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iRubric: Completing the Square rubric

iRubric: Completing the Square rubric

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Completing the Square 
Performance Objective for Completing the Square
Rubric Code: RXBBC7W
Draft
Public Rubric
Subject: Math  
Type: Presentation  
Grade Levels: 9-12, Undergraduate

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  Poor

1 pts

Fair

2 pts

Good

3 pts

Very Good

4 pts

Excellent

5 pts

1.Recognize the

1. Recognize the<BR>
“form” the equation<BR>
is given.

Poor

Student did not recognize the equation was a quadratic
Fair

Student recognized the equation as a quadratic
Good

Student recognized the equation was a quadratic & the form it was given
Very Good

Student recognized the equation , the form given but had difficulty in manipulating to find the form to work with
Excellent

Student recognized the equation, the form and could manipulate to get the equation in the correct form.
2.Used the correct

2.Used the correct steps for completing the square.Enter criteria description

Poor

Student could complete only the first two steps
Fair

Student could complete the steps, but made algebraic mistakes
Good

Student used the correct steps but arith. mistakes were made
Very Good

Student used the correct steps, but made only one mistake.
Excellent

Student correctly used all steps in completing the square.


3.The equation was written as “a perfect square” equation to solve.

Poor

Student could not recognize the perfect square form.
Fair

Student recognized the perfect square form, but did not understand how to solve.
Good

Student wrote the equation in the perfect square form.
Very Good

Student was able to write the equation in perfect square form and understood how to “undo” the perfect square.
Excellent

Student wrote the equation in perfect square form without any prompting from the teacher and comprehended how to undo a perfect square.


4.Solved the equation as a perfect square.

Poor

Student did not understand how to take the square root of each side.
Fair

Student understood how to take the square root of one side of the equation, but not the other side.
Good

Student solved the equation by taking the square root of both sides.
Very Good

Student solved the equation by taking the square root of both sides, however, both +& - roots were not taken.
Excellent

Student solved the equation as a perfect square using both + &- answers with no mistakes.


5. Solutions were written in simplified radical form.

Poor

Student could only simplify one side of the equation.
Fair

Student could simplify both sides of the equation, but mistakes were made.
Good

Student showed the skill of correctly simplifying a perfect square, but had difficulty with irrational answers.
Very Good

could simplify Student correctly, but did not use both + and – answers.
Excellent

Student simplified both sides of the equations using both + and – answers with no mistakes.


6.Solutions were written in simplified form using four decimal places if irrational answers were found.

Poor

Student did not recognize when the solutions were rational or irrational.
Fair

Student could only simplify a perfect square.
Good

Student found the radical form, but mistakes were made in simplifying.
Very Good

Student found the radical form, irrational solutions but did not use both + and – answers.
Excellent

Student simplified the solutions without any mistakes.


7.Solutions were analyzed for imaginary answers.

Poor

Student could not recognize or analyze imaginary solutions.
Fair

Student recognized an imaginary solution, but could not simplify.
Good

Student recognized imaginary solutions , but had difficulty simplifying.
Very Good

Student recognized imaginary solutions, but did not use both + and – solutions.
Excellent

Student recognized imaginary solutions and analyzed them correctly.


8.Graph was analyzed using the solutions.

Poor

Student could not analyze what the solutions meant for the graph.
Fair

Student could find the solutions, use the real solutions, but could not analyze the imaginary solutions.
Good

Student found the solutions real and imaginary, but could not analyze the imaginary solutions.
Very Good

Student could find the solutions, analyze them, but made mistakes using the imaginary solutions.
Excellent

Student found the solutions and had no difficulty analyzing the solutions, both real and imaginary.



Keywords:
  • Performance Objective

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