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Learn Maths project with Vedantu

Mathematics is a word that most of the students in their early grade until then and now.

The early graders normally fear the word "Mathematics". But in reality, maths is a subject full of logic and proof.

This is no longer primary to teach the students in the 21st century. Including Mathematics Project in the upper primary stage aids students in picturing the fundamental concepts, principles, theorems, and the underlying procedure occupied in solving them. Mathematics is a word that is feared by the largest of the students in their early grades.

Following are some of the advantages of Maths projects in our schools:

While traditional learning is not much suggested to solve the maths problems, it is recommended to the teachers and board to grant maths education in a more rational and challenging way through project works.

It has been seen that rote learning is not effective in the long term. Maths related projects work not only to help in improving the problem-solving ability but also will be able to learn it in a better way for their lifetime.

These projects help the students to improve their planning and critical thinking ability as they employ “habit of thinking and mind skills”.

Including this concept in the curriculum will also help improve the reasoning skills of the student.

Remember when you try to learn something relating to the real world you understand it better. Similarly, when you try to learn a concept with more examples and relate it to the real world the concept gets deeper into your mind and retains forever and ever. Henceforth, it is always good to do a project on the concept you have understood.

Project 1 

Probability:.

Probability is such a native part of your life that you rarely think about it. Though, every time you use a word like “might,” “may,” “undoubtedly,” “without fail,” or “maybe,” you can see and even a probability that an event will occur.

Scientists and great mathematicians like to express probability more accurately. For example, if you toss a coin in the air, the probability (P) that it will land heads or tails.

Materials Required:

A book and a pencil.

Four coins.

Procedure: 

Using a paper and pencil, draw circles with an “H” or a “T” in the centre of the paper to illustrate the different results when you toss these three coins.

Using the circles that you drew as mentioned above, express the following:

The probability of getting three heads while tossing the coins.

The probability of getting three tails while tossing the coins.

The probability of getting one head and three tails while tossing the coins.

The probability of getting one tail and three heads while tossing the coins.

Hint: There are eight distinctly different possibilities so make sure you haven’t left any of them out.

Try tossing three coins 16 times and writing down the outcomes. Are the probabilities roughly equal as you calculated in step 2? Try tossing three coins 24 times. Are the probabilities any closer?

Project 2 

Pythagoras theorem:.

This theorem states that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

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Colour papers

Ruler and sketches

Make a right angle Triangle, of 3cm, 4cm and 5cm as shown 3cm 5cm.

Make 3 square sheets of 3 * 3 cm, 4 * 4 cm, 5 * 5 cm.

Fix these square sheets to the sides of the triangle.

Make the square sheets into 3 * 3 cm such that 9 squares of equal length

Similarly, repeat the same thing with the remaining square sets. 4cm

By this work, we can prove the above-said theorem.

In the above work, we have considered a = 3cm, b = 4cm and c = 5cm.

Henceforth, 3 square + 4 square = 5 square. 

3 * 3 + 4 * 4 = 5 * 5 

9 + 16 = 25 

Hence the theorem is proved. 

Assessment: 

Geometry map project:.

Angles, Lines, and Triangles: Your assignment is to design a map that includes several distinct kinds of lines, angles, and triangles. Your map can be of a town, your neighbourhood or a made-up place of your own. It must, however, incorporate the following: 2 sets of streets that are parallel Two sets of streets that are perpendicular One street that intersects another street to form an obtuse angle.

Restaurant Menu Project: 

Create a menu for a themed restaurant. The student will write word problems using their menu. It can be a very fundamental element, just adding prices of different items, to more complex problems, like finding the cost of a meal for you and a friend plus tax or figuring the cost of the meal for grandma with her senior discount of 10%. The criteria for each of the following items in the menu are as follows: 4 different types of appetizers, 4 different types of beverages and 4 main dishes.

Compare Two Fractions:

Two proper fractions are given to you with different denominators (show how to write these fractions as decimal numbers and as a percentage. Compare both the fractions using an appropriate mathematical symbol.) Be sure to explain what you are thinking!

Supplementary and Complementary Angles:

Label and highlight the given angles from 6 different pictures. Select six of the following angles: acute angle, obtuse angle, straight, right angle, supplementary angles, and complementary angle. Then measure the acute angle, obtuse angle, supplementary angle, and complementary angles, and write their measures inside the interior of each angle.

Design Your Dream House: 

Draw a 2D version of how you want the front of your house to look like. Must include four windows, and two doors. All lines must be drawn with the help of a ruler and must be in centimetres. Students must then determine the perimeter and area of each window and the door. You must also do the same for the front of the house such that the perimeter and the area. Then you must convert these measurements to millimetres. Each dimension must be written in a typical drafting fashion. Houses must be uniformly coloured, and students may add additional features.

Mathematics Article: 

Draft an article about mathematics, which may include a mathematician. Write 2 important things you learned from the article. At least one-page minimum. Note, write the summary in your own words!

Maths Project assists pupils in developing their critical thinking and reasoning skills. Most schools provide exhibits for classes 5, 6, 7, 8, 9, and 10, where students may display their unique ideas and project work using mathematical models, allowing them to study the topic in a creative way.

There's an ancient adage that goes, "Tell me, and I'll forget; show me, and I'll remember; involve me, and I'll comprehend." Confucius, a Chinese philosopher, said

Today's youth expects an interactive learning paradigm that will keep them engaged and help them absorb the facts quickly. Previously, the primary instrument used by schools to impart instruction was:

writing, 

testing, 

This is no longer necessary to teach pupils in the twenty-first century. This is why the CBSE board of governors has approved a project-based training and learning programme for pupils. Incorporating a Maths project into the CBSE and ICSE curricula has aided millions of students in their professional pursuits.

Benefits of Maths Project Work:

Incorporating a Maths Project into the upper elementary stage assists children with conceptualising the fundamental ideas, theorems, and principles, as well as the underlying method required in solving them. Mathematics is a word that most pupils in their early grades despise. Some pupils utilise arithmetic techniques to solve problems, while others study hard. Maths is a topic that is full of reasoning and proof. The following are some of the benefits of maths projects in schools:

While rote learning is not suggested for solving arithmetic problems, instructors and the board are encouraged to deliver maths education in a more sensible and demanding manner through project work.

Role-learning or memorization is ineffective for long-term memory. Maths-related project work not only improves problem-solving abilities but also allows students to learn in a rewarding method that will last a lifetime.

Maths projects assist pupils to enhance their planning and critical thinking abilities by utilising "habit of thinking and cognitive skills." Incorporating maths projects into the curriculum will also assist students to enhance their thinking abilities.

Students are required to showcase what they have made for their projects in front of the class. This, in turn, assists students in improving their communication and presenting abilities, which will serve them well in their professional careers.

Keeping all of these benefits in mind for the Maths project will aid in producing a memorable learning experience for the pupils.

Maths Project Ideas

Maths Project enables students to put their ideas into practice and get real-world experience. It will assist students in developing interpersonal skills and cognitive ability, as well as increasing their degree of confidence in the topic. Let's look at several maths models here;

Real-world Mathematical Number System

Area and perimeter of various sorts of forms and shapes

Angle Types

Probability and statistics 

Algebraic Equations and Quadratic 

Pythagoras' Theorem

Conic Sections

These are the few general themes for which students can develop a model.

Class 10 Maths Model

For pupils in class 10, we've included some project ideas for maths that are related to their curriculum and can be simply reproduced.

Surface area and volume of a Cube and a Cuboid: 

Students in Grade 10 must be able to compute the surface areas and volumes of specified 3D objects such as a cube, a cuboid, and so on. Try to recognise the 3D forms around you and investigate how we can calculate their surface area and volume.

Areas of two comparable triangles are compared:

The notion of similar triangles is simple to memorise; however, understanding the link between the areas of two similar triangles using their sides is essential.

Finding the angles using trigonometric ratios: 

As we all know, trigonometry can be used to locate the missing sides or angles of a right triangle. More similar situations will be practised with the assistance of a maths project model on trigonometry. The use of trigonometric ratios will aid in determining the needed parameters.

The following are the mean values of the provided data:

In general, we deal with many numbers in our daily lives, and it is often necessary to know the average of these figures, such as the average time to complete a given activity. In this scenario, the idea of mean values is the most efficient way to get the desired outcome.

Probability of random experiments:  

This probability maths project aids in understanding different types of random experiments and determining the probabilities of occurrences related to them. For example, in the experiment of tossing a coin three times, receiving exactly two heads.

Model for 9th Grade Maths Project

Students in Class 9 can utilise these project ideas to construct maths models that are aligned with their curriculum. Try out these 9th grade Math project ideas and have fun while learning.

Numbers are represented in a number line.

In Coordinate Geometry, the Cartesian Plane is used.

Geometry Shapes Types of Triangles Euclid's Geometry Model.

Maths Project Ideas for Class 8 

Secondary students in Class 8 can create some of the greatest functional models based on the following topics:

Creating various types of quadrilaterals

Number line representation of rational numbers

Data grouping, organisation, and display using charts and graphs.

Profit and loss for commodities, as well as the discovery of simple interest

Having fun with numbers

Linear graphs (use matchsticks to represent)

3D Object Visualisation

7th Grade Maths Project

With the aid of practical models, students in Class 7 may easily grasp Mathematics and related principles. They can acquire several project ideas from here to make such models. These models will assist students in visualising topics and developing their confidence in any given area.

Here are the subjects on which students will base their projects.

Integer data types (positive and negative)

Fractional Forms (Proper and Improper fractions)

In two-dimensional space, what are lines and angles?

Triangle Shapes (Scalene, Isosceles and Equilateral)

Quantity Comparison

Imagining Solid Shapes

Maths Project for 6th Grade

When pupils advance from class 5th to class 6th, their educational level rises. They will be introduced to numerous new topics that they did not study in elementary school.

As a result, doing maths projects based on various topics and properly understanding them will be quite fascinating for children.

Knowing and comparing various figures

Whole-number patterns

Defining a Point, a Line, and an Angle (Basic geometry)

Line models of parallel and perpendicular lines

What exactly are decimals and fractions?

Matchstick Patterns in Algebra

Formal symmetry

Mathematical Working Models for Exhibits

Several mathematical projects may be made in school displays, such as:

Calculator: The calculator is constructed of cardboard and has four holes, with the first, third, and fourth holes containing moveable numbers and the second hole containing all the symbols depending on the operations performed: addition, subtraction, division, and multiplication. In this manner, we might construct a man-made calculator and assess the abilities of the exhibition's attendees.

Here are some more nice ideas for developing workable models based on mathematical concepts:

Construct a school project in which each building is represented by a distinct form. For example, the school's roof will be shaped like a triangle.

Create a model using LED lights that are based on trigonometric ratios (Sine, Cosine, and Tangent).

Make a "height and distance" model out of cardboard, paper, pulleys, threads, and other materials.

Using LED lights, match the following model for square and cube numbers.

A model that represents the centroid of several sorts of triangles (Acute, Obtuse and right triangle)

Make a model that depicts the many sections of a circle (radius, diameter, the centre of the circle, chord, sector, arc, etc.)

Geometrical forms in three dimensions

CBSE has included maths projects in its formative and summative classes, and the percentage of marks assigned to the projects ranges from 10% to 15%. The project might take the shape of high-level thinking skills questions or case studies. The class teacher may also reach the pupils through an open book assessment test at times.

The benefits underlie the strategy of accessing their children through maths projects and out-of-school learning. This assists students in making real-life decisions and acquiring mathematical information in a more holistic manner, which will benefit them in their career and professional lives.

We approach making students learn through interactive sessions, and films allow students to study in a dynamic manner.

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FAQs on Maths Project

1. How to get the list of Maths project models and examples?

Students can find a list of Maths projects based on different chapters on various online platforms. Vedantu is one such platform that provides a curated list of projects on different chapters for students. These projects help students to improve their critical thinking and planning skills and imbibe the habit of thinking. With the help of these projects, students can enrich their knowledge regarding the chapters and also get a real-time learning experience.

2. What are some of the Maths topics on which students can find projects on Vedantu’s site?

Following are some of the topics on which Maths projects are available on Vedantu:

Probability

Pythagoras Theorem

Geometry Map Project

Restaurant Menu Project

Compare Two Fractions

Design Your Dream House

Supplementary and Complementary Angles Project

Maths Article

Students can find such self-assessment based project topics on Vedantu’s site. These projects play a vital role in increasing their enthusiasm for learning and also guide them to explore the subject.

3. What is the restaurant menu project? How will this project help them?

In the Restaurant Menu Project, students will be asked to create a menu for a themed restaurant. This is an interesting project that will help students to solve complex mathematical problems. For example, students will be able to calculate the cost of a meal for two including tax or a meal plan for senior citizens with a 10% discount. This is a fun way to learn percentage problems and other arithmetic numerical-based problems with the menu card that they have created.

4. What value will Maths Project add to a student's academic growth?

Students must be asked to take up Maths projects and assignments based on the practical application of the subject. Such projects will improve their subject knowledge and will also hone their problem-solving and research skills. Mathematics is not just about solving textbook problems but applying those concepts to real-life situations. Such projects on topics like probability, profit-loss, percentage, etc. will make students aware of the subject matter in a more comprehensive manner. This will not only improve the subject knowledge of students but will also encourage them to pursue Mathematics during higher studies. Students can avail various fun Maths project topics on Vedantu.

5. What are the benefits of a Maths project?

Maths Project assists students with visualising fundamental concepts, theorems, and principles, as well as the underlying method required in solving them. Maths-related project work not only improves problem-solving abilities but also allows students to learn in a rewarding method that will last a lifetime. Maths projects assist pupils to enhance their planning and critical thinking abilities by utilising "habit of thinking and cognitive skills." Maths projects assist pupils to enhance their planning and critical thinking abilities by utilising "habit of thinking and cognitive skills." Incorporating maths projects into the curriculum will also assist students to enhance their thinking abilities.

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60+ Creative and Engaging Math Project Ideas for Students in 2023

Getting exhausted while searching for the best math project ideas for students? If yes, then have a close look at this blog post to explore some of the creative and engaging math projects for students.

Are you ready to embark on an exciting journey into the world of mathematics? Whether you’re a student looking to expand your knowledge or a teacher seeking innovative ways to engage your students, math projects offer a captivating and hands-on approach to learning.

