# 25 working models of math’s for class 10

Creating working models for math concepts can help students understand and visualize abstract ideas. Here are 25 math working models suitable for 10th-grade students:

### Algebra and Arithmetic

1. Algebraic Expression Simplifier
• Materials: Cardboard, colored paper, sliders
• Description: A model with sliders that combine like terms and simplify expressions.
• Materials: Cardboard, graph paper, strings
• Description: A model that visualizes the solutions of a quadratic equation using a parabola graph.
3. Polynomial Function Graph
• Materials: Cardboard, colored paper, strings
• Description: A visual representation of polynomial functions and their roots.
4. Arithmetic Sequence and Series
• Materials: Cardboard, colored paper, beads
• Description: A model demonstrating the terms of arithmetic sequences and their sums.
5. Geometric Sequence and Series
• Materials: Cardboard, colored paper, beads
• Description: A visual representation of geometric sequences and their sums.

### Geometry

1. Pythagorean Theorem Proof
• Materials: Cardboard, colored paper, right-angled triangles
• Description: A model showing different proofs of the Pythagorean theorem.
2. Circle Theorems
• Materials: Cardboard, compass, string
• Description: A model illustrating various circle theorems, including angles and tangents.
3. 3D Geometric Shapes
• Materials: Cardboard, colored paper, glue
• Description: Models of various 3D shapes like cubes, cones, and cylinders with labeled properties.
4. Surface Area and Volume of Solids
• Materials: Cardboard, colored paper, small containers
• Description: Models demonstrating the calculation of surface area and volume for different solids.
5. Similar Triangles
• Materials: Cardboard, colored paper, strings
• Description: A model showing properties of similar triangles and their proportional sides.

### Trigonometry

1. Unit Circle
• Materials: Cardboard, colored paper, compass
• Description: A model illustrating the unit circle, radians, and trigonometric functions.
2. Sine and Cosine Wave Generator
• Materials: Cardboard, strings, pins
• Description: A model showing how sine and cosine waves are generated.
3. Trigonometric Ratios
• Materials: Cardboard, colored paper, right-angled triangles
• Description: A visual representation of sine, cosine, and tangent ratios.
4. Trigonometric Identities
• Materials: Cardboard, colored paper, sliders
• Description: A model illustrating fundamental trigonometric identities.
5. Angle of Elevation and Depression
• Materials: Cardboard, protractor, strings
• Description: A model demonstrating real-life applications of angle of elevation and depression.

### Calculus (Basics)

1. Derivative Visualization
• Materials: Cardboard, graph paper, sliders
• Description: A model illustrating the concept of a derivative as the slope of a tangent.
2. Integral Representation
• Materials: Cardboard, graph paper, colored paper
• Description: A model showing the area under a curve to represent definite integrals.
3. Limits and Continuity
• Materials: Cardboard, graph paper, sliders
• Description: A model demonstrating the concept of limits and continuity of functions.

### Statistics and Probability

1. Probability Tree
• Materials: Cardboard, colored paper, markers
• Description: A visual representation of different outcomes and their probabilities.
2. Mean, Median, Mode
• Description: A model to calculate and display the mean, median, and mode of a dataset.
3. Histogram and Bar Graphs
• Materials: Cardboard, colored paper, markers
• Description: Models showing how data is represented in histograms and bar graphs.
4. Standard Deviation
• Materials: Cardboard, colored paper, beads
• Description: A model demonstrating the calculation of standard deviation in a dataset.

### Miscellaneous

1. Fibonacci Sequence
• Materials: Cardboard, colored paper, beads
• Description: A model illustrating the Fibonacci sequence and its golden ratio.
2. Mathematical Set Operations
• Materials: Cardboard, colored paper, Venn diagrams
• Description: A model showing various set operations like union, intersection, and difference.
3. Transformation of Shapes
• Materials: Cardboard, colored paper, sliders
• Description: A model demonstrating geometric transformations like translation, rotation, and reflection.

These models provide a hands-on learning experience, helping students better understand and engage with various mathematical concepts.