Grade 8 Foundation

Duration

1 Year

Session

250

Course Description

The Grade 8 Foundation Course is designed as an advanced academic bridge, preparing students for higher-order thinking and complex problem-solving. It builds upon prior knowledge while introducing key concepts in Mathematics, Physics, Chemistry, and Biology that are fundamental to academic success in secondary and senior secondary levels. The curriculum has been carefully structured to strengthen core concepts such as algebra, geometry, trigonometry, and data analysis in Mathematics, deepen understanding of atomic structure, chemical reactions, and molecular biology in Science, and refine the analytical and reasoning abilities crucial for logical thinking. Emphasizing clarity, application, and rigorous practice, this course is a comprehensive preparatory platform for students to develop both subject mastery and critical thinking skills.

Learning Objective

The course aims to solidify mathematical understanding through advanced topics including real numbers, polynomials, functions, coordinate geometry, and trigonometry. It encourages the development of scientific reasoning through structured exposure to chemical bonding, periodic trends, thermodynamics, and the basics of electricity and magnetism. In Biology, the focus is on understanding cellular structure, microbial diversity, plant and animal physiology, genetics, and biotechnology. Physics concepts such as motion, friction, heat transfer, sound waves, and optics are introduced with real-world applications to ignite curiosity and problem-solving abilities. Throughout the course, students will enhance their data interpretation skills, logical analysis, and scientific communication. The goal is to nurture independent learners equipped with a strong academic base and the ability to apply knowledge across disciplines.

What Will I Learn?

Students will master advanced numerical concepts including square roots, cube roots, indices, and real numbers, enabling them to solve complex problems involving rationalization and linear equations in one and two variables. They will dive deep into matrices, coordinate geometry, trigonometric identities, arithmetic progressions, and algebraic structures like polynomials and functions, further enriched with comparative quantity analysis, surface areas, and volumes. The course also covers logarithmic functions and their applications. In Chemistry, learners will explore the intricacies of chemical bonding, chemical equilibrium, electrolysis, and the versatile nature of carbon, along with a detailed study of periodic trends and mole concepts. They will become familiar with industrially important compounds and their properties. Biology modules guide students through the microscopic world of cells and microorganisms, the diversity of the animal kingdom, principles of locomotion, genetics, and the marvels of biotechnology and reproduction. In Physics, students will engage with the principles of measurements, dimensional analysis, vector operations, frictional forces, heat transfer methods, sound propagation, current electricity, and the behavior of light through reflection and refraction. By the end of the course, students will be equipped with a robust framework of knowledge, logical thinking, and scientific inquiry, ready to excel in advanced studies and competitive environments.

Additional Info

Practice

Regular exercises and interactive activities to reinforce key concepts in each subject.

Doubt-Solving

Dedicated sessions to address and clarify any questions or difficulties students encounter.

Reports

Detailed reports on experiments and projects to track progress and understanding.

Showing search results
Mathematics
Chemistry
Biology
Physics

Square and Cube Roots

Square of a Number
Properties of Square Numbers
Square Root, Prime Factorisation Method
Methods of Finding Square Roots – Long Division
Methods of Finding Square Roots – Repeated Subtraction, Estimation of Square Root
Cube of a Number, Some Interesting Patterns
Properties of Cubes of Natural Numbers
Cube Root, Prime Factorization Method
Methods of Finding Cube Roots
Cube Roots of Negative Numbers, Cube Roots of Rational Numbers

Indices

Laws of Indices - I
Laws of Indices - II
Problem Solving on Laws
Exponential Equations
Radical
Operations on Radical: Addition and Subtraction
Operations on Radical: Multiplication and Division
Exponents and Radicals

Real Numbers

Introduction to Number System
Representation of Rational Numbers on a Number Line
Operation on Rational Numbers (Addition & Subtraction)
Operation on Rational Numbers (Multiplication & Division)
Properties of Rational Numbers (Closure Property, Commutative Property)
Properties of Rational Numbers (Associative Property, Distributivity of Multiplication over Addition)
Additive and Multiplicative Identities
Rational Numbers Between Two Rational Numbers
Decimal Representation of Rational Numbers
Converting Decimal Number into P/Q Form
Irrational Numbers, Properties of Irrational Numbers
Operation on Irrational Numbers
Rationalisation