In this article, we will explore a plethora of math project ideas that will ignite your curiosity, challenge your problem-solving skills, and unlock the hidden wonders of mathematics.

In this article, we will provide you with a comprehensive list of math project ideas that cater to various interests and skill levels. Whether you’re a beginner seeking a foundational project or an advanced learner ready to tackle complex mathematical challenges, you will find inspiration and guidance to embark on your own mathematical exploration.

So, get ready to embark on an exciting adventure into the realm of mathematics through captivating and thought-provoking math projects. Unleash your creativity, apply your knowledge, and discover the beauty and relevance of mathematics in our everyday lives.

Let’s dive into the world of math project ideas and unlock the infinite possibilities that await us!

Math Project Ideas

Table of Contents

Have a close look at math project ideas.

Exploring Number Patterns

maths project model

  • Investigate and analyze the patterns in number sequences, such as Fibonacci sequence, geometric progressions, or prime numbers.
  • Create visual representations or interactive tools to demonstrate number patterns and their properties.
  • Explore Pascal’s Triangle and its connections to binomial coefficients and probability.

Geometry and Spatial Visualization

maths project model

  • Investigate the properties and applications of 2D and 3D shapes, such as polygons, polyhedron , or fractals.
  • Design and construct models of geometric structures using various materials, such as origami or 3D printing.
  • Explore the concept of symmetry and its presence in nature, art, and architecture.

Data Analysis and Statistics

maths project model

  • Collect and analyze data on a specific topic of interest, and present findings using appropriate graphs, charts, or statistical measures.
  • Conduct surveys or experiments to investigate relationships between variables and apply statistical tests.
  • Use statistical software or programming languages to perform advanced data analysis and visualization.

Mathematical Puzzles and Games

maths project model

  • Create original math puzzles, brain teasers, or riddles to challenge logical reasoning and problem-solving skills.
  • Develop mathematical board games or card games that involve strategic decision-making, probability, or algebraic concepts.
  • Organize a math competition or game night to engage peers and promote mathematical thinking.

Real-World Applications of Math

maths project model

  • Explore the applications of mathematical concepts in various fields, such as finance, engineering, or computer science.
  • Investigate the mathematics behind everyday phenomena, such as the physics of projectile motion or the mathematics of music frequencies.
  • Analyze and optimize real-world scenarios using mathematical modeling, such as optimizing routes in transportation or resource allocation problems.

Mathematics and Art Integration

maths project model

  • Create visual artworks that incorporate mathematical concepts, such as tessellations, symmetry, or fractal designs.
  • Study the mathematical principles behind famous works of art, such as the golden ratio in paintings or sculptures.
  • Design and construct mathematical sculptures or installations using mathematical techniques and concepts.

Cryptology and Codebreaking

maths project model

  • Explore the history and principles of cryptography, and design your own encryption algorithms.
  • Investigate different codebreaking techniques and attempt to crack coded messages or ciphers.
  • Analyze the security of modern encryption methods and discuss their impact on privacy and cybersecurity.

Mathematical Investigations

maths project model

  • Conduct independent research on a specific mathematical topic of interest, such as graph theory, number theory, or calculus.
  • Investigate unsolved mathematical problems or conjectures and explore their significance in the field.
  • Write a research paper or present your findings at a math conference or competition.

Mathematics in Nature

maths project model

  • Study mathematical patterns and structures in natural phenomena, such as fractals in plants or the Golden Ratio in seashells.
  • Analyze mathematical principles behind animal behavior, such as patterns in migration or foraging strategies.
  • Explore the application of mathematical models in ecology, population dynamics, or weather prediction.

Mathematics and Technology

maths project model

  • Investigate the role of mathematics in computer graphics, image processing, or cryptography.
  • Explore algorithms and data structures used in computational mathematics or artificial intelligence.
  • Develop a mathematical software tool or application that assists in calculations, visualization, or problem-solving.

Remember to choose a project that aligns with your interests, skill level, and grade level. It’s also helpful to consult with your math teacher or advisor to ensure that the project meets the requirements and objectives of your math curriculum.

Math Project Ideas High School

Here are some math project ideas specifically tailored for high school students:

Mathematical Modeling

Choose a real-world problem, such as population growth, environmental issues, or economic trends, and create a mathematical model to analyze and predict outcomes.

Statistics and Data Analysis

Collect and analyze data on a specific topic, such as surveys, sports statistics, or social trends, and interpret the results using statistical techniques.

Geometry in Art and Architecture

Explore the geometric principles and symmetry found in famous artworks or architectural structures, and create your own artistic or architectural designs based on these concepts.

Financial Literacy

Develop a project that focuses on personal finance, such as budgeting, understanding interest rates, or investing strategies, and analyze the impact of financial decisions using mathematical calculations.

Trigonometry and Engineering

Apply trigonometric concepts to solve real-world engineering problems, such as calculating forces, distances, or angles in structures or mechanical systems.

Probability and Games of Chance

Analyze the probabilities and expected values in games like poker, blackjack, or dice games, and explore strategies for maximizing outcomes.

Cryptography and Data Security

Explore different encryption methods and algorithms, and create your own secure communication system using mathematical principles.

Calculus and Physics

Study the applications of calculus in physics, such as motion, velocity, or acceleration, and solve problems related to rates of change and optimization.

Mathematical Art and Design

Create visually appealing artworks or designs using mathematical concepts like fractals, tessellations, or geometric transformations.

Algebraic Equations and Coding

Use algebraic equations to develop coding projects, such as creating interactive programs, simulations, or games.

Graph Theory and Social Networks

Analyze social network data using graph theory concepts, and investigate connections, influences, or patterns within the network.

Linear Programming and Optimization

Solve optimization problems related to resource allocation, production planning, or transportation using linear programming techniques.

Probability and Genetics

Explore the mathematical principles behind genetics, such as Punnett squares, probability of inheritance, or genetic traits, and analyze real-life genetic data.

Conic Sections and Astronomy

Study conic sections (circles, ellipses, parabolas, hyperbolas) and their applications in astronomy, such as planetary orbits or the shapes of celestial bodies.

Calculus and Growth Models

Investigate growth models, such as exponential or logistic growth, and apply calculus to analyze population dynamics or the spread of diseases.

Remember to choose a project that aligns with your interests, challenges your skills, and allows you to explore a branch of mathematics that fascinates you.

Math Project Ideas for College Students

Here are some math project ideas suitable for college students:

Cryptocurrency Analysis

Investigate the mathematical principles and algorithms behind cryptocurrencies like Bitcoin. Analyze their security features, blockchain technology, or encryption methods.

Optimization in Operations Research

Solve complex optimization problems related to logistics, supply chain management, or resource allocation using mathematical models and algorithms.

Chaos Theory and Dynamical Systems

Explore the mathematics behind chaos theory and study the behavior of dynamical systems. Investigate topics like fractals, strange attractors, or bifurcation diagrams.

Network Analysis and Social Networks

Analyze network data, such as social networks or communication networks, using graph theory and network analysis techniques. Study network connectivity, centrality measures, or community detection.

Machine Learning and Data Science

Apply mathematical concepts and algorithms in machine learning and data science projects. Develop predictive models, classification algorithms, or data visualization techniques.

Financial Mathematics

Study mathematical models used in finance, such as option pricing models, portfolio optimization, or risk analysis. Apply these models to real financial data and analyze their outcomes.

Image Processing and Computer Vision

Use mathematical techniques like image transformations, Fourier analysis, or pattern recognition algorithms to develop image processing or computer vision applications.

Mathematical Biology

Apply mathematical modeling techniques to biological phenomena, such as population dynamics, epidemiology, or ecological systems. Analyze the behavior of mathematical models and compare them with real-world data.

Quantum Computing and Quantum Information

Study the mathematics behind quantum mechanics and explore quantum computing algorithms. Investigate quantum information theory and its applications.

Game Theory and Decision Making

Apply game theory concepts to analyze strategic decision-making in various fields, such as economics, politics, or biology. Investigate topics like Nash equilibria, auctions, or evolutionary game theory.

Data Compression and Information Theory

Explore compression algorithms and information theory principles. Develop compression techniques and analyze their efficiency and effectiveness.

Numerical Analysis

Investigate numerical methods for solving mathematical problems, such as numerical integration, interpolation, or solving differential equations. Compare different algorithms and analyze their accuracy and efficiency.

Mathematical Optimization in Engineering

Apply mathematical optimization techniques to engineering problems, such as structural optimization, process optimization, or control systems design.

Robotics and Automation

Study mathematical concepts used in robotics and automation, such as kinematics, trajectory planning, or sensor fusion. Implement and analyze algorithms in robotic systems.

Computational Geometry

Explore algorithms and techniques used in computational geometry, such as convex hulls, triangulations, or geometric transformations. Apply these concepts to solve geometric problems in various applications.

Remember to choose a math project that aligns with your interests, challenges your skills, and allows you to delve deeper into a particular area of mathematics.

What should I make for a math project?

When deciding what to make for a math project, it’s important to consider your interests, level of mathematical understanding, and the resources available to you. Here are a few ideas to inspire you:

Interactive Math App

Create a mobile or web application that helps users practice math skills through interactive exercises, quizzes, or games. Focus on a specific topic or offer a range of math challenges for different levels of difficulty.

Mathematical Model

Develop a mathematical model to solve a real-world problem. This could involve analyzing population growth, predicting stock market trends, or optimizing resource allocation. Use mathematical equations and data analysis techniques to create your model.

Math Video Tutorial

Create an educational video tutorial that explains a challenging math concept or problem-solving technique. Use visual aids, step-by-step explanations, and examples to help your audience understand the topic better.

Mathematical Artwork

Combine mathematics and artistic creativity by designing and creating a piece of artwork inspired by mathematical concepts. This could involve creating geometric patterns, fractal art, or using mathematical equations to generate visually appealing designs.

Math Investigation

Choose a math topic that interests you and conduct an in-depth investigation. This could involve researching the history and development of the topic, exploring related theorems and proofs, and presenting your findings in a well-structured report.

Math Board Game

Design and create a math-themed board game that engages players in mathematical concepts and problem-solving. Incorporate elements of strategy, calculation, and critical thinking to make it both fun and educational.

Math Infographic

Create an informative and visually appealing infographic that explains a complex mathematical concept, theorem, or mathematical application in an accessible and engaging manner. Use illustrations, diagrams, and concise explanations to convey your message effectively.

Math Research Paper

Conduct original research on a specific math topic and write a research paper detailing your findings. This could involve exploring unsolved math problems, developing new proofs, or extending existing mathematical theories.

Math Quiz App

Develop a quiz application that challenges users with math questions from various topics and difficulty levels. Include features such as score tracking, timed challenges, and explanations for correct answers.

Math Data Visualization

Collect and analyze data related to a specific math topic or real-world phenomenon. Use data visualization techniques to present your findings in a visually compelling and informative manner.

Remember to choose a project that aligns with your interests, challenges you to learn and explore new concepts, and allows you to showcase your creativity and problem-solving skills.

What are the 5 main topics in mathematics?

Mathematics is a vast and diverse field, but there are five main branches or topics that serve as the foundation for many other subfields. These five main topics in mathematics are:

Arithmetic is the study of basic mathematical operations, including addition, subtraction, multiplication, and division. It involves working with numbers and understanding their properties. Arithmetic forms the building blocks of mathematics and is essential for everyday calculations.

Algebra deals with the study of symbols and the rules for manipulating these symbols to solve equations and represent mathematical relationships. It includes concepts like variables, equations, inequalities, and functions. Algebra is used extensively in various branches of mathematics and beyond.

Geometry explores the properties and relationships of shapes, lines, angles, and solids. It involves concepts such as points, lines, planes, angles, triangles, circles, and three-dimensional figures.

Geometry is essential for understanding spatial relationships and has applications in fields like architecture, engineering, and art.

Calculus deals with the study of change and motion. It includes differential calculus, which focuses on rates of change and slopes of curves, and integral calculus, which deals with areas under curves and accumulation.

Calculus is crucial in understanding complex systems and is fundamental in fields like physics, engineering, economics, and computer science.

Probability and Statistics

Probability deals with the study of randomness and uncertainty, while statistics involves collecting, organizing, analyzing, interpreting, and presenting data.

These branches are vital for making predictions, drawing conclusions from data, and making informed decisions in various disciplines, including science, social sciences, and finance.

These five main topics form the core of mathematics and provide a solid foundation for exploring more advanced and specialized areas within the field.

What is project work in mathematics?

Project work in mathematics refers to an educational approach where students engage in hands-on activities, investigations, or research related to mathematical concepts, problems, or real-world applications.

It involves students taking an active role in their learning by exploring mathematical ideas, solving problems, and presenting their findings in a creative and meaningful way.

In a math project, students are typically given the freedom to choose a topic of interest within the scope of the curriculum or a specific mathematical theme.

They then work independently or collaboratively to investigate the chosen topic, apply mathematical concepts and problem-solving strategies, and draw conclusions based on their findings.

What are the topic in mathematics?

Mathematics covers a wide range of topics that explore various aspects of numbers, patterns, structures, and relationships. Here are some of the major topics in mathematics:

Number Theory

The study of properties and relationships of numbers, including prime numbers, divisibility, modular arithmetic, and Diophantine equations.

The branch of mathematics that deals with symbols and the manipulation of equations, expressions, and mathematical structures. It includes topics such as equations, functions, polynomials, matrices, and vectors.

The study of shapes, sizes, and properties of figures and spaces. It includes topics like points, lines, angles, polygons, circles, transformations, and three-dimensional geometry.

The branch of mathematics that focuses on change and motion. It includes differential calculus, which deals with rates of change and slopes of curves, and integral calculus, which deals with areas under curves and accumulation.

Probability involves the study of randomness, uncertainty, and the likelihood of events occurring. Statistics deals with collecting, analyzing, interpreting, and presenting data to make informed decisions and draw conclusions.

Discrete Mathematics

The study of mathematical structures that are fundamentally discrete rather than continuous. It includes topics such as combinatorics, graph theory, logic, and set theory.

Linear Algebra

The study of vector spaces, linear transformations, matrices, and systems of linear equations. It has applications in various areas, including computer science, physics, and engineering.

