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Using Alice & Scratch to design a math project to solve the given Quadratic Equations

Hemant Mishra's picture
Submitted by Hemant Mishra on Fri, 06/27/2008 - 2:16pm

Math Project- Quadratic Equations

Use Alice or Scratch programs to design “Finding the solutions of Quadratic Equations” 

Use the following given quadratic equations

 -3x2 + x -2 = 0

3x2 + 5x = 0

3x2 = 6

3x2 + 5x = -1

x4 - 9x2 + 8 = 0  

Activity 1:  Find the values of a=_____,b=_____,c=____, in each case.   

Activity 2: Show all the essential steps to find the discriminants -1. b2 −4ac < 0 there are no real roots. 2. b2 −4ac = 0 There is one real root.

3. b2 −4ac > 0 There are two real roots.

 Activity 3:  Find the values of the Roots the Nature of roots by using formula Show the work by using the corresponding values of a, b, & c in the above formula and the on the basis ofPositive, Negative & None values, declare that the roots are REAL or IMAGINARY.     

Activity 4: Then declare the kids of solutions as UNIQUE Solution, INFINITELY MANY Solutions or NO Solution, in each case.  

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Hemant Mishra's picture

Math project using ALICE or SCRATCH to solve quadratic equations

Submitted by Hemant Mishra on Fri, 06/27/2008 - 2:23pm.

Math Project- Quadratic Equations

Use Alice or Scratch programs to design “Finding the solutions of Quadratic Equations” 

Use the following given quadratic equations -3x2 + x -2 = 03x2 + 5x = 03x2 = 63x2 + 5x = -1x4 - 9x2 + 8 = 0  

Activity 1:  Find the values of a=_____,b=_____,c=____, in each case.  

 Activity 2: Show all the essential steps to find the discriminants -1. b2 −4ac < 0 there are no real roots. 2. b2 −4ac = 0 There is one real root.

3. b2 −4ac > 0 There are two real roots.

 Activity 3:  Find the values of the Roots the Nature of roots by using formula Show the work by using the corresponding values of a, b, & c in the above formula and the on the basis ofPositive, Negative & None values, declare that the roots are REAL or IMAGINARY.    

 Activity 4: Then declare the kids of solutions as UNIQUE Solution, INFINITELY MANY Solutions or NO Solution, in each case.  

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