Difference between revisions of "Area of a quadrilateral"
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− | + | A diagonal divides a quadrilateral into 2 triangles. Understanding area of a quadrilateral in terms of triangles is done with this activity. | |
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− | === Objectives === | + | === Objectives=== |
− | + | To find the area of a quadrilateral | |
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===Estimated Time=== | ===Estimated Time=== | ||
+ | 40 minutes | ||
=== Prerequisites/Instructions, prior preparations, if any === | === Prerequisites/Instructions, prior preparations, if any === | ||
+ | Prior understanding of properties of triangles | ||
===Materials/ Resources needed=== | ===Materials/ Resources needed=== | ||
+ | * Digital : Computer, geogebra application, projector. | ||
+ | * Non digital : Worksheet and pencil | ||
+ | * Geogebra files : ‘[https://ggbm.at/r9etseqb Area of a quadrilateral.ggb]’ | ||
+ | {{Geogebra|r9etseqb}} | ||
+ | |||
===Process (How to do the activity)=== | ===Process (How to do the activity)=== | ||
− | How | + | * How can the quadrilateral be divided into triangles? |
− | + | * What is common for the two triangles formed? | |
− | + | * How can the area of the quadrilateral be found with the two triangles that are formed? | |
− | + | * Record the values of segments | |
− | + | : {| class="wikitable" | |
− | + | |Value of diagonal AC (f) | |
− | + | |Value of h | |
+ | |Value of j | ||
+ | |Area of triangle ABC | ||
+ | |Area of triangle ADC | ||
+ | |Area of Quadrilateral | ||
+ | |- | ||
+ | |. | ||
+ | | | ||
+ | | | ||
+ | | | ||
+ | | | ||
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+ | |- | ||
+ | |. | ||
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+ | |} '''Evaluation at the end of the activity''' | ||
+ | :* Can the area of any quadrilateral be found with this method | ||
− | + | [[Category:Quadrilaterals]] |
Latest revision as of 07:54, 29 October 2019
A diagonal divides a quadrilateral into 2 triangles. Understanding area of a quadrilateral in terms of triangles is done with this activity.
Objectives
To find the area of a quadrilateral
Estimated Time
40 minutes
Prerequisites/Instructions, prior preparations, if any
Prior understanding of properties of triangles
Materials/ Resources needed
- Digital : Computer, geogebra application, projector.
- Non digital : Worksheet and pencil
- Geogebra files : ‘Area of a quadrilateral.ggb’
Download this geogebra file from this link.
Process (How to do the activity)
- How can the quadrilateral be divided into triangles?
- What is common for the two triangles formed?
- How can the area of the quadrilateral be found with the two triangles that are formed?
- Record the values of segments
Value of diagonal AC (f) Value of h Value of j Area of triangle ABC Area of triangle ADC Area of Quadrilateral . .
- Can the area of any quadrilateral be found with this method