Differential Equations

The study of equations that involve derivatives and their applications in modeling dynamic systems and physical phenomena.

The study of properties of space that are preserved under continuous transformations. It explores concepts like continuity, compactness, connectedness, and the structure of geometric spaces.

Mathematical Logic

The study of formal systems, proofs, and mathematical reasoning. It involves topics like propositional and predicate logic, proof theory, and mathematical foundations.

These are just some of the major topics within mathematics, and each topic contains many subtopics and areas of specialization. Mathematics is a dynamic and evolving field, with connections to other disciplines and applications in various real-world contexts.

How to Choose Math Project Ideas

Choosing math project ideas can be an exciting process that allows you to explore your interests and showcase your creativity. Here are some steps to help you choose a math project idea:

Identify Your Interests

Start by considering your interests within the realm of mathematics. Think about topics or areas that intrigue you or concepts that you find fascinating. Whether it’s geometry, number theory, data analysis, or any other branch of math, selecting a topic that captivates you will make the project more enjoyable and rewarding.

Consider Your Level of Understanding

Assess your current mathematical knowledge and skills. Choose a project idea that aligns with your level of understanding, allowing you to build upon your existing knowledge while also challenging yourself to learn new concepts.

This balance will keep you engaged and motivated throughout the project.

Explore Real-World Applications

Think about how math is applied in the real world. Consider areas where math plays a crucial role, such as science, engineering, finance, or technology. Exploring real-world applications of math can inspire project ideas that are relevant and meaningful.

Brainstorm and Research

Brainstorm a list of potential project ideas based on your interests and the applications you’ve identified. Then, conduct research to gather more information about each idea.

Look for resources like books, articles, online platforms, or educational websites that provide insights and examples related to your potential project topics.

Consult with Teachers or Mentors

Seek guidance from your math teacher or mentors who can provide valuable input and suggestions based on their expertise. They can help you refine your project ideas, provide additional resources, or suggest modifications that align with your academic goals and the project requirements.

Consider Available Resources

Evaluate the resources available to you, including materials, technology, and access to data or software. Choose a project idea that can be realistically executed within the resources you have access to. This will ensure that you can complete the project successfully and effectively.

Balance Challenge and Feasibility

Strive for a project idea that strikes a balance between being challenging and feasible. You want a project that pushes your boundaries and allows you to learn and grow, but it should also be realistic and achievable within the given time frame and available resources.

Reflect on Personal Goals

Consider your personal goals and objectives for the math project. Are you aiming to deepen your understanding of a specific concept, showcase your problem-solving skills, or explore a new area of mathematics?

Tailor your project idea to align with your personal goals to make the most out of the experience. Remember to choose a project idea that excites you, aligns with your capabilities, and provides opportunities for learning and growth.

By following these steps, you can select a math project idea that not only fulfills the requirements but also allows you to explore the fascinating world of mathematics in a meaningful way.

In conclusion, the field of mathematics offers a vast array of exciting and engaging project ideas that can captivate both students and enthusiasts alike.

From exploring the mathematical beauty of the golden ratio and fractals to analyzing the presence of mathematical patterns in music and nature, these projects allow individuals to delve into the fascinating intersections of mathematics with various disciplines.

Ultimately, undertaking a math project allows individuals to deepen their understanding of mathematical concepts, apply theoretical knowledge to practical situations, and unleash their creativity in unique and meaningful ways.

It is through these projects that the abstract concepts and theories of mathematics come alive, capturing the imagination and inspiring a lifelong appreciation for the elegance and power of numbers.

Whether it’s unraveling the mysteries of the Fibonacci sequence, designing innovative mathematical puzzles, or analyzing complex data sets, math projects offer endless possibilities for exploration, discovery, and personal growth.

So, embrace the challenge, embark on a math project that excites you, and witness the transformative power of mathematics unfold before your eyes.

Frequently Asked Questions

How can i choose the right math project for me.

Consider your interests and the branch of mathematics you want to explore. Look for project ideas that align with your preferences and allow you to delve deeper into a specific area.

Do I need advanced mathematical knowledge to undertake these projects?

The level of mathematical knowledge required depends on the specific project. Some projects may require a basic understanding, while others may be more suitable for advanced learners. Choose projects that match your current skill level.

Can these math projects be done individually or in groups?

Math projects can be undertaken individually or in groups, depending on your preference and the project’s requirements. Collaborating with others can provide different perspectives and enhance the overall learning experience.

Are there any online resources or tools available for these math projects?

Yes, numerous online resources, software, and programming languages can assist you in exploring and implementing math projects. Look for reputable websites, educational platforms, or mathematical software that can support your project.

How can math projects benefit my educational journey?

Math projects encourage active learning, critical thinking, and problem-solving skills. They provide hands-on experiences that reinforce mathematical concepts and foster a deeper understanding of the subject. Furthermore, math projects can serve as impressive additions to your academic portfolio.

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Math Projects : 20 Simple and Interesting Ideas

Table of Contents

23 January 2021

Reading Time: 7 minutes

Mathematics is not about understanding different things and concepts; it is about getting used to them by applying the concepts in everyday tasks.

What could be a better way to learn these applications other than interesting maths projects which facilitate both creativity and knowledge.

These projects on mathematics give an understanding of how mathematics works. Mathematics is in and around you everywhere in the form of numbers, shapes, sizes, volume, weight, etc.

Our task is to figure out and identify these numerous situations and things around us to play with numbers and concepts. 

  • Fun Math activities for Class 3

Math projects  

Here is a downloadable PDF that consists of Math projects for Grades 6-10. Click on the download button to explore them. Understanding and grasping the ideas of mathematics in a better way.

These maths projects help in developing very important mathematical skills like:-

Correlating the concepts taught in the classes with the practical applications of those concepts

Proving a hand on experience to the children 

Fostering teamwork, coordination, and communication along with creativity and knowledge

Understanding and grasping the ideas of mathematics in a better way

Visualizing the concepts in the form of diagrams, graphs, and images facilitates a better understanding

Improving their problem-solving skills, reasoning, and planning skills, etc.

Making real-life decisions that leads to a holistic approach to learning.

In this article, we have brought for you 20 topics for maths projects which will help you develop simple maths projects.

Maths project ideas for Class 6

Some of the ideas for simple maths projects for class 6 are:

Number System Tree

The number system is one of the most basic concepts in mathematics. It is very important to understand the different types of numbers (order and even numbers, fractions and decimals, natural numbers, whole numbers, positive and negative numbers, etc.) and the different properties of numbers. A project for the same will help the student understand and correlate the relations between different types of numbers.

Shapes and Figures

Shapes, figures, and sizes are a very important concept of geometry. A student must understand the different properties of different geometrical figures. It starts from class 6 but has various applications in higher-level education. Therefore it is very important to have a proper foundation that is only possible through a project on the same.

Practical examples of different chapters

From class six onwards, students start getting exposed to different topics that have a number of practical applications like percentages, profit, and loss, interest, etc. Students can be asked to make their own problem statements by practicing creative problems with respect to the same chapters. This will help them to correlate the concepts with the practical world.

History of maths and different topics

It is very important to understand the history or the background of a subject or a topic before starting to learn more about it. But, because of the curriculum norms, this very important aspect is skipped from the school syllabus. Projects can be a great way to help students do research about it. This will facilitate better knowledge and understanding.

Conversions

There can be a project work that is specifically dedicated to conversions of different things like fractions to decimals or vice versa, negative to positive or vice versa, etc. These are very simple concepts but students often tend to make mistakes because of a lack of clear understanding. Good, detailed project work will help them develop a base.

Ideas for Maths Project for Class 7

Some of the ideas for the projects on mathematics for class 7 are:

Practical Applications of different chapters

As stated above, maths is a practical subject and it is very important to understand the concepts. The best way to do this will be to allow students to undergo practical examples related to different chapters and come up with creative problem statements, ideas, and solutions. For example, the student can find out the average amount spent on the purchase of different items, or he/she can find out the profit or the loss of the shopkeeper, etc.

Formula lists

Making a formula list will be a great project work because it will not only help the student in the short run but also facilitate his/her learning before the exams and in the case of higher education. This will serve both as a research and as a document of reference.

Puzzles and brain teasers projects

Puzzles and brain teasers are a very dynamic way of inculcating knowledge, fostering creativity, and facilitating practical viewpoints. This helps a student to think and come up with answers along with reasons to support it. It helps them in a better decision making process.

Algebraic expressions 

Students are exposed to a new field of mathematics in class 7 which is algebra. Good project work can help a student to develop a strong base in understanding different algebraic equations and expressions. This project work can include a number of numerical, interesting problem statements, and mental math calculations.

Sets and Venn diagrams

This is a very interesting concept but can be a confusing one if not understood properly because the concepts are somewhat overlapping with each other. There are very minute differences in this particular topic. Detailed project work can actually help a student clear all their doubts and develop a strong base for higher education.

Topics for Maths Project for Class 8

Some of the ideas for interesting maths projects for class 8 are:

Construction in Geometry

A very important part of geometry is to learn constructions of different shapes and figures of different types. Learning and building the basics of construction in geometry is very important to understand various higher-level educational studies like physics and architecture. 

This project work is actually never-ending. Students don't learn all the concepts in a single standard. They continue learning various different concepts in different chapters that have different practical applications. Slowly, the level of difficulty keeps on increasing. Therefore it is very important to stay updated and improvise the skills through project works which allow us to correlate the concepts of the chapters with practical examples.

Mensuration of figures

For the first time in class VIII, a student gets exposed to the chapter on menstruation. This chapter facilitates measurements of different things. It may include length, perimeter, area, etc. There are a number of concepts and a number of formulas that are related to this particular topic. Therefore giving good project work that helps students to understand these concepts by applying the given formulas and correlating them with the practical ships will foster growth and development in knowledge.

Mirror symmetry and Reflection

Symmetry and reflection are one of the easiest concepts of mathematics. This could be a very fun and interesting project for a student wherein he will understand the difference between symmetrical and asymmetrical figures and will also develop a base for higher-level education.

Making practical models for different topics

Project works can be done in two ways - (1) As mentioned above, using pen and paper by drawing various diagrams and graphs; (2) Making practical models explain different concepts. These practical models help a student to develop the power of visualization and foster teamwork and creativity. This will be a little difficult because it will require the culmination of different ideas from other subjects also. But, if done successfully, this can be a great learning experience.

Maths project ideas for Class 9-10

Some of the ideas for maths projects for class 9-10 are:

Heights and Distances

A student gets exposed to the concept of trigonometry for the first time in class 9-10. This concept is very widely used to understand heights and distances which plays a very important role in practical life. This also develops a base for various higher-level studies. Students can be asked to draw diagrams and graphs and correlate the concepts with the same to develop a better understanding.

Statistics and graphs

It is in class 9 that a very new dimension of mathematics opens up for the students which are known as statistics. A very important part of statistics is graphical representations that have their application in almost every sphere of knowledge. Therefore, it becomes very important to understand the basics of these concepts and good project work on this topic will definitely foster good learning.

Making and understanding 3D figures

There are various 3-D figures which a student must understand, like cubes and cuboid being the basics. The calculations for these 3-D figures are not as easy as the 2-D figures. Therefore, good project work will facilitate the visualization of 3-D figures and also help students to understand the various formulas and calculations related to it.

Similarity and Congruency

Another very important concept of geometry that pops up in class 9-10 is the similarity and congruency of triangles. Students often face a lot of difficulty in understanding these concepts. Therefore, a project work that has a good amount of research work with a number of assignments and questions to solve will definitely help a student to learn the concept of similarity incongruency.

Mensuration and Volume

The concepts of mensuration take a whole new level in class 9-10. It brings in new concepts like surface area, volume, etc., and also brings in new figures like a cylinder, circle, cone, etc. It is equally important to understand these concepts and shapes also. Good project work will definitely foster a good knowledge of these concepts.

These were some of the most interesting lists of maths project topics that we have curated for you through this article. We hope this article was useful and will help the readers to choose some of the most interesting topics out there to learn, grow and develop. These topics are proven to be the most beneficial for students. Choose from the best, the ones which suit you the best.

About Cuemath

Cuemath, a student-friendly mathematics and coding platform, conducts regular  Online Classes  for academics and skill-development, and their Mental Math App, on both  iOS  and  Android , is a one-stop solution for kids to develop multiple skills. Understand the Cuemath Fee structure and sign up for a free trial. 

Frequently Asked Questions (FAQs)

What are the mathematical tools which are essential in building projects.

  • Chart Paper (For creating shapes etc.)
  • Set Squares

What are different types of graphs which can be used to describe data?

  • Bar Graph - For Discrete Numerical Data
  • Pie Chart - For Percentage Data
  • Histograms - For Continuous Numerical Data
  • Line Chart - For Discrete Numerical Data (used for showing the comparison between the values)

12 Math Project Ideas for Middle and High School Students

Photo of Janos Perczel

By János Perczel

Co-founder of Polygence, PhD from MIT

6 minute read

pencil on a notepad

Mathematics serves as the foundation for most fields of science, such as physics, engineering, computer science, and economics. It equips you with critical problem-solving skills and the ability to break down complex problems into smaller, more manageable parts. It helps you avoid ambiguity and communicate in what is often called “the universal language,” so-called because its principles and concepts are the same worldwide. Beyond the fact that studying math can open up many career opportunities, some mathematicians also simply find beauty in the equations and proofs themselves.

In this post, we’ll give you ideas for different math research and passion projects and talk about how you can showcase your project.

Finding Your Math Passion Project Focus

Because math is so foundational in the sciences, there are many different directions you can take with your math passion project. Decide which topics within mathematics most speak to you. Maybe you’re more interested in how math is used in sports statistics, how you can harness math to solve global problems, or perhaps you’re curious about how math manifests itself in the physical realm. Once you find a topic that interests you, then you can begin to dive deeper. 

Keep in mind that some passion projects may require more technical skills, such as computer programming, whereas others may just explore theoretical concepts. The route you take is totally up to you and what you feel comfortable with, but don’t be afraid to pursue a project if you don’t currently have the technical skills for it. You can view it as an opportunity to learn new skills while also exploring a topic you’re excited about.

