWorld Relevance: Choose topics that showcase the realworld applications of math, fostering a deeper understanding of its significance.
 HandsOn Elements: Opt for projects that involve handson activities, encouraging active participation and experiential learning.
 Collaboration Potential: Select projects that allow collaboration, promoting teamwork and shared learning experiences.
Top Maths Project Ideas for Exhibition In Different Grade Levels
Here are some math project ideas suitable for different grade levels:
Elementary School (Grades 15)
 Math Magic Show (Grades 12) : Create a magical display where basic arithmetic operations become enchanting tricks, captivating young minds and reinforcing fundamental math concepts.
 Shape Zoo (Grades 34): Encourage exploration of geometry by having students design a zoo with animal enclosures shaped as different polygons, integrating learning about shapes and their properties.
 Counting Carnival (Grade 1): Construct a vibrant counting carnival where students showcase their counting skills by arranging objects like balloons, candies, or toys in numerical order.
 Fractional Food Feast (Grades 45): Foster understanding of fractions by having students design a menu where various food items represent different fractions, promoting visual learning and fraction comprehension.
 Measurement Masterpieces (Grade 3): Integrate art and math by having students measure and create colorful masterpieces using different units, reinforcing measurement concepts in a creative way.
 Math Puzzles Exhibit (Grades 45): Challenge problemsolving skills with a display of handmade math puzzles, encouraging visitors to solve them while enhancing critical thinking and logical reasoning.
 Time Travelers’ Clock Display (Grade 2): Explore the concept of time with a clock display, where students design clocks showing different times and engage visitors in interactive timetelling activities.
 Money Matters Market (Grade 5): Establish a minimarket where students simulate buying and selling, incorporating realworld math skills related to money, budgeting, and making transactions.
Middle School (Grades 68)
 Data Detectives (Grade 6): Have students collect and analyze data from their peers, presenting findings through graphs and charts. This project enhances understanding of data representation and interpretation.
 Geometric Dream House (Grade 7): Students design and model their dream houses, incorporating various geometric shapes and calculating the area and perimeter of each room, reinforcing geometry concepts.
 Algebraic Art Gallery (Grade 8): Merge art and algebra by having students create artwork using algebraic equations, showcasing the visual representation of mathematical expressions.
 Probability Carnival (Grade 7): Construct a probabilitythemed carnival where students design games, calculate the probability of winning and introduce probability concepts in a fun and interactive way.
 Mathematics of Music (Grade 8): Explore the mathematical patterns in music, with students creating musical compositions, understanding rhythm and tempo, and even applying algebra to study musical scales.
 Code Breakers (Grade 6): Introduce coding and logical reasoning by having students create and present their own coded messages, unraveling the mystery of cryptography.
 Architectural Blueprints (Grade 7): Engage in practical applications of scale and proportion by having students design architectural blueprints for a building, considering measurements, ratios, and scale factors.
 Financial Literacy Fair (Grade 8): Create a financial literacy fair where students showcase projects related to budgeting, investing, and understanding interest rates, emphasizing realworld applications of math in personal finance.
High School (Grades 912)
 Calculus in Action (Grade 12): Explore realworld applications of calculus by having students investigate and present projects on topics like rates of change, optimization, and integration in various fields such as physics, economics, or biology.
 Statistics and Social Issues (Grade 11): Analyze and present statistical data related to social issues, fostering an understanding of correlation, causation, and the impact of statistics on societal decisionmaking.
 Trigonometry in Architecture (Grade 10): Explore the role of trigonometry in architecture by having students design and present architectural projects, incorporating concepts like angles, distances, and geometric shapes.
 Mathematics of Cryptocurrencies (Grade 12): Delve into the world of cryptocurrencies, exploring the mathematical principles behind blockchain technology, cryptography, and the algorithms that drive digital currencies.
 Quantum Mathematics (Grade 11): Introduce students to the fascinating intersection of mathematics and quantum physics, exploring concepts like quantum algorithms, quantum cryptography, and the mathematical foundations of quantum mechanics.