Solution of Linear Equations

Introduction to Equations, Properties of an Equation
Solving Equations Having the Variable on One Side
Solving Equations Having the Variable on Both Sides
Equations Reducible to the Linear Form
Application of Linear Equations (Word Problems) - I
Application of Linear Equations (Word Problems) - II
Introduction to Linear Equations in Two Variables
Graph of Linear Equation in Two Variables
Solving Linear Equations in Two Variables (Substitution)
Solving Linear Equations in Two Variables (Elimination)

Matrices

Introduction to Matrices, Order of Matrix, General Representation of Matrix
Principal Diagonal of a Square Matrix, Trace of a Matrix, Equality of Matrices
Types of Matrices - I
Types of Matrices - II
Addition of Matrices, Properties of Matrix Addition, Subtraction of Matrices, Properties of Matrix Subtraction
Multiplication of a Matrix by Scalar
Matrix Multiplication: (2 × 2) by (2 × 2)
Transpose of a Matrix
Symmetric and Skew-Symmetric Matrices

Coordinate Geometry

Introduction to Coordinate Geometry, Cartesian System
Coordinates of a Point, Distance of Point from Axes, Plotting of a Point on Coordinate Axes
Distance Between Two Points
Application of Distance Formula (Collinearity)
Section Formula
Problem on Section Formula
Mid-Point Formula
Introduction to 3-D Coordinate Geometry

Trigonometry

Introduction to Trigonometry
Trigonometric Ratios
Trigonometric Ratios of Some Specific Angles
Trigonometric Ratios of 45, 60 and 30
Trigonometric Ratios of 0 and 90
Trigonometric Identity

Fundamental Maths

Introduction to Equations/Inequalities
Introduction to Linear Inequalities
Properties of Inequalities
Graphs of Inequalities
Absolute Value of Function or Modulus Function
Properties of Modulus
Modulus Inequalities
Greatest Integer Function
Fractional Part

Arithmetic Progression

Introduction to Arithmetic Progression
General Term of AP
Problems on General Term of AP
Sum of 'n' Terms of an A.P.
Properties of A.P.
Word Problems Related to AP
Arithmetic Mean (A.M.)

Polynomials

Introduction to Polynomials
Degree of Polynomial / Classification of Polynomial
Value & Zeros of a Polynomial
Remainder Theorem / Factor Theorem
Application of Factor Theorem in Factorisation of Polynomials
Factorisation of Polynomials by Long Division Method
Factorisation by Splitting the Middle Term
HCF & LCM of Polynomials
Relation Between the HCF, the LCM and the Product of Polynomials

Functions and Its Graphs

Definition of Functions
Type of Functions
Modifying Functions by Shifting - Vertical
Modifying Functions by Shifting - Horizontal
Solution of the Function from Graph
Plotting Graphs - Linear, Quadratic
Plotting Graphs - Cubic, Reciprocal

Comparing Quantities

Introduction to Ratios, Compound Ratio, The Simplest Form of Ratio
Percentage
Finding the Increase or Decrease Percent
Estimation in Percentages, Finding Cost Price/Selling Price
Profit and Loss
Finding Discount, and Successive Discounts
Sales Tax/Value Added Tax/Goods and Services Tax
Simple Interest
Application of Simple Interest (Problem)
Compound Interest
Deducing a Formula for Compound Interest
Rate Compounded Annually or Half Yearly
Applications of Compound Interest Formula

Surface Area and Volume

Introduction, Surface Area of Cube
Volume of Cube
Surface Area of Cuboid
Volume of Cuboid
Surface Area & Volume of Cylinder
Surface Area & Volume of Hollow Cylinder
Surface Area & Volume of Sphere
Surface Area and Volume of Hollow Sphere
Surface Area and Volume of Cone
Recasing of Solids
Combination of Solids

Logarithm

Introduction of Logarithm
Conversion to Log into Exponential Form
Laws for Logarithm - I
Laws for Logarithm - II
Laws for Logarithm - III
Logarithmic Equations
Loading PDF access status...
Loading PDF access status...
Loading PDF access status...
Loading PDF access status...

Explore more insightful videos on our YouTube Channel and stay updated!

Related Courses