Assessment of Reading, Writing and Mathematics: Primary Division Released 2016 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 • © 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 EQAO, 2 Carlton Street, Suite 1200, Toronto, ON M5B 2M9 • 1-888-327-7377 • Web site: www.eqao.com • © 2016 Queen’s Printer for Ontario Scoring Guide for Primary Mathematics Open-Response (2016) Section 1, Question 8 Code B I Descriptor Blank: nothing written or drawn in response to the question 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 fraction of the groups that go to the library shows limited effectiveness due to 20 Application of knowledge and skills to determine the fraction of the groups that go to the library shows some effectiveness due to 30 partial understanding of the concepts errors and/or omissions in the application of the procedures Application of knowledge and skills to determine the fraction of the groups that go to the library shows considerable effectiveness due to 40 misunderstanding of concepts incorrect selection or misuse of procedures an understanding of most of the concepts minor errors and/or omissions in the application of the procedures Application of knowledge and skills to determine the fraction of the groups that go to the library 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 (2016) Section 1, Question 8 Code 10 Annotation: Response demonstrates misunderstanding of concepts; incorrect drawing (6 groups of 4) with no fraction or justification. Scoring Guide for Primary Mathematics Open-Response (2016) Section 1, Question 8 Code 20 Annotation: Response demonstrates errors and omissions in the application of the procedures; incorrect drawing (6 groups of 4), but fraction (1/6) correct based on error. No justification shown. Note: based on the curriculum, students in Grade 3 are only required to use fractional names (e.g., one sixth), not standard fractional notation (1/6). Both are scored the same way. This anchor was selected as many students did use standard fractional notation. Scoring Guide for Primary Mathematics Open-Response (2016) Section 1, Question 8 Code 30 Annotation: Response demonstrates minor omissions in the application of the procedures; appropriate drawing (4 groups of 6) and correct fraction (1/4), but no justification. Note: based on the curriculum, students in Grade 3 are only required to use fractional names (e.g., one quarter or one fourth), not standard fractional notation (1/4). Both are scored the same way. This anchor was selected as many students did use standard fractional notation. Scoring Guide for Primary Mathematics Open-Response (2016) Section 1, Question 8 Code 40 Annotation: Response demonstrates a thorough understanding of the concepts; appropriate drawing (4 groups of 6) and correct fraction (1/4) with justification (drawing shows 1 group out of 4 leaving). Note: based on the curriculum, students in Grade 3 are only required to use fractional names (e.g., one quarter or one fourth), not standard fractional notation (1/4). Both are scored the same way. This anchor was selected as many students did use standard fractional notation. Scoring Guide for Primary Mathematics Open-Response (2016) Section 1, Question 9 Code Descriptor Blank: nothing written or drawn in response to the question B I 10 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 Thinking process to draw and describe paths on a grid 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 Thinking process to draw and describe paths on a grid shows some effectiveness due to 20 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 Thinking process to draw and describe paths on a grid shows considerable effectiveness due to 30 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 Thinking process to draw and describe paths on a grid shows a high degree of effectiveness due to 40 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 (2016) Section 1, Question 9 Code 10 Annotation: Response demonstrates limited identification of important elements of the problem; shortest paths not drawn on grid lines and incorrect descriptions for both paths. Scoring Guide for Primary Mathematics Open-Response (2016) Section 1, Question 9 Code 20 Annotation: Response demonstrates identification of some important elements of the problem; shortest paths drawn for both (school to park and school to store) but descriptions incomplete for both paths (states total number of units only with no directions). Scoring Guide for Primary Mathematics Open-Response (2016) Section 1, Question 9 Code 30 Annotation: Response demonstrates considerable understanding of the relationships between important elements of the problem; shortest paths drawn for both (school to park and school to store) with correct description for one (school to park only). Scoring Guide for Primary Mathematics Open-Response (2016) Section 1, Question 9 Code 40 Annotation: Response demonstrates identification of all important elements of the problem; shortest paths drawn for both (school to park and school to store) with correct descriptions. Scoring Guide for Primary Mathematics Open-Response (2016) Section 1, Question 10 Code Descriptor B I 10 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 Application of knowledge and skills to extend Kyle and Marla’s patterns and determine a number in both patterns shows limited effectiveness due to 20 partial understanding of the concepts errors and/or omissions in the application of the procedures Application of knowledge and skills to extend Kyle and Marla’s patterns and determine a number in both patterns shows considerable effectiveness due to 40 misunderstanding of concepts incorrect selection or misuse of procedures Application of knowledge and skills to extend Kyle and Marla’s patterns and determine a number in both patterns shows some effectiveness due to 30 Blank: nothing written or drawn in response to the question an understanding of most of the concepts minor errors and/or omissions in the application of the procedures Application of knowledge and skills to extend Kyle and Marla’s patterns and determine a number in both patterns 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 (2016) Section 1, Question 10 Code 10 Annotation: Response demonstrates minimal evidence of a solution process; correctly identifies second term of only one pattern (Kyle’s) with incorrect conclusion. Scoring Guide for Primary Mathematics Open-Response (2016) Section 1, Question 10 Code 20 Annotation: Response demonstrates omissions in the application of the procedures; correctly identifies only second term of both patterns (7 and 10) with incorrect conclusion. Scoring Guide for Primary Mathematics Open-Response (2016) Section 1, Question 10 Code 30 Annotation: Response demonstrates minor errors in the application of the procedures; minor error extending both patterns (second term incorrect for both) but evidence of increasing by 6s and 7s with correct conclusion based on errors. Scoring Guide for Primary Mathematics Open-Response (2016) Section 1, Question 10 Code 40 Annotation: Response demonstrates an accurate application of the procedures; correctly extends both patterns with correct conclusion. Scoring Guide for Primary Mathematics Open-Response (2016) Section 1, Question 11 Code Descriptor B I 10 Blank: nothing written or drawn in response to the question 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 Thinking process to complete a pictograph and determine the number of students who chose cheese 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 Thinking process to complete a pictograph and determine the number of students who chose cheese shows some effectiveness due to 20 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 Thinking process to complete a pictograph and determine the number of students who chose cheese shows considerable effectiveness due to 30 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 Thinking process to complete a pictograph and determine the number of students who chose cheese shows a high degree of effectiveness due to 40 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 (2016) Section 1, Question 11 Code 10 Annotation: Response demonstrates minimal evidence of a solution process; no evidence of the number of students for all three given snacks or number of students who choose cheese and pictograph not completed accurately (4 smiley faces does not represent 4 students). Scoring Guide for Primary Mathematics Open-Response (2016) Section 1, Question 11 Code 20 Annotation: Response demonstrates an incomplete solution process; evidence of the number of students for all three given snacks (8, 5 and 4), but incorrectly determines number of students who choose cheese and pictograph not completed. Scoring Guide for Primary Mathematics Open-Response (2016) Section 1, Question 11 Code 30 Annotation: Response demonstrates identification of most of the important elements of the problem; no evidence of the number of students for all three given snacks (8, 5 and 4), but correctly determines number of students who choose cheese (7) and pictograph accurately completed. Scoring Guide for Primary Mathematics Open-Response (2016) Section 1, Question 11 Code 40 Annotation: Response demonstrates identification of all important elements of the problem; total number of students for all three given snacks identified (17), correctly determines number of students who choose cheese (7) and pictograph accurately completed. notation:
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