Lesson Plan Math Class IX Ch-4 | Linear equations in two variables

E- LESSON PLAN FOR CLASS IX FOR MATH TEACHER

Lesson plan for mathematics class IX, chapter 4, linear equations in two variables. cbse lesson plans for mathematics teachers,  Method to write lesson plan for maths class 9,  lesson plan for mathematics grade IX, lesson plan for maths teacher in B.Ed.

Board – CBSE	CLASS –IX	SUBJECT- MATHEMATICS
CHAPTER 4 : Linear equations in two variables

TOPIC:-

Chapter:-  4 : Linear equations in two variables

DURATION:-  

This lesson is divided into seven modules and it is completed in fourteen  class meetings.

PRE- REQUISITE KNOWLEDGE:-

• Knowledge of linear equations in one variable.

• Knowledge of Cartesian coordinate system.

• Knowledge of representing the points in the coordinate system.

TEACHING AIDS:- 

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

METHODOLOGY:- 

Demonstration and Lecture method

OBJECTIVES:-

• Recall of linear equations in one variable.

• Introduction to the equation in two variables.

• Focus on the linear equation of the type ax + by + c = 0.

• Explain that a linear equation in two variables has infinitely many solutions.

• Justify the above point by finding different ordered pairs and plotting then and showing that they lie on a line.

• Graph of linear equations in two variables.

• Examples, problems from real life, including problems on ratio and proportion.

• Algebraic and graphical solutions of linear equations in two variables.

• Method of finding equation parallel to the x- axis or parallel to y- axis.

PROCEDURE :-

Teacher will ask the class about the meaning of word ‘Linear equations in one variable’ and Cartesian coordinate system. 
After getting the different answers from the class, Teacher himself explains the meanings , definition and explanations step by step as follows.

S. No	Topic
1	Linear equations in on variable: An equation with one variable and with degree one is called linear equation in one variable.  For example : ax + b = 0,    x + 3 = 0,   5y – 10 = 0
2	Linear equations in two variables: An equation with two variables and with degree of each variable = 1 is called linear equation in two variables. Example  4x + 3y = 0 General linear equation in two variable is  ax + by + c = 0,   Here a is the coefficient of x, b is the coefficient of y and c is the constant term.
3	Solutions of linear equations in two variables Graph of linear equation in two variable is a straight line and on a straight line there are infinitely many points.  Each point on the straight line  is the solution of that equation. So linear equation in two variable has infinitely many solutions. More over in a linear equation in two variable for every value of x we get unique value of y and vice-versa. Hence linear equation in two variables has infinitely many solutions.
4	To find the solution of linear equation in two variables i) Let us take an example of equation 3x + 4y = 12 ii) From this equation either find the value of x or y iii) Take only those values of y with which 3 can be cancelled        If y = 0, then x = 4        If y = 3, then x = 0        If y = - 3, then x = 8        If y = 6, then x = - 4   and so on iv) Write these points in a box   X 4 0 8 -4 y 0 3 -3 6 Similarly we can find infinitely many solution of the equation
5	To check whether a given point lie on the line or not Let us take an equation of line  2x + 5y = 8 We want to check whether point (2, -2) lie on this line or not. In the above equation putting x = 2 and y = -2 we get 2 x 2 + 5 x -2 = 8 4 - 10 = 8 - 6 ≠ 8 LHS ≠ RHS Point (2, -2) does not lie on the given line If we get the result LHS = RHS then the given point lie on the given line.
6	Graph of linear equation in two variables Let us take a line 3x + 4y = 12, whose graph is to be made. First of all find at least three points on the line according to the method explained in point 4 Now plot these point in the Cartesian plane. Join all these points with the help of scale so that the line which touches all the points is become a straight line.
7	Equation of line parallel to x-axis and parallel to y- axis Let us suppose an example  5x-10=0 5x =10  ⇒ x = 2 In one variable : x = 2 simply represented on a straight line. In two variables : x = 2 is a line parallel to y-axis Similarly y = 3 is a line parallel to x - axis

EXPECTED OUTCOMES:-

• After studying this lesson students will be able  to understand the concept of linear equation in one variable and linear equation in two variables. 

• Students should know the method of finding the points on the number line and able to draw its graph. 

• Students also know the representation of the number line in one variable and in two variables

STUDENTS DELIVERABLES:-

 Review questions assigned by the teacher.  

Solve NCERT problems with examples and some extra questions from the refreshers.

Students can prepare a project report or PPT on the basic concepts of pair of linear equations in two variables

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:- 

 At the end of the lesson a Class Test will be taken.

Re-test(s) will be conducted on the basis of the performance of the students in the test.

Worksheets and assignments should be given to the students.

Arrangement should be made for the oral test or quiz competitions.

PDF Format of Lesson Plan Class IX

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