Lesson Plan Math Class XI Ch-10 | Straight Lines

LESSON PLAN MATHEMATICS    CLASS 10+1

Lesson plan for math. class XI (Chapter 10) Straight Line, cbse lesson plans for mathematics teachers,  Method to write lesson plan for maths class 11, lesson plan for maths class XI, lesson plan for maths teacher in B.Ed.

RMB DAV CENTENARY PUBLIC SCHOOL NAWANSHAHR
NAME OF THE TEACHER				DINESH KUMAR
CLASS	XI	CHAPTER	10	SUBJECT	MATHEMATICS
TOPIC	STRAIGHT LINES			DURATION : 20 Class Meetings

PRE- REQUISITE KNOWLEDGE:-

Knowledge of coordinate geometry class X.

Knowledge of pair of linear equations in two variables.

TEACHING AIDS:- 

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

METHODOLOGY:-   Lecture method  and Demonstration.

OBJECTIVES:-

• Introduction and brief recall of two dimensional geometry from earlier classes.

• Shifting of origin.

• Slope of a line.

• Angle between two lines.

• Equation of lines parallel to the axis, point slope form of equation of line.

• Slope intercept form of equation of line, Two point form of equation of line.

• Intercept form of equation of line, normal form of equation of line, general equation of line.

• Equation of family of lines passing through the point of intersection of two lines.

• Distance of a point from a line.

EXPECTED OUTCOMES:

After studying this lesson student should know

1. The angle of inclination of the line , slope of the line, angle between the two lines, parallel, perpendicularity conditions of the line.

2. Collinearity conditions of three points.

3. Different forms of equation of line

4. Conversion of general form of equation of line into other forms of  equations of line.

RESOURCES

NCERT Text Book,
NCERT Exampler
Resource Material : Worksheets , E-content, Basics and formulas from (cbsemathematics.com)

KEY WORDS

Angle of inclination, slope, intercepts, Perpendicularity, Parallel lines

PROCEDURE :
[For Complete Explanation Click Here] 

Start the session by giving little introduction about the arrangements of the objects and its types.  Now introduce the topic Permutation and combination step by step as follows.

 Introduction: 

In earlier classes we have studied about the coordinate geometry. Coordinate geometry is the combination of algebra and geometry.

Teacher should explain the following formulas of coordinate geometry: Distance formula, section formula, mid - point formula, area of triangle, centroid of triangle and collinearity of three points.

Now teacher should explain the method of shifting the origin. How equation of line changes when the origin is shifted from one point to another.

Angle of inclination of a line: 

The angle θ made by the line l with positive direction of x-axis and measured anti clockwise is called the inclination of the line. Where    0^o ≤  θ  ≤  180^o .   
Angle of inclination of x-axis or any line parallel to x-axis is always 0^o.

Angle of inclination of y-axis or any line parallel to y-axis is always 90^o.

Slope of a line : 

If θ is the angle of inclination of a line then tanθ  is called the slope of the line. Slope of a line is denoted by m. Slope of x-axis is zero and the slope of y-axis is not-defined.

Slope of a line passing through two points

Let P(x₁, y₁), P(x₂, y₂) are two point on the line, then

* If slope of any line is m₁, then slope of any line perpendicular to it is (m₂)= -1/m , or

* Two lines are perpendicular to each other if product of their slopes is =-1

* Or Two lines are perpendicular to each other if :   m₁ x m₂ = -1

* Two lines are parallel if their slopes are equal.

* Three points A, B, C are said to be collinear if 

Slope of AB = Slope of BC = Slope of AC

Angle between two lines:

If m₁ and m₂ are the slopes of two lines intersecting each other at a point, then angle between them is given by

 

Various forms of equation of line:

Equation of the form  y = b, or y = -b is a line parallel to the x – axis.

Equation of the form  x = a, or x = -a is a line parallel to the y – axis.

Point Slope form of equation of the line

Equation of the line passing through the point P(x₁, y₁) and having slope m is given by  y - y₁  =  m(x - x₁)

Two Point form of equation of line

Equation of the line passing through the two points P(x₁, y₁) and Q(x₂, y₂)

 

Slope Intercept form of equation of line

If a line have slope m and y intercept c then equation of the line is

Y – c = m(x – 0)   or   y = mx + c

If a line have slope m and x intercept d   then equation of the line is

Y -0 = m(x-d)   or  y = m(x – d)

Intercept form of equation of line

 

Normal form of equation of line :     xcosθ + ysinθ = p

* Where p is the perpendicular distance of the line from the origin.

* Perpendicular distance of the line from the origin is called Normal.

* θ is the angle made by the normal with the positive direction of x – axis.

General Equation of the line

An equation of the form  Ax + By + C = 0 is called general equation of line. Where A and B are not zero simultaneously.

This general equation of the line can be converted into all the forms of equation of line. Teacher should explain all the forms on by one to the student.

Distance of a line from a point

Distance of a line  Ax + By + C = 0,     from a point (x₁, y₁) is given by

Teacher should help the students in the implementation of all these formulas in different problems.

STUDENTS DELIVERABLES:-

 1. Review questions given by the teacher.

2. Students should prepare the presentation individually or in groups on the basic concepts and formulas based on the topic Binomial Theorem.
 

3. Solve NCERT problems with examples.

EXTENDED LEARNING:-

Students can extend their learning in   through the Resource Centre Mathematics . Students can also find many interesting topics on mathematics at the site:  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.

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