PSSA Item Sampler Math Grade 5 2009
Transcript of PSSA Item Sampler Math Grade 5 2009
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ThePennsylvaniaSystemo f SchoolAssessment
Mathematics
Item and ScoringSampler
SUPPLEMENT
2009–2010
Grade 5
PennsylvaniaDepartmentof EducationBureauof Assessmentand Accountability2009–2010
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Grade 5 Mathematics Item Sampler Supplement 2009–2010 iii
TABLE OF CONTENTS
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 1
Grade 5 Ruler . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 1
Multiple-Choice Items . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .2
Open-Ended Item. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .10
Item-Specific Scoring Guideline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . 12
Open-Ended Item Responses. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . 14
Summative Data Table . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .30
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 1
G r a d e 5
TRODUCTION
2009–2010 Mathematics Item and Scoring Sampler Supplement displays released items from the 2009 PSSA
rational test. The sampler supplement is to be used in conjunction with the previous year’s item sampler. The 2008–
9 Mathematics Item and Scoring Sampler can be found on the Pennsylvania Department of Education website at
://www.pde.state.pa.us/. Select the “Pre K–12 Schools” tab at the top of the page. Then select “Assessment” in the “Learnout” column to the left. Select “Resource Materials” in the “Learn About” column of the next page, and then scroll down to
the appropriate sampler. Alternately, you may type in or click this link to reach the location of the item samplers:
://www.pde.state.pa.us/a_and_t/cwp/view.asp?a=108&Q=73314&a_and_tNav=|680|&a_and_tNav=|
s item and scoring sampler supplement contains 16 mathematics multiple-choice items and 1 open-ended item.
h item is preceded by the Assessment Anchor and Eligible Content coding. The majority of multiple-choice answer options
followed by a brief analysis or rationale. The correct answer is indicated by an asterisk. The table following each multiple-
ice item displays the percentages of students who chose each answer option. The correct answer
so shaded in these tables. The table following the open-ended item indicates the students’ performance for each
repoint. Sample student responses for each of the scoring levels are also included for the open-ended item.
uler similar to that shown below should be used to answer item 8.
GRADE 5 RULER
The
r shown below is not intended to be used to measure. It has been included as a representation of the rulers that will be
vided for students when they take the test. Due to differences in printers, etc., the ruler may not accurately reproduce to
e.
(in.)1 2 3 4 5 6
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 2
ULTIPLE-CHOICE ITEMS
ote: All percentages listed in thebles below the items have beenunded.
A.1.2.1
Which shows 125.47 written in words?
A one hundred twenty-five and four sevenths
B one hundred twenty-five and forty sevenths
C one hundred twenty-five and forty-seven tenths
D one hundred twenty-five and forty-seven hundredths
.2.2
Bella’s height is 128.45ntimeters.
Which digit is in the tenths place?
A 2 tens place
A.1.3.3
3. Cameron saw the 4 fractions below.
1 7 6 4} } } }4 12 8 6
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 3
B
C
D
B
6
D
4
12
6
Which fraction is the greatest?
} smallest
7} next to smallest
8*C }
4} next to greatest
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 4
}
.5.1
Which drawing of a circle is4
aded?5
A
*
A.1.6.2
5. Ryan bought several cans of
tennis balls. Each can held 3
tennis balls. Which could be thetotal number of tennis balls Ryan
bought?
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 5
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 6
A
B
C
D
B
4 shaded and 5 unshaded
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 7
A
B
C
*
D
2
8
–
3
C A.2.1.2
shaded } not } be permitted to use a calculator on item6.5 5
6. Subtract:
D 9 1} }16 4
5
}16
1 subtracted numerators and used 16 as}
denominator, getting 8/16 or 1/2
5 correctly changed numerator of 2nd fraction}
to 4, but changed both denominators to
2 subtracted numerators and denominator}
getting 8/12 or 2/3
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 8
.1.1
Which unit of measure would be best to
use to measure the thickness of
a penny?
