Download College Preparatory Mathematics (CPM) 8th Grade Math Fall Interim

College Preparatory Mathematics (CPM)
8th Grade Math Fall Interim Assessment Blueprint
Question
Standard(s)
Claim
1
8.EE.7a
DOK
1
MPs
Item Type
SCR
Solution
1.
2.
3.
Infinitely many solutions.
No solution
One solution.
Rubric/Points
1 point; all concepts used to
answer question correctly are
linked.
Responses to this item will receive
0-3 points, based on the
following:
3 points: The student shows a
thorough understanding of the
number of possible solutions of
linear equations. The student gives
acceptable values for a and b in
both parts and provides complete
and correct explanations.
Part A: A = 5; b = 16
Sample explanation: When you
put in the numbers for a and b,
the solution is x = 1
2
8.EE.7
CR
Part B: a = 6; b = 15
Sample explanation: When you
put these numbers in for a and b,
the solution is
0 = 0, so
there are infinitely many
solutions, not just one.
2 points: The student shows a
partial understanding of the
number of possible solutions of
linear equations. The student must
show at least some understanding
in Part B to earn 2 points (e.g.,
Part A is incorrect and Part B is
correct, or Part A and the values
for a and b in Part B are correct
but the explanation in Part B is
incorrect).
1 point: The student shows a
limited understanding of the
number of possible solutions of
linear equations. Part A is correct,
but inconsistent or no
understanding is shown in Part B.
0 points: The student shows
inconsistent or no understanding of
the number of possible solutions of
linear equations.
3
8.EE.7
1
2
SR
4
8.EE.C.7a
3
3
SR
5
8.F.1
1
1
SCR
Solutions: B, C
1 point
Student correctly selects second
and third options (a = b, c ≠0;
a = b, c = 0)
1 point
Sample Top-Score Solution
x
y
4
0
4
1
4
2
4
3
4
4
Responses to this item will receive
0-1 point, based on the following:
1 point: The student shows a
thorough understanding of the
definition of a function. The
student creates a relation that is
not a function. (next page)
0 points: The student shows no
understanding of the definition of
College Preparatory Mathematics (CPM)
8th Grade Math Fall Interim Assessment Blueprint
Question
Standard(s)
Claim
DOK
MPs
Item Type
Solution
Rubric/Points
a function. The student creates a
relation that is a function.
6
7
8.EE.6
8.FA.2
1
1
2
2
SCR
SCR
The student gives the correct
equation (e.g., s = 6w;
y=
x + 3). Slope may be written as
an integer, fraction, or decimal.
1 point
Student graphs the
line y = 2x
OR any line with a slope of 2 as
long as the y-intercept is
different than -3.
1 point
Responses to this item will receive
0-2 points, based on the
following:
Sample Top-Score Response:
8
8.F.3
3, 1
3
CR
Part A
Year Population of a
Certain County
0 100,000
1 110,000
2 121,000
3 133,100
4 146,410
Part B
Amy’s example is not a linear
functional relationship. The
population does not increase by
the same amount each year, so
the relationship is not linear.
2 points: The student shows a
thorough understanding of how to
distinguish between linear and
nonlinear relationships. The student
correctly completes the table
showing a
10% increase in population each
year, states that the relationship is
not linear, and provides a clear
and complete explanation of why
the relationship is not linear.
Rounding to the nearest whole
number for the population is
permitted. (Rubric continues on
next page)
1 point: The student shows a
partial understanding of how to
distinguish between linear and
nonlinear relationships. The student
makes calculation errors in the
table but gives a response in Part
B that corresponds with the
numbers in the table OR the
student completes the table
correctly but provides an incorrect
explanation in Part A.
0 points: The student shows
inconsistent or no understanding of
how to distinguish between linear
and nonlinear relationships. The
student makes major errors when
completing the table and gives a
response in Part B that does not
correspond to the values entered
in the table.
College Preparatory Mathematics (CPM)
8th Grade Math Fall Interim Assessment Blueprint
Question
Standard(s)
Claim
9
10
11
8.F.B.4
8.F.4
1
2, 1
DOK
1
3
MPs
Item Type
Solution
Rubric/Points
SCR
–5 or its equivalent (student
enters a correct rate of change).
1 point
CR
8.F.4
1
2
SCR
12
8.EE.7b
1
2
SCR
13
8.F.2
1
2
SCR
14
8.F.2
1
2
MC
Sample Top-Score Response:
Part A
$4.49; 450 more shirts cost
$2020.50 more, and 2020.50
divided by 450 is 4.49.
Part B
$125; Since each shirt costs
$4.49, 50 shirts cost $224.50,
which means that the design fee
is $125.
Student determines each
statement as being either true or
false (e.g., T, T, F). Each
statement is a sentence
describing the initial value or
rate of change in the context.
The student gives the correct
equation in the form y = mx + b
(e.g., y = -4x+2).
The student writes the correct
difference between the rates of
change of the functions (e.g., 3
or -3).
A
Responses to this item will receive
0-2 points, based on the
following:
2 points: The student shows a
thorough understanding of how to
use a function to model a
relationship between quantities.
The numerical responses are equal
to the answers given in the Sample
Top-score Response and the
explanations are complete and
correct.
1 point: The student shows a
partial understanding of how to
use a function to model a
relationship between quantities.
One numerical response and the
corresponding explanation are
correct.
0 points: The student shows
inconsistent or no understanding of
how to use a function to model a
relationship between quantities.
1 point
1 point
1 point
1 point