ky539010 gr6msamp kprep 3-8 tb sampler ma gr6...the list below shows the number of visits for each...

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S U C C E S S PROFICIENT & PREPARED FOR E V E R Y C H I L D GRADE K-PREP Kentucky Performance Rating For Educational Progress Developed for the Kentucky Department of Education by Pearson. Copyright © 2012 by the Kentucky Department of Education. Spring 2012 MATH SAMPLE ITEMS 6

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Page 1: KY539010 Gr6MSamp KPREP 3-8 TB Sampler MA gr6...The list below shows the number of visits for each of the 13 hours. Which box plot correctly displays the data about the number

S U C C E S SPROFICIENT & PREPARED FOR

EVERY CHILD

GRADE

K-PREPKentucky Performance Rating For Educational Progress

Developed for the Kentucky Department of Education by Pearson. Copyright © 2012 by the Kentucky Department of Education.

Spring 2012

MATHSAMPLEITEMS

6

Page 2: KY539010 Gr6MSamp KPREP 3-8 TB Sampler MA gr6...The list below shows the number of visits for each of the 13 hours. Which box plot correctly displays the data about the number

Kentucky Short-Answer QuestionsGeneral Scoring Guide

Score Point 1

Y r rr

Y

Blank Y

Score Point 0 Y r r

Score Point 2

Y

Yr

Y r

Page 2

Page 3: KY539010 Gr6MSamp KPREP 3-8 TB Sampler MA gr6...The list below shows the number of visits for each of the 13 hours. Which box plot correctly displays the data about the number

Score Point 4

You complete all important components of the question and communicate ideas clearly.

You demonstrate in-depth understanding of the relevant concepts and/or processes.

Where appropriate, you choose more efficient and/or sophisticated processes.

Where appropriate, you offer insightful interpretations or extensions (generalizations, applications, analogies).

You complete most important components of the question and communicate clearly.

You demonstrate an understanding of major concepts even though you overlook or misunderstand some less-important ideas or details.

You complete some important components of the question and communicate those components clearly.

You demonstrate that there are gaps in your conceptual understanding.

You show minimal understanding of the question.

You address only a small portion of the question.

Your answer is totally incorrect or irrelevant.

You did not give any answer at all.

Score Point 3

Score Point 2

Score Point 1

Score Point 0

Blank

Kentucky Extended-Response QuestionsGeneral Scoring Guide

Page 3

Page 4: KY539010 Gr6MSamp KPREP 3-8 TB Sampler MA gr6...The list below shows the number of visits for each of the 13 hours. Which box plot correctly displays the data about the number

Mathematics

Page 4

1Jamal wants to draw a righttriangle and label it JKL. He hasalready plotted points J and L.

The location of point K is:

• 10 units away from point J

• 12 units away from point L

Which coordinate pair couldbe the location of point K?

-4-6-8-10 108642

10

8

6

4

2

x0

y

J

L

-2-2

-4

-6

-8

-10

A (– , – )2 4

B (– , – )4 2

C 10 6,( )D 6 10,( )

Page 5: KY539010 Gr6MSamp KPREP 3-8 TB Sampler MA gr6...The list below shows the number of visits for each of the 13 hours. Which box plot correctly displays the data about the number

Mathematics

Page 5

2

Mr. Lee has a small apple orchard. There are 7 rows of trees with n trees in eachrow. Which two expressions show different ways to find the total number oftrees in Mr. Lee’s apple orchard?

A n n n n n n n n+ + + + + + +and 7B n n n n n n n n+ + + + + + •and 7

C n n n n n n n n• • • • • • +and 7

D n n n n n n n n• • • • • • •and 7

Page 6: KY539010 Gr6MSamp KPREP 3-8 TB Sampler MA gr6...The list below shows the number of visits for each of the 13 hours. Which box plot correctly displays the data about the number

Mathematics

Page 6

3A newspaper editor monitored the number of visits to his Web site for 13 consecutivehours. The list below shows the number of visits for each of the 13 hours.

Which box plot correctly displays the data about the number of visits to theeditor’s Web site?

3, 2, 8, 5, 9, 12, 15, 8, 5, 13, 11, 9, 7⎡⎣⎢

⎤⎦⎥

A

0 2 4 6 8 10 12 14 16

B

0 2 4 6 8 10 12 14 16

C

0 2 4 6 8 10 12 14 16

D

0 2 4 6 8 10 12 14 16

Page 7: KY539010 Gr6MSamp KPREP 3-8 TB Sampler MA gr6...The list below shows the number of visits for each of the 13 hours. Which box plot correctly displays the data about the number

Mathematics

Page 7

A

B

C

D

40

25

22

20

4A worker will install carpet on theshaded part of the rectangularfloor pictured below.

What is the total amount ofcarpet, in square yards, theworker needs?

2 yd

2 yd

5 yd3 yd

5 yd

Floor Space

5

If only the values within the

brackets are substituted for d,

which list contains only

values that would make the

inequality true?

6.5, 10, 12 12 , 16.5, 17 3

4{ }

d + <2 34

15

A 6 5. and 10

B 6 5 10 12

. , , and 12

C 12 12

16 5 34

, . , and 17

D 16 5 34

. and 17

Page 8: KY539010 Gr6MSamp KPREP 3-8 TB Sampler MA gr6...The list below shows the number of visits for each of the 13 hours. Which box plot correctly displays the data about the number

Mathematics

Page 8

6Coach Wendell recorded the number of football players at training camp each day forseveral days on the dot plot below.