A meter too large
B centimeter too large
C kilometer too largeD millimeter *
.1.1
Use the
figure
below
to
answer
estion 8.
B.2.2.2
Use the rectangle below to
answer question 9.
4 cm
3 cm
9. What is the area of the rectangle?
A 7 cm2 added two sides
B 12 cm2 *
C 14 cm2 perimeter
D 24 cm2twice area
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 9
}}
8.
Using your ruler, what is thelength of the paper clip?
A 118 B 1
3
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Grade 5 Mathematics Item Sampler Supplement 2009–2010 10
}
}
8
C 148
D 158
inches *
inches misread ruler
inches counted down 5/8 from 2
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 11
.1.2
. Which statement about
rectangles is true?
A All rectangles have 4 sides of
the same length.
C.2.1.1
11. Irene drew the shape and the
point shown below.
true for squares
B All rectangles have 4 angles of the
same measure.*
C All rectangles have only 1 pair of
Irene rotated the shape about the
point. Which shows only a rotation (turn) of
the shape about the point?
A
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 12
parallel sides
D All
perpendicular sides.
thought
of a
trapezoid
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 13
slide and
C
slide
D *
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 14
.1.1
12. Alyssa created the
pattern shown below
using toothpicks.
The pattern continues. Exactly how many toothpicks are in Figure 8 in the pattern?
A 11 next in the pattern
B 15saw a difference of 6 from figure
1 to figure 4, so added 6 to 9
C 17 *
D 18 doubled the number in figure 4
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Grade 5 Mathematics Item Sampler Supplement 2009–2010 15
.2.1
. Karen is playing a number game.
The rule is: multiply by 2 for the next
number, then add 8 for the numberafter that. The pattern continues.
Which sequence of numbers follows
the rule?
A
B
C 7, 14, 28, 56, 112, 224, 448
multiplied by 2
D.2.1.1
14. The equation below is used to find the
number of model cars ( x ) in Carlos’s
model car collection.
x ÷ 39 = 3
How many cars are in Carlos’s
collection, x ?
A 13 39/3
B 36 39 2 3
C 42 39 1 3
D 117 *
D 12, 24, 32, 64, 72, 144, 152
*
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 16
2.1.2
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 17
. The total number of days without snow
for 6 cities is listed below.
165, 165, 165, 171, 172,175
What is the mode of the set of data?
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 18
.1.1
. On which spinner would a player be least likely to land on “Lose Turn”?
A
Move 1
B
LoseTurn
two sections are equal size;
*confuses equally with least
C
Move 2 Move 3
D
Move1
LoseTurn
Move2
Move 3
Move 1
LoseTur n
LT Move 3
Turn
LoseTurn
Move
1
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Grade 5 Mathematics Item Sampler Supplement 2009–2010 19
82
chosethe circlewith thesmallest 11}
“LoseTurn”
sections
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 20
OPEN-ENDED ITEM
A.2
17. Mr. Stevens bought 15 books for his store. He paid $11 for each book. He
then sold all 15 books for $25 each.
A. What is the difference between the total amount of money Mr. Stevens sold
the books for and the total amount of money he paid for the books? Show or
explain all your work.
TO THE NEXT PAGE TO FINISH THE QUESTION.
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 21
17. Continued . Please refer to the previous page for task explanation.
Mr. Stevens has $220 to purchase books at $8 each (taxincluded).
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 22
B. How many books can Mr. Stevens buy? Show or explain all your
work.
ScorePoint 4
ScorePoint 3
ScorePoint 2
ScorePoint 1
ScorePoint 0
29% 18% 21% 20% 12%
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Grade 5 Mathematics Item Sampler Supplement 2009–2010 23
EM-SPECIFIC SCORING GUIDELINE
m #17
s item will be reported under Category A, Numbers and Operations.
essment Anchor:
A.2– Understand the meanings of operations, use operations and understand how they relate to eachother.
cific Eligible Content addressed by this item:
A.2.1.1– Solve problems involving addition, subtraction, multiplication and division of whole numbers(multipliers up to 2 digits – divisors one digit) and decimals including money (answer throughhundredths – no division with decimals).
