Difference between revisions of "Vertically opposite angles"

Latest revision as of 09:32, 10 September 2020

When two straight lines intersect each other four angles are formed.The pair of angles which lie on the opposite sides of the point of intersection are vertically opposite angles.

Objectives

Introduce children to concept of Vertically opposite angles.

Estimated Time

30 minutes

Prerequisites/Instructions, prior preparations, if any

Prior knowledge of point, lines, angles

Materials/ Resources needed

Digital : Computer, geogebra application, projector.
Non digital : Worksheet and pencil.
Geogebra files : “Vertically opposite angles.ggb”

Download this geogebra file from this link.

Process (How to do the activity)

Prior hands on activity (optional – children can use 2 strips newspaper or sticks to form vertically opposite angles and note the changes in the angles with change in the position of the strips or sticks).
Students to identify number of angles formed when the two lines cross each other
Name the all the angles formed around the point
Do the angles formed have a relation
Identify angles on AB: what do the form together
Identify angles on CD: what do they form together
What is observed about these angle pairs on the two lines
Can you find other pair of angles on line AB and CD
What is common about these angles
Record the values of the angles formed and their sum in the worksheet

Sl No.	Value ofslider α	Angles on line AB		∠DOA+ ∠BOD	Angles on line CD		∠ DOA+∠AOC	Common angle the lines share
		∠ DOA	∠ BOD		∠ DOA	∠ AOC
.

Evaluation at the end of the activity

What is the angle measure of the sum of any two adjacent angles when two lines intersect?
What is the total measure of all the angles formed when two lines intersect?

@@ Line 1: / Line 1: @@
-===Name of the activity===
+When two straight lines intersect each other four angles are formed.The pair of angles which lie on the opposite sides of the point of intersection are  vertically opposite angles.
-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
+Introduce children to concept of Vertically opposite angles.
-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
 ===Materials/ Resources needed===
+* Digital : Computer, geogebra application, projector.
+* Non digital : Worksheet and pencil.
+* Geogebra files : “[https://ggbm.at/sd2ntbtr Vertically opposite angles.ggb]”
+{{Geogebra|sd2ntbtr}}
 ===Process (How to do the activity)===
-How to do the different steps of the activity?
+# Prior hands on activity (optional – children can use 2 strips newspaper or sticks to form vertically opposite angles and note the changes in the angles with change in the position of the strips or sticks).
+# Students to identify number of angles formed when the two lines cross each other
-What kinds of questions you can ask for that activity
+# Name the all the angles formed around the point
+# Do the angles formed have a relation
-What are the student follow-up activities/ questions you can give?
+# Identify angles on AB: what do the form together
+# Identify angles on CD: what do they form together
-Categories:  (Subject) (Topic) (Sub-concept/topic) (Class 6) (Resource format)
+# What is observed about these angle pairs on the two lines
+# Can you find other pair of angles on line AB and CD
+# What is common about these angles
+# Record the values of the angles formed and their sum in the worksheet
+:{| class="wikitable"
+| rowspan="2" |
+Sl No.
+| rowspan="2" |
+Value ofslider α
+| colspan="2" |Angles on line AB
+| rowspan="2" |∠DOA+ ∠BOD
+| colspan="2" |Angles on line CD
+| rowspan="2" |∠ DOA+∠AOC
+| rowspan="2" |Common angle the lines share
+|-
+|∠ DOA
+|∠ BOD
+|∠ DOA
+|∠ AOC
+|-
+|.
+|
+|
+|
+|
+|
+|
+|
+|
+|}
+* '''Evaluation at the end of the activity'''
+# What is the angle measure of the sum of any two adjacent angles when two lines intersect?
+# What is the total measure of all the angles formed when two lines intersect?
-Example -  (Mathematics) (Triangle) (Area) (Perimeter) (Class 6) (Class 8) (Geogebra) (Video)
+[[Category:Lines and Angles]]