ICSE Class 10 Maths | 2. Algebra by Pavan | Learn Smarter with Allrounder.ai
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2. Algebra

The chapter covers fundamental concepts in algebra, including linear inequations, quadratic equations, factorization of polynomials, ratios, proportions, matrices, and progressions. Each section explains the principles, provides examples, and demonstrates methods for solving problems associated with each topic. The chapter concludes with exercises and group activities that reinforce the learned concepts.

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Sections

  • 2

    Algebra

    This section explores key algebraic concepts, including linear inequations, quadratic equations, polynomials, ratios, matrices, and progressions.

    Learning Practice

  • 2.1

    Linear Inequations (In One Variable)

    Linear inequations express the inequality between two expressions, and solving these involves finding the values that satisfy the inequality while preserving the inequality signs.

    Learning Practice

  • 2.2

    Quadratic Equations

    Quadratic equations are mathematical expressions in the form ax² + bx + c = 0 and can be solved using factorization or the quadratic formula.

    Learning Practice

  • 2.3

    Factorisation Of Polynomials

    This section covers the concept of factorising polynomials, essential for simplifying algebraic expressions and solving equations.

    Learning Practice

  • 2.4

    Ratio And Proportion

    This section introduces the concepts of ratio and proportion, focusing on their definitions and practical applications.

    Learning Practice

  • 2.5

    Matrices (Order 2 × 2)

    This section introduces matrices as rectangular arrays of numbers and covers the operations of addition, subtraction, and multiplication specific to 2x2 matrices.

    Learning Practice

  • 2.6

    Arithmetic Progression (A.p.)

    Arithmetic Progression (A.P.) refers to a sequence of numbers where the difference between consecutive terms is constant.

    Learning Practice

  • 2.7

    Geometric Progression (G.p.)

    Geometric Progression involves sequences formed by multiplying each term by a constant ratio, with formulas governing the nth term and the sum of the series.

    Learning Practice

References

m2.pdf

Class Notes

Memorization

What we have learnt

  • An inequation expresses the...
  • Quadratic equations can be ...
  • Factorization of polynomial...

Final Test

Revision Tests