This document provides a lesson plan for teaching 9th grade mathematics students about arcs and complementary arcs. It includes an introduction engaging students with a passing message game played in a circle. This game helps students understand that there are two paths or sections between the same end points of a circle, known as an arc and its complementary arc. The lesson aims to help students acquire knowledge and understanding of arcs and complementary arcs, and be able to accurately perform calculations related to circles.

1. INNOVATIVE TEACHING
MANUAL

2. Name of the Teacher: VIJI V S Std: 1X
Name of the school: G H S S For Girls Venganoor Div: E
Subject: Mathematics Strength: 30
Unit: Circles Duration: 45 min
Topic: Arc & Complementary Arc Date:
CURRICULAR STATEMENT
Pupil are made aware of the concept of arc and
complementary arc through discussion, explanation & observation.
CONTENT ANALYSIS
Fact: Arc and complementary arc forms a complete circle.
Concept: Concept of arc.
Concept of complementary arc.
Learning Outcomes: The pupil will able to
i. Acquire knowledge about arc and
complementary arc.
ii. Develops understanding about
above mentioned facts and
concepts.
iii. Appreciate the beauty of arc.
iv. Perform mathematical calculations
accurately.
Pre-requisites: Circle, Angles, Directions.
Teaching learning resources: Common classroom aids.

3. Learning Experience Students Response
Introduction
Teacher asks, “Do you like to wear
bangles?”
Then what is the shape of bangles?
Very Good..!!!
Then What all things do you know
about circle?
Very Good...!!
What is the relation between radius
and diameter?
Very Good..!!!
So today we are dealing with a new
feature of a circle. Let’s see what is it?
Presentation
Let’s play a game. Are you all familiar
with the game passing the message?
Teacher calls 10 students and ask them
to form a circle and teacher select a
student as centre and ask her to stand
at centre.
Do you know the rule of this game?
I will explain the way how to play this
game.
Students answered yes.
Students responded circle.
Students replied circle has no end
points, it has a radius and diameter.
Students answered diameter=2*radius.
Students answered yes.
Students answered yes.
Students do like that.
Students answered yes.

4. Teacher asks the student to join the
hands and form a circle. Students do
not leave their hands. Leader stands in
the middle. One student in the circle
should initiate the game by pressing
the hand of other without the
knowledge of leader and this continues
till the leader says, ”Stop”. Now the
person standing in the middle should
identify the person who started and
ended. If she guesses correctly they
will be out from the game.
Let’s start. Teacher asks to start the
game.
When the first section ends teacher ask
the leader to identify the person who
started and ended.
Teacher said, ’’Very Good..!”
Teacher asks the leader “can you tell
the direction in which the message is
moved?”
Teacher asks “Is there any alternative
path...?”
Teacher said “Good...!!”
Teacher explains there are two paths
with same end points, isn’t it?
Students play the game as teacher told.
Leader guesses correctly.
Leader answered the path.
She answered correctly.
Students answered yes.

5. Now we can say it as two parts of
circles, Arc and complementary arc. It
is a bow like structure with same end
points.
Teacher draws a circle on the black
board.
A B
ccccc
Teacher asks to identify the arc &
complementary arc?
Teacher appreciates and teacher
explains that arc & complementary arc
makes a complete circle.
Students answered AB is the arc & the
shaded portion is its complementary
arc.