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− | [[File:arc.jpg|200px|right|link=]] | + | The part of the circumference within the two points in either directions are called its arcs.[[File:arc.jpg|200px|right|link=]] |
| === Objectives === | | === Objectives === |
| #The students learn that an arc is a part of a circle included between two distinct points on the circumference of the circle. | | #The students learn that an arc is a part of a circle included between two distinct points on the circumference of the circle. |
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| #They should know that arc is part of the circumference. | | #They should know that arc is part of the circumference. |
| ===Materials/ Resources needed=== | | ===Materials/ Resources needed=== |
− | White paper, pencil, compass, scale and colour pencils.
| + | * Digital : Computer, geogebra application, projector. |
| + | * Non digital : Worksheet and pencil, compass, strings |
| + | * Geogebra files : Arcs in a circle .ggb |
| | | |
| ===Process (How to do the activity)=== | | ===Process (How to do the activity)=== |
− | *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. | + | ** If the circle is divided into 2 parts? |
− | *Show the labelling of arcs. | + | ** How many arcs are formed? |
− | *Evaluation | + | ** Are the two arcs equal? |
| + | ** Establish minor arc(smaller arc) and major arc(larger arc) |
| + | ** Compare region enclosed by major arc and minor arc, which is larger? |
| + | ** Establish sector – major sector and minor sector |
| + | ** Animate the geogebra file to show a major arc becomes a minor arc. |
| + | ** If one is major arc, the other is a minor arc; can the two arcs be equal?What are they called? |
| + | ** How are the two points with respect to center of the circle when arcs are equal. |
| + | ** If the angle between the radii is fixed but radius of the circle is increased, what can you say about the two arcs? |
| + | *'''Evaluation''' |
| #What is the longest arc of a circle called? | | #What is the longest arc of a circle called? |
| #What are the arcs called when both major and minor arcs are of same size? | | #What are the arcs called when both major and minor arcs are of same size? |