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 • © 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 • © 2013 Queen’s Printer for Ontario Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 8 Code B I 10 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 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 Thinking process to determine how many grams of potatoes the store has left 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 determine how many grams of potatoes the store has left 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 determine how many grams of potatoes the store has left 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 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. Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 8 Code 20 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. . Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 8 Code 30 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. Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 8 Code 40 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. Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 9 Code B I 10 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 Application of knowledge and skills to rotate a hexagon 90⁰ counter-clockwise shows limited effectiveness due to 20 Application of knowledge and skills to rotate a hexagon 90⁰ counter-clockwise shows some effectiveness due to 30 misunderstanding of concepts incorrect selection or misuse of procedures partial understanding of the concepts errors and/or omissions in the application of the procedures 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 Application of knowledge and skills to rotate a hexagon 90⁰ counter-clockwise shows a high degree of effectiveness due to 40 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 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). Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 9 Code 20 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). Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 9 Code 30 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). Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 9 Code 40 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. Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 10 Code B I 10 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 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 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 30 misunderstanding of concepts incorrect selection or misuse of procedures partial understanding of the concepts errors and/or omissions in the application of the procedures 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 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 40 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 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. Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 10 Code 20 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. Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 10 Code 30 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. Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 10 Code 40 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. Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 11 Code B I 10 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 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 Thinking process to determine how much money the class will gain per apple 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 determine how much money the class will gain per apple 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 determine how much money the class will gain per apple 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 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. Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 11 Code 20 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. Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 11 Code 30 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. Scoring Guide for Junior Mathematics Open-Response (2013) Section 1, Question 11 Code 40 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).
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