Changes
From Karnataka Open Educational Resources
1,113 bytes added
, 17:08, 29 July 2014
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| #They must all be rectangular | | #They must all be rectangular |
| #The perimeter and area must be the same.<br> | | #The perimeter and area must be the same.<br> |
− | How many different flowerbeds can the gardner make if one of sides is 3 units less than the other side. | + | 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- |
| + | The aim of this activity is to make a situation that leads to the quadratic equation-<br> |
| + | x(x-3)=4x-6<br> |
| + | x^2=4x |
| + | |
| + | Students need to use their own strategies to solve the equations. |
| + | Students may, for example establish a set of equivalent quadratic equations trough the balancing method which they are familiar in the context of linear equations. |
| + | #.1.x^2-3x = 4x-6 => x^2-7x= -6 |
| + | #.2.x^2-4x = 0 |
| + | However ,students will probably have no other methods available but to solve using numerical method. They might set up tables from original eqn. |
| + | |
| + | They need to be encouraged to move through the numbers to find the solutions and to make sense of the solution. |
| + | 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. |
| + | #note- In using the balancing method pupil might very well divide both sides of equation<br> |
| + | x^2 =4x by x <br> |
| + | x=4 |
| + | This must be discussed. |
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| ==Concept #2 - Types of equations== | | ==Concept #2 - Types of equations== |