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From Karnataka Open Educational Resources
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, 11:01, 12 August 2014
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| | #Activity No #2 Making a rectangular garden. | | #Activity No #2 Making a rectangular garden. |
| | [http://karnatakaeducation.org.in/KOER/en/index.php/Quadratic_Equations_Activity2] | | [http://karnatakaeducation.org.in/KOER/en/index.php/Quadratic_Equations_Activity2] |
| − | [[A gardner wants his garden to have a geometrical shape. He decides on the following rules for building the flowerbeds.<br>
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| − | #They must all be rectangular
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| − | #The perimeter and area must be the same.<br>
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| − | How many different flower beds can the gardener make if one of the sides ia 3 units less than the other side.
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| − | How many different flower beds can the gardener make if both the sides are of same length.
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| − | #notes for teacher-
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| − | The aim of this activity is to make a situation that leads to the quadratic equation-<br>
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| − | x(x-3)=4x-6<br>
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| − | x^2=4x<br>
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| − | Students need to use their own strategies to solve the equations.
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| − | Students may, for example establish a set of equivalent quadratic equations through the balancing method which they are familiar in the context of linear equations.
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| − | #.x^2-3x = 4x-6 => x^2-7x= -6
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| − | #.x^2-4x = 0
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| − | However ,students will probably have no other methods available but to solve using numerical method. They might set up tables from original eqn.
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| − | They need to be encouraged to move through the numbers to find the solutions and to make sense of the solution.
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| − | It also needs to be made explicit here that we are now dealing with an equation that involves a term with an unknown of second degree. This is one feature that distinguishes it from linear equation.
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| − | #note- In using the balancing method pupil might very well divide both sides of equation<br>
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| − | x^2 =4x by x <br>
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| − | x=4
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| − | This must be discussed.]]
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| | ==Concept #2 - Types of equations== | | ==Concept #2 - Types of equations== |