12 Math Research and Passion Project Ideas

1. the mathematical properties of elections.

In recent years, there has been a lot of discussion about which election mechanism is most effective at achieving various goals. Proposed mechanisms in United States elections include majority elections, the electoral college, approval voting, and ranked-choice voting. All of these mechanisms have benefits and drawbacks, and it turns out that no perfect election mechanism exists. Look at the work being done by mathematicians to understand when elections fail, and what can be done to improve them. Choose the strongest mechanism and use evidence to support your claim.

Idea by math research mentor Grayson

2. Knot theory

A knot is simply a closed loop of string. Explore how mathematicians represent knots on a page. Learn how knots can be combined, and how to find knots that can't be created by combining other knots. You can learn techniques for determining whether or not two knots are distinct, in the sense that neither can be deformed to match the other. You can also study related objects, such as links and braids, and research the application of knots in the physical sciences.

Idea by math research mentor Alex

3. Bayesian basketball win prediction system

The Bayes’ Rule is crucial to modern statistics (as well as data science and machine learning). Using a Bayesian model to predict the probability distribution of basketball performance statistics, you can attempt to predict a team’s win and loss rate versus another team by drawing samples from these distributions and computing correlation to win or loss. Your project could be as simple or as complicated as you want. Based on your interest and comfort level, you could use simple normal models, mixture models, Gibbs sampling , and hidden Markov models. You can also learn how to code a fairly simple simulation in R or Python. Then, you’ll need to learn how to interpret the significance of statistical results and adjust results over time based on the success/failure of your model over time.

Idea by math research mentor Ari

4. Finding value in Major League Baseball free agency

Here’s another sports-related project idea. Every offseason, there are hundreds of professional baseball players who become free agents and can be signed by any team. This project involves determining which players might be a good "value" by deciding which statistics are most important to helping a team win relative to how players are generally paid. After deciding which stats are the most important, a ranked list of "value" can be produced based on expected salaries.

Idea by math research mentor Dante

5. Impact of climate change on drought risk

Are you interested in environmental economics, risk analysis, or water resource economics?

You can use historical data on precipitation, temperature, soil moisture, drought indicators, and meteorological models that simulate atmospheric conditions to train a machine-learning model that can assess the likelihood and intensity of droughts in different regions under different climate scenarios. You can also explore your assessments' potential adaptation strategies and policy implications. This project would require some skills in data processing, machine learning, and meteorological modeling.

Idea by math research mentor Jameson

Ready to research with an expert and on your schedule?

Polygence pairs you with an expert mentor in your area of passion. Together, you work to create a high quality research project that is uniquely your own. We also offer options to explore multiple topics, or to showcase your final product!

Student exploring their passions

6. Making machines make art 

You can program a computer to create an infinite number of images, music, video game levels, 3D objects, or text using techniques like neural style transfer, genetic algorithms, rejection sampling, Perlin noise , or Voronoi tessellation . Your challenge then is to create a functioning content generator that you could then showcase on a website, research conference, or even in a gallery exhibition.

Idea by math research mentor Sam

7. Measuring income inequality and social mobility

If you’re interested in the intersection of mathematics and public policy, here’s an idea. Use data from the World Bank, the Organization for Economic Co-operation and Development (OECD), and other sources to calculate the Gini coefficient and the intergenerational elasticity of income for different countries and regions over time. Explore the factors that influence these measures and their implications for economic development and social justice. You will need to have some skills in data collection, analysis, and visualization.

8. Rocket (fuel) science

Rockets are mainly made out of fuel. When the fuel burns, it gets heated and expelled out, producing thrust. Fuel is heavy and, for long-range space missions, we need to carry around the fuel for the rest of the mission the whole way. It is important that the fuel gives us the most bang for our buck (i.e., the most acceleration per unit of fuel). Compare the amount of fuel (weight) required to get to various celestial objects and back using current electric and chemical propulsion technologies . Then do a cost analysis and compare how long it would take.

Idea by math research mentor Derek

9. COVID-19 and the global financial crisis

It is shocking how the economic effects of COVID-19 have far outweighed the ones from the Global Financial Crisis in 2007-08 . How much is the difference in terms of employment? Production? Let's go to the data!

Idea by math research mentor Alberto

10. Modeling polarization in social networks

We've all seen or heard about nasty political arguments and echo chambers on social media, but how and why do these happen? To try and find out, construct a mathematical and/or computational model of how people with different opinions interact in a social network. When do people come to a consensus, and when do they become more strongly divided? How can we design social networks with these ideas in mind?

Idea by math research mentor Emily

11. The world of mathematics

The history of mathematics dates all the way back to the very first civilizations and followed throughout history all over the globe. This development leads us to our way of living and thinking today. Rarely taught in math courses, the origins of math can provide clear insight into the necessities of learning math and the broad applications that math has in the world. Conduct research on a chosen time period, location, or figure in mathematics and describe the impacts this innovation or innovator had on the development of math as we know it today.

Idea by math research mentor Shae

12. Simulating the stock market

Here’s an idea for a beginner-to-intermediate statistics and programming project centered around Monte Carlo simulations. Monte Carlo simulations are random methods for modeling the outcome of a complicated process. These methods are used in finance all the time. How could you code a program that uses the Monte Carlo technique to "simulate" the stock market? You will need some familiarity with statistics, basic finance, and basic programming in any language to complete this project.

Idea by math research mentor Sahil

Showcasing Your Math Passion Project

After you’ve done the hard work of completing your mathematics passion project, it’s also equally important to showcase your accomplishments . You can see that in many of the project ideas above, there is a clear topic, but how you want to present the project is open-ended. You could try to publish a research paper , create a podcast or infographic, or even create a visual representation of your concept. You’ll find that although many project ideas can simply be summarized in a paper, projects can also be showcased in other creative ways.

Examples of Math Passion Projects Completed by Polygence Students

There are several examples of math projects Polygence students have completed through enrolling in our programs; we’ll highlight two here.

Ahmet's mathematical passion project offers detailed breakdowns of the first introduced quantum algorithm Deutsch-Jozsa, and the first quantum algorithm proven to be faster than classical algorithms, Grover’s Algorithm. It also includes a side-by-side comparison of the quantum algorithms and their classical counterparts. He uploaded his paper on Github and plans to submit it to an official publication soon.

Anna’s finance project provides an overview of topics related to personal finance, covering tax and benefits, tax-deferred savings, interest rates, cost of living, investing, insurance, and housing to help young adults manage their savings. To further her understanding of how different areas of finance influence one's life consumption, she created a life consumption plan for a hypothetical person and produced a paper. 

Getting Guidance and Support on Your Math Project

In this post, we covered how to find the right mathematics project for you, shared a dozen ideas for physics passion projects, and discussed how to showcase your project.

If you have a passion for math–or are generally curious about exploring mathematical concepts–and are interested in pursuing a passion project, Polygence’s programs are a great place to start. You’ll be paired with a mathematics research mentor with whom you’ll be able to meet one-on-one. Through these virtual mentorship sessions, your mentor can help you learn new concepts, troubleshoot issues you encounter along the way to bringing your math project to completion, and brainstorm with you on how to showcase your passion project .

Related Content

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Why Research Mentorship is Critical for High School Students

Get an Edge in College Admissions Through Doing a Research Project

What Sets Polygence Apart from Other Research Programs for Middle and High School Students

More Than Just a Number: Showcasing Your Research on College Applications

How I Advocated for Students as an Admission Officer When They Wrote About Passion Projects

Want to start a project of your own?

Click below to get matched with one of our expert mentors who can help take your project off the ground!

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Maths Projects – List of Math Project Models and Examples | Mathematics

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Learn Maths project with Infinity Learn

Maths Projects – List of Math Project Models and Examples | Mathematics: Maths is a very important subject that is required in almost every field. However, a lot of people find it difficult to learn. Infinity Learn is a project that is trying to make learning maths easier and more fun.

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Target Exam ---

The Infinity Learn project is a website that is designed to help people learn maths. It is a free website that is available to anyone who wants to use it. The website has a variety of different tools that can be used to help people learn maths. These tools include tutorials, quizzes, and games.

The tutorials on the Infinity Learn website are designed to help people learn maths step by step. The tutorials are easy to follow and are suitable for people of all ages. The quizzes on the website are also designed to help people learn maths. They are designed to test the user’s knowledge and help them to learn new concepts. The games on the website are also a great way to learn maths. They are fun and challenging, and they help the user to learn new concepts in a fun and interactive way.

The Infinity Learn project is a great way to learn maths. The tutorials are easy to follow, the quizzes are helpful, and the games are fun. The website is free to use, and it is available to anyone who wants to use it.

Maths Projects - List of Math Project Models and Examples | Mathematics

Following are some of the advantages of Maths projects in our schools

  • Maths projects help students develop their problem-solving skills.
  • They help students learn and understand complex mathematical concepts.
  • Maths projects help students practice their teamwork skills.
  • They help students develop their research skills .
  • Maths projects help students learn to think critically and creatively.
  • The goal of this project is to develop a web application that will allow users to create and manage their own online store. The application will need to include features for managing inventory, adding and managing products, setting up payment methods, and shipping options. The application will also need to include a system for tracking orders and managing customer information.
  • The application will need to be designed with a user-friendly interface that will make it easy for users to navigate and manage their store. The application must also be secure, with features for protecting customer information.
  • The project will require the development of a backend system that will manage the store operations, as well as a front-end system that will allow users to interact with the application. The project will also require the development of a database to store product and customer information.

Probability

The probability that it will rain tomorrow is 50%.

Materials Required:

  • 1 sheet of black construction paper
  • 1 sheet of white construction paper
  • 1 sheet of green construction paper
  • 1 sheet of red construction paper
  • 1 sheet of yellow construction paper
  • 1 sheet of blue construction paper
  • 1 sheet of purple construction paper

Instructions:

1. Cut the construction paper into 6″x6″ squares.

2. On one square, draw a simple holiday-themed picture with pencil.

3. Cut out the picture with scissors.

4. Glue the picture to a different square of construction paper.

5. Repeat steps 2-4 with the other colors of construction paper.

Supplementary and Complementary Angles

Supplementary angles are angles that are next to each other and have the same measure. Complementary angles are angles that have a measure of 90 degrees.

Vertical angles are angles that are opposite each other and have the same measure.

Maths Project Ideas

  • Mathematical models of physical and biological systems
  • Mathematical modelling of epidemics
  • Mathematical modelling of economies
  • Mathematical modelling of populations
  • Mathematical modelling of fluids
  • Mathematical modelling of weather
  • Mathematical modelling of waves
  • Mathematical modelling of light
  • Mathematical modelling of sound
  • Mathematical modelling of structures
  • Mathematical modelling of materials
  • Mathematical modelling of chaos

Real-world Mathematical Number System

The real-world number system is a base 10 number system. This means that the number 10 has a value of one unit, the number 100 has a value of 10 units, and the number 1000 has a value of 100 units. In the real-world number system, the number 10 is represented by the symbol ’10’, the number 100 is represented by the symbol ‘100’, and the number 1000 is represented by the symbol ‘1000’.

Class 10 Maths Model

Question Paper

1. Find the value of the following expression:

8×4-6×2

8×4-6×2=8×2-6×2 =2×2 =4

Model for 9th Grade Maths Project

A project on 9th grade maths could involve any number of topics, from basic arithmetic and algebra to more complex concepts like geometry and trigonometry. As students work on their project, they may want to focus on one particular topic or branch of maths, or they may choose to explore a range of different concepts. Here are a few ideas to get started:

  • Investigating basic algebra concepts, such as solving equations and graphing linear equations
  • Using geometry to explore properties of shapes, including angles, lines, and points
  • Studying basic trigonometry concepts, such as working with angles in radians and degrees, and using basic trigonometric functions
  • Investigating concepts related to calculus, such as limits, derivatives, and integrals
  • Conducting a survey on people’s opinions about maths and their experiences with it in school and beyond

Maths Project Ideas for Class 8

Grade 8 students can explore a variety of math projects, depending on their interests and abilities. Projects could include investigating different types of geometry, studying probability and statistics, or exploring the concepts of algebra and equations. Students could also create their own math problems or puzzles, or explore the history of mathematics.

7th Grade Maths Project

Grade 7 maths projects can vary in topic, but all projects in grade 7 maths should be based on the concepts learned in class. A few possible project ideas include creating a graph or chart of data, writing a story problem, or designing a math game.

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50+ Creative Math Project Ideas for Students of All Ages

Math Project Ideas

Mathematics is an essential subject that plays a critical role in our daily lives. Whether it’s counting change at the grocery store or calculating the distance between two points on a map, math is everywhere. But sometimes, students struggle to find fun in math. This is where math projects come in – they can be a great way to engage students and help them see math in a new light.

In this post, we will explore 50+ creative math project ideas that are suitable for students of all ages. These projects are designed to be both educational and entertaining, and they can help students develop critical thinking, problem-solving, and analytical skills. So, whether you’re a teacher looking for some new math project ideas or a student looking for a fun and challenging project, this blog post has got you covered.

Role of Mathematics In Everyday Life That You Must Know

Table of Contents

Here is the role of mathematics in everyday life that you should know:

1. Daily Life Concepts

Mathematics is a fundamental subject that plays a crucial role in our daily lives. It is the study of numbers, quantity, and space, and it provides a universal language that helps us describe and understand the world around us.

2. Problem Solving

One of the most important roles of mathematics is in problem-solving. From simple arithmetic problems to complex equations, math is used to solve problems in almost every field, including science, engineering, finance, and economics. It provides a framework for analyzing and understanding data, and it helps us make informed decisions based on that data.

3. Technological Advancements

Mathematics also plays a significant role in the development of technology. Many of the technological advancements that we use today, such as smartphones, computers, and the internet, would not have been possible without the use of mathematical principles. In fact, computer programming relies heavily on mathematical concepts such as algorithms, logic, and calculus.

4. Historical Significance

In addition to its practical applications, mathematics also has a cultural and historical significance. 

Elements of Math Project – For All Ages

A math project is an assignment that allows students to apply mathematical concepts and skills to real-world situations. It can be a creative and engaging way to teach and learn math, and it can help students develop problem-solving skills and gain a deeper understanding of mathematical concepts. The following are the essential elements of a math project:

1. Clear Objectives

The project should have specific goals and objectives that are clearly defined and measurable. These objectives should be aligned with the math curriculum and the learning goals for the class.

