Different branches of mathematics in our maths till 12class

                         Mathematics

There are mainly 6 brances of mathematics

1. Arithmetic

2. Algebra

3. Geometry

4. Trigonometry

5. Analysis

6. Statistics





Lesson plan of chapter 12(introduction to three dimensional geometry) class 11 ncert maths

                           Lesson plan 

Class:-11th         Sub.:- Maths      Date

Chapter:-12(Introduction to Three Dimensional Geometry)


Overview:-8 periods+2periods

Details of subtopics:-

1. Introduction about Three Dimensional Geometry.

2. Coordinate Axes and Coordinate Planes in Three Dimensional Space.

3. Coordinates of a Point in Space.

4. Distance between Two Points.

5. Section Formula.

Educational objectives:-

1. Student will understand the concept of Three Dimensional Geometry and be able to implement these concept in their daily life.

2. Student will be able to find the Point in Three Dimensions.

3. They will understand the concept of Distance between Two Points in Three Dimensional Geometry.

Material:-Chalk, Duster, Board, Book, Classroom ,Formulae Book ,projector etc.

Engage:- To make the classroom environment suitable and to warm up students teacher will ask some question.

1. What is Axis?

2. What is the use of Axis?

3. How many Dimensions are required to draw any figure on a Board?

4. What is the difference between a square and a cube?

Announcement of topic:-After warm up teacher will announce the name of topic.

Explanation:-

1.Teacher will explain the topic by using laboratory method as well as inductive method. 

2.Teacher will  explain topic using real life  examples. He will also explain it by using Models of Three Dimensional Figure like Cube, Cuboid, Sphere etc.

Explore:-Students will explore their knowledge by doing some questions . •Teacher will give some examples to solve  and also give some important formulae related to Three Dimensional Geometry.

Elaborate:-In this session the assignment sheet will be given as home work at the end of the topic and separate sheets which will include questions of logical thinking and Higher Order Thinking skills based questions will be given to the above average students.

Recapitulate:- Teacher will revise the important  points related to the chapter.

Evaluation:-

1. Teacher  will  ask the students to try questions from  exercise.

2. The oral test or written test will be conducted to evaluate the student’s knowledge.

Sign of teacher                                                      sign of HOD

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Lesson plan of chapter -10(straight line ) class 11 ncert maths

                        Lesson plan 

Class:-11th                           Date

Sub.:- Mathematics                  Chapter:-10(Straight Lines)

Overview:-8 periods+2periods

Details of subtopics:-

1. Introduction about Straight Lines.

2. Slope of a Line.

3. Various forms of the equation of a Line .

4. General equation of a Line.

5. Distance of a point from a Line.

Educational objectives:-

1. Student will understand the concept of Straight Lines and be able to implement these concept in their daily life.

2. Student will be able to find the Slope of line and be able to find the equation of a line.

3. They will understand the concept of Distance of a point from a Line.

Material:-Chalk, Duster, Board, Book, Classroom ,Formulae Book etc.

Engage:- To make the classroom environment suitable and to warm up students teacher will ask some question.

1. What is coordinate Axis?

2. What is coordinate Plane?

3. What is the difference between curve and Line?

Announcement of topic:-After warm up teacher will announce the name of topic.

Explanation:-

1.Teacher will explain the topic by using laboratory method as well as inductive method. 2.Teacher will  explain topic using real life  examples. He will also explain it by using Graphical method.

Explore:-Students will explore their knowledge by doing some questions . Teacher will give some examples to solve  and also give some important formulae related to straight Lines.

Elaborate:-In this session the assignment sheet will be given as home work at the end of the topic and separate sheets which will include questions of logical thinking and Higher Order Thinking skills based questions will be given to the above average students.

Recapitulate:- Teacher will revise the important  points related to the chapter.

Evaluation:-

1. Teacher  will  ask the students to try questions from  exercise.

2. The oral test or written test will be conducted to evaluate the student’s knowledge.

Sign of teacher                                                      sign of HOD

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Lesson plan chapter -8(application of integrals) class 12th

                          Lesson plan    

Class:-12th                    Date

Sub. :- Mathematics      Chapter:-8(Application of Integrals)

Overview:- 3periods+1 periods

Details of subtopics:-

1. Introduction about application of Integrals.

2. Area under simple curve using integrals.

3. Area between two curves using Integrals.

Educational objectives:-

1. Student will understand the concept of Integrals and be able to implement these concept in their daily life.

2. Student will be able to find the Area between any curves using Integrals.

Material:-Chalk, Duster, Board, Book, Classroom , Formulae Book etc.

Engage:- To make the classroom environment suitable and to warm up students teacher will ask some question.

1. What is an Integral?

2. What is the Integral value of any functions like trigonometric, polynomial, logarithmic and exponential functions?

3. Name of different  types of functions ?

Announcement of topic:-After warm up teacher will announce the name of topic.

Explanation:-

1. Teacher will explain the topic by using laboratory method as well as inductive method. 

2. Teacher will  explain topic using real life  example. He will also explain the uses of Integrals and it's different rules and formulae to solve Integration of any function.

Explore:-Students will explore their knowledge by doing some questions. •Teacher will give them some examples to solve and also give some important formulae related to Integrals.

Elaborate:-In this session the assignment sheet will be given as home work at the end of the topic and separate sheets which will include questions of Logical Thinking and Higher Order Thinking skills based questions will be given to the above average students.

Recapitulate:- Teacher will revise the important  points related to the chapter.

