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Assessment of Reading, Writing and Mathematics: Primary Division Released 2015 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 • © 2015 Queen’s Printer for Ontario

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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: Primary Division

     

Released 2015 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 • © 2015 Queen’s Printer for Ontario

Scoring Guide for Primary Mathematics Open-Response (2015) 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

Application of knowledge and skills to interpret data from a pictograph and display the data in a bar graph shows limited effectiveness due to

misunderstanding of concepts

incorrect selection or misuse of procedures

20

Application of knowledge and skills to interpret data from a pictograph and display the data in a bar graph 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 interpret data from a pictograph and display the data in a bar graph 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 interpret data from a pictograph and display the data in a bar graph 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)

 

 

Scoring Guide for Primary Mathematics Open-Response (2015) Section 1, Question 8

   

Annotation: Response demonstrates misuse of procedures; the scale is not extended, but labels are included (above bars) and the data from the pictograph is inaccurately represented (no bars correct).

Code 10

Scoring Guide for Primary Mathematics Open-Response (2015) Section 1, Question 8

   

Code 20

Annotation: Response demonstrates errors in the application of the procedures; the scale is extended correctly, with correct labels included and two bars (Elephant and Penguin) from the pictograph are accurately represented.

Scoring Guide for Primary Mathematics Open-Response (2015) Section 1, Question 8

   

Annotation: Response demonstrates a minor error in the application of the procedures; the scale is extended correctly, with correct labels included and three bars (Monkey, Elephant and Penguin) from the pictograph are accurately represented.

Code 30

Scoring Guide for Primary Mathematics Open-Response (2015) Section 1, Question 8

   

Annotation: Response demonstrates a thorough understanding of the concepts; the scale is extended correctly, with correct labels included and all four bars from the pictograph are accurately represented.

Code 40

Scoring Guide for Primary Mathematics Open-Response (2015) 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

Thinking process to determine how much larger the area of Playground A is than the area of Playground B 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 larger the area of Playground A is than the area of Playground B 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 larger the area of Playground A is than the area of Playground B 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 larger the area of Playground A is than the area of Playground B 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

Scoring Guide for Primary Mathematics Open-Response (2015) Section 1, Question 9

Annotation: Response demonstrates minimal evidence of a solution process; no totals shown for either playground (26 is not the correct area for either playground) with incorrect conclusion (26).

Code 10

Scoring Guide for Primary Mathematics Open-Response (2015) Section 1, Question 9

 

Annotation: Response demonstrates some understanding of the relationships between important elements of the problem; correctly determines the area of one playground (20 for Playground B) with incorrect conclusion (difference not calculated).

Code 20

Scoring Guide for Primary Mathematics Open-Response (2015) Section 1, Question 9

Annotation: Response demonstrates a considerable understanding of the relationships between important elements of the problem; correctly determines the area of one playground (20 for Playground B) and correct conclusion based on error (5).

Code 30

Scoring Guide for Primary Mathematics Open-Response (2015) Section 1, Question 9

Annotation: Response demonstrates identification of all important elements of the problem; correctly determines the areas for both playgrounds (24 and 20) with correct difference (4) shown.

Code 40

Scoring Guide for Primary Mathematics Open-Response (2015) 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

Thinking process to add and subtract two-digit numbers and determine the number of items the boys collected 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 add and subtract two-digit numbers and determine the number of items the boys collected 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 add and subtract two-digit numbers and determine the number of items the boys collected 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 add and subtract two-digit numbers and determine the number of items the boys collected 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

 

   

Scoring Guide for Primary Mathematics Open-Response (2015) Section 1, Question 10

   

Annotation: Response demonstrates minimal evidence of a solution process; total number of items given not determined and adds the number of items the boys collected on Monday (19) to the total number of items.

Code 10

Scoring Guide for Primary Mathematics Open-Response (2015) Section 1, Question 10

   

Annotation: Response demonstrates an incomplete solution process; correctly determines the total number of items given (46) but the number of items needed to reach 50 (4) is not determined.

Code 20

Scoring Guide for Primary Mathematics Open-Response (2015) Section 1, Question 10

   

Annotation: Response demonstrates a considerable understanding of the relationships between important elements of the problem; correctly determines the total number of items given (46) but minor calculation error (5) in determining the number of items needed to reach 50.

Code 30

Scoring Guide for Primary Mathematics Open-Response (2015) Section 1, Question 10

   

Annotation: Response demonstrates a complete solution process; correctly determines the total number of items given (46) and the number of items needed to reach 50 (4).

Code 40

Scoring Guide for Primary Mathematics Open-Response (2015) 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

Application of knowledge and skills to determine the number of lines of symmetry on four letters shows limited effectiveness due to

misunderstanding of concepts

incorrect selection or misuse of procedures

20

Application of knowledge and skills to determine the number of lines of symmetry on four letters 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 the number of lines of symmetry on four letters 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 the number of lines of symmetry on four letters 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)

 

 

Scoring Guide for Primary Mathematics Open-Response (2015) Section 1, Question 11

Code 10

Annotation: Response demonstrates misunderstanding of concepts; one letter correct (Z is blank but A, H and T are incorrect) and incomplete explanation.

Scoring Guide for Primary Mathematics Open-Response (2015) Section 1, Question 11

Annotation: Response demonstrates partial understanding of concepts; two letters are correct (H and T are incorrect but correct line on A and Z is blank) with incomplete explanation (no reference to mira or fold, but mentions same on other side).

Code 20

Scoring Guide for Primary Mathematics Open-Response (2015) Section 1, Question 11

Annotation: Response demonstrates minor omissions in the application of the procedures; all four letters correct (one or both lines on H, correct lines on A and T and Z is blank) but no explanation.

Code 30

Scoring Guide for Primary Mathematics Open-Response (2015) Section 1, Question 11

Annotation: Response demonstrates an accurate application of the procedures; all four letters correct (all correct lines on A, H, T and Z blank) and complete explanation (includes both mirra and reflection).

Code 40