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Alabama Reading and Mathematics Test

Annotated Packet

for

Mathematics

Grade 5

Dr. Joseph B. Morton State Superintendent of Education

Alabama State Department of Education

Montgomery, Alabama

Copyright © 2008 by Alabama State Department of Education. Copyright © 2008 by

NCS Pearson, Inc. All rights reserved. No part of this publication may be reproduced or

transmitted in any form or by any means, electronic or mechanical, including photocopy,

recording, or any information storage and retrieval system, without permission in writing

from the copyright owner except for the printing of complete pages with the copyright

notice, for instructional use and not for resale. Portions of this work were previously

published. Printed in the United States of America.

ARMT GRADE 5 MATHEMATICS

2 Copyright © 2008 by Alabama State Department of Education. Copyright © 2008 by

NCS Pearson, Inc. All rights reserved. Printed in the United States of America.

TABLE OF CONTENTS

Introduction 3

Glossary of Common Terms 4

Math Grade 5 Question

Question with description of an accurate response 5

Question Rubric 6

Question Samples of responses with annotations 7

Math Grade 5 Question

Question with description of an accurate response 16

Question Rubric 17

Question Samples of responses with annotations 18



NCS Pearson, Inc. All rights reserved. Printed in the United States of America. 3

INTRODUCTION

This document provides specific information about the open-ended questions on the

Alabama Reading and Mathematics Test (ARMT). It is intended to give an overview of

how responses to open-ended questions are scored and to provide responses at each score

point.

This document includes two open-ended questions from previous administrations of the

ARMT. Each open-ended question is followed by the scoring rubric and three responses

for each score point. Sample responses will include annotations and explanations on

scoring decisions.




GLOSSARY OF COMMON TERMS

Annotations: A brief explanation of why a paper has received the score it has,

emphasizing the specific ways it is representative of that score point and

sometimes pointing out what is lacking that may have made it a higher score

point.

Invalids: Refers to student responses which do not meet criteria for scorability. For

example, blank papers; off-task and/or off-topic papers; papers containing only

irrelevant marks or images. These papers receive a score of zero.

Item: A question for which a score or set of scores is to be recorded based on the

response.

Logic: The correct operation performed on the correct numbers. An error in

transcription or omission of numbers from a list leads to a lack of full logic.

Incorrect numbers resulting from a computation, transcription, or omission error

in an early part of a response are considered part of correct logic when

appropriately used in subsequent sections of the response.

Open-ended response: Complex assessment items/tasks that can be approached or

solved in more than one way and have more than one accurate response. Students

are asked to include reasons for their conclusions.

Rubric: Written descriptions of the performance evidence or behaviors expected at each

level or score point on the scale for open-ended items.

Score point: A numerical value representing the level of success a constructed response

achieves in relation to the rubric and the descriptors for each score point.




QUESTION

Accurate Response(s):

a. Chocolate stars, jawbreakers, licorice sticks: 1.082 + 1.004 + 0.998 = 3.084

b. Peppermints, licorice sticks, chocolate stars: 0.921 + 0.998 + 1.082 = 3.001

Any other correct answers will be accepted.




RUBRIC

Score

Points

RESPONSE ATTRIBUTES

3 All correct.

2 All logics are correct.

OR

All of part a or all of part b is correct.

1 One logic is correct.

OR

One or more answers are correct.

OR

One logic and one answer are correct.

0 None correct. (Also, blanks, rewrites problem, foreign language, illegible,

refusals, off tasks, etc. scored as invalid.)




Sample Paper 1

Score Point 1

A---The logic (addition of 3 feasible numbers) is correct and one answer

(the total) is correct, but no list is given. The student adds the weights of

the chocolate stars (1.092), jawbreakers (1.004), and peppermints (0.921).

The combined weight of these three candy selections is 3.017, which is

over 3 pounds. There is a transcription error, the chocolate stars weigh

1.082, not 1.092 pounds, but the answer is consistent with that mistake.

