Math Notes

NCERT Mathematics Exam Content Table

Class 6:

1. Knowing Our Numbers:

   • Large Numbers
   • Comparing and Ordering Numbers

2. Whole Numbers:

   • Properties of Whole Numbers
   • Operations on Whole Numbers

3. Playing with Numbers:

   • Factors and Multiples
   • Prime and Composite Numbers

4. Basic Geometrical Ideas:

   • Points, Lines, and Angles
   • Basic Shapes

5. Understanding Elementary Shapes:

   • Triangles and Quadrilaterals
   • Circles

6. Data Handling:

   • Collecting Data
   • Pictographs and Bar Graphs

7. Fractions:

   • Types of Fractions
   • Operations on Fractions

8. Decimals:

   • Decimal Notation
   • Operations on Decimals

9. Mensuration:

   • Perimeter and Area of Simple Shapes

10. Algebra:

    • Introduction to Algebra
    • Simple Algebraic Expressions

11. Ratio and Proportion:

    • Understanding Ratios
    • Solving Proportions

Class 7:

1. Integers:

   • Operations on Integers
   • Properties of Integers

2. Fractions and Decimals:

   • Operations on Fractions
   • Conversion Between Fractions and Decimals

3. Data Handling:

   • Bar Graphs and Histograms
   • Mean, Median, and Mode

4. Simple Equations:

   • Solving Linear Equations
   • Applications of Simple Equations

5. Lines and Angles:

   • Types of Angles
   • Properties of Parallel Lines

6. Triangles:

   • Types of Triangles
   • Properties of Triangles

7. Congruence of Triangles:

   • Criteria for Congruence

8. Symmetry:

   • Line Symmetry
   • Rotational Symmetry

9. Visualizing Solid Shapes:

   • Surface Area and Volume of Cubes and Cuboids

10. Algebra:

    • Simple Linear Equations
    • Algebraic Expressions

11. Ratio and Proportion:

    • Proportions and Their Applications

Class 8:

1. Rational Numbers:

   • Operations on Rational Numbers
   • Properties of Rational Numbers

2. Linear Equations in Two Variables:

   • Solving Linear Equations
   • Graphing Linear Equations

3. Understanding Quadrilaterals:

   • Types of Quadrilaterals
   • Properties and Theorems

4. Data Handling:

   • Probability
   • Data Interpretation

5. Squares and Square Roots:

   • Square Numbers
   • Square Roots and Their Properties

6. Cubes and Cube Roots:

   • Cube Numbers
   • Cube Roots and Their Properties

7. Mensuration:

   • Area and Volume of Various Shapes
   • Surface Areas of Solids

8. Algebraic Expressions and Identities:

   • Simplifying Expressions
   • Using Algebraic Identities

9. Introduction to Graphs:

   • Plotting Points on Cartesian Plane
   • Graphs of Linear Equations

10. Visualizing Solid Shapes:

    • 3D Shapes and Their Properties

Class 9:

1. Number Systems:

   • Real Numbers
   • Irrational Numbers

2. Algebra:

   • Polynomials
   • Factorization and Identities

3. Coordinate Geometry:

   • Cartesian Plane
   • Distance Formula and Section Formula

4. Linear Equations in Two Variables:

   • Graphical Method
   • Algebraic Solutions

5. Geometry:

   • Euclid's Geometry
   • Lines and Angles
   • Triangles and Their Properties

6. Mensuration:

   • Areas of Triangles and Quadrilaterals
   • Volume of Solids (Cylinders, Cones, and Spheres)

7. Statistics:

   • Mean, Median, and Mode
   • Graphical Representation

8. Probability:

   • Basic Probability Concepts
   • Simple Experiments

Class 10:

1. Algebra:

   • Quadratic Equations
   • Arithmetic Progressions

2. Geometry:

   • Circles: Properties and Theorems
   • Constructions: Basic Constructions of Geometric Figures

3. Coordinate Geometry:

   • Straight Line Equations
   • Distance Formula and Section Formula

4. Trigonometry:

   • Trigonometric Ratios
   • Trigonometric Identities and Applications

5. Mensuration:

   • Surface Area and Volume of Various Solids
   • Applications of Mensuration

6. Statistics:

   • Data Handling: Mean, Median, Mode
   • Cumulative Frequency Distribution

7. Probability:

   • Basic Probability Rules
   • Problems on Probability

8. Polynomials:

   • Polynomial Functions
   • Zeros of Polynomials

This table provides a broad overview of the topics typically covered in NCERT Mathematics textbooks. For precise details and the latest updates, always refer to the specific NCERT textbooks and curriculum guides for each class.

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