Evaluation:-

1. Teacher will  ask the students to try questions from the  exercise.

2. The oral test or written test will be conducted to evaluate the student’s knowledge.

Sign of teacher                                                      sign of HOD

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Lesson plan of chapter -7(integrals) class 12th NCERT

                             Lesson plan

class:- 12th              Date

Sub. :- Mathematics                                            Chapter:-7(Integrals)

Overview :- 12 periods+3 periods

Details of subtopics:-

1. Introduction about Integrals.

2. Methods of integration.

3. Integration of some particular functions.

4. Integration by partial fractions.

5. Integration by parts.

6. Fundamental theorems of calculus.

7. Definite integrals and it's properties.

Educational objectives:-

1. Student will understand the concept of Integrals and be able to implement these concept in their daily life.

2. Student will be able to find the Integral value of different functions like trigonometric, polynomial, log, exponential function etc

Material:-Chalk, Duster, Board, Book, Classroom , Formulae Book etc.

Engage:- To make the classroom environment suitable and to warm up students teacher will ask some question.

1. What is derivative?

2. What is the use of derivative?

3. Name of different type of functions?

4. Name the inverse process of differentiation.

Announcement of topic:-After warm up teacher will announce the name of topic.

Explanation:-

1.Teacher will explain the topic by using laboratory method as well as inductive method.

2.Teacher will  explain topic using real life  examples . he will also explain the uses of Integrals and it's different rules and formulae to solve Integration of any function.

Explore:-Students will explore their knowledge by doing some questions . Teacher will give some examples to solve  and also give some important formulae related to Integrals.

Elaborate:-In this session the assignment sheet will be given as home work at the end of the topic and separate sheets which will include questions of logical thinking and Higher Order Thinking skills based questions will be given to the above average students.

Recapitulate:- Teacher will revise the important  points related to the chapter.

Evaluation:-

1. Teacher  will  ask the students to try questions from  exercise.

2. The oral test or written test will be conducted to evaluate the student’s knowledge.

Sign of teacher                             sign of HOD

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Lesson plan chapter 13(surface area and volume) NCERT class 10th

                      Lesson plan 

             Class:- 10th                 Date

Sub. :-Mathematics   

Chapter:-13(Surface area and Volume)


Overview:- 4 periods+1 periods

Details of subtopics:-

1. Surface area and volume of Cube.

2. Surface area and volume of Cuboid  .

3. Surface area and volume of Cylinder .

Educational objectives:-

1. Student will  understand the concept of measurement of surface area and volume of solid and be able to implement these concept in their daily life.

2. Student will be able to find the difference between curved surface area and total surface area.

Material:-Chalk, Duster, Board, Book, Classroom, Model of cube, cuboid and cylinder etc.

Engage:- To make the classroom environment suitable and to warm up students teacher will show models of Cube, Cuboid and Cylinder and put  some question related to models like.

1. What is a square? 

2. How many squares are present in a cube?

3. What is a rectangle?

 4. How many Rectangles are present in a Cuboid ?

5. What is a circle?

6. How many Circles are present in a cylinder? 

Announcement of topic:-After warm up teacher will announce the name of topic.

Explanation:-Teacher will explain the topic by using laboratory method as well as inductive method. Teacher will also explain topic using real life examples in the classroom .

Explore:-Students will explore their knowledge by doing some questions . •Teacher will give them some solids like eraser, cubical box etc of different lengths to find their surface area and volume.

Elaborate:-In this session the assignment sheet will be given as home work at the end of the topic and separate sheets which will include questions of logical thinking and Higher Order Thinking skills based questions will be given to the above average students.

Recapitulate:- Teacher will revise the important  points related to the chapter.

Evaluation:-

1. Teacher will  ask the students to try questions from the  exercise.

2. The oral test or written test will be conducted to evaluate the student’s knowledge.

Sign of teacher                                                    sign of HOD

Click here to download pdf 

Lesson plan of chapter 10(circle ) class 9 NCERT

                    Lesson plan 

                          Class:-9th   

 Sub.:-Mathematics     

 Chapter:-10(circles)       Date:  

Overview:-12periods+1period

Details of subtopics:-                                                                                                               1.Introduction of circles.                 

2.Introduction about line,arc and angles.         

3.Intro about chord.                        

4.Application of chord.                            

5.Angle subtended by an arc of a circle.           

6Cyclic quadrilaterals.


Educational objectives: Students will be able to:                                                               1.Define circle and related concepts like radius, circumference, diameter, chord, arc, secant, sector, segment, subtended angle etc.                                           

2. Prove the theorems of circle like:-Equal chord of a circle subtend equal angles at the center and its converse.   

                      

Material:-chalk, duster, board, book etc.


Engage: - To make the classroom environment suitable and to warm up students teacher will ask some questions.

1. What is a circle?

2. What is a chord?

3. What is segment and sector?


Announcement of topic:-After warm up teacher will announce the name of topic. 


Explanation:-Teacher will explain the topic by using laboratory method as well as inductive

method. Teacher will also explain topic using example in the classroom.


Explore:-Students will Explore their knowledge by doing some question .Teacher will give some examples of circles of different radii.


Elaborate:-In this session the assignment sheet will be given as home work at the end of the topic and separate sheets which will include questions of logical thinking and higher order thinking skill will be given to the above average students.


Recapitulate: Teacher will revise the important points related to the chapter.


Evaluate:-

1. Teacher will ask the students to try questions from exercise.

2. The oral test or written test will be conducted for secure the students knowledge.



Sign of Teacher                                        

 Sign of HOD

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