Mathematics 8th Std

Standard 8 (School Syllabus Batch – Based on common topics from SSC, CBSE and ICSE boards)

  1. Number Systems

    1. Rational Numbers: Properties (closure, commutativity, associativity), representation on a number line, and finding rational numbers between two given numbers.

    2. Squares and Square Roots: Finding roots using factorization and long division.

    3. Cubes and Cube Roots: Understanding perfect cubes and their properties.

    4. Laws of Exponents: Extended to include rational exponents (powers like 2a/b).

    5. Introduction to Irrational Numbers

  2. Algebra

    1. Algebraic Expressions and Identities: Addition, subtraction, and multiplication. Key identities.

    2. Linear Equations in One Variable: Solving equations and applying them to word problems.

    3. Factorization: Common factors, regrouping, and using identities to factorize expressions.

  3. Commercial Mathematics (Arithmetic)

    1. Comparing Quantities: Ratios, percentages, profit and loss, and discount.

    2. Compound Interest: Calculating interest compounded annually or half-yearly.

    3. Direct and Inverse Proportions: Time-Distance-Speed and Time-Work.

  4. Geometry & Mensuration 

    1. Triangles: Congruence Tests and problems, Pythagoras Theorem and their applications.

    2. Understanding Quadrilaterals: Properties of parallelograms, rhombuses, rectangles, squares, and kites.

    3. Circles: Chords, Arcs, Their Properties.

    4. Practical Geometry: Construction of triangles and quadrilaterals using a ruler and compass.

    5. Mensuration: Area and perimeter of 2D shapes (trapeziums, polygons, circle) and Surface Area and Volume of 3D solids (cubes, cuboids, and cylinders).

  5. Data Handling

    1. Organizing Data: Frequency distribution tables.

    2. Graphical Representation: Bar graphs, Histograms, and Pie charts.

    3. Probability: Basic concepts of chance and outcomes.

  6. Sets

    1. Introduction: Basic Concepts.

    2. Basic Operations: Intersection, Union, Symmetric Difference.

    3. Venn Diagrams

    4. Cardinality Based Formulae

Terms
Training Program
HSTP
Mathematics Training Program
High School Mathematics
HSTP 2026-27