Part A What is the difference between the interquartile range and the range ofthe data? Show your work or explain your thinking.

Part B Explain how the answer you gave in part A would be affected if youdeleted the lowest data point.

Number of Football Players Each Training Camp Day

X XXX

XX

XXX

X X

48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71

Each represents 1 day.X

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Page 9

Mathematics

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Page 10

MathematicsGRADE 6 —Mathematics

Annotated Student Response

SAMPLE 1-POINT RESPONSE

ANNOTATION – 1-POINT RESPONSE

The student demonstrates partial understanding. The student finds the correct range but makes no attempt to find the interquartile range.

The student describes the process used after removing the lowest value from the range.

Overall, the student earns 1 point.

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Page 11

Mathematics

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Page 12

7

A package of six construction toys costs $14.94, not including tax. If purchasedseparately, each truck is $2.99, not including tax. What is the difference in theunit rate and the individual rate? Show your work or explain your thinking.

Mathematics

Page 13: KY539010 Gr6MSamp KPREP 3-8 TB Sampler MA gr6...The list below shows the number of visits for each of the 13 hours. Which box plot correctly displays the data about the number

Mathematics

Page 13

Page 14: KY539010 Gr6MSamp KPREP 3-8 TB Sampler MA gr6...The list below shows the number of visits for each of the 13 hours. Which box plot correctly displays the data about the number

Page 14

Mathematics

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Page 15

Mathematics

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Page 16

Mathematics

8A coordinate plane with points P and S is shown below.

Part A Plot point Q so that it is a reflection of point P across the y-axis. Whatare the coordinates of point Q? Explain your thinking.

Part B The coordinates of point S are Explain how point S is related topoint P.

Part C Point R is plotted on the coordinate graph so that line segments SR andPQ are a reflection of each other. What would have to be the coordinatesof point R? Explain your thinking.

-2-3-4-5-6 654321

6

5

4

3

2

1x

-1-2-3-4-5-6

0

y

-1

P

S

(– , – ).3 2

Page 17: KY539010 Gr6MSamp KPREP 3-8 TB Sampler MA gr6...The list below shows the number of visits for each of the 13 hours. Which box plot correctly displays the data about the number

Page 17

Mathematics

Page 18: KY539010 Gr6MSamp KPREP 3-8 TB Sampler MA gr6...The list below shows the number of visits for each of the 13 hours. Which box plot correctly displays the data about the number

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Mathematics

Page 19: KY539010 Gr6MSamp KPREP 3-8 TB Sampler MA gr6...The list below shows the number of visits for each of the 13 hours. Which box plot correctly displays the data about the number

Mathematics

Page 20: KY539010 Gr6MSamp KPREP 3-8 TB Sampler MA gr6...The list below shows the number of visits for each of the 13 hours. Which box plot correctly displays the data about the number

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Mathematics

Page 21: KY539010 Gr6MSamp KPREP 3-8 TB Sampler MA gr6...The list below shows the number of visits for each of the 13 hours. Which box plot correctly displays the data about the number

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Mathematics

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Page 22

MathematicsGRADE 6 —Mathematics

ANNOTATION - 3-POINT RESPONSE

A The student correctly plots the given point, gives its coordinates, and explains why this is correct. (1.5 points)

B The student correctly describes the relationship between points S and P. (1.5 points)

C The student correctly plots point R and gives its coordinates, but gives an imprecise explanation (“square” is incorrect) of why this is correct. (0.5 points)

Overall, the student earns 3.5 points.

Page 23: KY539010 Gr6MSamp KPREP 3-8 TB Sampler MA gr6...The list below shows the number of visits for each of the 13 hours. Which box plot correctly displays the data about the number

Mathematics

Page 24: KY539010 Gr6MSamp KPREP 3-8 TB Sampler MA gr6...The list below shows the number of visits for each of the 13 hours. Which box plot correctly displays the data about the number

Page 24

Mathematics

Page 25: KY539010 Gr6MSamp KPREP 3-8 TB Sampler MA gr6...The list below shows the number of visits for each of the 13 hours. Which box plot correctly displays the data about the number

Mathematics

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Mathematics

Page 27: KY539010 Gr6MSamp KPREP 3-8 TB Sampler MA gr6...The list below shows the number of visits for each of the 13 hours. Which box plot correctly displays the data about the number

Mathematics

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Mathematics

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Mathematics

QuestionNumber

1

2

3

4

5

6

7

8

Key

D

B

C

B

A

NA

NA

NA

DOK*

2

2

2

2

2

3

2

2

KCAS Primary Standard**

6.G.3

6.EE.4

6.SP.4

6.G.1

6.EE.5

6.SP.5c

6.RP.3b

6.NS.6b

*DOK is the abbreviation for Depth of Knowledge. Please note that DOK is associated to the

complexity level of an assessment item and is not aligned to the standard. Further

information regarding DOK can be accessed on the Kentucky Department of Education

website: http://www.education.ky.gov/kde/instructional+resources/curriculum+documents+and+

resources/core+content+for+assessment/core+content+for+assessment+4.1/content+specific+core

+content+for+assessment+dok+support+materials.htm.

**Further information regarding Common Core Standards can be accessed on the Common

Core website: http://www.corestandards.org.

Item Information