Difference between revisions of "Construction of a triangle with two sides and included angle"

Latest revision as of 10:49, 26 April 2019

Construing of a triangle when two of the sides and an angle of a triangle are known and recognizing the role of the given angle, this construction follows SAS congruence rule for the given parameters.

Objectives

To construct a triangle given two sides and an angles
To understand the given angle should be included angle when two sides are given

Estimated Time

20 minutes

Prerequisites/Instructions, prior preparations, if any

Prior understanding of point, lines and angles, elements of triangle, properties of triangle

Materials/ Resources needed

Digital : Computer, geogebra application, projector.
Non digital : Worksheet and pencil
Geogebra files : "Triangle construction (2sides-1angle)"

Download this geogebra file from this link.

Process (How to do the activity)

For given angles and sides, which parameter will you start the construction with.
If the given angle is drawn first what are the next steps of construction.
How many triangles are possible if the triangle is drawn such that the given angle is not included angle ( - if the second side is not marked along the arm of the angle but from point B)
If you start the construction with a given side which of the other two parameters should be taken next to complete the required triangle.

Evaluation at the end of the activity

How many triangles are possible for given 2 sides and an angle?
What is the additional condition that is required to be specified if 2 sides and 1 angle is given for constructing a triangle?

**Actual construction (using robocompass)

@@ Line 1: / Line 1: @@
-===Name of the activity===
+Construing of a triangle when two of the sides and an angle of a triangle are known and recognizing the role of the given angle, this construction follows SAS congruence rule for the given parameters.
-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 ===
+=== Objectives===
-Content objectives  - what content areas
+* To construct a triangle given two sides and an angles
+* To understand the given angle should be included angle when two sides are given
-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 understanding of point, lines and angles, elements of triangle, properties of 	triangle
 ===Materials/ Resources needed===
+* Digital : Computer, geogebra application, projector.
+* Non digital : Worksheet and pencil
+* Geogebra files :  [https://ggbm.at/h4zfnw7h "Triangle construction (2sides-1angle)]"
+{{Geogebra|h4zfnw7h}}
 ===Process (How to do the activity)===
-How to do the different steps of the activity?
+* For given angles and sides, which parameter will you start the construction with.
+* If the given angle is drawn first what are the next steps of construction.
-What kinds of questions you can ask for that activity
+* How many triangles are possible if the triangle is drawn such that the given angle is not included angle ( - if the second side is not marked along the arm of the angle but from  point B)
+* If you start the construction with a given side which of the other two parameters should be taken next  to complete the required triangle.
-What are the student follow-up activities/ questions you can give?
+'''Evaluation at the end of the activity'''
+* How many triangles are possible for given 2 sides and an angle?
+* What is the additional condition that is required to be specified if 2 sides and 1 angle is given for constructing a triangle?
-Categories:  (Subject) (Topic) (Sub-concept/topic) (Class 6) (Resource format)
+<nowiki>**</nowiki>[http://www.robocompass.com/share?id=tofoqmqfhg12 Actual construction (using robocompass)]
-Example -  (Mathematics) (Triangle) (Area) (Perimeter) (Class 6) (Class 8) (Geogebra) (Video)
+[[Category:Triangles]]
+[[Category:Class 8]]
+[[Category:Classroom activities]]