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Assessment of Reading, Writing and Mathematics: Junior Division Released 2013 Assessment: Mathematics Item-Specific Rubrics and Sample Student Responses with Annotations EQAO, 2 Carlton Street, Suite 1200, Toronto, ON M5B 2M9 1-888-327-7377 • Web site: www.eqao.com • © 2013 Queen’s Printer for Ontario

Released 2013 Assessment: Mathematics€¦ · Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 8 Code 10 Annotation: Response demonstrates too much emphasis

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Page 1: Released 2013 Assessment: Mathematics€¦ · Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 8 Code 10 Annotation: Response demonstrates too much emphasis

EQAO, 2 Carlton Street, Suite 1200, Toronto, ON M5B 2M9 • 1-888-327-7377 • Web site: www.eqao.com • © 2011 Queen’s Printer for Ontario

EQAO, 2 Carlton Street, Suite 1200, Toronto, ON M5B 2M9 • 1-888-327-7377 • Web site: www.eqao.com • © 2011 Queen’s Printer for Ontario

Assessment of Reading, Writing and Mathematics:

Junior Division

Released 2013 Assessment: Mathematics

Item-Specific Rubrics and Sample

Student Responses with Annotations

EQAO, 2 Carlton Street, Suite 1200, Toronto, ON M5B 2M9 • 1-888-327-7377 • Web site: www.eqao.com • © 2013 Queen’s Printer for Ontario

Page 2: Released 2013 Assessment: Mathematics€¦ · Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 8 Code 10 Annotation: Response demonstrates too much emphasis

Scoring Guide for Junior Mathematics Open-Response (2013)

Section 1, Question 8

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

Thinking process to determine how many grams of potatoes the store has left 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

Thinking process to determine how many grams of potatoes the store has left 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

Thinking process to determine how many grams of potatoes the store has left 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

Thinking process to determine how many grams of potatoes the store has left 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

Page 3: Released 2013 Assessment: Mathematics€¦ · Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 8 Code 10 Annotation: Response demonstrates too much emphasis

Scoring Guide for Junior Mathematics Open-Response (2013)

Section 1, Question 8

Code 10

Annotation:

Response demonstrates too much emphasis on unimportant elements of the problem; inaccurate

calculations are shown for all steps with incorrect conversion from kilograms to grams shown in

conclusion.

Page 4: Released 2013 Assessment: Mathematics€¦ · Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 8 Code 10 Annotation: Response demonstrates too much emphasis

Scoring Guide for Junior Mathematics Open-Response (2013)

Section 1, Question 8

Annotation:

Response demonstrates identification of some of the important elements of the problem; accurate

calculations are shown for all steps but conversion from grams to kilograms is incorrect (572 g converted

to 5.72 kg instead of 0.572 kg) and answer (4.06) is in kilograms instead of grams.

.

Code 20

Page 5: Released 2013 Assessment: Mathematics€¦ · Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 8 Code 10 Annotation: Response demonstrates too much emphasis

Scoring Guide for Junior Mathematics Open-Response (2013)

Section 1, Question 8

Annotation:

Response demonstrates identification of most of the important elements of the problem; accurate

conversions and calculations are shown for all steps but answer (9.208) is in kilograms instead of grams.

Code 30

Page 6: Released 2013 Assessment: Mathematics€¦ · Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 8 Code 10 Annotation: Response demonstrates too much emphasis

Scoring Guide for Junior Mathematics Open-Response (2013)

Section 1, Question 8

Annotation:

Response demonstrates a thorough understanding of the relationships between all of the important

elements of the problem; accurate conversions and calculations are shown for all steps and answer (9208)

is in grams.

Code 40

Page 7: Released 2013 Assessment: Mathematics€¦ · Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 8 Code 10 Annotation: Response demonstrates too much emphasis

Scoring Guide for Junior Mathematics Open-Response (2013)

Section 1, Question 9

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 rotate a hexagon 90⁰ counter-clockwise shows limited

effectiveness due to

misunderstanding of concepts

incorrect selection or misuse of procedures

20

Application of knowledge and skills to rotate a hexagon 90⁰ counter-clockwise shows some effectiveness

due to

partial understanding of the concepts

errors and/or omissions in the application of the procedures

30

Application of knowledge and skills to rotate a hexagon 90⁰ counter-clockwise shows considerable

effectiveness due to

an understanding of most of the concepts

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

40

Application of knowledge and skills to rotate a hexagon 90⁰ counter-clockwise 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)

Page 8: Released 2013 Assessment: Mathematics€¦ · Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 8 Code 10 Annotation: Response demonstrates too much emphasis

Scoring Guide for Junior Mathematics Open-Response (2013)

Section 1, Question 9

Code 10

Annotation:

Response demonstrates misuse of procedures; correctly draws the image of the hexagon with most points

labeled accurately but image is rotated on Point A instead of about Point X, 180 instead of 90 and with

reversed coordinates for the image shown of Point C (10, 6).

Page 9: Released 2013 Assessment: Mathematics€¦ · Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 8 Code 10 Annotation: Response demonstrates too much emphasis

Scoring Guide for Junior Mathematics Open-Response (2013)

Section 1, Question 9

Annotation:

Response demonstrates partial understanding of the concepts; correctly draws the image of the hexagon

but image is rotated on Point X and 180 instead of 90 about Point X and labeled inaccurately with

accurate coordinates for the image shown of Point C (8, 12).

