Featured Posts
Lesson Plan Math Class X (Ch-4) | Quadratic Equations
- Get link
- Other Apps
TEACHER'S NAME : DINESH KUMAR | SCHOOL : RMB DAV CENTENARY PUBLIC SCHOOL NAWANSHAHR |
SUBJECT : MATHEMATICS | CLASS : X STANDARD BOARD : CBSE |
LESSON TOPIC / TITLE : CHAPTER 13: QUADRATIC EQUATIONS | ESTIMATED DURATION: This topic is divided into seven modules and are completed in fifteen class meetings. |
- 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.
- 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.
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.
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
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.
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
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.
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.
Students can also solve the quadratic equations by directly applying the quadratic formula
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.
- 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.
PLEASE COMMENT BELOW
🙏
- Get link
- Other Apps
Comments
really helpful lesson plan!!!!
ReplyDeleteexcellent work
ReplyDeleteVery helpful
ReplyDelete