Difference between revisions of "Angles in a circle subtended by a chord"

Revision as of 11:18, 7 May 2019

Objectives

Understand different angles subtended by a chord in a circle

Estimated Time

30 minutes

Prerequisites/Instructions, prior preparations, if any

Prior knowledge of point, lines, angles, polygons

Materials/ Resources needed

Digital : Computer, geogebra application, projector.
Non digital : Worksheet and pencil, compass, strings
Geogebra files : Angle subtended by chord.ggb

Process (How to do the activity)

Two equal chords are drawn, the endpoints are joined to the center of the circle to form triangles.
What can you say of the angles subtended by the two chords? How are the two subtended angles equal. Compare triangles formed.
When is the subtended angle the largest?
If the angles subtended are equal will the chords be of equal measure?

HW Activity : Draw circle, at the center draw two angles of equal measure. Mark the chords formed by the angles. Measure the lengths of the two chords. Note your observations.

@@ Line 1: / Line 1: @@
-===Name of the activity===
-Brief blurb describing what the activity.  If this has been borrowed from some external web site (for example, a non OER or OER site which had this idea and based on which the activity was developed)
 === Objectives ===
-Content objectives  - what content areas
+Understand different angles subtended by a chord in a circle
-Skill objectives - what specific skills
-Classroom objectives - to demo peer learning, to make a classroom resource, etc -
-All these kinds of objectives need not be there for every activity.  And no need to list them as different headings.  This is only for our reference when we are developing activities.
 ===Estimated Time===
+minutes
 === Prerequisites/Instructions, prior preparations, if any ===
+Prior knowledge of point, lines, angles, polygons
 ===Materials/ Resources needed===
+* Digital :	Computer, geogebra application, projector.
+* Non digital : Worksheet	and pencil, compass, strings
+* Geogebra	files :  Angle	subtended by chord.ggb
 ===Process (How to do the activity)===
-How to do the different steps of the activity?
+* Two	equal chords are drawn, the endpoints are joined to the center of	the circle to form triangles.
+* What	can you say of the angles subtended by the two	chords?	How	are the two subtended angles equal. Compare triangles formed.
-What kinds of questions you can ask for that activity
+* When is the subtended angle  the largest?
+* If the angles subtended are equal will the chords be of equal	measure?
-What are the student follow-up activities/ questions you can give?
+'''HW Activity :''' Draw circle, at the center draw two angles of equal measure. Mark the chords formed by the angles. Measure the lengths of the two chords. Note your observations.
-Categories:  (Subject) (Topic) (Sub-concept/topic) (Class 6) (Resource format)
-Example -  (Mathematics) (Triangle) (Area) (Perimeter) (Class 6) (Class 8) (Geogebra) (Video)