A.2.1.3– Choose the correct operation(s) to solve a problem (no more than 2 operations).
A.3.1.1– Round whole numbers through millions and decimals through hundredths.
ring Guide:
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Grade 5 Mathematics Item Sampler Supplement 2009–2010 24
m #17
p Scoring Response:
core points)1 point for correct answer
1 point for complete support (.5 for correct, but incomplete, support)
core points)
1 point for correct answer 1 point for complete support (.5 for correct, but incomplete, support)
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Grade 5 Mathematics Item Sampler Supplement 2009–2010 25
OPEN-ENDED RESPONSES
17. Mr. Stevens bought 15 books for his store. He paid $11 for each book. He
then sold all 15 books for $25 each.
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 26
A. What is the difference between the total amount of money Mr. Stevens sold
the books for and the total amount of money he paid for the books? Show or
explain all your work.
The student has given a correct answer. The student has shown complete support.
TO THE NEXT PAGE TO FINISH THE QUESTION.
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MATHEMATICS
15Grade 5 Mathematics Item Sampler Supplement 2009-2010
17. Continued . Please refer to the previou s page for task explanation.
Mr. Stevens has $220 to ptuchase books at $8 each (tax included ).
B. How man y books can Mr. Stevens buy? Show or explai n all yotu work.
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MATHEMATICS
15Grade 5 Mathematics Item Sampler Supplement 2009-2010
C O x 'd - q ==-1lo
8 )( 8= 4-Tooi'I"\I.A.th
t t Y \ 0 q.VMl l& tO - n W h w \o tr
1- th\ t V\at.
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MATHEMATICS
16Grade 5 Mathematics Item Sampler Supplement 2009-2010
The student has give n a correct answer. The
student has shown complete support.
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Grade 5 Mathematics Item Sampler Supplement 2009–2010 16
A.2 Response Score: 3
17. Mr. Stevens bought 15 books for his store. He paid $11 for each book. He
then sold all 15 books for $25 each.
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 18
A. What is the difference between the total amount of money Mr. Stevens sold
the books for and the total amount of money he paid for the books? Show or
explain all your work.
The student has given an incorrect answer. The student has shown complete support.
TO THE NEXT PAGE TO FINISH THE QUESTION.
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 17
17. Continued. Please refer to the previous page for task explanation.
Mr. Stevens has $220 to purchase books at $8 each (tax
included).
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 18
B. How many books can Mr. Stevens buy? Show or explain all your
work.
The student has given a correct answer. The student has shown complete support.
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 19
A.2 Response Score: 3
17. Mr. Stevens bought 15 books for his store. He paid $11 for each book. He
then sold all 15 books for $25 each.
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 21
17. Continued. Please refer to the previous page for task explanation.
Mr. Stevens has $220 to purchase books at $8 each (tax
included).
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 22
B. How many books can Mr. Stevens buy? Show or explain all your
work.
The student has given an incorrect answer. The student has shown complete support.
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 23
A.2 Response Score: 2
17. Mr. Stevens bought 15 books for his store. He paid $11 for each book. He
then sold all 15 books for $25 each.
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 24
A. What is the difference between the total amount of money Mr. Stevens sold
the books for and the total amount of money he paid for the books? Show or
explain all your work.
The student has given an incorrect answer. The studenthas shown incorrect and incomplete support.
TO THE NEXT PAGE TO FINISH THE QUESTION.
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MATHEMATICS
21Grade 5 Mathematics Item Sampler Supplement 2009-2010
17. Continued . Please refer to the previou s page for task explanation.
Mr. Stevens has $220 to ptuchase books at $8 each (tax included ).
