11/12/15

lesson plan on trigonometry



SUBJECT: MATHEMATICS          CLASS: X                 SECTION: (A+B)    
SYLLABUS TO BE COVERED FROM: 16/11/2015 TO 30/11/2015 
TOPIC: Height and Distances (Application of Trigonometry)
CONTENT: The aim of the topic is to develop the fallowing concept about the Trigonometry.
·       Introduction of trigonometry based on the concept learnt in the previous year  and bridging the gap if necessary
·       Geometrical interpretation of trigonometric ratios
·       Etymology of Trigonometry.
·       Linking the concept of trigonometry and geometry to discover values of multiple angles
·       Concept of Height and distance with special reference  to the Pythagoras triangle and height as perpendicular where as base as distance.
·       Drawing the figure and transfer the data of the word problem into a known Pythagorean triangle, location of angle and its corresponding sides.
INSTRUCTIONAL OBJECTIVES:   pupils will be made to know about 
·        New terms found in the topic.
·       To read the problem, analyze critically and transform the data as right angled triangle then find the solution to the given words problem.
·       To develop the skill of transforming the given statement into right angled triangle hence apply the concept of trigonometry to solve the day to day life problems as and when they come across .
·       Definition of angle of elevation, and angle of depression,
·       To develop the skill of identifying reference angle, object and its angle of elevation/angle of depression.
TEACHING AIDS TO BE USED:
        To reinforce the concept for ever in the pupil’s mind the fallowing teaching aids can used.
·       A chart of right angled triangle, highlighting such as Base, opposite side and Hypotenuse to reinforce the concept for ever among young children.
·       Interpret the concept of angle of elevation Geometrically and analyze the data with statement hence find the solution to the given problem
·       Interpret the concept of angle of Depression  Geometrically and analyze the data with statement, hence find the solution to the given problem
·        Power point presentation to be shown in smart room.

INNOVATIVE  PRACTICE TO BE USED

Pupils will be divided into sub groups of four members in each group and question on each concepts learnt in the above topic has to be supplied after the completion of topic instructed the pupils to solve by discussion and to come out with solution.

LABORATORY ACTIVITY TO BE CONDUCTED

Each four members group of pupil were instructed to discuss the problem assigned and perform the activity to get more enthusiasm in teaching learning process for ever.
·       To  find the height of a building/water tank/tower /electric pole /top of the tall tree, using clinometer
·       To  list out figures  of day to day life situation based on the concept of angle elevation identify the reference  angle , opposite side and base,  
·       To list out every day examples to be used for angle of elevation /depression.
·        

PROJECT TO BE INITIATED

1)    To study the distance between different of a geometrical figures when it is displaced/rotated. Enhance the familiarity with coordinate geometry. 

2)    Representation of Golden quadrilateral plan of action from India map  and its location in coordinate axis and hence study the cost of expenditure for construction of Golden quadrilateral connecting the important cities of India (cross curricular project linking the concept of literature , English, Social science, science Mathematics. And special reference to the Mines, and minerals available around the Golden quadrilateral,)  

3)    Each group of pupils will directed to prepare power point presentation on the topic Coordinate Geometry and its use in day to day life situation.

ASSIGNMENT/HOME WORK TO BE GIVEN

To have thorough understanding of knowledge about the topic and supplement the concept learnt in the class room the fallowing methods can be adopted.
·       Problems assigned by the teacher
·       Problems other than text book.
·       Problems collected from reference book
·       Problems asked in CBSE sample papers

EXPECTED BEHAVIORAL OUTCOME OF THE TOPIC
After the rigorous practice and successful completion of the topic pupils able to
Ø Recall the concept learnt in the previous years
Ø Understand the different methods to solve problems of  Coordinate Geometry.
Ø Apply the knowledge to solve problems of daily life situation as and when they come across.
Ø To link the concept to higher class problems
Ø  To develop the spirit of solving the problems based on the HOTS.
Ø Analyze the critical situation and take decision to solve.
METHODS OF EVALUATION FOR THE TOPIC  COVERED 
To know the understanding level of the topic taught one among the fallowing method can be adopted
v Through the interaction in the class room situation.
v Through oral test.
v Through class test
v Through assignments
v  Quiz question.
v Through project
v Home work,
STATUS OF THE COMPLETION OF THE PREVIOUS PORTION
·       Completed
·       Not completed
 SUB TEACHER                     VICE- PRINCIPAL                     PRINCIPAL.         

