🔢 Number System & Algebra Basics
This section builds a strong foundation in algebra and number systems for Class 10 students. It is specially designed to support hearing-impaired learners through visual clarity and structured topics. Students will understand types of numbers, factorization, laws of exponents, and algebraic identities. These topics make higher-level math easier and promote conceptual clarity.
- Types of Numbers (Natural, Whole, Integers, Rational, Irrational, Real)
- Prime Numbers & Factorization
- LCM and HCF using Prime Factorization
- Laws of Exponents for Real Numbers
- Surds and Rationalization
- Polynomials: Terms, Degree, Coefficients
- Algebraic Identities ((a ± b)², a² – b², etc.)
- Factorization of Polynomials
- Division Algorithm for Polynomials
➕➖✖️➗ Equations & Expressions
This section focuses on algebraic equations and expressions — linear equations in one and two variables, graphs, and word-based problems. Designed with clarity and simplicity, it’s ideal for hearing-impaired learners to grasp the logic behind algebraic reasoning and equation-solving methods.
- Solving Linear Equations in One Variable
- Concept of Variables and Constants
- Linear Equations in Two Variables – Basics
- Graph of Linear Equations – Basics
- Pair of Linear Equations – Graphical Method
📐 Geometry Basics
Geometry is a visual subject, and this section uses diagrams and structured learning for students with hearing impairment. Topics include angles, triangles, congruence, circles, and theorems that are key to understanding spatial relationships and real-world math applications.
- Basic Geometrical Terms (Point, Line, Plane)
- Types of Angles
- Angle Sum Property of a Triangle
- Types of Triangles and Their Properties
- Congruence of Triangles – Basics
- Similarity of Figures – Concept
- Basic Proportionality Theorem (BPT)
- Pythagoras Theorem – Concept and Use
- Circles – Radius, Chord, Arc, Diameter
- Tangent to a Circle – Concept
📊 Mensuration & Trigonometry Foundations
Learn how to calculate areas, perimeters, and volumes of 2D and 3D shapes. Introduction to trigonometry helps students understand sine, cosine, and tangent ratios. All topics are simplified with visuals and real-life examples for better learning outcomes in students with hearing disabilities.
- Units of Measurement – Area and Volume
- Perimeter and Area of Plane Figures
- Surface Area & Volume – Cuboid, Cube, Cylinder
- Introduction to Trigonometry – Ratios
- Understanding 0°, 30°, 45°, 60°, 90° Trig Ratios
- Trigonometric Identities – Basics
📈 Statistics & Probability
Basic statistics and probability help students develop critical thinking and data interpretation. Key terms such as mean, median, mode, and basic probability events (coin, dice, cards) are taught using simple examples and illustrations for special needs learners.
- Mean, Median, Mode – Concept
- Types of Data – Grouped & Ungrouped
- Probability – Basic Concept (Coin, Dice, Cards)
🔍 Visual & Logical Reasoning Support
This unique section supports visual and logical reasoning using coordinate geometry, graph plotting, algebraic patterns, and word problems. It builds analytical skills in hearing-impaired students by encouraging them to observe and analyze problems visually.