B---The logic and answer are missing. The student states “There is no

other way.”

According to the rubric, this response earned a score point of 1 because “One logic and one answer are correct.”




Sample Paper 2

Score Point 1


(the total) is correct, but no list is given. The student adds the weights of

the chocolate stars (1.082) and the licorice sticks (0.998). This totals to

2.080. The student then adds the weight of the peppermints (0.921). This

gives a correct answer of 3.001.

B---The logic (subtraction) is incorrect, and the answer is incorrect. The

student subtracts the weight of the gumballs (0.573) from the weight of

the licorice sticks (.998), reaching an answer of .425. The student then

subtracts this weight (.425) from the weight of the peppermints (0.921).

Even though the subtraction is done correctly in both steps of part b, no

credit may be given for a correct answer because the logic is faulty.

According to the rubric, this response earned a score point of 1 because

“One logic and one answer are correct.”




Sample Paper 3

Score Point 1

A---The logic (addition of 3 feasible numbers) is correct, but the answer

(total) is incorrect, plus no list is given. The student adds the weights of

the licorice sticks (0.998), chocolate stars (1.082), and peppermints

(0.921). The total is incorrect and the list is missing.

B---The logic and answers are missing.

According to the rubric, this response earned a score point of 1 because “One logic is correct.”




Sample Paper 4

Score Point 2

A---The logic (addition of 3 feasible numbers) is correct and the answers

(total and list) are correct. The student listed three candies, along with

three candy weights. The student adds chocolate stars (1.082),

jawbreakers (1.004), and licorice sticks (0.998) to a correct total of 3.084,

which is over 3 pounds.

B---Part b is not attempted. The “b” shown in the answer refers to the

addition of the part a candies.

According to the rubric, this response earned a score point of 2 because

“All of part a or all of part b is correct.”




Sample Paper 5

Score Point 2


(total) is correct. The student adds the weights of the chocolate stars

(1.082), licorice sticks (0.998), and peppermints (0.921). The combined

weight of these three candy selections when added together is 3.001,

which is over 3 pounds. No list is given.

B---The logic (addition of 3 feasible numbers) is correct and one answer

(total) is correct. The student adds the weights of the licorice sticks

(0.998), jawbreakers (1.004), and chocolate stars (1.082). The combined

weight of these three candy selections when added together is 3.084,

which is over 3 pounds. Again, no list is given.

According to the rubric, this response earned a score point of 2 because “All logics are correct.”




Sample Paper 6

Score Point 2


(total and list) are correct. The student adds the weights of the chocolate

stars (1.082), licorice sticks (0.998), and jawbreakers (1.004). The

combined weight of these three candy selections when added together is

3.084, which is over 3 pounds.

B---The logic (addition of 3 feasible numbers) is correct but the answers

(total and list) are partially correct. The student adds the weights of the

chocolate stars (1.082), peppermints (0.921), and jawbreakers (1.004).

The combined weight of these three candy selections when added together

is 3.007, which is over 3 pounds. The answer is missing the decimal point

and therefore wrong.

According to the rubric, this response earned a score point of 2 because “All of part a or all of part b is correct.”




Sample Paper 7

Score Point 3


(total and list) are correct. The student adds the weights of the licorice

sticks (0.998), chocolate stars (1.082), and jawbreakers (1.004). The

combined weight of these three candy selections when added together is


B---The logic is correct and the answers are correct. The student adds the

weights of the peppermints (0.921), chocolate stars (1.082), and

jawbreakers (1.004). The combined weight of these three candy

selections when added together is 3.007, which is over 3 pounds.

According to the rubric, this response earned a score point of 3 because all logics and answers are correct.




Sample Paper 8

Score Point 3

B---The logic is correct and the answers

are correct. The student adds the weights

of the peppermints (0.921), chocolate

stars (1.082), and jawbreakers (1.004).