 Game Theory Showcase (Grade 10): Investigate and present projects on game theory, exploring its applications in decisionmaking, economics, and strategic interactions, fostering an understanding of mathematical modeling in realworld scenarios.
 Differential Equations in Biology (Grade 12): Apply differential equations to model biological processes, such as population growth, the spread of diseases, or ecological systems, showcasing the powerful role of mathematics in understanding complex biological phenomena.
 Fractal Art Gallery (Grade 9): Merge art and mathematics by having students create and showcase fractal art, exploring the beauty of selfrepeating geometric patterns and the mathematical principles behind fractal generation.
These project ideas can be adapted based on the specific grade level and provide opportunities for students to explore different branches of mathematics while making connections to the real world. Adjust the complexity and depth of the projects to suit the students’ current level of mathematical understanding.
Qualities Of Good Math Projects – Teacher’s Perspective
From a teacher’s point of view, good math projects should possess certain qualities that contribute to the educational and developmental goals of students. Here are some key qualities that make math projects effective and valuable in a classroom setting:
 Relevance: Good math projects should relate to realworld applications, helping students see the practical significance of mathematical concepts.
 Engagement: Projects should capture students’ interest and enthusiasm, fostering a love for learning and making math enjoyable.
 Clarity of Objectives: Clearly defined project objectives enable students to understand the purpose, aligning the project with specific learning goals.
 Creativity: Encourage creativity by allowing students to explore different approaches and solutions, promoting independent thinking.
 Appropriate Complexity: Projects should match the students’ grade level, providing a suitable level of challenge without overwhelming them.
 Interdisciplinary Connections: Integration with other subjects enhances the project’s richness, showcasing the interdisciplinary nature of mathematics.
 HandsOn Exploration: Projects involving handson activities promote active learning and reinforce theoretical concepts through practical application.
 Assessment Opportunities: Incorporate clear criteria for assessment, allowing teachers to evaluate students’ understanding and application of mathematical principles effectively.
Closing Up!
The math project ideas for exhibition offer a captivating journey where numbers transform into interactive displays, practical applications, and creative presentations.
These projects serve as a bridge between theoretical concepts and realworld scenarios, making mathematics approachable and enjoyable. From elementary to high school, these ideas reinforce academic understanding and nurture critical thinking, problemsolving, and teamwork skills.
By showcasing the diverse and exciting facets of mathematics, these exhibitions contribute to a broader appreciation of the subject, turning abstract theories into engaging and memorable learning experiences for students of all ages.
Frequently Asked Questions (FAQs)
1. what can we make for the math exhibition.
Various engaging math projects for exhibitions include creating a geometric dream house, designing a probabilitythemed carnival, exploring the mathematics of music, or even constructing a financial literacy fair. These projects blend learning with creativity, making math concepts visually appealing and relevant.
2. What benefits do math projects for exhibitions offer to students?
Math projects enhance the practical application of concepts, foster critical thinking and problemsolving skills, and provide a platform for creative expression. They also showcase the relevance of mathematics in everyday life and various fields.
3. Can math projects for exhibitions be integrated with other subjects?
Absolutely! Math projects can seamlessly integrate with other subjects, fostering interdisciplinary connections. For instance, combining math with art, science, or technology can provide a more holistic learning experience and showcase the interconnectedness of different fields.
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What are some good topics for an undergraduate Math seminar? I am looking for topics which are: Approachable for at least second or third year students and beyond (The students have taken all of the introductory Math courses, Logic, Real Analysis, Discrete, Algebra, etc) outside of standard course material.
Here are some ideas for students class 4 Maths projects: Chart of symmetrical shapes in your neighbourhoods. Different hours in a wallclock. Difference between heavy and light. Tall, Taller and Tallest objects in a sequence. Draw the topview of different objects present in a drawing room (fans, sofas, TV, etc.)
Here is a stepbystep guide to help you select appropriate math project ideas: Identify Interests: Consider students' interests and passions to make the project engaging and relatable. Grade Level Appropriateness: Ensure the complexity of the project aligns with the student's grade level for an optimal learning experience.