released 2012 assessment: mathematics

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Assessment of Reading, Writing and Mathematics:

Primary Division

Released 2012 Assessment: Mathematics

Item-Specific Rubrics and Sample

Student Responses with Annotations


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Scoring Guide for Primary Mathematics Open-Response

Section 1 - Question 7

Code Descriptor

B Blank: nothing written or drawn in response to the question

I

Illegible: cannot be read; completely crossed out/erased; not written in English

Irrelevant content: does not attempt assigned question (e.g., comment on the task,

drawings, “?”, “!”, “I don’t know”)

Off topic: no relationship of written work to the question

10

Application of knowledge and skills to use relationships between values of coins to determine

the coins Cindy and Sanjeet could have shows limited effectiveness due to

misunderstanding of concepts

incorrect selection or misuse of procedures

20


the coins Cindy and Sanjeet could have shows some effectiveness due to

partial understanding of the concepts

errors and/or omissions in the application of the procedures

30


the coins Cindy and Sanjeet could have shows considerable effectiveness due to

an understanding of most of the concepts

minor errors and/or omissions in the application of the procedures

40


the coins Cindy and Sanjeet could have shows a high degree of effectiveness due to

a thorough understanding of the concepts

an accurate application of the procedures (any minor errors and/or omissions do not

detract from the demonstration of a thorough understanding)



Code 10

Annotation:

Student demonstrates a misunderstanding of concepts; number of coins drawn match each title on the

chart but neither total $1.75 nor is total of all coins $1.75.

Scoring Guide for Primary Mathematics Open-Response Section 1 - Question 7

Annotation: Response demonstrates errors in the application of the procedures; number of coins drawn match each title on the chart, neither totals $1.75 but totals shown for Cindy and Sanjeet match coins drawn for each.

Code 20



Annotation:

Response demonstrates minor errors in the application of the procedures; number of coins drawn match

each title on the chart and total value represented is $1.75 for Cindy but is not $1.75 for Sanjeet.

Code 30



Annotation:

Response demonstrates an accurate application of the procedures; number of coins drawn match each

title on the chart and value represented for both Cindy and Sanjeet is $1.75 (Note: not necessary that total

$1.75 be written).

.

Code 40



Code Descriptor


I





10

Application of knowledge and skills to identify and describe number patterns involving

addition on a calendar shows limited effectiveness due to



20


addition on a calendar shows some effectiveness due to



30


addition on a calendar shows considerable effectiveness due to



40


addition on a calendar shows a high degree of effectiveness due to



detract from the demonstration of a thorough understanding



Annotation:

Response demonstrates a misuse of procedures; shows inconsistent pattern (counting by 2, 3 and 4) that

does not stop after 11 chapters.

Code 10



Annotation:

Response demonstrates errors in the application of the procedures; shows counting by twos on calendar

with omission of chapter 4 and conclusion (No) does not match work shown.

Code 20



Annotation:

Response demonstrates a minor error in the application of the procedures; shows counting by twos

10 times (instead of threes) with a correct conclusion and explanation based on work shown.

Code 30



Annotation:

Response demonstrates a thorough understanding of the concepts; shows counting by threes 10 times on

the calendar with a correct conclusion and explanation (book would be finished May 1st).

Code 40



Code Descriptor


I





10

Problem-solving process to determine the tallies for 4 and 6 so that the only mode of the data is

4 shows limited effectiveness due to

minimal evidence of a solution process

limited identification of important elements of the problem

too much emphasis on unimportant elements of the problem

no conclusions presented

conclusion presented without supporting evidence

20


4 shows some effectiveness due to

an incomplete solution process

identification of some of the important elements of the problem

some understanding of the relationships between important elements of the problem

simple conclusions with little supporting evidence

30


4 shows considerable effectiveness due to

a solution process that is nearly complete

identification of most of the important elements of the problem

a considerable understanding of the relationships between important elements of the

problem

appropriate conclusions with supporting evidence

40


4 shows a high degree of effectiveness due to

a complete solution process

identification of all important elements of the problem

a thorough understanding of the relationships between all of the important elements of the

problem

appropriate conclusions with thorough and insightful supporting evidence



Code 10

Annotation:

Response demonstrates a limited identification of important elements of the problem; tally marks in chart

total 24 but no calculation for tallies required for 4 and 6 and no evidence of understanding mode.



Annotation:

Response demonstrates some understanding of the relationships between important elements of the

problem; shows total of tally marks (24) and 16 more tallies required to represent a total of 40 students

with no evidence of understanding mode but distributes these equally between 4 and 6 making 5 the

mode.

Code 20



Annotation:

Response demonstrates an identification of most of the important elements of the problem; shows total of

tally marks in chart (24) and the number of tallies needed to make 40; 16 tally marks distributed between

4 and 6 making both 4 and 5 the mode (bimodal).

Code 30



Annotation:

Response demonstrates a complete solution process; shows total for tally marks in chart subtracted from

40 (16); 16 tally marks distributed between 4 and 6 with the most tallies in 4 and a clear explanation of

mode (“I had to put more than 10 tallys for 4”).

Code 40



Code Descriptor


I


Irrelevant content: does not attempt assigned question (e.g., comment on the task, drawings,

“?”, “!”, “I don’t know”)


10

Problem-solving process to compare angles bigger than, smaller than, and equal to a right angle

shows limited effectiveness due to






20


shows some effectiveness due to





30


shows considerable effectiveness due to




problem


40


shows a high degree of effectiveness due to




problem




Code 10

Annotation:

Response demonstrates minimal evidence of a solution process; shows one pattern block that matches the

title of the column (trapezoid) but angle which is bigger than a right angle is not indicated.



