E- LESSON PLAN SUBJECT MATHEMATICS CLASS 10
lesson plan for maths class 10 chapter 8 & 9 Trigonometry and application of trigonometry, lesson plans for mathematics teachers, Method to write lesson plan for maths class 10, lesson plan for maths in B.Ed.
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Board - CBSE
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CLASS –X
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SUBJECT- MATHEMATICS
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CHAPTERS 8 & 9 :- Trigonometry and
applications of trigonometry
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TOPIC:-
Chapter 8
& 9 Trigonometry and Application of Trigonometry
DURATION:-
These
topics are divided into seven modules and are completed in ten class meetings.
PRE-
REQUISITE KNOWLEDGE:-
TEACHING
AIDS:-
Green Board, Chalk, Duster,
Charts, smart board, laptop, projector etc.
METHODOLOGY:- Demonstration
and Lecture method.
OBJECTIVES:-
- Introduction, and basic formulas of trigonometry.
- Problems based on basic formulas.
- Values of trigonometric ratios on standard angles 0o,30o,
45o, 60o, 90o
- Trigonometric transformations in first quadrant.
- Trigonometric identities and their applications in
different problems.
- Applications of trigonometry in day to day life
(Heights and distances).
Lesson Plan For CBSE Class 10 (Chapter 8) For Mathematics Teacher
PROCEDURE
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Start the
session by checking their previous knowledge, by asking the questions related
to the right angled triangle, Pythagoras theorem and algebraic identities.
After this explain the topic to the students.
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S.NO.
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TOPIC
[Complete Explanation]
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1
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Introduction
Teacher
will start the session by asking some questions about different types of
triangles, then explain the properties of right angled triangle and the Pythagoras
theorem.
(Hypotenuse)2
= (Base)2 + (Perpendicular)2
Now
teacher will introduce the topic Trigonometry.
Trigonometry
is the branch of mathematics dealing with the relations of the sides and
angles of triangle.
Trigonometry
is the word made up of two Greek words, Trigonon and metron. Trigonon means
triangle and metron means to measure. So trigonometry means to measure the
sides and angles of a triangle.
In
trigonometry there are six functions of angles, they are named as sine (sin), cosine (cos), tangent (tan),
cotangent (cot), secant (sec), cosecant (cosec).
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2
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Trigonometric ratios
Now
teacher will explain the relationship between the six trigonometric
functions, angles and sides of a right angled triangle
Teacher
will also explain all these relations with the help of some problems.
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3
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TRIGONOMETRIC FUNCTIONS WITH STANDARD ANGLE Now teacher will explain the
method of finding the values of trigonometric functions with the standard
angle (0o, 30o, 45o, 60o, 90o)
and explain to the students , the implementation of these formulas in
different problems.
Teacher will also provide
sufficient problems to the students for practice.
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4
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TRANSFORMATION OF
TRIGONOMETRIC FUNCTIONS
Now
teacher will explain the transformations of trigonometric functions as
follows
sin(90 -
θ) = cosθ,
cos(90 - θ) = sinθ,
tan(90 -
θ) = cotθ,
cot(90 - θ) = tanθ,
sec(90 -
θ) = cosecθ,
cosec(90 - θ) = secθ
Teacher
will also explain the implementation of these ratios in different problems
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5
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INTRODUCTION OF TRIGONOMETRIC IDENTITIES
Now
teacher will explain the method of finding the trigonometric identities and
will also solve some questions on the board so that students become familiar
with the method of implementation of these identities
Teacher
will also assign some problems to the students for practice.
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6
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APPLICATIONS OF TRIGONOMETRY
Now
teacher will explain the different situations in which trigonometry can be
implemented.
In
order to cover this topic teacher will explain the Angle of Elevation, Angle
of Depression and explain these by apply trigonometry in simple and daily
life problems.
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7
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Now teacher will explain the Application
of trigonometry in the problems like heights and distances or on complex
daily life problems.
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EXPECTED
OUTCOMES:-
After
studying this lesson students should know
- All six types of trigonometric functions.
- Relationships between trigonometric functions, angles and sides.
- Values of trigonometric functions with standard angles.
- Transformations of trigonometric functions.
- Trigonometric Identities and their Implementations.
- Method of solving the problems with the help of trigonometry.
STUDENTS
DELIVERABLES:-
- Review questions given by the teacher.
- Students
should prepare the presentation on the trigonometric identities.
- Solve N.C.E.R.T. problems with examples.
- Solve assignment given by the teacher.
EXTENDED LEARNING:-
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 , Assignments(For Chapter 8) and Assignment (For Chapter 9) 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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