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From Karnataka Open Educational Resources
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==Website interactives/ links/ simulations/ Geogebra Applets==
 
==Website interactives/ links/ simulations/ Geogebra Applets==
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http://academic.sun.ac.za/mathed/malati/Files/Equity991.pdf
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[http://academic.sun.ac.za/mathed/malati/Files/Equity991.pdf '''more about quadratic equation''']
    
==Process (How to do the activity)==
 
==Process (How to do the activity)==
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'''A gardener wants his garden to have an interesting geometrical appearance.'''
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He decides on the following rules for building the flowerbeds
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They must all be rectangular.
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The perimeter and the area must be the same.
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1. How many different flowerbeds can the gardener make if one of the sides is
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3 units less than the other side as shown in the diagram below:
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2. How many different flowerbeds can the gardener make if both sides are the same
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length, as shown in the diagram below:
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==Developmental Questions (What discussion questions)==
 
==Developmental Questions (What discussion questions)==
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#pupils should be encouraged to use their own informal methods before being
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introduced to formal solution procedures.
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#revisit the concept (meaning) of the solution of an equation. The number
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of solutions of an equation (no solution; 1 solution, 2 solutions or many solutions)
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will be dripped.
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#out of this they will extract the notion of a quadratic equation, so as to distinguish it
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#finally, we will reflect on the solution procedures.
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==Evaluation (Questions for assessment of the child)==
 
==Evaluation (Questions for assessment of the child)==
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*pupils will probably have no other method available but to solve these
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equations using numerical methods<br> (setting up a table or proceeding with guess and
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improve). <br>*The pupils might set up tables from the original equations:<br>
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x 2 − 7x −6<br>
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6 − 12 −6<br>
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10 − 12 −6<br>
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x x(x − 3) 4x − 6<br>
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3 0 4 <br>
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*The pupils need to be encouraged to move through the numbers to find the solutions
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and to make sense of the solution in the context of the problem.<br>
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*It also needs to be made explicit here that we are now dealing with an equation that
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involves a term with an unknown of the second degree.
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Image:http://upload.wikimedia.org/wikipedia/commons/thumb/a/a5/Regular_polygon_4_annotated.svg/220px-Regular_polygon_4_annotated.svg.png
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==Question Corner==
 
==Question Corner==
 
==Activity Keywords==
 
==Activity Keywords==
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'''To link back to the concept page'''
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[[Category:Quadratic Equations]]
[[Topic Page Link]]