# Mathematics 7 - 9

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Live online course for class 7th, 8th & 9th

Individual

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Classroom duration

1 hours

Package Duration

10 hours

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### What you'll learn

 CLASS VII CLASS VIII CLASS IX Number Systems 1. Properties of Operations on Whole Numbers Factors and Multiples 1. Factors and Multiples 2. Divisibility Test 3. H.C.F (G.C.D) and L.C.M Rational and Irrational Numbers, Surds Integers 1. Introduction to Integers 2. Properties of Addition and Subtraction of Integer 3. Properties of Multiplication and Division of Integer Set Concepts Profit, Loss and Discounts 1. Profit and Loss 2. Marked Price and Discounts Introduction to Set Concepts Number system – 1 1. Whole Numbers, Integers and Rational Numbers 2. Properties of Operation on Rational Numbers 3. Density Property of Rational Numbers 4. Rational Numbers on Number Line 5. Real Number System 6. Irrational Number 7. Rationalisation Compound Interest 1. Amount: Rate of Interest Same 2. Amount: Rate of Interest Changes Operations on Sets and Venn Diagrams Square and Square Roots Expansion 1. Expansions Using Square Identities 2. Expansions Using Square Identities HCF and LCM of Numbers Decimal – 1 1. Decimal Numbers 2. Operations on Decimals 3. Decimals and Fractions 4. H.C.F and L.C.M of Decimals Factorisation 1. Factorisation of Polynomials 2. Factorisation: Split the Middle Term 3. Factorisation using the Square and Cubic Identities Introduction and Operations on Decimal Numbers Cubes and Cube Roots Changing the Subject of the Formula 1. Concept of Formulae Fractions 1. Introduction to Fractions 2. Operations on Fractions and Word Problems Percentage Increase and Decrease Linear Equations and Simultaneous Equations 1. Solving Linear Equations 2. Substitution and Elimination Method Powers and Roots 1. Introduction to Powers 2. Squares and Square Roots 3. Cubes and Cube Roots Profit, Loss and Discount Problems Indices 1. Laws of Exponents 2. Simplification of Exponents Ratio and Proportion Simple and Compound Interest Logarithms 1. Concept of Logarithms and Applications 2. Logarithms Unitary Method and its Applications Ration and Proportion 1. Ratio of Quantities 2. Direct Proportion 3. Indirect Proportion Triangles and its Properties Percentage 1. Problems on Percentage 2. Profit and Loss 3. Discounts 4. Simple interest Time and Distance Congruent Triangles 1. Congruence Criteria: SAS and ASA 2. Congruence Criteria: SSS and RHS Introduction and Operations on Algebraic Expressions Unitary Method and its Applications 1. Time and work 2. Pipes and Cisterns Properties of Isosceles Triangles Frequency Distribution and Mean Fundamental Concepts and Operations 1. Addition, Subtraction, Multiplication and Division of Polynomials Inequalities in A Triangle Problems on Perimeter and Area Algebraic Identities 1. Product of Two Binomials 2. Squaring A Binomial and trinomial Construction of Triangle Introduction and Laws of Exponents Factorisation 1. Factorisation by Grouping Terms 2. Factorising Trinomial Mid-Point Theorem 1. Mid-point Theorem 2. Basic Proportionality Theorem 3. Division of a Line Segment Special Products (Some Special Identities) 1. Introduction to Identities Simplification of Algebraic Expression 1. HCF and LCM of Polynomials 2. Operations on Algebraic Fraction Similarity 1. Concept of Similarity 2.  Criteria of Similar Triangles Linear Equations in One Variable 1. Solving Simple Equations and Word problems Concept of Formula Pythagoras Theorem Graphs 1. Introduction to Graphs 2. Graphs of a Linear Equation Laws of Exponents Rectilinear Figures 1. Polygons 2. Quadrilaterals 3. Parallelograms: Basic and Diagonal Properties Volume and Surface area of Solids 1. Surface Area and Volume of Cube and Cuboid Linear Equation 1. Linear Equation in One Variable 2. Applications of Linear Equations 3. Simultaneous Linear Equations Construction of Quadrilaterals 1. Construction of Quadrilaterals and Parallelograms 2. Construction of Trapezium, Regular Polygons and Triangles Basic Geometrical Concepts – Lines and Angles Solving of Simultaneous Equation Area Theorems 1. Concept of Area of Region 2. Area of Parallelograms and Triangles Applications and Conditions of Congruence of Triangles Application of Simultaneous Equations Statistics: Grouping and Tabulation of Data Properties of Parallel Lines Linear Graphs 1. Graphical Representation 2. Graphical Solution Mean and Median of Ungrouped Data 1. Arithmetic Mean and Median 2. Graphical Representation of Data Polygons 1. Polygons and Their Classification 2. Types of Quadrilateral 3. Construction of Rectangles and Squares Quadratic Equations Mensuration I 1. Perimeter and Area of Plane Figures 2. Area of Quadrilaterals 3. Areas of Combination of Figures 4. Area of Perimeter of Circle 5. Area of Sectors Basic Constructions Linear Inequations 1. Solution set of an Inequality on a Number Line 2. Solving Combined Inequalities Mensuration II 1. Surface Area of a Cube and Cuboid 2. Volume of Cube and Cuboid 3. Surface Area of Cylinder 4. Volume of a Cylinder Triangles 1. Classification and Properties of Triangles 2. Construction of Triangles Representation of A Relation and Function Trigonometry 1. Trigonometric Ratio 2. Trigonometric Ratios of Standard Angles 3. Complementary Angle Relations Introduction to Circles Basic Concept of Geometry 1. Types of Angles 2. Parallel Lines Coordinate Geometry – I 1. Cartesian Plane 2. Graphical Representation 3. Straight Lines Graphical Representation of Data 1. Bar Graphs, Line Graphs and Pie Charts Triangles 1. Classification of Triangles 2. Angle Sum Property of a Triangle 3. Pythagoras Theorem 4. Triangle-Inequality Properties 5. Congruence of Triangle Line Symmetry Special Types of Quadrilateral 1. Properties of a Parallelogram 2. Quadrilaterals 3. Polygons Factorization of Algebraic Expressions Construction of Special Types of Quadrilaterals 1. Construction of Quadrilaterals 2. Construction on Rectangles and Squares 3. Construction of Parallelogram and Rhombus Simplification of Algebraic Expression Some Theorems on Area 1. Area of Parallelogram and Triangles Distance, time and Speed Cord and Angle Properties of a Circle Finding Average Constructions 1. Basic Construction 2. Construction on Triangles and Circles Farming a Formula Line Symmetry, Reflection and Rotation Linear Equations 1. Solving In-equations Area of Rectilinear Figures 1. Area and Perimeter of Quadrilaterals 2. Area of Triangle Relations and Mapping 1. Ordered Pairs and Relations Circumference and Area of Circle Coordinate Geometry – Introduction to Reflection Volume and Surface area of Solids 1. Volume of Cube and Cuboid 2. Surface Area of a Cube and Cuboid Introduction to Rotation Data Handling 1. Frequency Distribution 2. Arithmetic Mean 3. Grouped Frequency Distribution 4. Median and Mode 5. Bar Graphs and Histograms