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'''DEFINITION:''' part of a circumference of a circle
'''DEFINITION:''' part of a circumference of a circle
===Learning objectives===
===Learning objectives===
−
*The students should understand that an arc is a slice of a circle included between two radii of the circle.<br>
+
*The students should understand that an arc is a part of a circle included between two distinct points of the circle.<br>
*The students should understand the two types of arcs -minor arc and major arc. The larger arc is called a major arc and the smaller one is called minor arc.
*The students should understand the two types of arcs -minor arc and major arc. The larger arc is called a major arc and the smaller one is called minor arc.
===Notes for teachers===
===Notes for teachers===
−
Explain the concept of arc by drawing a circle and two radii within it. The part of the circle enclosed within and outside the two radii are called its arcs.
+
Explain the concept of arc by drawing a circle and two points on its circumference. The part of the circumference within the two points in either directions are called its arcs. Show the labelling of arcs.
===Activity No # 1===
===Activity No # 1===
−
Get a circular chapati. Cut out a slice by marking its radii and depict major and minor arcs.<br>
+
Get a circular onion ring. Cut out a piece by marking two points on it and depict major and minor arcs.<br>
This is a classroom individual activity.<br>
This is a classroom individual activity.<br>
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*'''Estimated Time''' : 10 minutes
*'''Estimated Time''' : 10 minutes
*Materials/ Resources needed
*Materials/ Resources needed
−
Chapatis, scissors and scale.
+
suitable onion rings, scissors.
*'''Prerequisites/Instructions, if any'''
*'''Prerequisites/Instructions, if any'''
−
The students should have prior knowledge of circle, circumference, radius and line segment.<br>
+
The students should have prior knowledge of circle and circumference.<br>
'''Instructions to the teacher:'''<br>
'''Instructions to the teacher:'''<br>
−
Instruct the children previous day to get circular chapatis.<br>
+
Instruct the children previous day to get circular onion rings.<br>
−
Instruct them to mark the center of circle by folding it twice over.<br>
+
'''Instructions to the students:'''<br>
'''Instructions to the students:'''<br>
−
Roll chapatis and cut using circular lids to get exact circle shape.
+
Mark any two points on the circumference of onion ring and cut to get two arcs.
*Multimedia resources
*Multimedia resources
*Website interactives/ links/ / Geogebra Applets
*Website interactives/ links/ / Geogebra Applets
*'''Process/ Developmental Questions'''
*'''Process/ Developmental Questions'''
*'''Evaluation'''
*'''Evaluation'''
−
Were the chapatis exact in circle shape.<br>
+
Were the rings exact in circle shape.<br>
−
Could the students mark its centre, radii and identify the major and minor arcs.
+
Could the students identify the major and minor arcs.
*'''Question Corner'''
*'''Question Corner'''
What is the longest arc of a circle which forms the circle called?<br>
What is the longest arc of a circle which forms the circle called?<br>
−
Can you distinguish major and minor arcs when the two radii involved are at 180 degrees.<br>
+
What are the arcs called when both major and minor arcs are of same size?<br>
===Activity No # ===
===Activity No # ===
{| style="height:10px; float:right; align:center;"
{| style="height:10px; float:right; align:center;"