Code 20

Page 10: Released 2013 Assessment: Mathematics€¦ · Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 8 Code 10 Annotation: Response demonstrates too much emphasis

Scoring Guide for Junior Mathematics Open-Response (2013)

Section 1, Question 9

Annotation:

Response demonstrates a minor error in the application of the procedures; correctly draws and labels the

image of the hexagon but image is rotated on Point X instead of about Point X with accurate coordinates

for the image shown of Point C (11, 9).

Code 30

Page 11: Released 2013 Assessment: Mathematics€¦ · Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 8 Code 10 Annotation: Response demonstrates too much emphasis

Scoring Guide for Junior Mathematics Open-Response (2013)

Section 1, Question 9

Annotation:

Response demonstrates an accurate application of the procedures; correctly draws and labels the image of

the hexagon and shows accurate coordinates for the image of Point C.

Code 40

Page 12: Released 2013 Assessment: Mathematics€¦ · Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 8 Code 10 Annotation: Response demonstrates too much emphasis

Scoring Guide for Junior Mathematics Open-Response (2013)

Section 1, Question 10

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 determine which colours have the same probability of

being spun on Spinner A and Spinner B shows limited effectiveness due to

misunderstanding of concepts

incorrect selection or misuse of procedures

20

Application of knowledge and skills to determine which colours have the same probability of

being spun on Spinner A and Spinner B shows some effectiveness due to

partial understanding of the concepts

errors and/or omissions in the application of the procedures

30

Application of knowledge and skills to determine which colours have the same probability of

being spun on Spinner A and Spinner B shows considerable effectiveness due to

an understanding of most of the concepts

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

40

Application of knowledge and skills to determine which colours have the same probability of

being spun on Spinner A and Spinner B 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)

Page 13: Released 2013 Assessment: Mathematics€¦ · Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 8 Code 10 Annotation: Response demonstrates too much emphasis

Scoring Guide for Junior Mathematics Open-Response (2013)

Section 1, Question 10

Code 10

Annotation:

Response demonstrates misunderstanding of concepts; correct conclusion of one colour (red) only and

shows number of sections on Spinner A and Spinner B for red but does not make a comparison.

Page 14: Released 2013 Assessment: Mathematics€¦ · Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 8 Code 10 Annotation: Response demonstrates too much emphasis

Scoring Guide for Junior Mathematics Open-Response (2013)

Section 1, Question 10

Annotation:

Response demonstrates omissions in the application of the procedures; correct conclusion of one colour

(red) only and compares number of sections on Spinner A and Spinner B for red but no fractional

language or equivalent to describe probability.

Code 20

Page 15: Released 2013 Assessment: Mathematics€¦ · Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 8 Code 10 Annotation: Response demonstrates too much emphasis

Scoring Guide for Junior Mathematics Open-Response (2013)

Section 1, Question 10

Annotation:

Response demonstrates minor omissions in the application of the procedures; correct conclusion of one

colour (yellow) only and compares fractional amounts on Spinner A and Spinner B.

Code 30

Page 16: Released 2013 Assessment: Mathematics€¦ · Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 8 Code 10 Annotation: Response demonstrates too much emphasis

Scoring Guide for Junior Mathematics Open-Response (2013)

Section 1, Question 10

Annotation:

Response demonstrates a thorough understanding of the concepts; correct conclusion of red and yellow

and compares fractional amounts on Spinner A and Spinner B for both colours to describe probability.

Code 40

Page 17: Released 2013 Assessment: Mathematics€¦ · Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 8 Code 10 Annotation: Response demonstrates too much emphasis

Scoring Guide for Junior Mathematics Open-Response (2013)

Section 1, Question 11

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

Thinking process to determine how much money the class will gain per apple 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

Thinking process to determine how much money the class will gain per apple 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

Thinking process to determine how much money the class will gain per apple 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

Thinking process to determine how much money the class will gain per apple 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

Page 18: Released 2013 Assessment: Mathematics€¦ · Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 8 Code 10 Annotation: Response demonstrates too much emphasis

Scoring Guide for Junior Mathematics Open-Response (2013)

Section 1, Question 11

Code 10

Annotation:

Response demonstrates minimal evidence of a solution process; accurate calculation is shown for the

total number of apples (72) but inaccurate calculations are shown to determine the amount gained per

apple.

Page 19: Released 2013 Assessment: Mathematics€¦ · Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 8 Code 10 Annotation: Response demonstrates too much emphasis

Scoring Guide for Junior Mathematics Open-Response (2013)

Section 1, Question 11

Annotation:

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

problem; accurate calculations are shown for the total number of apples (72), amount charged for all

apples ($54) but no calculations shown for the cost per apple or the amount gained per apple.

Code 20

Page 20: Released 2013 Assessment: Mathematics€¦ · Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 8 Code 10 Annotation: Response demonstrates too much emphasis

Scoring Guide for Junior Mathematics Open-Response (2013)

Section 1, Question 11

Annotation:

Response demonstrates a solution process that is nearly complete; accurate calculations are shown for the

total number of apples (72), amount charged for all apples ($54), and money gained for all apples

($41.76) but no calculation shown for the amount gained per apple.

Code 30

Page 21: Released 2013 Assessment: Mathematics€¦ · Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 8 Code 10 Annotation: Response demonstrates too much emphasis

Scoring Guide for Junior Mathematics Open-Response (2013)

Section 1, Question 11

Annotation:

Response demonstrates a complete solution process; accurate calculations are shown for the total number

of apples (72), cost per apple (17 cents), and amount gained per apple (58 cents).

Code 40