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Lesson Plan Math Class X (Ch-4) | Quadratic Equations
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Board - CBSE |
CLASS –X |
SUBJECT- MATHEMATICS |
CHAPTER 4 :- Quadratic Equations |
- Method of factorizing a quadratic equations class 9^{th} .
- Quadratic polynomials chapter 2 class 10^{th}
- Introduction explanation and definition of quadratic equations.
- Difference between the quadratic equations and quadratic polynomials.
- Relationship between roots and coefficients of quadratic polynomials.
- Method of finding the roots by factor method, by the method of completing the square and by quadratic formulas.
- Discuss the nature of roots by using discriminant.
S.No. |
TOPIC [FOR COMPLETE EXPLANATION OF THE TOPIC] |
1 |
Introduction Teacher should write the quadratic
equation on the board and then explain all the components of quadratic
equations like coefficient, variable and constant term. General Quadratic Equation is : ax^{2} + bx + c = 0 a is the coefficient of x^{2}, b is the coefficient of x, c is the constant term. Now teacher will introduce the definition
of quadratic equations and explain the difference between the quadratic
equations and quadratic polynomials. |
2 |
Roots of a Quadratic
Equation Solutions of the quadratic
equations are called its roots. Roots are the values of x for
which the given quadratic equation become equal to zero. Now teacher will explain the
relationship between the roots and coefficients of quadratic equations. Teacher will also explain the
method of making the quadratic equation from the roots. x^{2} – Sx +
P = 0 Where S is the sum of roots and P
is the product of roots x^{2} – (Sum of roots)x + Product of roots = 0 |
3 |
Factor Method to solve
Q.E. Now
teacher will introduce the factor method of finding the roots of the
quadratic equations. Teacher will also provide sufficient number problems to
the students so that students will understand the concept properly. |
4 |
Discriminant and Nature
of roots Now teacher will introduce the Discriminant(D) and explain its relation with the general Q.E. D = b^{2}
– 4ac Now teacher will explain the Nature
of Roots with different conditions of
D. i.e. for D > 0, D = 0, D <
0 and D ≥ 0 |
5 |
Method of Completing the
Square Now teacher will write general
quadratic equation and step by step explain the method of completing the
square. Teacher will also explain the method by taking 2 - 3 examples so that
students will completely understand the concept. |
6 |
Quadratic Formula Now teacher will explain to the students that the last result that we get in the method of completing the square is called the Quadratic formula.\[x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}\]Students can also solve the quadratic equations by directly applying the quadratic formula |
7 |
Applications It is important for the students
to have the ability to apply all the methods of solving the quadratic
equations in different situations (word problems). Teacher will provide different
situations to the students and help then to solve the problems by using
different methods. Teacher can also introduce some practice
worksheets to the students. |
- All formulas and all important concepts related to the quadratic equations.
- Students should know the nature of solutions by using Discriminant.
- Students should know the factor method, method of completing the squares, and quadratic formula for solving the Q.E.
- Students should also know the method of implementation of these formulas in simple and complex problems.
- Students should review the questions given by the teacher.
- Students should prepare the presentation on the different methods of solving quadratic equations.
- Students should Solve the N.C.E.R.T. problems with examples,
- Students should solve assignment on Multiple Choice Questions (MCQ) given by the teacher.
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Comments
really helpful lesson plan!!!!
ReplyDeleteexcellent work
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