Lesson Plan on Quadratic Equation



SUBJECT: MATHEMATICS          CLASS: X                 SECTION: (A+B)    
SYLLABUS TO BE COVERED FROM: 1/11/2014 TO 15/11/2014 
TOPIC: QUADRATIC EQUATIONS
CONTENT: The aim of the topic is to develop the fallowing concept about  the quadratic equation.
·       Introduction of quadratic equation based on the concept learnt in the previous year  and bridging the gap if necessary
·       Defining the quadratic equation.
·       Factorization of the quadratic equation
·       Solution of the quadratic equation by factorization method.
·       Solution of the quadratic equation by completing the square
·       Solution of the quadratic equation by formula method.
·       Testing the nature of roots of the quadratic equation.
·       Solution by graphical method.
·       Words problems to be used in day to day life situation.
INSTRUCTIONAL OBJECTIVES:   pupils will be made to know about  
·        New terms found in the topic.
·       Concept of the quadratic equation and its standard form.
·       Testing the nature of equation by discriminant method.
·       Different methods of finding the roots of the quadratic equation.
·       Framing the quadratic equation using the given statement.
·       How to draw the graph of quadratic equation and hence to find its zeroes.
TEACHING AIDS TO BE USED: To reinforce the concept for ever in the pupil’s mind the fallowing teaching aids can used.
·       Model of quadratic equation solver  will be used to find the roots of the given quadratic equation when coefficient of x2 is unity.
·       Identifying roots of the quadratic equation by curve sketching.
·       Studying the parabolic curve and finding the zeroes.
INNOVATIVE  PRACTICE TO BE USED
Divide the pupils into sub groups consist of four members provide the questionnaire to them along with model/chart/table/curve sketching etc so that to use the models to get zeroes of the quadratic equation found in the questionnaire, let them discuss and solve the problems pertaining to quadratic equation. Pupils will be directed to solve the problem by using different method learnt in the above topic and  The group which has come with correct answer and enable to demonstrate the zeroes of given quadratic equation both  experimentally and as well as induction hypotheses is to be awarded the ranks.
LABORATORY ACTIVITY TO BE CONDUCTED
Each four members group of pupils were instructed to discuss the problem assigned and perform the activity to get more enthusiasm in teaching learning process for ever.
·       To identify the zeroes of the given quadratic equation by sketching the curve and straight line..
·       Reading the zeroes of the given quadratic equation by inspecting the curve.
·       To prepare the playing cards of squares and rectangle of given quadratic equation and arrange them to fit them so as to obtain factors and hence to get zeroes.
·       Verify the roots of quadratic equation by experimental method and also by formula method.
·       Checking the nature of given sets of quadratic equation by discriminant method 


 PROJECT TO BE INITIATED

Each group of pupils was instructed to generate problems of quadratic equation and hence find the solution by arranging the cards so prepared using the concept of squares and rectangles, then to submit the pack of cards so prepared to mathematic laboratory. Or finding the nature of existence of roots of quadratic polynomial by sketching curves.
                                      Or
Construction of working models to find the roots of quadratic equation and submit the same to mathematics laboratory.
                                    Or
Each group of will directed to prepare power point presentation of particular method of finding zeroes
                                Or
The group will be directed to prepare quiz questioner using power point presentation.
ASSIGNMENT/HOME WORK TO BE GIVEN

To have thorough understanding of knowledge about the topic and supplement the concept learnt in the class room the fallowing methods can be adopted.
·       Problems assigned by the teacher
·       Problems other than text book.
·       Problems collected from reference boock
·       Problems asked in CBSE sample papers
EXPECTED BEHAVIORAL OUTCOME OF THE TOPIC
After the rigorous practice and successful completion of the topic pupils able to
Ø Recall the concept learnt
Ø Understand the types different methods to solve quadratic equation.
Ø Apply the knowledge to solve problems of daily life situation as and when they come across.
Ø To link the concept to higher class problems
Ø  To develop the spirit of solving the problems based on the HOTS.
Ø Analyze the critical situation and take decision to solve.
METHODS OF EVALUATION FOR THE TOPIC COVERED 
To know the understanding level of the topic taught one among the fallowing method can be adopted
v Through the interaction in the class room situation.
v Through oral test.
v Through class test
v Through assignments
v  Quiz question.
v Through project
v Home work,
 STATUS OF THE COMPLETION OF THE PREVIOUS PORTION

·       Completed
·       Not completed

 SUB TEACHER          VICE- PRINCIPAL                     PRINCIPAL.