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1
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2
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3
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4
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Students will solve
a system of equations using elimination
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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
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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.
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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.
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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.
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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."
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Student partially fills
out the table but cannot correctly organize the given
information.
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Student can successfully
organize the given information using a table but incorrectly
constructs the two equations needed.
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Student can successfully
organize the given information using a table and construct
a system of equations to solve the problem.
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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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