Annotation:

Response demonstrates some understanding of the relationships between important elements of the

problem; shows one pattern block that matches the title of the column (Dimond) with required angle

clearly indicated.

Code 20



Annotation:

Response demonstrates an identification of most of the important elements of the problem; shows three

pattern blocks, each matching the title of the column with required angles for two of the pattern blocks

(the rhombus and square) clearly indicated (marked angle for trapezoid incorrect).

Code 30



Annotation:

Response demonstrates a complete solution process; shows three pattern blocks each matching the title of

the column with required angles clearly indicated.

Code 40



Code Descriptor


I


Irrelevant content: does not attempt assigned question

(e.g., comment on the task, drawings, “?”, “!”, “I don’t know”)


10

Application of knowledge and skills to describe and draw paths on a grid shows limited

effectiveness due to



20

Application of knowledge and skills to describe and draw paths on a grid shows some




30

Application of knowledge and skills to describe and draw paths on a grid shows considerable




40

Application of knowledge and skills to describe and draw paths on a grid shows a high degree of



an accurate application of the procedures (any minor errors and/or omissions do not detract

from the demonstration of a thorough understanding)



Annotation:

Response demonstrates a misunderstanding of concepts; description of path from D to E omits direction

and number of units, shortest path drawn from E to F (diagonal line also drawn) but description only

states walking east with no other direction and no number of units.

Code 10



Annotation:

Response demonstrates errors in the application of the procedures; errors in direction and number of

units (2 left instead of 3 right, 3 down instead of 4 down and 1 right instead of 1 left) in description of

path from D to E with shortest path drawn from E to F, but errors in direction and number of units (6 left

instead of 6 right and 4 up instead of 5 up) in description of path from E to F.

Code 20



Annotation:

Response demonstrates minor errors in the application of the procedures; units correct but incorrect

direction (3 units left instead of 3 units right and 1 unit right instead of 1 unit left) in description of path

from D to E, shortest path drawn from E to F with correct units but incorrect direction (6 left instead of 6

right).

Code 30



Annotation:

Response demonstrates an accurate application of the procedures; correct description for path from D to

E with shortest path drawn and matching description from E to F.

Code 40



Code Descriptor


I





10

Application of knowledge and skills to display data on a graph shows limited effectiveness due

to



20

Application of knowledge and skills to display data on a graph shows some effectiveness due

to



30

Application of knowledge and skills to display data on a graph shows considerable




40

Application of knowledge and skills to display data on a graph shows a high degree of




detract from the demonstration of a thorough understanding)



Code 10

Annotation:

Response demonstrates a misunderstanding of concepts; the scale is not completed with errors in

representing the data from the pictograph (no bars correct).



Annotation:

Response demonstrates errors in the application of the procedures; the scale is extended correctly with

correct titles and labels included but the data from the pictograph is represented inaccurately (one tree in

pictograph represents one box in bar graph).

Code 20



Annotation:

Response demonstrates a minor error in the application of the procedures; the scale is extended correctly,

with one title and correct labels included and most data from the pictograph is accurately represented

(bars for Plant a Tree and Make Posters correct).

Code 30



Code 40

Annotation:

Response demonstrates an accurate application of the procedures; the scale is extended correctly, with

correct titles and labels included and the data from the pictograph is accurately represented.



Code Descriptor


I





10

Problem-solving process to determine the relationships between minutes and hours and days

and weeks shows limited effectiveness due to






20


and weeks shows some effectiveness due to





30


and weeks shows considerable effectiveness due to




problem


40


and weeks shows a high degree of effectiveness due to




problem




Annotation:

Response demonstrates too much emphasis on unimportant elements of the problem; 30 is added six

times to arrive at an incorrect total of 18 and then 18 is added to 24 to arrive at an incorrect answer of 42

hours.

Code 10



Annotation:

Response demonstrates an incomplete solution process; evidence of understanding 7 days in 1 week

(lists days) but no evidence of understanding 60 minutes in one hour and no total minutes for 2 weeks

and although conclusion is correct, no justification of why 210 minutes is more than 6 hours.

Code 20



Annotation:

Response demonstrates a considerable understanding of the relationships between important elements of

the problem; evidence of understanding 14 days in 2 weeks (fourteen 30s) and shows 7 groups of 60 with

correct conclusion but no connection between the 7 groups of 60 and 6 hours.

Code 30



Annotation:

Response demonstrates a complete solution process; evidence of understanding 14 days in 2 weeks

(fourteen 30s) and 60 minutes in one hour (circles) with correct conclusion and with justification

showing total for number of hours read (7 hours) and comparison to 6 hours.

Code 40



Code Descriptor


I





10

Problem-solving process to determine how many piles of 10 books Kyle can make shows

limited effectiveness due to






20

Problem-solving process to determine how many piles of 10 books Kyle can make shows some






30

Problem-solving process to determine how many piles of 10 books Kyle can make shows

considerable effectiveness due to




problem


40

Problem-solving process to determine how many piles of 10 books Kyle can make shows a

high degree of effectiveness due to




problem




Code 10

Annotation:

Response demonstrates minimal evidence of a solution process; shows 9 groupings of 10 with statement,

“Kyle made 9 piles of books and 7 extra” with no evidence to support 9 piles.



Annotation:

Response demonstrates an incomplete solution process; the number of tens from each bin are shown but

omits the extra books with an incorrect answer of 10 piles.

Code 20



Code 30

Annotation:

Response demonstrates a solution process that is nearly complete; shows the number of tens from each

bin and tallies for the ones (16 tallies) but with an incorrect answer of 10 piles.



Code 40

Annotation:

Response demonstrates a complete solution process; the number of books in each bin are added to total

116 with a correct answer of 11 piles (11 pils and 6 lose books).

released 2012 assessment: mathematics

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