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Systems of linear Equations
Systems of linear Equations
Analyze and solve pairs of simultaneous linear equations. Determine whether there are one, none, or an infinite number of solutions to a system of linear equations. Use each method of solving systems of equations graphing, substitution, and elimination.
Rubric Code:
L22466W
By
bslaughter5
Ready to use
Public Rubric
Subject:
Math
Type:
Assessment
Grade Levels:
(none)
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Highly Proficient
4 pts
Proficient
3 pts
Partially Proficient
2 pts
Minimally Proficient
1 pts
Graphing Problems
X2
Highly Proficient
For each graph, the graph is labeled and the y-intercept and rate of change are correct. The solution is labeled and student can answer questions about the meaning of the point of intersection most times correctly.
Proficient
For each graph, the graph is labeled and the y-intercept and rate of change are correct. The solution is labeled and student can answer questions about the meaning of the point of intersection some times correctly.
Partially Proficient
For each graph, the graph is labeled and the y-intercept or rate of change are correct. The solution is labeled ,student cannot answer questions about the meaning of the point of intersection correctly.
Minimally Proficient
For each graph, the graph is not labeled and the y-intercept and rate of change are not correct. The solution is labeled, the student cannot answer questions about the meaning of the point of intersection correctly.
Substitution Problems
X2
Highly Proficient
The student solves the problem with no errors following the steps to find a solution
Proficient
The student solves the problem with minor errors following the steps to find a solution.
Partially Proficient
The student attempts to solve the problem but there are major errors and the student has difficulty following the steps to find a solution.
Minimally Proficient
The student's attempt to solve problems are incomplete and the answer is incorrect.
Elimination Problems
X2
Highly Proficient
The student completes the problem following all steps to find a correct solution. Student can follow the steps correctly and steps are easy to follow, calculations are correct.
Proficient
The student completes the problem following most steps to find a correct solution. Student can follow the steps correctly and steps are easy to follow, calculations have only minor errors.
Partially Proficient
The student partially completes the problem or the wrong method is used to find a solution. Student can follow some of the steps to solve the problem but errors in calculation cause the answer to be incorrect.
Minimally Proficient
The student does not complete the problem or the wrong method is used to find a solution. Student can not follow the steps to solve the problem.
Number of solutions
Highly Proficient
Student understands and can answer questions about the number of solutions to a system of linear equations correctly all of the time. Student understands that two parallel lines have no solution, a system with a point of intersection has exactly one solution, and the same equations have infinite number of solutions.
Proficient
Student understands and can answer questions about the number of solutions to a system of linear equations correctly less than 100% but more than 75% of the time. Student understands that two parallel lines have no solution, a system with a point of intersection has exactly one solution, and the same equations have infinite number of solutions.
Partially Proficient
Student understands and can answer questions about the number of solutions to a system of linear equations correctly from 50% up to 75% of the time. Student understands one or more of the following; that two parallel lines have no solution, a system with a point of intersection has exactly one solution, and the same equations have infinite number of solutions.
Minimally Proficient
Student understands and can answer questions about the number of solutions to a system of linear equations correctly less than half of the time of the time. Student understands one or less of the following; that two parallel lines have no solution, a system with a point of intersection has exactly one solution, and the same equations have infinite number of solutions.
Classification of Systems
Highly Proficient
Students understand that a system with 1 solution is consistent and independent and its graph intersects at one point, that a system with no solutions is inconsistent and independent and it's graph is 2 parallel lines, and that a system with an infinite number of solutions is consistent and dependent, is equations of the same line and it's graph is the same line.
Proficient
Students have at least 1 error but more than 76% accuracy with the following statement:
Students understand that a system with 1 solution is consistent and independent and its graph intersects at one point, that a system with no solutions is inconsistent and independent and it's graph is 2 parallel lines, and that a system with an infinite number of solutions is consistent and dependent, is equations of the same line and it's graph is the same line.
Partially Proficient
Students have between 50 and 75% accuracy with the following statement:
Students understand that a system with 1 solution is consistent and independent and its graph intersects at one point, that a system with no solutions is inconsistent and independent and it's graph is 2 parallel lines, and that a system with an infinite number of solutions is consistent and dependent, is equations of the same line and it's graph is the same line.
Minimally Proficient
Students have less than 50% accuracy with the following statement:
Students understand that a system with 1 solution is consistent and independent and its graph intersects at one point, that a system with no solutions is inconsistent and independent and it's graph is 2 parallel lines, and that a system with an infinite number of solutions is consistent and dependent, is equations of the same line and it's graph is the same line.
Neatness and Solutions checked
Highly Proficient
Work is neat, with steps easily identified, answers are boxed, and final answers is checked in original equations.
Proficient
One of the following is missing:
Work is neat, with steps easily identified, answers are boxed, and final answers is checked in original equations.
Partially Proficient
Two of the following are missing:
Work is neat, with steps easily identified, answers are boxed, and final answers is checked in original equations.
Minimally Proficient
More than two of the following are missing:
Work is neat, with steps easily identified, answers are boxed, and final answers is checked in original equations.
Subjects:
Math
Types:
Assessment
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