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May 20, 2025 2025-06-28 15:33Demo
Course Description
The Grade 10 Foundation Course is a comprehensive and rigorously structured program aimed at refining the academic acumen of students in Mathematics, Physics, Chemistry, and Biology. It focuses on deepening conceptual clarity, strengthening problem-solving skills, and developing analytical thinking. The curriculum is crafted to provide a strong grounding in fundamental topics while progressively introducing advanced concepts. By integrating theoretical knowledge with real-world applications, the course ensures that students are not only well-prepared for board examinations but are also equipped for future academic challenges and competitive environments.
Learning Objective
This course is designed to enable students to build a solid foundation in key mathematical domains including polynomials, quadratic equations, matrices, trigonometry, probability, and logarithmic functions. Students will master complex calculations, logical reasoning, and geometric interpretations. In Chemistry, the focus will be on atomic structure, chemical bonding, periodic trends, organic and inorganic compounds, and stoichiometric principles, encouraging precise scientific understanding. Biology modules will guide students through critical areas such as life processes, cell division, genetics, human physiology, reproduction, and chemical coordination in plants and animals. Physics sessions will sharpen their grasp of motion, forces, thermodynamics, optics, electromagnetism, and modern physics, supplemented with mathematical tools like calculus and vectors. Overall, the program is committed to fostering a strong scientific temperament and quantitative aptitude, preparing students for advanced studies and competitive exams.
What Will I Learn?
Students will learn to solve advanced algebraic problems involving polynomials, matrices, determinants, and quadratic equations, and understand the application of trigonometric identities and probability in real-life scenarios. They will explore calculus-based approaches in physics, tackling motion, friction, work-energy, and current electricity concepts, alongside mastering the intricacies of light reflection, refraction, and electromagnetic induction. In Chemistry, they will delve deep into atomic theories, the periodic table, chemical bonding, and fundamental organic chemistry, while understanding stoichiometric calculations and real-world chemical applications. Biology will expose them to the mechanisms of life processes, cellular structures, genetic inheritance, organ systems, and chemical coordination, providing a complete picture of living systems. Through rigorous practice sessions, real-life problem-solving, and continuous assessments, students will develop precision, analytical prowess, and a scientific mindset, equipping them to excel in academic pursuits and competitive arenas.
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Mathematics
Chemistry
Biology
Physics
Fundamental Maths
Introduction, Representation of Inequality - Intervals and Number Line
Properties of Inequality, Solution of Linear Inequalities
Graphs of Inequalities
Absolute Value of Function or Modulus Function, Greatest Integer Function and Fractional Part
Polynomials
Introduction to Polynomials - Degree of Polynomial and Classification of Polynomial
Value and Zero of a Polynomial
Remainder Theorem, Factor Theorem and Application of Factor Theorem
Factorisation of Polynomials: Long Division Method and Splitting Middle Term
HCF and LCM of Polynomials
Algebraic Identities
Logarithm
Introduction to Logarithm
Types of Logarithm, Laws of Logarithm (Addition and Subtraction)
Laws of Logarithm
Logarithmic Equations
Matrices and Determinants
Introduction, Order of Matrix and Representation of Matrix, Types of Matrices
Operation of Matrices
Transpose of a Matrix - Symmetric and Skew Symmetric Matrix
Determinant of a Square Matrix
Properties of Determinants
Application of Determinants
Permutation and Combination
Introduction, Fundamental Principle of Counting
Factorial Notation, Dictionary
Permutations - Gap Method, String Method
Combinations
Straight Lines
Introduction to Coordinate Geometry, Location of a Point on Coordinate Plane
Distance Formula, Section Formula and Mid Point Theorem
Gradient and Equation of Line in Various Forms
Centroid, Orthocentre and Circumcentre
Circles
Standard Form of Equation of Circle and General Form
Tangent and Normal to the Circle
Complex Number
Introduction to Complex Number, iota and Basic Properties
Real Part and Imaginary Part, Equality of Complex Numbers, Conjugate
Operations on Complex Numbers
Cartesian Representation
Quadratic Equations
Introduction to Quadratic Equations, Roots, Geometrical Meaning of Zeroes of Quadratic Equations
Solution of Quadratic Equation - Middle Term Splitting, Completing Square Method
Quadratic Formula and Nature of Roots of Quadratic Equations
Quadratic Equation in Real and Complex Number, Square Root of Complex Number
Relationship Between Roots and Coefficient of Quadratic Equation
Formation of Quadratic Equation with Given Roots
Sequence and Series
Introduction to Sequence and Series, AP - nth Term from Beginning and End
Selection of Terms, Arithmetic Mean
Sum of n Terms of an AP, Some Properties in AP
Geometric Progression, nth Term Formula from Beginning and End, Selection of Terms
Geometric Mean, Sum of n Terms in GP, Types of GP
Some Properties in GP, Introduction to HP - nth Term
Harmonic Mean, Relation Between AM, GM and HM
Arithmetic and Geometric Progression
Introduction to Trigonometry
Introduction, Trigonometric Ratios, Trigonometric Ratios of Specific Angles
Trigonometric Identities and Graphs
Compound Angles and Half Angles Formulae
Inverse Trigonometric Functions
Trigonometry and its Applications
Angles of Elevation and Depression
Numericals
Probability
Introduction, Basic Common Random Experiment
Algebra of Events, Addition Theorem of Probability, Types of Events
Conditional Probability, Probability Using Permutation and Combination Concept
Bayes Theorem
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