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Lesson Plan Math Class X (Ch-8) | Trigonometry
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TEACHER : DINESH KUMAR | SCHOOL : RMB DAV CENTENARY PUBLIC SCHOOL NAWANSHAHR |
SUBJECT : MATHEMATICS | CLASS : X STANDARD BOARD : CBSE |
LESSON TOPIC / TITLE : CHAPTER 8 & 9: Trigonometry and applications of trigonometry | ESTIMATED DURATION: This lesson is divided into eight modules and it is completed in 15 class meetings. |
- Concept of right angled triangle,
- Pythagoras theorem,
- Algebraic Identities.
- 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).
- 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.
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).
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.
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.
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
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.
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.
Now teacher will explain the Application of trigonometry in the problems like heights and distances or on complex daily life problems.
- 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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Nice presentation
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