2. Real-World Context

The project should be designed to solve a real-world problem or address a real-world issue. This helps students see the relevance and practical applications of mathematical concepts and skills.

3. Collaborative Learning

A math project can be an opportunity for students to work collaboratively in teams. This promotes communication, teamwork, and peer learning, which can be beneficial for students’ social and emotional development.

4. Creativity And Innovation

A math project should encourage students to think creatively and outside the box. It can involve designing and implementing their own solutions to problems or developing new methods for solving mathematical problems.

5. Research And Data Analysis

A math project should involve researching and collecting data relevant to the problem or issue being addressed. Students should then use this data to analyze and draw conclusions, using mathematical concepts and skills.

6. Presentation And Communication

A math project should culminate in a presentation or report that effectively communicates the findings and solutions to the problem or issue. This promotes students’ communication skills and helps them learn how to effectively communicate complex ideas.

By incorporating these elements into a math project, students can develop a deeper understanding of mathematical concepts and skills, while also learning how to apply them to real-world situations.

Significance of Math Project That Every Student Must Know

Math projects are significant in many ways as they provide a practical application of the theoretical concepts learned in the classroom. Here are some key reasons why math projects are significant:

1. Enhance Learning

Math projects help students to develop a deeper understanding of mathematical concepts and theories. By applying these concepts to real-life situations, students can gain a better understanding of how math works and how it is relevant to their lives.

2. Foster Creativity

Math projects encourage students to be creative in their problem-solving approach. They encourage students to think outside the box and develop innovative solutions to problems.

3. Develop Critical Thinking Skills

Math projects help students develop critical thinking skills. They teach students to analyze problems, collect and interpret data, and draw conclusions based on evidence. These skills are essential in all areas of life, not just in math.

4. Encourage Collaboration

Math projects often require students to work in teams. This promotes collaboration, communication, and teamwork, which are essential skills for success in any field.

5. Improve Presentation Skills

Math projects require students to present their findings and solutions in a clear and concise manner. This helps them to develop strong presentation skills, which are useful in many areas of life, including academic and professional settings.

6. Real-World Relevance

Math projects often involve real-world problems and situations. This helps students to see the relevance and practical applications of math in their daily lives.

How to Choose Trending Math Project Ideas?

Choosing a trending math project idea can be a fun and exciting process. Here are some tips on how to choose a math project idea that is trending and relevant:

1. Look At Current Events And Popular Topics

One way to choose a trending math project idea is to look at current events and popular topics. For example, you could look at recent developments in technology or advancements in scientific research to find a math project idea that is current and relevant.

2. Explore Online Resources

There are many online resources that provide ideas for math projects. You could explore websites that specialize in math education, such as Math Projects Journal, or look at social media platforms to see what types of math projects are popular among students and educators.

3. Consider Student Interests

Another way to choose a trending math project idea is to consider student interests. You could conduct a survey or poll to determine what types of math projects your students would be most interested in.

4. Look At Previous Projects

You could also look at previous math projects to see what has been successful in the past. This can give you an idea of what types of projects have been popular and what areas of math have been explored.

5. Consult With Other Educators

Finally, you could consult with other educators to get ideas for trending math projects. You could attend conferences, workshops, or webinars to network with other educators and share ideas.

By using these tips, you can choose a trending math project idea that is relevant and engaging for your students. Remember to keep in mind the learning goals of your math curriculum and the interests of your students when selecting a project idea.

Here are 50+ math project ideas that can be used to engage students and deepen their understanding of mathematical concepts:

1. Design a new board game that incorporates math concepts, such as probability or geometry.

2. Create a mathematical art project using shapes and patterns, such as tessellations.

3. Investigate the relationship between the height of a jump and the time it takes to complete the jump.

4. Create a survey to investigate the relationship between a person’s height and shoe size.

5. Use graph theory to design a transportation network for a city.

6. Create a model of a roller coaster using mathematical concepts such as acceleration, velocity, and energy.

7. Investigate the relationship between a person’s age and their reaction time.

8. Use algebraic equations to solve problems related to financial planning, such as calculating the cost of a mortgage.

9. Create a data visualization project that shows the relationship between temperature and air pressure.

10. Investigate the relationship between a person’s level of physical activity and their heart rate.

11. Use geometry to design a city park or a playground.

12. Investigate the relationship between the distance a projectile travels and the angle at which it is launched.

13. Use statistics to analyze data related to sports, such as the number of goals scored in a soccer match.

14. Design a survey to investigate the eating habits of people in your community.

15. Investigate the relationship between the size of a parachute and the time it takes to fall to the ground.

16. Use trigonometry to solve problems related to navigation and surveying.

17. Create a model of a solar system using mathematical concepts such as orbital velocity and gravitational pull.

18. Investigate the relationship between a person’s height and their weight.

19. Use calculus to solve problems related to optimization, such as maximizing profit or minimizing costs.

20. Create a project that uses math to analyze data related to climate change.

21. Investigate the relationship between the size of a fish and its age.

22. Use geometry to design a room or a building.

23. Create a project that uses math to analyze data related to the spread of a disease.

24. Investigate the relationship between a person’s level of education and their income.

25. Use statistics to analyze data related to crime rates in your community.

26. Create a project that uses math to analyze data related to traffic patterns.

27. Investigate the relationship between a person’s level of sleep and their ability to perform tasks.

28. Use algebraic equations to solve problems related to chemistry, such as calculating the concentration of a solution.

29. Create a project that uses math to analyze data related to food production and distribution.

30. Investigate the relationship between a person’s level of stress and their ability to focus.

31. Use geometry to design a garden or a landscape.

32. Create a project that uses math to analyze data related to economic trends.

33. Investigate the relationship between a person’s level of physical fitness and their ability to perform tasks.

34. Use calculus to solve problems related to physics, such as calculating the force required to move an object.

35. Create a project that uses math to analyze data related to the housing market.

36. Investigate the relationship between a person’s level of education and their health.

37. Use statistics to analyze data related to environmental issues, such as pollution levels.

38. Create a project that uses math to analyze data related to energy consumption.

39. Investigate the relationship between a person’s level of physical activity and their risk of developing chronic diseases.

40. Use algebraic equations to solve problems related to genetics, such as calculating the probability of inheriting a particular trait.

41. Create a project that uses math to analyze data related to social media.

42. Dive into the fascinating world of intricate patterns that go on forever.

43. Use your math skills to solve puzzles and find your way out of an exciting escape room adventure.

44. Combine math and art to make stunning and unique creations that showcase the beauty of math.

45. Learn about math by exploring the patterns and relationships found in the art of dance.

46. Enjoy entertaining card games that help you improve your math skills while having a great time with friends.

47. Use coding to tackle math problems and find creative solutions in a fun and engaging way.

48. Learn how math concepts can help you handle your finances effectively and make smart financial decisions.

49. Explore how math is used in the kitchen by measuring ingredients and understanding recipe ratios.

50. Discover how math plays a role in designing buildings and creating your own architectural structures.

51. Test your math skills and compete against others in a thrilling competition focused on solving math problems.

  • Importance of Mathematics in Everyday Life
  • Mathematics Formula Basic That Students Must Learn

Qualities Of Good Math Projects – From Teacher’s Point Of View

Here are the main points qualities of good math projects – from the teacher’s point of view: 

1. Originality

Unique content is original and not copied or duplicated from other sources. It offers fresh and distinctive perspectives, ideas, or information that hasn’t been widely seen or shared.

2. Unique Content 

Unique content grabs attention and stands out from the crowd. It captivates readers or viewers due to its novelty, creativity, or unconventional approach, making it memorable and engaging.

3. Correct And Latest Information 

Unique content provides new insights, viewpoints, or interpretations of a subject. It may offer a different angle, uncover hidden connections, or shed light on lesser-known aspects, expanding the understanding and knowledge of the audience.

4. Try To Present Innovate Ideas

Unique content often involves innovative ideas or solutions. It may present new ways of approaching a problem, introduce novel concepts, or showcase creative applications that inspire and spark curiosity.

5. Audience Engagement

Unique content is designed to engage the audience. It resonates with their interests, needs, or curiosity, creating a connection that keeps them interested, encourages them to explore further, and sparks conversations or interactions.

6. Easy To Understandable

Unique content can be presented simply and easily understandable, making it accessible to a wide range of audiences. It avoids complex jargon or convoluted explanations, allowing readers or viewers to grasp the main ideas without difficulty.

7. Use Well-researched Content 

Unique content should be reliable and backed by credible sources or expertise. It should be accurate, well-researched and provide proper attribution to ensure the trustworthiness of the information presented.

Benefits of Choosing Appropriate Math Project Ideas 

Choosing appropriate math project ideas can offer a range of benefits for both students and educators. Here are some of the key benefits:

1. Engaging and Motivating

Appropriate math projects can be engaging and motivating for students, providing them with a real-world context for applying math concepts they have learned in the classroom.

2. Deepening Understanding

Math projects can deepen students’ understanding of mathematical concepts by providing opportunities to apply these concepts in new and complex contexts.

3. Critical Thinking

Math projects can help students develop critical thinking skills by requiring them to analyze data, identify patterns, and make connections between different mathematical concepts.

4. Collaboration

Math projects can encourage collaboration and teamwork, as students work together to solve complex problems and complete the project.

5. Creativity

Math projects can foster creativity and innovation by challenging students to develop new and creative solutions to complex problems.

6. Practical Application

Math projects can demonstrate the practical application of math concepts in real-world situations, helping students see the relevance and importance of what they are learning.

7. Personalized Learning

Math projects can provide opportunities for personalized learning, as students choose projects that align with their interests and learning goals.

8. Assessment

Math projects can be an effective way to assess student learning, as they provide a comprehensive way for students to demonstrate their understanding of mathematical concepts.

What to Keep in Mind While Choosing Math Project Ideas 

Choosing the right math project idea can be crucial for the success of the project and the learning outcomes for students. Here are some key factors to keep in mind while choosing math project ideas:

1. Relevance

Choose a project that is relevant to the math concepts and skills that students have learned or are currently learning. This ensures that the project builds on students’ existing knowledge and helps to deepen their understanding of math concepts.

2. Difficulty Level

Consider the difficulty level of the project in relation to the students’ grade level and skill level. The project should be challenging enough to provide meaningful learning experiences, but not so difficult that it becomes frustrating and discouraging.

3. Interest and Engagement

Choose a project that is interesting and engaging for students. Students are more likely to be motivated to learn and to put in the effort required to complete the project if it aligns with their interests and passions.

4. Real-World Application

Look for project ideas that have a real-world application. Projects that are relevant to real-world situations provide opportunities for students to see the practical application of math concepts and skills.

5. Creativity and Innovation

Consider project ideas that foster creativity and innovation. These projects can challenge students to think outside the box and develop new and creative solutions to complex problems.

6. Collaboration

Look for projects that promote collaboration and teamwork. These projects provide opportunities for students to work together and learn from each other.

7. Resources

Consider the resources required to complete the project. Make sure that students have access to the resources they need to complete the project successfully, such as materials, technology, and support.

Consider how the project will be assessed. Choose projects that provide opportunities for students to demonstrate their understanding of math concepts and skills in a meaningful way.

By keeping these factors in mind, educators can choose math project ideas that are engaging, relevant, challenging, and meaningful for their students, and that promote deep learning and the development of critical thinking, collaboration, and creativity skills.

Conclusion 

In conclusion, math projects can be an effective way to engage students in meaningful and deep learning experiences. Choosing appropriate math project ideas is crucial for the success of the project and the learning outcomes for students. 

By keeping key factors in mind  educators can choose math project ideas that provide students with opportunities to apply math concepts and skills in real-world contexts, deepen their understanding of math concepts, develop critical thinking and collaboration skills, foster creativity and innovation, and demonstrate the practical application of math in the real world. 

By engaging in math projects, students can gain a deeper appreciation for the role of math in their lives and see how math can be used to solve complex problems and make a difference in the world.

Q1. How can mathematical concepts be applied to create unique and visually stunning works of art

Mathematical concepts such as fractals, tessellations, and symmetry can be applied in art to create unique and visually stunning pieces. Exploring the connection between math and art can lead to fascinating projects and discoveries.

Q2. What are some unconventional ways math can be used to solve everyday problems?

Math can be used in unconventional ways to solve everyday problems. For example, mathematical optimization techniques can be applied to optimize daily schedules or minimize travel time. Probability and statistics can help in decision-making or analyzing trends in everyday life. Exploring these applications can lead to interesting math projects.

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Maths Model

Maths model is an intellectual model that uses mathematical expression to explain the function of a system. In schools, students are assigned Maths projects to make them think and learn. They can use their intellectual abilities to create models. These models will help to learn the concepts in a creative way. 

Mathematical models are primarily used in the field of Natural Sciences and Engineering disciplines, which covers subjects such as Physics, Biology, and Electrical Engineering. It also has its importance in subjects like social sciences covering subjects like Sociology, Political Science and Economics. Physicists, Computer Scientists, Engineers, and Economists use these models most widely. But here we are going to discuss models based on mathematical concepts for Class 5 to 10.

Math Models for Class 10

Students of 10th standard can prepare models on multiple topics covered under the syllabus. They can also make use of Maths Formulas to create such models. Besides, the each of these maths model for class 10 help the students to understand the real-life application of important mathematical concepts and formulas. Some of the ideas for making Math models for 10th class are:

  • Congruency of Triangles- Draw colourful triangles on a sheet of paper and show the congruent triangles by SSS, SAS, ASA and RHS congruency.
  • Circumcentre of different types of triangles- Show the constructions to find the circumcentre of a triangle using colourful papers and threads.
  • Types of functions – In a sheet, paste different types of sets using coloured papers and to show the relation between two sets, you can use ice-cream sticks.
  • Venn Diagram of sets- Take a chart and draw the Venn diagram of a universal set carrying subsets. Separate them using different colour pencils.
  • Circles, tangents, radius, secant, chord, sector. – In a paper chart, draw different types of circles consisting of its radius, tangents, secant, diameter, chord and sector.
  • Finding sides and angles of triangles using Trigonometry – Try solving different triangles problems to find the missing sides or angles using trigonometric ratios.

