1: Number Systems
This lesson introduces various types of numbers, including rational and irrational numbers, and operations on real numbers.
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Introduction to Number Systems (Natural, Whole, Integers, Rational): English -
Irrational Numbers: English
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Real Numbers and their Decimal Expansions: Hindi
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Representing Real Numbers on the Number Line: Hindi
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Identifying Rational and Irrational Numbers
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Not startedSimplifying Expressions with Real Numbers
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Not started2: Polynomials
This lesson covers the definition of polynomials, their types, zeros, and various theorems related to them including Factor Theorem and Remainder Theorem.
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Introduction to Polynomials (Terms, Coefficients, Degree): English
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Zeros of a Polynomial: English
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Remainder Theorem: Hindi
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Factor Theorem: Hindi
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Finding Zeros of Linear and Quadratic Polynomials
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Not startedFactorising Polynomials using Identities
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Not started3: Coordinate Geometry
This lesson introduces the Cartesian system for locating points in a plane, including the concepts of axes, origin, quadrants, and plotting points.
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Introduction to Coordinate Geometry: English
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Cartesian System (X-axis, Y-axis, Origin): English
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Introduction to Coordinate Geometry: Hindi
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Plotting a Point in the Plane if its Coordinates are Given: Hindi
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Identifying Quadrants of Given Points
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Not startedPlotting Points on a Graph
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Not started4: Linear Equations in Two Variables
This lesson focuses on defining and solving linear equations with two variables, and their graphical representation.
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Introduction to Linear Equations in Two Variables: English
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Solutions of a Linear Equation: English
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Graph of a Linear Equation in Two Variables: Hindi
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Equations of Lines Parallel to the x-axis and y-axis: Hindi
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Finding Multiple Solutions of a Linear Equation
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Not startedGraphing Linear Equations
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Not started5: Introduction to Euclid's Geometry
This lesson introduces the fundamentals of geometry as presented by Euclid, including axioms, postulates, and theorems.
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Euclid's Definitions, Axioms and Postulates: English
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Euclid's Fifth Postulate: English
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Euclid's Definitions, Axioms and Postulates: Hindi
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Theorems: Hindi
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Understanding Euclid's Axioms
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Not startedDifferentiating Axioms and Postulates
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Not started6: Lines and Angles
This lesson covers fundamental concepts of lines and angles, including types of angles, parallel lines, transversals, and angle relationships.
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Basic Terms and Definitions (Point, Line, Ray, Segment): English
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Types of Angles (Acute, Obtuse, Right, Straight, Reflex): English
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Pair of Angles (Complementary, Supplementary, Adjacent, Vertically Opposite): Hindi
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Parallel Lines and a Transversal (Corresponding, Alternate, Interior Angles): Hindi
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Solving Problems with Angle Relationships
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Not startedProving Parallel Lines using Angle Properties
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Not started7: Triangles
This lesson explores the properties of triangles, including congruence criteria (SAS, ASA, SSS, RHS), inequalities, and properties of isosceles triangles.
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Congruence of Triangles (Introduction): English
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Criteria for Congruence of Triangles (SAS, ASA): English
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Some Properties of a Triangle (Isosceles Triangle Properties): Hindi
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More Criteria for Congruence of Triangles (SSS, RHS): Hindi
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Applying Congruence Rules to Solve Problems
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Not startedProving Triangle Inequalities
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Not started8: Quadrilaterals
This lesson defines quadrilaterals and their various types, focusing on the properties of parallelograms and the Mid-point Theorem.
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Introduction to Quadrilaterals: English
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Angle Sum Property of a Quadrilateral: English
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Types of Quadrilaterals (Trapezium, Parallelogram, Rectangle, Rhombus, Square): Hindi
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Properties of a Parallelogram: Hindi
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Proving Properties of Parallelograms
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Not startedApplying Mid-point Theorem in Geometric Proofs
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Not started9: Areas of Parallelograms and Triangles
This lesson focuses on theorems related to the areas of parallelograms and triangles, especially those on the same base and between the same parallels.
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Figures on the Same Base and Between the Same Parallels: English
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Parallelograms on the Same Base and Between the Same Parallels: English
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Figures on the Same Base and Between the Same Parallels: Hindi
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Triangles on the Same Base and Between the Same Parallels: Hindi
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Calculating Areas of Parallelograms
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Not startedRelating Areas of Triangles and Parallelograms
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Not started10: Circles
This lesson covers the basic definitions and properties of circles, including chords, arcs, angles subtended by chords, and cyclic quadrilaterals.
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Introduction to Circles and Related Terms (Radius, Chord, Arc, Sector, Segment): English
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Angle Subtended by a Chord at a Point: English
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Perpendicular from the Centre to a Chord: Hindi
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Equal Chords and their Distances from the Centre: Hindi
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Applying Circle Theorems to Solve Problems
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Not startedProving Properties of Cyclic Quadrilaterals
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Not started11: Constructions
This lesson teaches the construction of various geometric figures using only a ruler and a compass, including bisectors, angles, and triangles.
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Basic Constructions (Angle Bisector, Perpendicular Bisector): English
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Construction of Angles of Various Measures: English
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Basic Constructions (Angle Bisector, Perpendicular Bisector): Hindi
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Construction of Triangles (Given Base, Base Angle, Sum/Difference of Other Two Sides): Hindi
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Constructing Different Angles
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Not startedConstructing Triangles with Given Conditions
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Not started12: Heron's Formula
This lesson introduces Heron's Formula for calculating the area of a triangle when the lengths of all three sides are known, and its applications.
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Area of a Triangle – By Heron's Formula: English
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Application of Heron's Formula in Finding Area of Quadrilaterals: English
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Area of a Triangle – By Heron's Formula: Hindi
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Application of Heron's Formula in Finding Area of Quadrilaterals: Hindi
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Calculating Area of Triangles with Heron's Formula
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Not startedSolving Real-Life Problems using Heron's Formula
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Not started13: Surface Areas and Volumes
This lesson deals with the surface areas and volumes of various 3D shapes, including cuboids, cubes, cylinders, cones, spheres, and hemispheres.
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Surface Area of a Cuboid and a Cube: English
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Surface Area of a Right Circular Cylinder: English
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Volume of a Cuboid: English
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Volume of a Cylinder: English
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Surface Area of a Cuboid and a Cube: Hindi
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Surface Area of a Right Circular Cylinder: Hindi
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Volume of a Cuboid: Hindi
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Volume of a Cylinder: Hindi
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Calculating Surface Areas of Combined Solids
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Not startedSolving Problems on Volume and Capacity
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Not started14: Statistics
This lesson introduces the basics of statistics, including data collection, presentation (bar graphs, histograms, frequency polygons), and measures of central tendency (mean, median, mode).
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Introduction to Statistics (Data, Raw Data, Frequency): English
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Collection of Data (Primary and Secondary Data): English
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Presentation of Data (Grouped and Ungrouped Frequency Distribution): Hindi
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Graphical Representation of Data (Bar Graphs, Histograms, Frequency Polygons): Hindi
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Creating Different Types of Graphs
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Not startedCalculating Mean, Median, and Mode for Different Datasets
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Not started15: Probability
This lesson introduces the empirical or experimental approach to probability, defining it as the ratio of favorable outcomes to the total number of trials.
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Introduction to Probability (Random Experiment, Event, Outcome): English
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Introduction to Probability (Random Experiment, Event, Outcome): English
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Experimental Probability (Empirical Probability): Hindi
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Probability of an Event: Hindi
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Calculating Probability of Simple Events
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Not startedSolving Problems based on Experimental Probability
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