Mathematics
Scoring Rubrics for DCAS
Practice Tests
© Delaware Department of Education, 2012
Descriptions of the operation of the Test Information Distribution Engine, Test Delivery System, Online Reporting System,
and related systems are property of the American Institutes for Research (AIR) and are used with permission of AIR.
© Delaware Department of Education, 2012
Descriptions of the operation of the Test Information Distribution Engine, Test Delivery System, Online Reporting System,
and related systems are property of the American Institutes for Research (AIR) and are used with permission of AIR.
Table of Contents
Mathematics ...................................................................................................................................................1
Grade 3 ..................................................................................................................................................................... 1
Grade 4 ..................................................................................................................................................................... 2
Grade 5 ..................................................................................................................................................................... 3
Grade 6 ..................................................................................................................................................................... 4
Grade 7 ..................................................................................................................................................................... 5
Grade 8 ................................................................................................................................................................. 6, 7
Grade 9 ................................................................................................................................................................. 8, 9
Grade 10 ........................................................................................................................................................... 10, 12
EOC Algebra I and Integrated Math I .................................................................................................................... 13
EOC Algebra II and Integrated Math III .............................................................................................. 14, 15, 16, 17
Mathematics Scoring Rubrics for DCAS Practice Tests | 2012
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Mathematics
Grade 3
Scoring Rubric
To earn full credit (2 points), a student places

four pieces of pie in space A (1 point)
AND

two pieces of pie in space B (1 point).
To earn partial credit, a student answers one part correctly.
Mathematics Scoring Rubrics for DCAS Practice Tests | 2012
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Mathematics
Grade 4
Scoring Rubric
To earn full credit (3 points), a student will identify in no particular order

the equilateral triangle (1 point)
AND

the rectangle (1 point)
AND

the rhombus (1 point).
To earn partial credit, a student answers one or two parts correctly.
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Mathematics Scoring Rubrics for DCAS Practice Tests | 2012
Mathematics
Grade 5
Scoring Rubric
To earn full credit (2 points), a student places

a set of coins where the nickels represent one-eighth of the entire combination of coins (1 point)
AND

a set of coins where the pennies represent one-fourth of the entire combination of coins (1 point)
AND

some dimes to define the total combination of coins.
To earn partial credit, a student answers one part correctly.
NOTE: To earn credit, a student must include nickel(s), pennies, and dimes in their response. Omitting
dimes in the response would demonstrate that the student didn’t understand sample space and the
concept that one-eighth plus one-fourth doesn’t equal one whole and, therefore, there must be some
dimes to fully demonstrate knowledge of fractions.
The student can use multiples of 8 as long as the proportions are correct for each type of coins.
Mathematics Scoring Rubrics for DCAS Practice Tests | 2012
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Mathematics
Grade 6
Scoring Rubric
To earn full credit (2 points), a student places

3 of the 5 situations that are estimates in the correct location (1 point)
AND

2 of the 5 situations that need exact answers in the correct location (1 point).
To earn partial credit, a student

answers only one part correctly.
OR

4
places any 3 of the 5 situations in the correct location.
Mathematics Scoring Rubrics for DCAS Practice Tests | 2012
Mathematics
Grade 7
Scoring Rubric
To earn full credit (2 points), a student draws

a correctly rotated pentagon counterclockwise with vertices at N(–2,2), J(–5,2), K(–6,4),
L(–4,4), M(–2,6) (1 point)
AND

a correctly labeled pentagon (1 point).
To earn partial credit, a student draws

a correctly rotated and labeled pentagon with only four correct vertices
OR

a pentagon rotated and labeled correctly clockwise rather than counterclockwise with vertices at
N(2,–2), J(5,–2), K(6,–4), L(4,–4), M(2,–6)
OR

a correctly rotated pentagon without the labels.
Mathematics Scoring Rubrics for DCAS Practice Tests | 2012
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Mathematics
Grade 8
Scoring Rubric
To earn full credit (2 points), a student draws

a line segment with a y-intercept of $20 and extends (50,45) as requested in the problem (1 point)
AND

a line segment with a slope of $0.50 per text message (1 point).
To earn partial credit, a student draws

one correct line segment with a slope of $0.50 per text message but the y-intercept is incorrect
OR

a line segment with a y-intercept of $20 but the line segment extends to the left of the y-axis which
doesn’t make sense within the context of the problem
OR

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a line segment starting at (0,20) but doesn’t extend to (50,45) as requested in the problem.
Mathematics Scoring Rubrics for DCAS Practice Tests | 2012
Mathematics
Grade 8
Scoring Rubric
To earn full credit (2 points), a student places

the correct identification of the median, minimum and maximum (1 point)
AND

the correct identification of the first and third quartiles (1 point).
To earn partial credit, a student will only identify

a combination of at least three correct labels.
Mathematics Scoring Rubrics for DCAS Practice Tests | 2012
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Mathematics
Grade 9
Scoring Rubric
To earn full credit (2 points), a student correctly graphs

a line with a slope of –2 that passes through the y-intercept of (0,3) and the x-intercept of (1.5,0)
(1 point)
AND

a second line parallel to the given one which has a slope of –1 and passes through the y-intercept of
(0,–2) (1 point).
To earn partial credit, a student answers one part correctly.
NOTE: To earn credit, a student must graph lines. Just plotting points that demonstrate a relationship
will not earn credit.
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Mathematics Scoring Rubrics for DCAS Practice Tests | 2012
Mathematics
Grade 9
Scoring Rubric
To earn full credit (2 points), a student draws