The combined weight of these three

candy selections when added together is


A---The logic (addition of 3

feasible numbers) is correct and

the answers (total and list) are

correct. The student adds the

weights of the chocolate stars

(1.082), licorice sticks (0.998)

and jawbreakers (1.004). The

combined weight of these three

candy selections when added

together is 3.084, which is over

3 pounds.

According to the rubric, this response earned a score point of 3 because all

logics and answers are correct.

Note: Crossed out portions signify a “guess-and-check” method and are

ignored.




Sample Paper 9

Score Point 3

A---The logic (addition of 3 feasible numbers) is correct and the answers (total

and list) are correct. The student adds the weights of the chocolate stars (1.082),

licorice sticks (0.998) and jawbreakers (1.004). The combined weight of these

three candy selections when added together is 3.084, which is over 3 pounds.

B---The logic is correct and the answers are correct. The student adds the

weights of the chocolate stars (1.082), jawbreakers (1.004), and peppermints

(0.921). The combined weight of these three candy selections when added

together is 3.007, which is over 3 pounds.

According to the rubric, this response earned a score point of 3 because all

logics and answers are correct.




QUESTION

Accurate Response(s):

a. Fish

b. Reason 1: Some pets are easier to take care of than others, so classes choose those

pets as class pets.

Reason 2: The area available in the classroom may determine what pet a class

could have.

Any other plausible reasons consistent with the data shown are acceptable.




RUBRIC

Score

Points

RESPONSE ATTRIBUTES

3 All correct.

2 Both logics are correct.

OR

One logic is correct and the answer is correct.

OR

Partial logics are correct and the answer is correct.

1 One logic is correct.

OR

The answer is correct.

0 None correct. (Also, blanks, rewrites problem, foreign language, illegible,

refusals, off tasks, etc. scored as invalid.)




Sample Paper 10

Score Point 1

A---The answer (fish) is correct.

B---The logics (two plausible explanations) are not valid.

The prompt asks for reasons that could explain why students have

different types of pets, not why fish may be popular pets.

According to the rubric, a correct answer earns a score point of 1.




Sample Paper 11

Score Point 1

A---The answer is not attempted.

B---One logic (plausible explanation) is correct: “…because some people

like different pets and some like the same pets.”

The other explanation is not attempted.

According to the rubric, one correct logic earns a score point of 1.




Sample Paper 12

Score Point 1


B---The logics (two plausible explanations) are not attempted.

According to the rubric, a correct answer earns a score point of 1.




Sample Paper 13

Score Point 2


B---One logic (plausible explanation) is correct: “because everone

doesn’nt like the same animals.”


According to the rubric, a correct logic and answer earns a score point of 2.




Sample Paper 14

Score Point 2

A---The answer of “mouse” is incorrect.

B---The logics (two plausible explanations) are correct:

1) “The oppinion might be different who wanted what...”

2) “…maybe the some of the students that he surveyed were afraid or

allergic to that animal.”

According to the rubric, both logics correct earns a score point of 2.




Sample Paper 15

Score Point 2


B---One logic (plausible explanation) is correct: “They wher having a pet

show.”


According to the rubric, a correct logic and answer earns a score point of 2.




Sample Paper 16

Score Point 3


B---The logics (two plausible explanations) are correct: 1) “They could

be having show and tell day.” 2) “They could be working in groups to see

the differences in their pets.”

According to the rubric, having all correct earns a score point of 3.




Sample Paper 17

Score Point 3


B---The logics (two plausible explanations) are correct: 1) “Because it

gives studants more classroom helping jobs.” 2) “because it makes the

classroom more entertainable.” (This explanation was considered weak,

but acceptable.)





Sample Paper 18

Score Point 3


B---The logics (two plausible explanations) are correct:

1) “...Someone might be alergic...”

2) “…the class might of voted on a different animal”.


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