B. How man y books can Mr. Stevens buy? Show or explai n all yotu work.
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MATHEMATICS
21Grade 5 Mathematics Item Sampler Supplement 2009-2010
The student has give n a correct answer. The
student has shown complete support.
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Grade 5 Mathematics Item Sampler Supplement 2009–2010 22
A.2 Response Score: 2
17. Mr. Stevens bought 15 books for his store. He paid $11 for each book. He
then sold all 15 books for $25 each.
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 24
A. What is the difference between the total amount of money Mr. Stevens sold
the books for and the total amount of money he paid for the books? Show or
explain all your work.
The student has given an incorrect answer. The student has shown incorrect support.
TO THE NEXT PAGE TO FINISH THE QUESTION.
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MATHEMATICS
23Grade 5 Mathematics Item Sampler Supplement 2009-2010
17. Continued . Please refer to the previou s page for task explanation.
Mr. Stevens has $220 to ptuchase books at $8 each (tax included ).
B. How man y books can Mr. Stevens buy? Show or explai n all yotu work.
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23Grade 5 Mathematics Item Sampler Supplement 2009-2010
D { ?--l,
8l o _ 1 _ \ 0
The student has give n a correct answer. The
student has shown complete support.
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Grade 5 Mathematics Item Sampler Supplement 2009–2010 24
A.2 Response Score: 1
17. Mr. Stevens bought 15 books for his store. He paid $11 for each book. He
then sold all 15 books for $25 each.
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 26
A. What is the difference between the total amount of money Mr. Stevens sold
the books for and the total amount of money he paid for the books? Show or
explain all your work.
The student has given an incorrect answer. The studenthas shown correct but incomplete support.
TO THE NEXT PAGE TO FINISH THE QUESTION.
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 25
17. Continued. Please refer to the previous page for task explanation.
Mr. Stevens has $220 to purchase books at $8 each (tax
included).
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 26
B. How many books can Mr. Stevens buy? Show or explain all your
work.
The student has given a correct answer. The studenthas shown no support. Based on PSSA scoring rules,1½ points count as 1 point.
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Grade 5 Mathematics Item Sampler Supplement 2009–2010 27
A.2 Response Score: 1
17. Mr. Stevens bought 15 books for his store. He paid $11 for each book. He
then sold all 15 books for $25 each.
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Grade 5 Mathematics Item Sampler Supplement 2009–2010 28
A. What is the difference between the total amount of money Mr. Stevens sold
the books for and the total amount of money he paid for the books? Show or
explain all your work.
The student has given a partially correct but incompleteanswer. The student has shown correct but incompletesupport.
TO THE NEXT PAGE TO FINISH THE QUESTION.
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Grade 5 Mathematics Item Sampler Supplement 2009–2010 29
17. Continued. Please refer to the previous page for task explanation.
Mr. Stevens has $220 to purchase books at $8 each (tax
included).
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Grade 5 Mathematics Item Sampler Supplement 2009–2010 30
B. How many books can Mr. Stevens buy? Show or explain all your
work.
The student has given an incorrect answer. The student has shown incorrect support.
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A.2 Response Score: 0
17. Mr. Stevens bought 15 books for his store. He paid $11 for each book. He
then sold all 15 books for $25 each.
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 32
A. What is the difference between the total amount of money Mr. Stevens sold
the books for and the total amount of money he paid for the books? Show or
explain all your work.
The student has given an incorrect answer. The student has shown no support.
TO THE NEXT PAGE TO FINISH THE QUESTION.
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 33
17. Continued. Please refer to the previous page for task explanation.
Mr. Stevens has $220 to purchase books at $8 each (tax
included).
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 34
B. How many books can Mr. Stevens buy? Show or explain all your
work.
The student has given an incorrect answer. The student has shown no support.
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MATHEMATICS
Grade 5 Mathematics Item Sampler Supplement 2009–2010 35
UMMATIVE DATA TABLE
ltiple-Choice Items
en-Ended Item
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Mathematics
Grade 5Item and Scoring Sampler Supplement