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Lesson Plan Math Class X (Ch-8) | Trigonometry
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Board - CBSE |
CLASS –X |
SUBJECT- MATHEMATICS |
CHAPTERS 8 & 9 :- Trigonometry and
applications of trigonometry |
- Concept of right angled triangle,
- Pythagoras theorem,
- Algebraic Identities.
Green Board, Chalk, Duster, Charts, smart board, laptop, projector etc.
- Introduction, and basic formulas of trigonometry.
- Problems based on basic formulas.
- Values of trigonometric ratios on standard angles 0^{o},30^{o}, 45^{o}, 60^{o}, 90^{o}
- Trigonometric transformations in first quadrant.
- Trigonometric identities and their applications in different problems.
- Applications of trigonometry in day to day life (Heights and distances).
S.NO. |
TOPIC |
1 |
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). |
2 |
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. |
3 |
TRIGONOMETRIC FUNCTIONS WITH STANDARD ANGLE Now teacher will explain the
method of finding the values of trigonometric functions with the standard
angle (0^{o}, 30^{o}, 45^{o}, 60^{o}, 90^{o})
and explain to the students , the implementation of these formulas in
different problems. Teacher will also provide
sufficient problems to the students for practice. |
4 |
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 |
5 |
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. |
6 |
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. |
7 |
Now teacher will explain the Application of trigonometry in the problems like heights and distances or on complex daily life problems. |
- 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.
- 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.
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