Study Material : Video Lectures | textbok Solutions | Notes

1: Integers

This chapter introduces the concept of integers, their representation on a number line, and fundamental operations like addition, subtraction, multiplication, and division of integers.

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  • VideoIntroduction to Integers and Their Need : English
  • VideoRepresentation of Integers on a Number Line : English
  • VideoAddition and Subtraction of Integers : Hindi
  • VideoMultiplication and Division of Integers : Hindi

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Mastering addition and subtraction of integers.

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Applying multiplication and division rules for integers.

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2: Fractions and Decimals

This chapter covers understanding fractions and decimals, their comparison, and operations like addition, subtraction, multiplication, and division.

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  • VideoTypes of Fractions and Decimals : English
  • VideoAddition and Subtraction of Fractions : English
  • VideoMultiplication and Division of Fractions : Hindi
  • VideoOperations on Decimals : Hindi

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Solving problems involving addition and subtraction of fractions.

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3: Data Handling

This chapter introduces the collection, organization, and representation of data, including mean, median, mode, and probability.

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  • VideoIntroduction to Data and Data Collection : English
  • VideoOrganization of Data (Tally Marks, Frequency Distribution) : English
  • VideoArithmetic Mean, Median, and Mode : Hindi
  • VideoBar Graphs and Double Bar Graphs : Hindi

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Calculating mean, median, and mode for given data sets.

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4: Simple Equations

This chapter deals with forming and solving simple linear equations in one variable, and their applications in daily life problems.

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  • VideoIntroduction to Equations and Variables : English
  • VideoFraming Simple Equations : English
  • VideoSolving Equations by Transposing Method : Hindi
  • VideoSolving Equations by Balancing Method : Hindi

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Forming equations from word problems.

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5: Lines and Angles

This chapter explores basic geometric concepts of lines and angles, including complementary, supplementary, adjacent, and vertically opposite angles.

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  • VideoIntroduction to Lines and Angles : English
  • VideoComplementary and Supplementary Angles : English
  • VideoAdjacent Angles and Vertically Opposite Angles : Hindi
  • VideoIntersecting Lines and Transversals : Hindi

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Identifying different types of angles.

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6: The Triangle and Its Properties

This chapter covers the properties of triangles, including medians, altitudes, angle sum property, exterior angle property, and Pythagoras theorem.

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  • VideoIntroduction to Triangles and Their Elements : English
  • VideoMedians and Altitudes of a Triangle : English
  • VideoAngle Sum Property of a Triangle : Hindi
  • VideoExterior Angle Property of a Triangle : Hindi

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Applying angle sum property to find unknown angles.

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7: Congruence of Triangles

This chapter focuses on the concept of congruence of geometric figures, particularly triangles, and the different criteria for their congruence.

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  • VideoIntroduction to Congruence : English
  • VideoCongruence Criterion: SSS (Side-Side-Side) : English
  • VideoCongruence Criterion: SAS (Side-Angle-Side) : Hindi
  • VideoCongruence Criterion: ASA (Angle-Side-Angle) : Hindi

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Identifying congruent triangles using SSS and SAS criteria.

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8: Comparing Quantities

This chapter deals with ratios and proportions, percentages, profit and loss, simple interest, and their applications in real-life scenarios.

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  • VideoRatios and Proportions : English
  • VideoPercentages - Converting and Finding : English
  • VideoProfit and Loss : Hindi
  • VideoSimple Interest : Hindi

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Calculating percentages in different scenarios.

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9: Rational Numbers

This chapter introduces rational numbers, their properties, representation on a number line, and operations like addition, subtraction, multiplication, and division.

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  • VideoIntroduction to Rational Numbers : English
  • VideoEquivalent Rational Numbers : English
  • VideoOperations on Rational Numbers (Add, Subtract, Multiply, Divide) : Hindi
  • VideoRepresentation of Rational Numbers on Number Line : Hindi

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Performing arithmetic operations on rational numbers.

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10: Practical Geometry

This chapter focuses on the construction of parallel lines and different types of triangles using ruler and compass.

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  • VideoIntroduction to Geometric Constructions : English
  • VideoConstruction of a Line Parallel to a Given Line : English
  • VideoConstruction of Triangle: SSS Criterion : Hindi
  • VideoConstruction of Triangle: SAS Criterion : Hindi

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Constructing parallel lines accurately.

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11: Perimeter and Area

This chapter deals with calculating the perimeter and area of various plane figures like squares, rectangles, triangles, parallelograms, and circles.

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  • VideoIntroduction to Perimeter and Area : English
  • VideoPerimeter and Area of Square and Rectangle : English
  • VideoArea of Triangle and Parallelogram : Hindi
  • VideoCircumference and Area of Circle : Hindi

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Calculating the area of composite shapes.

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12: Algebraic Expressions

This chapter introduces algebraic expressions, terms, coefficients, like and unlike terms, and operations like addition and subtraction of algebraic expressions.

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  • VideoIntroduction to Algebraic Expressions : English
  • VideoTerms, Factors, Coefficients : English
  • VideoLike and Unlike Terms : Hindi
  • VideoAddition and Subtraction of Algebraic Expressions : Hindi

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Simplifying algebraic expressions by combining like terms.

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13: Exponents and Powers

This chapter introduces exponents, laws of exponents, and expressing large numbers in standard form.

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  • VideoIntroduction to Exponents and Powers : English
  • VideoLaws of Exponents (Product, Quotient, Power of a Power) : English
  • VideoMore Laws of Exponents (Zero Exponent, Negative Exponent) : Hindi
  • VideoExpressing Large Numbers in Standard Form : Hindi

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Simplifying expressions using laws of exponents.

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14: Symmetry

This chapter introduces concepts of line symmetry and rotational symmetry in various geometrical shapes.

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  • VideoIntroduction to Symmetry : English
  • VideoLine Symmetry : English
  • VideoRotational Symmetry : Hindi
  • VideoOrder of Rotational Symmetry : Hindi

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Identifying lines of symmetry in different shapes.

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15: Visualising Solid Shapes

This chapter introduces 3D shapes, their faces, edges, vertices, and how to view them from different perspectives.

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  • VideoIntroduction to 3D Shapes : English
  • VideoFaces, Edges, and Vertices of Solid Shapes : English
  • VideoViewing Different Sections of a Solid : Hindi
  • VideoNets for Building 3D Shapes : Hindi

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Identifying faces, edges, and vertices of common 3D shapes.

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