### Common Errors in Secondary Mathematics

Common Errors Committed  by the  Students  in Secondary Mathematics   Errors  that students often make in doing secondary mathematics  during their practice and during the examinations  and their remedial measures are well explained here stp by step.  Some Common Errors in Mathematics

### Lesson Plan Math Class X (Ch-4) | Quadratic Equations

E- LESSON PLAN   SUBJECT MATHEMATICS    CLASS 10
lesson plan for maths class 10 cbse, lesson plans for mathematics teachers,  Method to write lesson plan for maths class 4, lesson plan for maths class 12 rational numbers, lesson plan for mathematics grade 10, lesson plan for maths in B.Ed. TEACHER'S NAME  :   DINESH KUMAR SCHOOL :  RMB DAV CENTENARY PUBLIC SCHOOL NAWANSHAHR SUBJECT   :   MATHEMATICS CLASS                  :   X  STANDARDBOARD                 :  CBSE LESSON TOPIC / TITLE   : CHAPTER 13:  QUADRATIC EQUATIONS ESTIMATED DURATION: This topic is divided into seven modules and are completed in fifteen class meetings.

PRE- REQUISITE KNOWLEDGE:-
• Method of factorizing a quadratic equations class 9th .
• chapter 2 class 10th
TEACHING AIDS:-
Green Board, Chalk,  Duster, Charts, smart board, laptop, projector  etc.

METHODOLOGY:-
Demonstration and Lecture method.

LEARNING OBJECTIVES:
• Introduction explanation and definition of quadratic equations.
• 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.
EXPECTED OUTCOMES:-
After studying this lesson students should know
• 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.
RESOURCES
NCERT Text book of Mathematics
NCERT Exemplar Text Book
RESOURCE CENTRE at cbsemathematics.com

KEY WORDS :

PROCEDURE

Start the session by checking their previous knowledge, by asking the questions of quadratic polynomials, its general equation, its degree and zeroes. After this explain the topic to the students.

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.

ax2 + bx + c = 0

a is the coefficient of x2,

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.

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.

x2 – Sx + P = 0

Where S is the sum of roots and P is the product of roots

x2 – (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 = b2 – 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.

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.

MIND MAP ACTIVITY

STUDENTS DELIVERABLES:-
• 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.
EXTENDED LEARNING:-

Students can extend their learning through the RESOURCE CENTRE and can find more valuable and interesting concepts on mathematics at  cbsemathematics.com

ASSESSMENT TECHNIQUES:-
Assignment sheet will be given as home work at the end of the topic. Separate sheets which will include questions of logical thinking and Higher order thinking skills will be given to the above average students.
Class Test , Oral Test , worksheet and Assignments can be made the part of assessment.
Re-test(s) will be conducted on the basis of the performance of the students in the test.

FEEDBACK:
All those students who performed well will be appreciated positively, and all those who can not perform up to the mark will again be given some important tips, guidance and  positive motivation to go through the topic again and then re-evaluated again. If possible then provision of remedial classes can be made for batter results.

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1. 2. excellent work

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