Among these, maths working model for class 10 on trigonometry and maths working model for class 10 geometry related ones are used to solve different problems in other areas also since various concepts are associated with them.

Maths Model for Class 9

Class 9 students can use the given models for maths concepts. Maths model for class 9 helpful for the students to understand the important of different geometrical concepts in everyday life.

  • Angle Sum Property of Quadrilaterals – Draw a quadrilateral in a paper chart and show its angles with different colours. Draw a circle with those different angles to prove the sum of interior angles of a quadrilateral is 360 degrees.
  • Area of Rhombus – Draw a rectangle and colour it. Now draw a rhombus inside it with a different colour. Join the diagonals of the rhombus with dotted lines. This model is to prove that the area of a rhombus is equal to half of the product of its diagonals.
  • Total Surface area of a Cuboid – Cut and paste different colourful papers to show the surfaces of different sides of the cuboid in a chart. You can also mention the formula for total surface area with a different colour.

Math Model for Class 8

Class 8 students can also use many creative ideas to create models as per their syllabus such as;

  • Pie Chart: In a chart draw a big circle and divide the sections to mention the population of men, women and children in the world. Or you can also create a pie chart for your daily activities like studying, playing, sleeping, etc.
  • Algebraic Formulas: You can use blocks of colourful papers and paste in a chart showing the formulas, where each block will show the individual term.
  • Polygons: Cut and paste different colourful papers in a white chart to show different types of polygons, in increasing order of sides

Math Model for Class 7

Here are some suitable models for students of 7th Standard which they can easily create.

  • Sum of N Even Numbers: Draw a table in a big sheet of paper, having at least ten rows and columns (you can exceed them). Write and show even numbers in different colours. Now you can show the sum of first n even numbers using the formula n(n+1). You can also use this model to represent the sum of N odd numbers.
  • Types of Angles: Students can show different types of angles such as acute angle, right angle, obtuse angle, using colourful pencils or sketch in a big sheet of paper.
  • Lines and Transversal: Use thermocol and cut two parallel lines and one transversal in it. Now show all the eight angles formed by a transversal on the intersection with the two lines.

Math Models for Class 6

Simple models for 6th class students are given here, which they can easily create.

  • Prime and Composite Numbers Chart: Draw a table in a paper chart. Write numbers from 1 to 100 in each block. Highlight the prime numbers with a different colour.
  • Playing With Fractions: Cut a paper in a circle shape. Now, cut another coloured paper of the same shape and size and divide it into six equal pieces through the centre. These pieces of paper can be used to show the fraction part of the whole circle.
  • Clocks: You can create wall clocks using cardboards and needles to show different timings.

Maths Model for Class 5

Class 5 syllabus covers the basics of Maths concepts. Some of the Maths models for them are:

  • Shapes and Angles: Draw different types of shapes such as circle, square, rectangle, etc. in a big paper sheet with colourful sketch pens. Similarly, they can show types of angles.
  • Comparing Patterns: Draw different patterns in a chart to compare them. You can also draw shapes of different sizes and show a comparison between them.
  • How Many Squares: Draw a big rectangle and draw small squares inside it with different colours to show the number of squares we can draw inside it.
  • Numbers: Create an Abacus to count numbers, using thermocol beans and threads encountered with a metallic or wooden frame.

Working Models in Mathematics

There are various ideas in Maths for which students can make working models. These models can be prepared using handicrafts. Students can also use household things such as colourful papers, ice cream sticks, match sticks, plastic spoons, etc., to create models based on mathematical concepts. Some of the ideas are:

  • Arithmetic Operators (+, -, x and ÷)
  • Working Models for addition and subtraction
  • Show the number of legs for different animals such as birds, cows, octopus, spider, etc.
  • Area of circle by cutting the sectors of circle
  • Odd and even numbers model with lights
  • Pythagoras theorem model
  • Venn Diagram model
  • Parts of circles model
  • Tangent to a circle model
  • Conic sections model
  • Build a new house and its ambiance using different geometrical shapes
  • Show the angle of depression with a 3d model of trigonometry

Stages of Mathematical Models

The stages or the steps involved in maths models are given below. These steps help in dealing with maths models for classes 10, 9, 8, 7, 6 and 5.

Step 1: Understanding the problem

In this stage, we need to define the real problem and analyse it by making assumptions and overlooking specific factors so that the problem is tractable.

Step 2: Mathematical description and formulation 

In this step, we need to describe different aspects of the problem in mathematical terms. This formulation may include defining variables, writing equations or inequalities, gathering data and organising it into tables, making graphs if required, etc.

Step 3: Solving the mathematical problem

In this stage, we need to solve the mathematical problem developed in the previous step using suitable mathematical techniques.

Step 4: Interpreting the solution

In this stage, we need to look at the solution set obtained in the previous step and apply it to the context of the real-life situation given in the beginning.

Step 5: Validating the model

The last step is to validate the model, and this involves checking the results obtained through the above steps to satisfy the given real-life scenario.

maths project model

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15 Best & Fun Math Projects for Students

A child doing math problems

Super Easy and Super Fun Math Project Ideas for Grade 1 Students

Exploratory ideas for math projects for grade 2 students, project-based learning math ideas for grade 3 students, math project-based learning ideas for grade 4 students, advanced math projects for students in grade 5, frequently asked questions (faqs).

Math projects for students are a great way to get kids interested in math . They can be used to teach new concepts, review old ones, or just provide some fun and engaging math practice. There are tons of great math projects out there, but we’ve compiled a list of fifteen easy and engaging math projects for elementary school students—the best of the best!

Abacus with beads of different colors

1. Scoop and Cone Matching Game

What you need:

  • Cones and scoops made from felt or cardstock
  • Marker or sketch pens

Description:

Write a number on the cone. Write different combinations of addition and subtraction equations to represent the number on the scoop.

Students have to solve the equations and match the correct scoop to the cone.

Skills Learned:

Addition, subtraction, and the concept of equations

2. More or Less Dot Games

  • Ten frame cards
  • A set of dots (or colorful buttons or plastic corks to use as dots)
  • A deck of cards

Give a student a card and add some dots to it. Ask them, “How many dots are there on the card?” Once students master this, you may ask them, “What number is one more/one less?” You can also give them two cards and ask which one has more or less dots.

For two or more students, card games are a gold mine! Take a deck of cards. Snip off their corners with numerals written on them. Place the cards with their face downward. Ask each student to turn up a card. Ask them to tell whose card is “more” or “less.” Each correct answer wins them a point!

Visualizing numbers, understanding the concept of more or less, comparing numbers, addition, and subtraction

3. Shape Graphs

  • Different geometric shapes in different colors and sizes
  • Graph papers with large rows and columns (with rows mentioning shape names and columns mentioning numbers)
  • Some crayons

Distribute some graph paper among the children. Spread out some shapes in front of them. They have to find out how many shapes of each type there are and color that many boxes of relevant columns.

Recognition of geometric shapes by their names, and understanding and representing data in pictorial form

Drawing line on a sheet of paper with a ruler

4. Elementary Architects

  • Instructions and photos of room designing projects
  • 2-page student project sheet to promote reading in math
  • Note-taking forms
  • Sample blueprints for reference
  • Brainstorming sheet
  • Grid paper templates

Ask the students to design their rooms, calculate areas, and estimate flooring needs by reading the instructions, looking at the photos, and taking notes.

Students love to play architects. Allow them sufficient room for being creative to promote their spatial awareness.

Reading comprehension, estimation, area, and perimeter calculation

5. M&M’s Math Game

  • A box of colorful m&m’s
  • Graph papers for kids

Let your students dig into the box of m&m’s and take a few each. They have to count how many m&m’s of each color they got. If they count m&m’s of each color correctly, they can eat them! Otherwise, they have to return the m&m’s to the box and try again!

As they master their skills, you can take this math game to the next level. They can make a graph using graph paper and crayons! You may have to help them label the graph and the graphing part itself.

Counting, addition, making graphs

6. Hit a Home Run for Math Fact Fluency

  • DIY baseball game board with math facts
  • Number cards
  • Counters to use as baseball players—9 for each team

Write the numbers 1 to 9 in one row and 0 in the next row to make a baseball diamond.

Help your students write math facts such as doubles (2 + 2, 3 + 3, etc.), near doubles (9 + 8), addition/subtraction of 10 (8 + 2, 5 + 5), and related subtraction facts (7 – 3, 9 – 6) on the number cards.

To play, have each student roll two dice. They get to move one of their baseball players the number of spaces corresponding to the first die and then answer the math fact that corresponds to the number they landed on. If they answer correctly, they get to roll again. The first player to get three of their baseball players “home” wins!

Math facts fluency, addition, subtraction

A tamarin monkey on a tree branch

7. Place Value in the Wild Math Project

  • Digital and printable version of a student guide with detailed instructions and visuals
  • Student printables or digital recording sheets guiding students on how to select a habitat, research animals of that habitat, note sizes and lifespans of these animals, etc.

As third graders research animals as expedition scouts for Wildlife Explorers International, they learn about place values through various activities, such as representing numbers in different ways, comparing numbers, and estimating lengths, heights, and lifespans of animals.

You can ask students to use standard numbers, expanded forms, and word forms of numbers. They may also be introduced to decimals through this project.

Place value, estimation, decimals

8. The Time of Your Life

  • A printable or digital student guide with detailed instructions, visuals, and student printables
  • Analog and digital clocks (one per student pair)

In this project, students learn to read the time on both analog and digital clocks. They also practice setting the time on these clocks.

As they work in pairs, they take turns being the “teacher” and the “student.” The teacher explains to the student how to read the time on a clock. Then, the student sets the time on the clock according to the teacher’s instructions.

Or they tell how many seconds, minutes, or hours have elapsed in doing an activity.

It’s a great activity for third graders, where students can win prizes for being the best timekeepers!

Telling time, elapsed time

9. What’s Your Angle, Pythagoras?

  • A scorecard
  • Child-safe compass (optional)

Pythagorean principles are put to the test in this game! Players use a protractor and ruler (or child-safe compass) to draw angles and then measure the length of the sides of right triangles. The goal is to have the longest hypotenuse at the end of the game.

You can call out “Right-Angled Triangle” randomly, and the students have to arrange themselves in the shape in a flash. Those who do it correctly win!

You may also call out “Right Angle”, “Acute Angle”, or “Obtuse Angle” where students have to pair up instantly. If some fail to do it, they are out.

Angles, Pythagorean theorem

Wooden desk calendar

10. Calendar Math in the Classroom

  • A printable or digital calendar template

A perfect math review technique for fifth graders, calendar math is a great way to engage them in the concepts of days, weeks, months, and years. You have to display a calendar in the classroom and point out various aspects of it to the students. For example, you can ask them how many days there are in February, or how many months have 31 days, etc.

You can also use the calendar to teach place value. For instance, you can ask students to name the day on which their birthdays fall this year and write it down. Then, they can find out the day on which their birthdays will fall next year and so on.

This activity can be done with a physical calendar or a digital one. Students can use real-world objects like coins or candy to help them understand the concepts of place value, addition, and subtraction.

Days, weeks, months, years, place value, addition, subtraction

11. Run a Pizza Place

  • Pizza boxes or paper plates
  • Colorful cardboard pizzas

Bring fraction to life with this fun activity! Students run their own pizza place, where they take orders, make pizzas, and serve them to customers.

They can use play money to buy pizza toppings and then charge customers for their pizzas. They can also use fraction strips or circle fractions to create pizzas of different sizes.

Such math projects for students teach them concepts like halves, thirds, fourths, eighths, and more. And children will have a blast doing it!

Fractions, equivalent fractions, comparing fractions, adding and subtracting fractions

12. Hot Cocoa Project!

  • Hot cocoa stall
  • Marshmallows
  • Whipped cream (optional)
  • Chocolate shavings (optional)
  • Recipe book
  • Play money or real money

An excellent activity for young entrepreneurs (under adult supervision), this hot cocoa project simulates a hot cocoa stand. Students can make and sell hot cocoa to their classmates, using real or play money.

They can follow a recipe to make the hot cocoa mix, and then use it to make individual cups of hot cocoa. They can also add marshmallows, whipped cream, and chocolate shavings to their hot cocoa, and charge extra for these toppings.

This activity is a great way to teach children about money, measurement, and fractions. And they’ll love getting creative with the hot cocoa mix!

Money, measurement, fractions, addition, subtraction

Children working on math project in class

13. Performance Math Art

  • Props or costumes (optional)
  • A video recording device (such as a smartphone)

Divide students into groups of 2 to 4 and ask them to prepare a performance art (dramatic poetry, song, or a skit) to explain the Order of Operations (or any other mathematical concepts, such as area and perimeter, exponents and roots, or geometry).

After they have practiced, film their final performance. Students can watch the videos to revise the concept later.

Students may also review each other’s performance in terms of delivery, clarity, and creativity to give constructive feedback.

Order of operations, area and perimeter, exponents and roots, geometry

14. Probably Probability

  • DIY probability tables

An inspirational idea for kinesthetic learners, this activity gets students up and about as they experiment with probability.

Provide each student with a die (or multiple dice) and a coin. Ask them to roll the die (or dice), flip the coin, and record their results in a table. They can create their probability tables.

Once they have collected enough data, they can look for patterns and predict the probability of certain events.

Probability, independent and dependent events, expected values

15. The Theme Park Project

  • Theme Park templates (for guidance)
  • Construction paper
  • Glue or tape
  • Markers or crayons
  • Small toys (optional)

This project is perfect for a math class that is learning about geometry and measurement. Students will use their knowledge of shapes, angles, and measurements to create a mini theme park.

They can start by choosing a template (or creating their own) and then cutting out the shapes from construction paper. Once they have all the pieces, they can assemble their theme park and add details with markers or crayons.

They can also add small toys to their theme park if they wish. Finally, they can measure the area and perimeter of their creation.

Children can dream up new rides, give them outlandish names, create menus for concession stands, and research healthy and junk foods!

A lot of math happens in everyday life if we just look for it.

