ex 4 class 10 web page modulations

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🔷 1. Introduction to Quadratic Equations (Section 4.1)

• Objective: Help students relate to quadratic equations through real-life problems.

• Teaching Tips:

  • Start with relatable examples: e.g., area of a hall, marbles game.

  • Explain how real-life scenarios can be modeled with algebra.

  • Highlight the standard form:
    $ax^2 + bx + c = 0, \quad a \neq 0$

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🔷 2. Identifying Quadratic Equations (Section 4.2)

• Objective: Teach students to identify whether a given equation is quadratic.

• Activities:

  • Simplify equations and check the degree.

  • Use examples from the textbook to classify each equation.

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🔷 3. Solving by Factorisation (Section 4.3)

• Objective: Learn the method of splitting the middle term to solve.

• Steps to Teach:

  1. Express in standard form.

  2. Split middle term (product = a×c, sum = b).

  3. Factor and equate to zero.

• Use examples like:
  $2x^2 - 5x + 3 = 0 \Rightarrow (2x-3)(x-1) = 0$

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🔷 4. Nature of Roots (Section 4.4)

• Objective: Understand how the discriminant determines the type of roots.

• Teach:

  $$D = b^2 - 4ac$$

  • $D > 0$: Two distinct real roots

  • $D = 0$: Two equal real roots

  • $D < 0$: No real roots

• Do examples using the quadratic formula:

  $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$

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🔷 5. Application-Based Problems

• Use word problems from Exercise 4.2 and 4.3:

  • Age problems

  • Speed-distance-time

  • Geometry (area/perimeter)

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🔷 6. Practice Exercises

Encourage students to solve:

• Exercise 4.1: Identify quadratic equations

• Exercise 4.2: Solve by factorisation

• Exercise 4.3: Nature of roots & applications

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📌 Suggested Teaching Aids:

• Diagrams (e.g., rectangle for area problems)

• Algebra tiles (to demonstrate factoring visually)

• Graphs (to show parabolas and roots visually)

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Would you like a ready-to-use lesson plan or PowerPoint slides for this chapter?