Difference between revisions of "Surface area of a cone"

Latest revision as of 04:06, 11 November 2019

Areas related to cone are introduced with geogebra sketch.

Objectives

Understand surface area

To calculate surface area of a cone

Estimated Time

40 minutes.

Prerequisites/Instructions, prior preparations, if any

Basics about cone, circle and pythogoras theorm should have been covered.

Materials/ Resources needed

Digital: Laptop, geogebra file, projector and a pointer.

Geogebra file: Sector of a Cone , Surface area of a cone

Download this geogebra file from this link.

Process (How to do the activity)

The teacher after initial discussion on a cone and its properties can project the geogebra file and enable the understanding of derivation of formulae for surface area of a cone.

Developmental Questions:

What is a solid shape ?
Define a cone ?
Give some examples of conical figures.
Name the parts of a cone.
What shape is its base.
After disection can you identify the shapes it is made of ?
Differentiate lateral surface area and total surface area.
What is the formula to find the area of a circle ?
Whatis the circumference of a circle ?
Differentiate between the slant height and vertical height of a cone.
How do we proceed to find the L.S.A. of the cone.
How do we find the total surface area of the cone.

Evaluation:

What part of a circle is the lateral surface of a cone ?

Question Corner:

What would be the formula to find the surface area of an ice-cream cone.
What is the frustum of a cone.

@@ Line 1: / Line 1: @@
+Areas related to cone are introduced with geogebra sketch.
 === Objectives ===
-Content objectives  - what content areas
+Understand surface area
-Skill objectives - what specific skills
+To calculate surface area of a cone
-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 ===
+Basics about cone, circle and pythogoras theorm should have been covered.
 ===Materials/ Resources needed===
-===Process (How to do the activity)===
+Digital: Laptop, geogebra file, projector and a pointer.
-How to do the different steps of the activity?
-What kinds of questions you can ask for that activity
+Geogebra file:  [https://ggbm.at/tmj6wz7s Sector of a Cone] ,  [https://ggbm.at/utngknkp Surface area of a cone]
-What are the student follow-up activities/ questions you can give?
+{{Geogebra|tmj6wz7s}}{{Geogebra|utngknkp}}
-Categories:  (Subject) (Topic) (Sub-concept/topic) (Class 6) (Resource format)
+===Process (How to do the activity)===
+The teacher after initial discussion on a cone and its properties can project the geogebra file and enable the understanding of derivation of formulae for surface area of a cone.
+*Developmental Questions:
+#What is a solid shape ?
+#Define a cone ?
+#Give some examples of conical figures.
+#Name the parts of a cone.
+#What shape is its base.
+#After disection can you identify the shapes it is made of ?
+#Differentiate lateral surface area and total surface area.
+#What is the formula to find the area of a circle ?
+#Whatis the circumference of a circle ?
+#Differentiate between the slant height and vertical height of a cone.
+#How do we proceed to find the L.S.A. of the cone.
+#How do we find the total surface area of the cone.
+*Evaluation:
+#What part of a circle is the lateral surface of a cone ?
+*Question Corner:
+#What would be the formula to find the surface area of an ice-cream cone.
+#What is the frustum of a cone.
-Example -  (Mathematics) (Triangle) (Area) (Perimeter) (Class 6) (Class 8) (Geogebra) (Video)
+[[Category:Mensuration]]