a line segment with a y-intercept greater than $150 (1 point)
AND

a slope less than $5 per guest but greater than or equal to $0. For example, the line segment could pass
through (0,250) and (40,350) which indicates a slope of $2.50 per guest and an initial fee of $250
(1 point).
To earn partial credit, a student will draw

one correct line segment with a slope of less than 5 per guest but the y-intercept is incorrect
OR

a correct line segment with a slope less than $5 per guest that extends to the left of the y-axis and
therefore contains negative number of guests.
Mathematics Scoring Rubrics for DCAS Practice Tests | 2012
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Mathematics
Grade 10
Scoring Rubric
To earn full credit (4 points), a student draws

triangle R'S'T' correctly with vertices at R'(–7,2), S'(–5,5), and T'(–2,1) (1 point)
AND

triangle R'S'T' correctly labeled (1 point)
AND

triangle R"S"T" correctly drawn with vertices at R"(–7,–2), S"(–5,–5), and T"(–2,–1) based on triangle
R'S'T' (1 point)
AND

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triangle R"S"T" correctly labeled based on the labeling of R'S'T' (1 point).
Mathematics Scoring Rubrics for DCAS Practice Tests | 2012
To earn partial credit, a student will draw

a triangle with two of the three correct vertices labeled for each of the two triangles but there is a
consistency between the two transformations (2 points)
OR

the first triangle R'S'T' correctly with vertices at R'(–7,2), S'(–5,5), and T'(–2,1) but the student reflected
the triangle across the wrong y-axis with incorrect vertices of R"(7,2), S"(5,5), and T"(2,1) (2 points)
OR

any of the four requirements for full credit.
Mathematics Scoring Rubrics for DCAS Practice Tests | 2012
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Mathematics
Grade 10
Scoring Rubric
To earn full credit (3 points), a student graphs

One correct line for Tera that passes through (0,–100) and (5,650) (1 point)
AND

A second correct line for Wendy that passes through (0,50) and (5,550) (1 point)
AND

a correct identification of the point of intersection (3,350) for the system of equations graphed
(1 point).
To earn partial credit, a student

identifies the correct solution to the system of equations as (3,350) without graphing the system of
equations (1 point)
OR

12
Graph the correct systems of equations but doesn’t indicate the point of intersection as the same
amount of money for both girls (2 points).
Mathematics Scoring Rubrics for DCAS Practice Tests | 2012
Mathematics
EOC Algebra I and Integrated Math I
Scoring Rubric
To earn full credit (3 points), a student draws

a correct graph of Jane’s distance from the park represented by the equation y = 5000 – 1000x
(1 point)
AND

a correct graph of Kim’s distance from the park represented by the equation y = 2000 – 250x (1 point)
AND

identifies the correct difference in the amount of time, 3 minutes, it takes to get to the park based on
the graph or on the information given (1 point).
To earn partial credit, a student

determines a reasonable difference in minutes based on incorrect graphs (1 point)
OR

draws two lines with correct slopes of 1000 for Tera and 250 for Kim but the x- and y-intercepts
are incorrect (1 point)
OR

answers one or two parts correctly (1 point).
Mathematics Scoring Rubrics for DCAS Practice Tests | 2012
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Mathematics
EOC Algebra II and Integrated Math III
Scoring Rubric
To earn full credit (2 points), the student creates

the correct expression for the volume of the prism, 3n² + 6n (1 point)
AND

the correct expression for the area of the shaded face, n² + 2n (1 point).
To earn partial credit, a student answers one part correctly.
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Mathematics Scoring Rubrics for DCAS Practice Tests | 2012
Mathematics
EOC Algebra II and Integrated Math III
Scoring Rubric
To earn full credit (1 point), the student graphs

the correct function on the specified domain (1 point). The graph should be an absolute function
opening downward with a maximum at (0, 3) and endpoints at (–2, 0) and (4, –3).
There is no partial credit for this item.
Mathematics Scoring Rubrics for DCAS Practice Tests | 2012
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Mathematics
EOC Algebra II and Integrated Math III
Scoring Rubric
To earn full credit (2 points), the student creates

a set of marbles that satisfies the first condition, that the probability of selecting a striped marble is
1
,
4
given that the marble is red
AND

a set of marbles that satisfies the second condition, that the probability of selecting a red marble is
2
,
3
given that the marble is striped.
Exemplar

two striped red marbles, one blue striped marble, and 6 red solid marbles (2 points)
Other Correct Responses:

any combination of marbles where one-fourth of the red marbles are striped and two-thirds of the
striped marbles are red
To earn partial credit (1 point), the student creates

16
a set of marbles that satisfies one of the two conditions.
Mathematics Scoring Rubrics for DCAS Practice Tests | 2012
Mathematics
EOC Algebra II and Integrated Math III
Scoring Rubric
To earn full credit (2 points), the student provides

a correct factorization of the expression (1 point)
AND

the correct solutions to the equation (1 point).
To earn partial credit (1 point), the student provides

a correct factorization of the expression
OR

the correct solutions to the equation
OR

correct solutions based on an incorrect factorization.
NOTE: Do not factor out the common “3” to answer part A. If the students factor “3” in the first step,
then they must rewrite their work to fit the format of the problem and therefore show equivalent
expressions.
Mathematics Scoring Rubrics for DCAS Practice Tests | 2012
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