Quadratic equations introduction to quadratic equation actvity 2
=Activity - CCE ACTIVITY=
Name of Activity
Rectangular garden
A gardner wants his garden to have a geometrical shape. He decides on the following rules for building the flowerbeds.
- They must all be rectangular
- The perimeter and area must be the same.
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.
Estimated Time
30min
Materials/ Resources needed
paper and pen
Prerequisites/Instructions, if any
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.
Multimedia resources
nil
==Website interactives/ links/ simulations/ Geogebra Applets==
Process (How to do the activity)
Developmental Questions (What discussion questions)
How to find the area and perimeter of the rectangle?
The aim of this activity is to make a situation that leads to the quadratic equation-
x(x-3)=4x-6
Failed to parse (syntax error): {\displaystyle x^2=4x/math><br> Students need to use their own strategies to solve the equations.<br> 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.<br> <math>x^2-3x = 4x-6 => x^2-7x= -6/math><br> <math>x^2-4x = 0/math><br> However ,students will probably have no other methods available but to solve using numerical method. They might set up tables from original eqn.<br> They need to be encouraged to move through the numbers to find the solutions and to make sense of the solution.<br> 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.<br> #note- In using the balancing method pupil might very well divide both sides of equation<br> <math>x^2 =4x by x}
x=4
Evaluation (Questions for assessment of the child)
- how many roots does the linear equation can have?
Question Corner
- Can this equation has any other solutions?
Activity Keywords
To link back to the concept page Quadratic_Equations