Geometry, measurement, area, perimeter

By working on these fun projects, students can learn and practice various math skills, from basic counting and graphing to more advanced concepts such as fractions and decimals. These math projects for students can be used to supplement your regular math curriculum or as a standalone activity. Either way, your students are sure to enjoy them!

How can I make sure my students are engaged in the project?

Make sure to give your students a chance to be creative and have fun with the projects. For example, with the “Theme Park Project,” encourage them to develop their own designs and be as creative as possible with the details. With the “Probably Probability” project, let them experiment with different ways of collecting data and see what patterns they can find.

Do I need to prepare anything in advance?

It largely depends on the project you choose. For some projects, you may want to prepare templates in advance. For others, such as the “Probably Probability” project, you only need dice and coins.

How long should the projects take?

Again, it depends on the project. Some math projects for students require several days to complete. Others can be done in one class period or a few minutes.

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8 Unique 3rd Grade Math Projects Your Students Will Love

  • Math , Project Based Learning

If you want to incorporate a project based learning component to one of your 3rd grade math units this year, but you’re having trouble deciding on a project, you’ve come to the right place! All eight of these math projects are designed with third graders (and their busy teachers) in mind.

Each of the resources listed below makes prepping for project based learning a breeze and makes implementation seamless. These projects are presented in guides that feature detailed visual instructions on each page, making it possible for students to complete their unique projects with maximum independence. 

Core Inspiration 3rd Grade Math Project based learning guide for Quadrilateral City with detailed visual instructions showing a student example.

You know what that means…you’ll have the time you need to teach or reteach essential math skills to small groups or provide scaffolding to students who need it most while your students are engaged in meaningful work that helps them dig deeper and apply the skills they’re learning in math!

Click the project that aligns with your next unit and get started with easy and engaging project based learning in your classroom!

3rd Grade Math Project #1: Quadrilateral City

During this project based learning unit, your students will be invited to create a new layout for Quadrilateral City’s town square. Quadrilateral City is a place where everything from buildings and roads to houses and parks is built using only quadrilaterals.

The citizens recently passed a bond to fund the renovation of their town square and your students can work to be hired as the lead architect for the redesign project! The most important detail: students must include at least one of each quadrilateral type in the design for the center of their town.

This 3rd grade math project requires the application of each student’s knowledge of the properties of quadrilaterals and goes beyond simple recall and recognition of quadrilaterals.

Throughout the process of the Quadrilateral City simulation , students will have the opportunity to apply their knowledge through creative design as they plan their town square, descriptive writing that incorporates their math knowledge, and communication skills as they present their design at the town hall meeting. 

Core Inspiration's 3rd grade math project, Quadrilateral City. This geometry project overview shows a town square map, town square guidebook page and the project rubric.

The main focus of this cross-curricular project is on third-grade geometry standards. Throughout the project, students will practice recognizing and drawing quadrilaterals according to their specified attributes, such as a given number of angles or a given number of sides.

In addition to these important math skills, students will also practice their descriptive writing as they feature each quadrilateral-shaped building or space in their Guide to Town Square.

Students will use their persuasive writing skills to convince the townspeople of Quadrilateral City to select their design and use their public speaking skills to present their design at the optional town hall meeting that culminates this 3rd grade math project. 

3rd Grade Math Project #2: Place Value In The Wild

During this project based learning (PBL) unit, your students will work toward becoming an expedition scout for Wildlife Explorers International. As part of their job application process, they must create an expedition field guide filled with information about animals from the habitat of their choice.

This 3rd-grade math project requires the application of students’ knowledge of place value. Throughout the process of the Place Value In The Wild simulation , students apply their knowledge through creative design, engage in informational research that incorporates their math knowledge, and build organization skills as they plan and execute this multi-day project.

Core Inspiration's Place Value in the Wild 3rd grade math project overview showing an animal profile page filled with information about the size of the animal in different number forms and research facts about the animal.

The focus of this math simulation is on second and third-grade place value standards. Throughout the project, students will:

  • Understand that the digits of a number represent amounts like hundreds, tens, and ones.
  • Read and write numbers using base-ten numerals, number names, and expanded forms.
  • Compare two numbers based on the meanings of the hundreds, tens, and ones digits.
  • Use place value understanding to round whole numbers to any place.

In addition to these important math skills, students will also practice their expository writing & research skills as they report on amazing facts about the eight animals they choose to feature in their Place Value in the Wild Field Guide . 

Students will then use their public speaking skills to present their final research either in-person or through a video recording that culminates this project. 

3rd Grade Math Project #3: Winter Wonderland Array Architects

During this winter-themed math project , your third-grade students will work toward becoming an Array Architect for Snowflake Valley. The snow people in the valley are getting ready to host their annual Winter Wonderland Festival. 

This year, they want to redesign the layout of the festival so all the decorations and attractions are arranged in arrays and equal groups. 

As part of their job application process, students must create a Winter Wonderland Festival map that includes a variety of arrays and equal groups, along with a festival directory that features all the equations and problem-solving that corresponds with their unique design. 

This 3rd grade math project requires the application of students’ knowledge of equal groups, arrays, multiplication, and division fact families, and properties of multiplication. Throughout the process of the Winter Wonderland Array Architects simulation , students will apply their knowledge through creative design, engage in rigorous problem solving incorporating their math knowledge, and build organization skills as they plan and execute this multi-day project.

Core Inspiration's 3rd grade math project Winter Wonderland Array Architects showing a student sample with arrays, fact families, and problem solving.

The focus of this math simulation is on third-grade multiplication & division standards. Throughout the project, students will:

  • Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division.
  • Apply properties of operations as strategies to multiply and divide, including Commutative, Distributive, and Associative properties.
  • Determine the unknown whole number in a multiplication or division equation relating three whole numbers. 
  • Use multiplication and division within 100 to solve word problems.
  • Interpret products & quotients of whole numbers. 

3rd Grade Math Project #4: The Time of Your Life

During this math project, your students will compete in a contest to be the next star of a new hit show, The Time Of Your Life. Each contestant must brainstorm activities they would love to do if they could have the birthday of their dreams. 

Students will take their ten favorite brainstormed activities and create a day-long birthday schedule with no time gaps. They will elaborate on this schedule by creating a narrative storyboard that tells the story of the birthday of their dreams using a narrative introduction, transitions, show-not-tell descriptive details, and a narrative conclusion. The lucky winner will get to star in their very own episode of The Time Of Your Life and take part in every activity planned on his/her birthday schedule!

This 3rd grade math project requires the application of students’ knowledge of telling time and elapsed time. Throughout the process of the Time of Your Life simulation , students will have the opportunity to apply their knowledge through creative design and practice narrative writing that incorporates their math knowledge.

Core Inspiration's Time of Your Life telling time 3rd grade math project page showing a narrative description of an activity, the time the activity starts and ends shown on analog clocks, and the duration of the activity.

The focus of this math project is on second or third-grade telling time standards. Throughout the project, students will:

  • Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m. (for second graders).
  • Tell and write time to the nearest minute and measure time intervals in minutes (for third graders).

In addition to these important math skills, students will also practice their narrative writing as they tell the story of their special birthday plans in narrative format. This is the perfect opportunity for students to practice using narrative transitions that show the passing of time. 

3rd Grade Math Project #5: Measure-Thon

During the Measure-Thon math simulation, your students (better known as Mathletes) will compete in four measuring events. They will test their physical strength as they blow, kick, flick, and toss a small puffball through the air. Then they will flex their mental power as they measure the distance their puff ball travels using centimeters, inches, and feet. 

Their measurements are used to solve word problems that require them to compare length measurements, calculate the difference between length measurements, calculate the total distance their puff traveled during the entire competition, and make estimations about how far their puff would travel if the rules for the competition were revised in a specific way.

This 3rd grade math project requires the application of students’ knowledge of length measurement using rulers. Throughout the process of the Measure-Thon simulation, students will have the opportunity to apply their knowledge through an interactive math event.

The focus of this math simulation is on second and third-grade measurement standards. Throughout the project, students will:

  • Generate measurement data by measuring lengths of several objects to the nearest whole unit, or by making repeated measurements of the same object. 
  • Use addition and subtraction within 100 to solve word problems involving lengths that are given in the same units.
  • Measure using inches and centimeters to determine how much farther one object traveled than another, expressing the length difference in terms of inches and centimeters.
  • Estimate lengths using units of inches and centimeters. 
  • Use a bar graph (with a single-unit scale) to represent a data set.

3rd Grade Math Project #6: Camp Array Architect

During this math project, your third-grade students will work toward becoming an Array Architect for Camp Array. This campground has been closed since 1975, but the owners are ready to reopen the gates to their beautiful mountain campground. 

Before they open, the owners want to redesign the campground so it has a fresh look and feel, and they’re looking for a special architect to get the job done. The most important detail: they want everything on the campground to be arranged in arrays and in equal groups!

As part of their job application process, students must create a campground map that includes a variety of arrays and equal groups, along with a campground directory that features all the equations and problem solving that corresponds with their unique design. 

This 3rd grade math project requires the application of students’ knowledge of equal groups, arrays, multiplication, and division fact families, and properties of multiplication. Throughout the process of the Camp Array simulation , students will apply their knowledge through creative design, engage in rigorous problem-solving incorporating their math knowledge, and build organization skills as they plan and execute this multi-day project.

Core Inspiration's Camp Array Architect multiplication 3rd grade math project showing a repeated addition sentence, multiplication sentence, fact family, and how to solve a word problem.

The focus of this math simulation is on third grade multiplication & division standards . Throughout the project, students will:

3rd Grade Math Project #7: Val’s Heart Factory

This simulation introduces your students to four methods for displaying data: frequency tables, bar graphs, pictographs, and line plots. Students will record observations about each method for displaying data and compare/contrast methods for collecting data.

They will use this knowledge to solve a problem for Val’s Heart Factory. The factory is having some trouble with its production line…the number of hearts being added to each of their boxes/bags of hearts is unequal. Your students will work through a series of increasingly challenging data-focused steps to help the factory solve their problem.

Core Inspiration's Heart Factory data & graphing 3rd grade math project showing student observations about bar graphs and a word problem related to data shown on a bar graph.

The focus of this 3rd grade math project is on data and graphing standards. During the project, students will draw a scaled picture graph, a scaled bar graph, and a pictograph, and create a frequency table to represent a data set with several categories. 

Students solve one-step and two-step “how many more” and “how many less” data problems using information presented in the graphs they create. In addition, students will solve put-together, take-apart, and compare problems using information presented in their graphs. 

3rd Grade Math Project #8: Fraction Flower Festival

During this project based learning unit, your students will “grow” a flower using fractions as their guide. Their flower is entered in a contest and judges provide them with feedback on their gardening skills using a scoring rubric. 

Throughout this 3rd grade math project , students will use two important skills: 

  • The creativity of a caring gardener as they “grow” their flower during the fraction art project portion of the simulation. 
  • The accuracy of a careful gardener as they model fractions on a number line and make calculations while solving fraction word problems during the math-focused portion of the simulation. 

Core Inspiration's Fraction Flower Festival 3rd grade math project overview shot showing fractions on a number line and a word problem related to the fractions displayed.

The main focus of this math simulation is on third grade fraction standards. Throughout the project, students will:

  • Understand a fraction is a quantity formed by 1 part when a whole is partitioned into equal parts.
  • Represent a fraction on a number line diagram and understand a fraction as a number on the number line.
  • Recognize and generate simple equivalent fractions and create equivalent fraction models on a number line.
  • Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. 
  • Compare two fractions with the same numerator or the same denominator by reasoning about their size. 

Which 3rd Grade Math Project Will You Bring To Your Classroom?

Your third graders are going to love the opportunity to apply their learning in creative ways using these math projects. I’d love to hear from you if you plan on using any of the projects described above. If you’re looking for a specific project you don’t see listed here, let me know in the comments below.

  • Read more about: Math , Project Based Learning

You might also like...

Core Inspiration's Data & Graphing Math Project featuring a a student work sample, project instructions and unique visuals that make the project fun. Projects like these make math test prep interesting for students and simple for teachers.

Fun Math Test Prep Ideas for 3rd Grade Teachers

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4 Unique 2nd Grade Math Projects Your Students Will Love

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2 Responses

I am in need a combined 3rd and 4th grade 9 day Math Camp basically. These are fun. but may be elementary for 4th graders…

Hi April, I do think a few of these would be a bit elementary for 4th graders as they are mostly aligned with 3rd grade math standards.

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25 math’s working model for class 10 students(TLMs)

Here are 25 math’s working project for class 10 students

1) Pythagorean Theorem Working Model

The Pythagorean Theorem is a mathematical rule that helps us find the length of one side of a right-angled triangle when we know the lengths of the other two sides.

A working model to demonstrate the Pythagorean Theorem could be a physical representation of a right-angled triangle along with squares on each side. Here’s how you can explain it in layman terms:

  • The Right-Angled Triangle: Imagine a triangle with one corner forming a perfect right angle, like the corner of a piece of paper. This is a right-angled triangle.
  • The Short Side (A): One side of the triangle is shorter, and we’ll call it ‘A’. It’s like the width of a rectangular plot of land.
  • The Other Short Side (B): Another side is also short, and we’ll call it ‘B’. It’s like the length of the same rectangular plot of land.
  • The Long Side (C): The third side, opposite the right angle, is longer and we’ll call it ‘C’. It’s like the diagonal of the rectangular plot.
  • The Squares: Now, we’re going to make squares on each of these sides. For side ‘A’, make a square with ‘A’ on each side. Do the same for side ‘B’ and side ‘C’.
  • The Interesting Discovery: Here’s the magic part! When you compare the area of the square on side ‘A’ plus the area of the square on side ‘B’, it’s exactly the same as the area of the square on side ‘C’!
  • The Rule: This magical equality is the Pythagorean Theorem. It says that in any right-angled triangle, the square of the length of the hypotenuse (the longest side, ‘C’) is equal to the sum of the squares of the other two sides (‘A’ and ‘B’).

So, in simple words, the Pythagorean Theorem is like a secret trick that helps us figure out the lengths of sides in a right-angled triangle. It’s as if the squares on the shorter sides add up perfectly to the square on the longer side! That’s why it’s so useful in geometry and real-life situations where triangles are involved.

2) Trigonometric Ratios Working Model

Trigonometric ratios are a way of understanding the relationships between the sides of a right-angled triangle.

