Grade 7 Foundation
March 19, 2025 2025-07-29 15:55Grade 7 Foundation
Course Description
The Grade 7 Foundation Course is a comprehensive and integrated program aimed at reinforcing and expanding the academic foundation students have built in previous years. It offers an in-depth exploration of Mathematics, Science, and Logical Reasoning, ensuring that students transition smoothly from basic to intermediate concepts. The curriculum is structured to cultivate analytical skills, numerical proficiency, scientific temper, and logical thought processes. With a blend of core topics like number systems, equations, geometry, and statistics in Mathematics, to foundational concepts in Physics, Chemistry, and Biology, students are exposed to diverse ideas that not only promote academic growth but also sharpen their problem-solving capabilities. This course systematically builds conceptual clarity and prepares students to tackle more complex topics in higher grades with confidence.
Learning Objective
The primary objective of the Grade 7 Foundation Course is to develop a deeper understanding of mathematical operations, algebraic techniques, and geometrical reasoning while advancing the ability to think logically and critically. In Science, the goal is to enhance the understanding of physical laws, chemical reactions, atomic structure, biological processes, and human physiology. Students will learn to interpret data, solve real-world problems, apply scientific knowledge practically, and develop a disciplined approach to logical reasoning and pattern recognition. Emphasis is placed on inquiry-based learning, encouraging students to question, analyze, and make evidence-based conclusions, ultimately equipping them with the skills necessary for competitive exams and advanced academics.
What Will I Learn?
Students will deepen their proficiency in number theory, algebra, ratios, proportions, equations, inequalities, and geometric constructions. They will master operations with rational numbers, work with matrices, solve real-life commercial mathematics problems, and explore coordinate geometry and trigonometry. Logical reasoning skills will be strengthened through advanced topics such as blood relations, coding-decoding, and mathematical operations. In Science, students will gain a strong grasp of fundamental principles including the structure of matter, properties of gases, heat and temperature, electricity, chemical bonding, and the diversity of life. They will learn about biological processes such as nutrition, respiration, reproduction, neural control, and evolution. The course will also familiarize them with key physical laws related to motion, forces, energy, and thermodynamics, along with an introduction to more complex ideas like kinetic theory and electrostatics. By the end of the course, students will have built a solid intellectual framework, laying the foundation for future academic success and scientific thinking.
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.
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Mathematics
Chemistry
Biology
Physics
Number System
Integers, Number Line, Absolute Value
Addition and Subtraction of Integers (Using Number Line and Standard Algorithm)
Multiplication and Division of Integers
Properties of Integers
Rule of BODMAS
Fractions and Its Types
Conversion of Fractions, Comparing Fractions
Addition and Subtraction of Fractions
Multiplication and Division of Fractions
Decimals and Its Conversion, Comparing Decimals
Addition, Subtraction and Multiplication of Decimals
Division of Decimals
Rational Numbers, Equivalent Ratios and Comparing Rational Numbers
Operations on Rational Numbers
Rational Numbers Between Two Rational Numbers
Equations and Inequations
Introduction to Equations
Linear Equation
Properties of Linear Equation
Solving an Equation
Applications of Equations (I and II)
Introduction to Inequalities
Properties of Inequality
Solving Linear Inequations in One Variable
Set Theory
Introduction, Set, Cardinal Number of a Set, Notation
Representation of Sets
Types of Sets
Union of Sets, Intersection of Sets
Set Difference
Symmetric Difference of Two Sets
Venn Diagram, Venn Diagrams of Two Sets
Venn Diagram of Three Sets
Cardinality Formula for Sets
Lines and Angles
Introduction, Basic Terminologies, Angles
Types of Angles, Pair of Angles
Pair of Lines, Angles Formed by a Transversal
Transversal of Parallel Lines, Check for Parallel Lines
Unit of Measurement of Angles, Convert Degree to Radians and Vice Versa
Introduction to Trigonometry, Trigonometric Ratio
Pythagoras Theorem
Percentage and Proportions
Percentage
Conversion of Percentage to Fraction and Decimal, Conversion of Fraction and Decimal to Percentage
Finding Percentage of a Number and Comparison of Percentages
Increase and Decrease in Percentage
Proportion, Continued Proportion
Variation (Direct and Inverse)
Unitary Method, Time and Work, Salary Distribution
Pipes and Cisterns
Commercial Mathematics
Cost Price, Selling Price, Marked Price, Profit %, Loss %
Overhead Charges, Problems Based on Profit and Loss
Marked Price, Discount and Discount %
Simple Interest and Its Applications
Taxes (ST/VAT/GST)
Applications of Commercial Mathematics
Probability
Introduction of Probability, Experiments, Trials
Events and Types of Events, Sample Space and Outcomes
Probability
Axioms of Probability
Important Remarks about Coins, Dice and Playing Cards
Complementary Events
Exponents and Powers
Introduction
Laws of Exponents (I and II)
Use of Exponents in Expressing Large Numbers (Standard Form)
Surds and Its Types
Laws of Exponents for Surds (I and II)
Algebraic Expressions and Identities
Introduction, Basic Terminologies
Types of Algebraic Expression, Polynomials, Different Types of Polynomials, Degree of Polynomials
Addition and Subtraction of Algebraic Expressions
Multiplication and Division of Algebraic Expressions
Finding the Value of an Expression
Identities
Application of Identities
Factorisation (Using Identities, By Regrouping, Middle Term Splitting)
Quadrilaterals
Introduction to Geometrical Figures (Plane Surface, Plane Figures, Curve), Introduction to Polygons
Basic Terminologies (Adjacent Sides, Adjacent Vertices, Diagonals), Classification of Polygons
Sum of Interior Angles of a Polygon, Sum of Measures of the Exterior Angles of a Polygon
Quadrilateral
Angle Sum Property of a Quadrilateral, Sum of Measures of Exterior Angles of a Quadrilateral
Types of Quadrilaterals
Properties of Parallelogram
Properties of Trapezium
Properties of Kite
Cyclic Quadrilateral and Its Properties
Mensuration
Introduction of Perimeter and Area
Area of Square and Rectangle
Area of Parallelogram and Triangles
Area of Trapezium and Rhombus
Circumference and Area of a Circle and Semi-Circle
Area of a Sector
Area of Rectangular Path and Crossroads
Combination of Shapes
Introduction of Surface Area and Volume
Surface Area and Volume of Cube
Surface Area and Volume of Cuboid
Surface Area and Volume of Right Circular Cylinder
Surface Area and Volume of Sphere
Introduction to Coordinate Geometry
Introduction to Coordinate Geometry
Quadrant, Sign Convention in Quadrants
Coordinates of a Point, Locating a Point on the Coordinate Plane
Section Formula
Problems on Section Formula
Mid-point Formula
Problems on Midpoint Formula
Introduction to Matrices
Introduction to Matrices, Order of Matrix, General Representation of Matrix
Types of Matrices
Principal Diagonal of a Square Matrix, Trace of a Matrix
Equality of Matrices
Addition and Subtraction of Matrices, Properties
Multiplication of a Matrix by Scalar
Transpose of a Matrix
Logical Reasoning
Blood Relation (I to IV)
Coding and Decoding (I to IV)
Mathematical Operations (I to III)
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