Math Released Item 2018 Grade 5 Fractions of Paint Cans Using Number Line M500200
Anchor Set A1 A6 With Annotations
Prompt
M500200 Rubric Part A Score Description 1 This part of the item is machine-scored. Reasoning component = 1 point Sample Student Response: Option B student makes 12 15 quarts of purple paint 0 Student response is incorrect or irrelevant. Score Description M500200 Rubric Part B 2 Student response includes the following 2 elements. Reasoning component = 1 point o Valid explanation of how a number line could be used to find the answer Computation component = 1 point o Correct fraction of yellow paint remaining, 1 6 or equivalent Sample Student Response: 4 3 1 quart remaining yellow paint 6 6 6 Make a number line from 0 to 1. Divide the number line into 6 equal parts. Then start on the 4 th part and move to the left 3 parts to get the answer of 1 6. Or other valid response. 1 Student response includes 1 of the 2 elements. 0 Student response is incorrect or irrelevant.
A1 Score Point 2
Annotation Anchor Paper 1 Score Point 2 This response receives full credit. It includes each of the two required elements. The correct fraction of yellow paint remaining is found ( 1 6 ). Correct explanation of how a number line could be used to find the answer is provided (you can use a number line to find your answer by finding your commen denominator between the numbers, in this case its 6, and split the line into that many sections. you can mark a large thick line at the end of 4 sections and then shade in 3 sections. how many sections are left unshaded, not counting those that are outside 4 section mark? there is one section left unshaded. Leaving your answer to be 1 6 ). Note: The mathematical work shown ( 2 3 1 2 = 1 6 or 4 6 3 6 equals 1 6 ), is irrelevant when it comes to scoring this item. Credit is awarded for the correct answer and/or for how the answer was found using a number line. Therefore finding the answer through subtraction only will not receive credit.
A2 Score Point 2
Annotation Anchor Paper 2 Score Point 2 This response receives full credit. It includes each of the two required elements. The correct fraction of yellow paint remaining is found ( 1 6 ). Correct explanation of how a number line could be used to find the answer is provided (First you would set a number line from 0 1. Then you would cut the number line into sixths because 3 and 2 have a close denominator to six. After you set it up and cut it into sixths, start at 4 6 and subtract it by 3 6 and you will end up with 1 6 ).
A3 Score Point 1
Annotation Anchor Paper 3 Score Point 1 This response receives partial credit. It includes one of the two required elements. Correct explanation of how a number line could be used to find the answer is provided (An example of how a number line can be used to find the answer: say the entire number line represents one quart of yellow paint. Find a common denominator to use, like six. Put 4 on the 6 number line. Then, from that point, take away 3. Finally, put a mark on 6 where you landed and simplify if possible). While an incorrect fraction of yellow paint remaining is found ( 1 ), the process of how to use a 3 number line is correct. If the explanation was followed correctly, the answer 1 would be found. 6 An incorrect fraction of yellow paint remaining is found ( 1 3 ).
A4 Score Point 1
Annotation Anchor Paper 4 Score Point 1 This response receives partial credit. It includes one of the two required elements. The correct fraction of yellow paint remaining is found ( 1 6 ). An incorrect explanation of how a number line could be used to find the answer is provided (if the kids youse 1 2 of the paint and there is 2 3 remaining you would get 1 yellow paint left). The explanation does not express how a 6 number line could be used to find the answer of 1. 6
A5 Score Point 0
Annotation Anchor Paper 5 Score Point 0 This response receives no credit. It includes none of the two required elements. An incorrect fraction of yellow paint remaining is found ( 1 3 ). An incorrect explanation of how a number line could be used to find the answer is provided (you can look on the number line and see how much you have left).
A6 Score Point 0
Annotation Anchor Paper 6 Score Point 0 This response receives no credit. It includes none of the two required elements. An incorrect fraction of yellow paint remaining is found (1 1 ). The fractions 6 were added instead of subtracted and therefore 1 1 (or 7, those fractions are 6 6 equivalent) is found instead of 1 6. An explanation of how a number line could be used to find the answer is not provided.
Practice Set P1 - P5 No Annotations Included
P1
P2
P3
P4
P5
Practice Set Paper Score P1 1 P2 2 P3 0 P4 2 P5 1