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