There is perhaps nothing which so occupies the
middle position of mathematics as Trigonometry

– J.F. Herbart (1890)

– J.F. Herbart (1890)

__Lesson 1__**The Define Phase**

**1.11 Introduction:**

*Trigonometry is the study of relationships between the sides and angles of triangle. The word ‘trigonometry’ is derived from the Greek words ‘tri’ ((three),‘gon’ (sides) and ‘metron’ ( measure).*

**Purpose of the project:**

·
To develop a strong base in trigonometry
through a number of activities and lessons.

·
To gain practical experience of using trigonometry
in daily life situations

·
To determine the height of buildings, mountains,
trees and other very tall or distant objects

**Key challenges the project is aiming to address :**

·
How did ancient astronomers determined the
distances of the stars and planets from the Earth ?

·
How trigonometry is used for finding the heights
and distances of various objects, without actually measuring them ?

·
How trigonometric concepts are used in daily life ?

·
Investigate the application of trigonometry
in Science and technology

**Intended Learning Outcome:**

After the
project students should be able to :-

·
Find the area of a triangle when two sides and
included angle are given.

·
Find the elevation of sun at a particular time.

·
Use right triangle trigonometry and angle
measurements to calculate heights and distances.

·
Workout the curriculum based problems and textual
questions on their own. Develop a strong base on the concept of trigonometry.

·
Gain practical experience of using trigonometry in
daily life situations.

·
Understand application of trigonometry in
Science and technology.

**(1.12) Project Scope:**

**Class: X B**

**Subject**: Mathematics , Science, Social Science, English , Information technology.

**Self Skills:**

1. Collection and Compilation of Data .

2. Computational skill.

3. Research and Problem solving ability.

4. Working in a Peer Group.

5. Drawing Inference from the
observations.

6. Using Technology.

**Factors affecting Scope:**

·
Availability of resources like related
materials / books in the library

·
Access to Internet Connection

·
Time-factor.

**(1.13) Curriculum and Standards:**

Curriculum:
The NCERT syllabus prescribed by CBSE for class X

The
topics and standards related to this project are :

·
The trigonometric ratios

·
Line of sight

·
Angle of elevation and angle of depression

·
How to make and use a Clinometer.

·
Find the heights of tall objects in the school
campus

·
Application of trigonometry in finding heights and
distances

·
Applications of trigonometry in navigation, astronomy,
aviation and naval industries, land survey, oceanography and cartography
(creation of maps) Electronics, Statistics, Engineering,
Computer graphics