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Assignment: Area and Length (30 points)
Total Score:
Student Name:
High Grades (5 points each)
High scoring students will do
the following:
Write a problem for
finding the area of a
triangle using
several different
formulas, including
Hero’s formula.
Score:
Comments:
Write a problem for
finding the arc
length of an arc
given the measure
of the
corresponding
central angle and
the radius of the
circle.
Score:
Comments:
Write a problem for
finding the area of a
sector given the
measure of the
corresponding
central angle and
the radius of the
circle.
The student correctly writes a
problem that uses one of the
listed formulas, including all
information needed to solve
the problem.
Middle Grades (3-4 points
each)
Middle scoring students will do
the following:
The student correctly writes a
problem that uses one of the
listed formulas but only writes
some of the given values for
side lengths and/or angle
measures.
Low Grades (1-2 points each)
Low scoring students will do the
following:
Unacceptable (0 points
each)
The student correctly writes a
problem that uses one of the
listed formulas but does not write
the given values for side lengths
and/or angle measures.
The student does not write a
problem that uses one of the
listed formulas.
The student correctly writes a
problem to find the arc length,
including all information
needed to solve the problem.
The student correctly writes a
problem to find the arc length
but only writes some of the
given values for central angle
and radius.
The student correctly writes a
problem to find the arc length but
does not write the given values for
central angle and radius.
The student does not write a
problem to find the arc
length.
The student correctly writes a
problem to find the area of a
sector, including all
information needed to solve
the problem.
The student correctly writes a
problem to find the area of a
sector but only writes some of
the given values for central
angle and radius.
The student correctly writes a
problem to find the area of a
sector but does not write the
given values for central angle and
radius.
The student does not write a
problem to find the area of a
sector.
© K12 Inc.
Score:
Comments:
Write a solution for
finding the area of a
triangle using
several different
formulas, including
Hero’s formula.
The student correctly writes a
solution to the problem he or
she wrote, showing all steps
needed to solve the problem.
The student writes a sentence
that describes the answer
based on the original problem.
The student correctly writes a
solution to the problem he or
she wrote, showing all steps
needed to solve the problem.
The student does not write a
sentence that describes the
answer based on the original
problem.
The student writes a solution to
the problem he or she wrote,
showing all steps needed to solve
the problem. There are some
mistakes in the steps that show
the solution. The student does not
write a sentence that describes
the answer based on the original
problem.
The student does not write a
solution to the problem he or
she wrote
The student correctly writes a
solution to the problem he or
she wrote, showing all steps
needed to solve the problem.
The student writes a sentence
that describes the answer
based on the original problem.
The student correctly writes a
solution to the problem he or
she wrote, showing all steps
needed to solve the problem.
The student does not write a
sentence that describes the
answer based on the original
problem.
The student writes a solution to
the problem he or she wrote,
showing all steps needed to solve
the problem. There are some
mistakes in the steps that show
the solution. The student does not
write a sentence that describes
the answer based on the original
problem.
The student does not write a
solution to the problem he or
she wrote
The student correctly writes a
solution to the problem he or
she wrote, showing all steps
needed to solve the problem.
The student writes a sentence
that describes the answer
based on the original problem.
The student correctly writes a
solution to the problem he or
she wrote, showing all steps
needed to solve the problem.
The student does not write a
sentence that describes the
answer based on the original
problem.
The student writes a solution to
the problem he or she wrote,
showing all steps needed to solve
the problem. There are some
mistakes in the steps that show
the solution. The student does not
write a sentence that describes
the answer based on the original
problem.
The student does not write a
solution to the problem he or
she wrote
Score:
Comments:
Write a solution for
finding the arc
length of an arc
given the measure
of the
corresponding
central angle and
the radius of the
circle.
Score:
Comments:
Write a solution for
finding the area of a
sector given the
measure of the
corresponding
central angle and
the radius of the
circle.
© K12 Inc.
Score:
Comments:
© K12 Inc.
Assignment: Area and Length
Suppose you and a friend are studying for an exam about the topics in this section. The two of you decide
to create a practice guide on how to solve these types of problems.
Write a practice guide by writing one problem for each of these three topics:
Find the area of a triangle using one of the following formulas:
1
bc sin A
2
1
K = ab sin C
2
K=
K=
1
ac sin B
2
K=
1 2 sin B sin C
a
2
sin A
1 2 sin A sin C
b
2
sin B
1 2 sin A sin B
K= c
2
sin C
K=
Hero’s Formula: K =
s ( s − a )( s − b )( s − c )
Find the arc length of an arc given the measure of the corresponding central angle and the
radius of the circle.
Find the area of a sector given the measure of the corresponding central angle and the radius
of the circle.
Write a problem for each topic, including all information needed to solve the problem. Then write the
solution to the problem, showing all the steps needed to find the solution. Include a sentence that
describes the solution based on the original problem.
© K12 Inc.
© K12 Inc.

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Anonymous

Really helped me to better understand my coursework. Super recommended.