Solving a System of Equations
Name: ___________________ Teacher:
Date : ___________________ Title of Work: ___________________
 
Criteria
Points
1
2
3
4
 
Students will solve a system of equations using elimination
Students recognize that they have to change either one or both of the equations in order to cancel out a variable but does not choose the correct coefficient to multiply by. Students recognize that they need to add the two equations but does so incorrectly.
Students successfully multiplies one or two of the equations by a coefficient. When adding the equations together to cancel out a variable, the student makes computational errors when dealing with negative numbers.
Student successfully multiplies one or both of the equations by a coefficient and properly adds the equations together. He demonstrates that he can solve the equations for both of the variables but may make computational errors.
Student successfully completes all the parts of the problem clearly, thoroughly, and accurately. Student can also describe what the solution represents.
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Students will solve a system of equations using substitution.
Student attempts to isolate one of the variables for one of the equations but does not show proficiency in solving an equation for a particular variable. The student recognizes that he needs to plug the new equation into the other equation but does so incorrectly. When solving for the variables, the student does not properly distribute the signs and fails to solve equations with one variables correctly.
Student can successfully solve for one of the variables for one of the equations and plugs the new equation into the other equation. The student demonstrates a solid understanding of the concept but does not properly distribute the negative signs and makes errors in computations and manipulating the algebraic terms.
Student can successfully solve for one of variables, plug the new equation into the other equation, and successfully solve the equations. Students show proficiency in applying the concept to a particular problem and manipulating algebraic terms. Students may make a few computational errors.
Student can successfully execute all the steps of the problem and communicate what their solution represents graphically.
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Students will recognize when a system of equations has zero or an infinite number of solutions and will describe how this system is represented on a graph
Student knows to use either substitution or elimination to solve for one of the variables, but makes computational errors as well as incorrectly manipulate the algebraic terms. If the student does solve the system correctly, he will not know how to proceed when he gets either a "true" or "false" statement.
Student can successfully solve the system and knows whether he has ended up with a "true" or "false" statement. He cannot identify which one indicates no solution and which one indicates an infinite number of solutions.
Student can successfully solve the system and can recognize whether there is no solution or an infinite number of solutions. He cannot explain how a system with no solution or a system with an infinite number of solutions is represented graphically.
Student can successfully solve the system, can identify the number of solutions, and can describe how the solution is represented graphically.
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Students will construct and use a system of equations to solve "Coin Problems."
Student partially fills out the table but cannot correctly organize the given information.
Student can successfully organize the given information using a table but incorrectly constructs the two equations needed.
Student can successfully organize the given information using a table and construct a system of equations to solve the problem.
Student can successfully organize the given information and construct a system of equations to solve the problem. Student can also successfully apply this process to problems they have never seen. (Note: Mastery of this objective was not tested in the pre and post test).
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Total---->
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