Lesson Plan, Class IX (Ch-2) For Mathematics Teacher

E- LESSON PLAN   SUBJECT MATHEMATICS    CLASS IX

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Board – CBSE	CLASS –IX	SUBJECT- MATHEMATICS
CHAPTER 2  :- Polynomials

TOPIC:-

Chapter:-  2: Polynomials

DURATION:-  

This lesson is divided into eight modules and it is completed in twenty three(23) class meetings.

PRE- REQUISITE KNOWLEDGE:-

All definitions and important terms related to the polynomials class VIII.

Concept of algebraic expressions, and algebraic identities.

TEACHING AIDS:- 

Green Board, Chalk,  Duster, Charts, smart board, projector and laptop  etc.

METHODOLOGY:- 

Demonstration and Lecture method

OBJECTIVES:-

• Definition of polynomial in one variable, with examples and counter examples

• Coefficients of polynomial, terms of polynomial and zero polynomial.

• Degree of polynomial, constant, linear, quadratic and cubic polynomials.

• Monomials, binomials and trinomials. Factors, multiples and zeroes of polynomials.

• Motivate and state the remainder theorem with examples. Statement and proof of factor theorem.

• Factorization of  ax² + bx + c,  a ≠ 0  where a, b, c are real numbers and factorization of cubic polynomial by using factor theorem.

• Algebraic expressions and identities, verification of some identities and their use in the factorization of the polynomials

PROCEDURE :-

Start the session by checking their previous knowledge, by asking the questions of different types of algebraic expressions their degree and their terms. Now introduce the topic polynomial step by step as follows.

S. No	Topic [Click Here for complete Explanation]
1	First of all give the definition of polynomial and explain the difference between the algebraic expression and polynomial. Give some examples so that students can easily predict the polynomials
2	Now explain the different parts of polynomials i.e. the coefficients, the terms and the degree of the polynomials.
3	Explain the zero polynomial and nature of its zero. Also explain different types of polynomials on the basis of their degree i.e. linear (degree 1), quadratic (degree 2), cubic (degree 3) and bi-quadratic polynomials.
4	Explain the different types of polynomials on the basis of their terms, i.e. monomials(1 term), binomial(2 terms), trinomials(3 terms)
5	Define zeroes of polynomial and explain the method of finding zeroes of polynomial.
6	State the Remainder theorem and explain the method of finding the remainder without actual division of two polynomials.
7	State the Factor theorem, and give its proof. Factorize the quadratic and cubic polynomials by using factor theorem.
8	Explain about ten algebraic identities to the students and explain  the method of factorizing the polynomials by using algebraic identities. Proof of identities like. (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx (x 土 y )3 = x3 土 y3 土 3xy (x 土 y) x3 土 y3 ) = (x 土 y)(x2 + y2  干 xy) x3 + y3 + z3 - 3xyz = ( x + y + z )( x2 + y2 + z2 – xy – yz – zx )

EXPECTED OUTCOMES:-

After studying this lesson students will be able  to differentiate between algebraic expression and polynomials, types of polynomials on the basis of terms and on the basis of their degrees, zeroes and coefficients of polynomials, remainder and factor theorem and at least ten algebraic identities.

STUDENTS DELIVERABLES:-

 Review questions given by the teacher. Students can prepare presentation on different algebraic identities. Solve NCERT problems with examples, solve assignment given by the teacher.

EXTENDED LEARNING:-

Students can extend their learning by studying basic concepts and formulas of mathematics through the Resource Centre Mathematics and can find interesting topics on mathematics at the site  https://www.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 Assignment. 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.

PDF Format of Lesson Plan Class IX

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