Let’s explain this using a simple working model:

  • The Right-Angled Triangle: Imagine a triangle with one corner forming a perfect right angle, just like the corner of a piece of paper.
  • The Short Side (Adjacent): One side of the triangle is shorter, and we’ll call it the “adjacent” side. It’s like the width of a rectangular plot of land.
  • The Tall Side (Opposite): The side opposite to the right angle is taller, and we’ll call it the “opposite” side. It’s like the length of the same rectangular plot of land.
  • The Hypotenuse (Diagonal): The longest side, opposite the right angle, is called the “hypotenuse.” It’s like the diagonal of the rectangular plot.
  • Sine (sinθ): This is like a magic number that tells us the ratio of the “opposite” side to the “hypotenuse.” It’s like finding out what part of the rectangular plot’s length is taken up by its diagonal.
  • Cosine (cosθ): This is another magic number that tells us the ratio of the “adjacent” side to the “hypotenuse.” It’s like finding out what part of the rectangular plot’s width is taken up by its diagonal.
  • Tangent (tanθ): This one tells us the ratio of the “opposite” side to the “adjacent” side. It’s like finding out how much taller the plot is compared to how wide it is.
  • Practical Example: Imagine you’re looking at a flagpole. If you know how far you are from the flagpole and the angle your line of sight makes with the ground, you can use these trigonometric ratios to figure out how tall the flagpole is.

So, in simple words, trigonometric ratios are like special tools that help us understand the relationships between the sides of a right-angled triangle. They’re really handy for things like measuring heights, distances, and angles in real-life situations!

3. Probability Working Model

Probability is a branch of mathematics that deals with the likelihood or chance of events occurring.

It provides a way to quantify uncertainty and make predictions based on available information.

Probability is used extensively in various fields such as statistics, economics, physics, and more.

4) Exponents and Powers Working Model

Exponents and powers are fundamental concepts in mathematics that involve raising a number to a certain power or exponent.

They play a crucial role in representing repeated multiplication and are widely used in various fields, including algebra, calculus, and science.

5) Mensuration Working Model

Mensuration is a branch of mathematics that deals with the measurement of geometric figures and their related parameters, such as length, area, volume, and surface area.

It is an essential part of geometry and has widespread applications in various fields, including engineering, architecture, physics, and more.

6) Coordinate Geometry Working Model

Coordinate geometry, also known as analytical geometry, is a branch of mathematics that combines elements of algebra and geometry.

It involves using algebraic techniques to study geometric properties and solve geometric problems.

7) Algebraic Identities Working Model

Algebraic identities are essential mathematical rules that express the relationship between different algebraic expressions.

They provide a framework for simplifying and manipulating equations in algebra.

These identities serve as shortcuts or patterns that help us perform calculations more efficiently. They play a crucial role in solving equations, factoring expressions, and making complex algebraic operations more manageable.

8) Circles Working Models

A circle is a fundamental geometric shape that has played a significant role in mathematics, engineering, and various fields of science.

It is defined as the set of all points in a plane that are equidistant (at the same distance) from a fixed point called the center.

9) Real Numbers Working Model

Real numbers are a fundamental concept in mathematics that encompasses a vast set of numbers used to represent quantities in various contexts.

They include both rational numbers (fractions) and irrational numbers (non-repeating, non-terminating decimals).

10)Linear Equations Working Models

Linear equations are fundamental mathematical expressions that describe a straight-line relationship between two variables. They play a crucial role in various fields such as physics, engineering, economics, and more.

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  • Mathematics /

Maths Project Class 12

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  • Updated on  
  • Jan 14, 2021

Maths Project Class 12

In this cut-throat competitive world, one needs to have command over the skills they have and that is impossible with just bookish knowledge. One such example of a blend of theoretical knowledge with practical thinking is CBSE curriculum regarding the projects work in class 12th. In mathematics, it becomes important to score well and preparing an attractive project will help you have a better command over the subject. Read this blog further to understand more about the maths project of class 12.

This Blog Includes:

Maths project class 12: weightage, maths project class 12: sample format, the random fibonacci sequence, pascal triangle, platonic solids, 3d snowflakes, working maths project class 12, other topics provided by cbse.

Also Read: Accounts Project Class 12

The total marks allocated for maths project are 20 and the rest of 80 marks are evaluated by conducting practical examination.

The distribution for 20 marks is as follows-

Explore: Chemistry Project for Class 12 CBSE

You need to follow certain standards while preparing your project. Here is a sample format for the project-

Must Read: Physics Project for Class 12

Project Topics

CBSE has a list of predetermined topics and allots them to the students according to their roll number . Students might also be given the option to choose the topic themselves depending upon the school.

Objective- Exploring Fibonacci numbers

Fibonacci numbers are a sequence of numbers i.e. 1,1,2,3,5,8,13,21,24….. The first number is 1, the second number is 1 and the next term is equal to the sum of previous two numbers of the sequence itself. 

In this project you will have to write the next 20 terms of the sequence generated by it. 

You are required to explain the history of the mathematician who gave it.

After that, you have to explore in nature the things that correspond to Fibonacci numbers with pictures and examples. For example- counting the number of petals of a flower, it is most probable that they will correspond to one of the Fibonacci numbers.

  • Define the Pascal Triangle 
  • Explain the history of the Pascal Triangle
  • How to construct it
  • The sum of numbers in any row is 2 when n is the number of rows.
  • Property related to prime number
  • Hockey stick pattern
  • Fibonacci sequence located through pascal triangle
  • Make a model on Pascal Triangle

Objective- Making platonic solids

  • Introduction
  • You are required to mention about 5 platonic solids along with their properties.
  • Explain about the history of platonic solids
  • Explain the procedure for making platonic solids
  • The final step in this project topic would be to verify euler’s formula for each solid.

Objective- Making 3D snowflakes

You are required to make a model with its project report having contents- 

  • What is 3D snowflake
  • Application in daily life
  • Use of mathematics in it.
  • Explain the procedure of the model in detail

Also Read: Economics Project for Class 12

  • Marion Walter’s Theorem
  • Probability
  • Exploring Rule Variations in Conway’s Game of Life
  • Determining the Fraction of Lattice Points Visible from the Origin in the Third Dimension
  • Displacement and Rotation of a Geometrical Figure

Must Read: Business Studies Class 12 Project

We hope that this blog was able to help you clarify your doubts regarding the maths project class 12. Connect with us at Leverage Edu and we will help you choose the right course and provide assistance in getting admission in your dream university. 

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Mathematics > Dynamical Systems

Title: global stability and optimal control in a single-strain dengue model with fractional-order transmission and recovery process.

Abstract: In this manuscript, we develop a novel single-strain dengue model with fractional-order transmission and recovery from a stochastic process. A fractional derivative that appeared in the disease transmission and recovery processes is known as a tempered fractional (TF) derivative. We showed that if a function satisfying certain conditions, then the TF derivative of that function is proportional to the function itself. By utilizing this result, we investigated the local and global stability of various equilibrium solutions (disease-free and endemic) related to the novel fractional-order dengue model in terms of the basic reproduction number R0. Additionally, we developed an optimal control problem for the extended fractional-order dengue system with control to study the effect of three different interventions: reduction of mosquito recruitment rate, adult vector control, and individual protection. Furthermore, we derived a sufficient condition for the existence of a solution to the optimal control problem. Finally, numerical experiments suggest that policymakers may focus on fractional-order parameters that represent the mechanisms of disease transmission and recovery in addition to the two vector controls to reduce dengue spreading in a location.

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  1. Maths Projects

    Maths Projects - List of Math Project Models and Examples | Mathematics Maths Project Maths Maths Project Last updated date: 06th Feb 2024 • Total views: 528.3k • Views today: 14.28k Download PDF NCERT Solutions CBSE CBSE Study Material Textbook Solutions CBSE Notes Learn Maths project with Vedantu

  2. 60+ Creative and Engaging Math Project Ideas for Students in 2023

    60+ Creative and Engaging Math Project Ideas for Students in 2023 By Calltutors Team Getting exhausted while searching for the best math project ideas for students? If yes, then have a close look at this blog post to explore some of the creative and engaging math projects for students.

  3. 100+ Math Project Ideas for Every Enthusiast

    Geometry Projects Create a geometric art piece using basic shapes. Explore the concept of fractals and design your own fractal patterns. Construct a model of a famous architectural landmark. Investigate the properties of various polygons. Design a themed garden using geometric patterns.

  4. Maths Project ideas for Class 4 to 12 with working models, Examples

    Reading Writing Taking tests and Repeat This no longer is fundamental to teaching the students in the 21st century. This is why CBSE board has welcomed the project-based 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.

  5. Math Projects : 20 Simple and Interesting Ideas

    These maths projects help in developing very important mathematical skills like:-. Correlating the concepts taught in the classes with the practical applications of those concepts. Proving a hand on experience to the children. Fostering teamwork, coordination, and communication along with creativity and knowledge.

  6. 10 Math Project Ideas for Grades 1-8

    This project involves a research phase, experimentation, data collection, analysis, and a presentation. This project is great for the end of the school year when the weather is nice and students can test their paper airplane performance outdoors. Click here to learn more about the Ultimate Paper Airplane Competition Project

  7. Maths Projects

    Pythagorean theorem model is a cool math projects. You can make this school projects and learn about Pythagorean theorem.This Math project helps you to How t...

  8. Maths Working Model on Multiplication

    welcome to RV TUTORIALS In this video i am going to explain how to make a maths working model on multiplication. Background music: YouTube Audio Lib...

  9. Make a Math Model Science Projects

    Build an abstract math model that helps you predict or make decisions about a real-world question. Learn why math equations matter by using a logistic model to predict when endangered animals need help or apply geometry to find the best places to bank a basket in basketball. Featured Take the Science Buddies Engineering Challenge!

  10. 99+ Stunning Maths Project Ideas For College Students (2023)

    1. Problem-Solving Skills Learning mathematics helps students develop excellent problem-solving skills. When you solve math problems, you learn to think logically and find solutions, which is useful in daily life and future careers. See also What is Term In Math? And How Does it Works? 2. Critical Thinking Math teaches critical thinking.

  11. 12 Math Project Ideas for Middle and High School Students

    12 Math Research and Passion Project Ideas. 1. The mathematical properties of elections. In recent years, there has been a lot of discussion about which election mechanism is most effective at achieving various goals. Proposed mechanisms in United States elections include majority elections, the electoral college, approval voting, and ranked ...

  12. 17 Innovative Mathematics Projects that Inspire Students

    17 Innovative Mathematics Projects that Inspire Students Ali · Follow Published in However, Mathematics · 15 min read · Nov 3, 2019 10 Photo by Omar Flores on Unsplash The famous...

  13. Maths Project Ideas for Classes 4 to 12

    A Maths project model on trigonometry can help students practice more such cases. The application of trigonometric ratios can help in finding the required parameters. Mean values of given data: In our daily life, we often need to calculate the average of a set of numbers. For example, the average time to finish a specific task.

  14. Maths Projects

    Project 1 The goal of this project is to develop a web application that will allow users to create and manage their own online store. The application will need to include features for managing inventory, adding and managing products, setting up payment methods, and shipping options.

  15. 50+ Creative Math Project Ideas for Students of All Ages

    1. Daily Life Concepts Mathematics is a fundamental subject that plays a crucial role in our daily lives. It is the study of numbers, quantity, and space, and it provides a universal language that helps us describe and understand the world around us. 2. Problem Solving One of the most important roles of mathematics is in problem-solving.

  16. Maths Model

    Maths model is an intellectual model that uses mathematical expression to explain the function of a system. In schools, students are assigned Maths projects to make them think and learn. They can use their intellectual abilities to create models. These models will help to learn the concepts in a creative way.

  17. 15 Best & Easy Math Projects for Students

    Description: Write the numbers 1 to 9 in one row and 0 in the next row to make a baseball diamond. Help your students write math facts such as doubles (2 + 2, 3 + 3, etc.), near doubles (9 + 8), addition/subtraction of 10 (8 + 2, 5 + 5), and related subtraction facts (7 - 3, 9 - 6) on the number cards.

  18. DIY Maths Squares Machine

    78K 5.9M views 3 years ago #mathsmodel #mathsworkingmodel #mathsproject How to make maths square machine from cardboard | Maths Project for exhibition | Maths Model | Maths Game for students...

  19. 8 Unique 3rd Grade Math Projects Your Students Will Love

    Math, Project Based Learning If you want to incorporate a project based learning component to one of your 3rd grade math units this year, but you're having trouble deciding on a project, you've come to the right place! All eight of these math projects are designed with third graders (and their busy teachers) in mind.

  20. Math Project Ideas: Projects for all classes from 6-10

    Math Topics for Project for Class 6. Some of the Maths project ideas for Class 6 are as under: Make different polygons using matchsticks and name them. Fraction tree. Finding the perimeter of closed figures. Pictograph of the number of students absent during the month. Making a list of letters, numbers, and shapes that are symmetrical.

  21. 25 math's working model for class 10 students(TLMs)

    Here are 25 math's working project for class 10 students. Pythagoras theorem math's working model 1) Pythagorean Theorem Working Model The Pythagorean Theorem is a mathematical rule that helps us find the length of one side of a right-angled triangle when we know the lengths of the other two sides.

  22. Maths Project Class 12: Sample Format

    Maths Project Class 12: Sample Format. You need to follow certain standards while preparing your project. Here is a sample format for the project-. Cover Page- Name, Class, Roll No, Title of project. Table of Contents- Page Titles. Description- Explain a brief description of the project. Procedure- Explain the procedure for the topic that you ...

  23. Global stability and optimal control in a single-strain dengue model

    In this manuscript, we develop a novel single-strain dengue model with fractional-order transmission and recovery from a stochastic process. A fractional derivative that appeared in the disease transmission and recovery processes is known as a tempered fractional (TF) derivative. We showed that if a function satisfying certain conditions, then the TF derivative of that function is proportional ...

  24. Maths Projects

    Maths Projects | Pythagorean Theorem Model | School project | DIYHow to DIY Home Made HowTo Homemade.PLEASE SUBSCRIBE FOR AWESOME VIDEOS ️ https://goo.gl...