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Line 54: − [[A gardner wants his garden to have a geometrical shape. He decides on the following rules for building the flowerbeds.<br> − #They must all be rectangular − #The perimeter and area must be the same.<br> − How many different flower beds can the gardener make if one of the sides ia 3 units less than the other side. − − How many different flower beds can the gardener make if both the sides are of same length. − − − #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<br> − Students need to use their own strategies to solve the equations. − 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. − #.x^2-3x = 4x-6 => x^2-7x= -6 − #.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.]]
→Activities
#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]
==Concept #2 - Types of equations==
==Concept #2 - Types of equations==