Explore a comprehensive collection of DIY working models for various mathematical concepts such as the Pythagoras Theorem, Trigonometric Ratios, Circle Theorems, Probability, and more. These hands-on models are designed for students in grades 6-12, making complex math topics easier to understand through interactive learning. Whether you're studying Algebra, Geometry, Calculus, or Statistics, these innovative STEM kits provide a practical way to visualize and grasp key concepts, from linear graphs and quadratic equations to probability and matrices. Perfect for enhancing learning, classroom activities, or home projects.
1. Algebra & Linear Equations
- Basic Proportionality Theorem
A hands-on model demonstrating the theorem of proportionality between line segments cut by a transversal, ideal for understanding the concept of similar triangles. - Ratio and Proportion
This model helps students visualize and understand the concept of ratios and proportional relationships between quantities in mathematical problems. - Factorization
A model to demonstrate the process of breaking down algebraic expressions into their factorized form, helping students better understand algebraic identities. - Quadratic Equation
A working model that explains the solution methods of quadratic equations, including factoring, completing the square, and the quadratic formula. - Algebraic Expressions
This model illustrates how to simplify and evaluate algebraic expressions, helping students recognize the relationship between variables and constants. - Polynomials
A practical representation of polynomial expressions, focusing on operations like addition, subtraction, multiplication, and division of polynomials. - Working Model on Algebraic Identity
An interactive kit that demonstrates various algebraic identities such as the difference of squares and the expansion of binomials. - Transformation of Graph
A visual and hands-on approach to understanding the transformations of linear and non-linear graphs, such as translations, reflections, and rotations.
2. Geometry & Trigonometry
- Linear Graph
This model helps students plot and interpret linear equations on a graph, showing the relationship between variables and helping with concepts of slope and intercept. - Congruency Between Triangles
A model that demonstrates the conditions for triangle congruency (SSS, SAS, ASA, and AAS) through hands-on activities and visual proofs. - Perpendicular and Angle Bisectors
A working model showing how perpendicular bisectors and angle bisectors divide angles and line segments, helping students explore geometric properties. - Circle Theorems
This model explains various theorems related to circles, such as the angle at the center, cyclic quadrilaterals, and tangents, enhancing understanding of circular geometry. - Properties of Circle Working Model
A model that explains the properties of circles, such as the relationship between radius, diameter, circumference, and angles formed within a circle. - Innovative Method of Learning the Concept of Circle and its Theorem
A creative and interactive approach for teaching theorems related to circles, such as the relationship between chords, tangents, and arcs. - Types of Triangle Math's Working Model
This model helps students explore the properties and classifications of triangles based on side lengths and angles (equilateral, isosceles, and scalene). - Angle in a Segment of a Circle
A practical model illustrating how angles in segments of a circle are formed and calculated, focusing on subtended angles and related concepts. - Exterior Angle Property - Theorem Working Model
A model that demonstrates how the exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles. - Complementary Angles Working Model
An interactive model showing the relationship between complementary angles (those that sum up to 90 degrees), aiding in understanding angle properties. - Corresponding Angle Working Model (Traversal)
This model shows how corresponding angles are formed when a transversal crosses parallel lines, helping students grasp geometric properties of parallelism. - Parallel Lines and a Transversal Math
A hands-on kit that demonstrates the angles formed when a transversal intersects parallel lines, such as alternate interior, corresponding, and exterior angles. - Proof of Area of Circle
A working model that helps students understand and visualize the proof of the area of a circle (πr²) through geometry and mathematical reasoning. - Distance Formula
This model demonstrates how to calculate the distance between two points on a coordinate plane using the distance formula.
3. Probability & Statistics
- Basic Statistics
A model introducing fundamental statistical concepts such as mean, median, mode, range, and standard deviation, helping students understand data analysis. - Probability
A hands-on model explaining the fundamentals of probability theory, including events, outcomes, and the likelihood of occurrences in various scenarios. - Sum Should Be "26" Puzzle
A fun and interactive puzzle designed to help students practice solving problems related to probability and basic arithmetic through logical reasoning. - Sum Should Be 34 Puzzle
Another engaging puzzle that encourages students to apply probability and arithmetic skills to find solutions, fostering problem-solving abilities.
4. Advanced Mathematics
- Mathematical Induction and Binomial Theorem
A working model that demonstrates the principle of mathematical induction and the expansion of binomials using Pascal’s triangle. - Differentiation-I
This model provides a visual explanation of differentiation concepts, including derivatives of basic functions and how they relate to slopes and rates of change. - Differentiation
A deeper exploration into differentiation techniques, including product, quotient, and chain rules, and their practical applications in calculus. - Matrices and Determinants
A model for understanding matrices and their determinants, showing operations such as addition, multiplication, and finding the inverse of matrices. - Complex Numbers
A practical representation of complex numbers, showing their graphical interpretation in the complex plane and their use in solving equations.
5. Sequences & Series
- Arithmetic Sequences and Series
A model demonstrating the concepts of arithmetic sequences and series, including formulas for nth terms and sums of series. - Geometric Sequences and Series
This kit helps visualize geometric sequences and series, exploring the common ratio and the sum of infinite series.
6. Coordinate Geometry
- Cartesian Coordinate Math Working Model
A model that explains the Cartesian coordinate system, helping students plot points, lines, and curves on a grid, and understanding the geometry of the plane. - Plane Analytical Geometry
A hands-on kit that introduces concepts of analytical geometry, including the distance between points, the slope of a line, and the equation of a line.
7. Logical Puzzles & Fun Activities
- 32 Soldiers Game
A puzzle game involving the arrangement of soldiers on a grid, teaching logical thinking, pattern recognition, and spatial awareness. - Diagonal Move @ Math Game Puzzle
A puzzle where students explore the concept of diagonal moves in various math problems, developing problem-solving skills. - Venn Diagram Through Activity
An interactive model using Venn diagrams to help students understand set theory, relationships between sets, and logical operations like union and intersection.
8. Theorems & Proofs
- HCF and LCM
A working model that demonstrates the concepts of the Highest Common Factor (HCF) and Lowest Common Multiple (LCM), helping students with number theory and factorization. - Angle Sum Property
A model that visually demonstrates the angle sum property of polygons, focusing on triangles and quadrilaterals. - Proof of Area of Circle
Another approach to understanding the proof of the area of a circle, reinforcing geometric principles and their real-world applications.