Name / Grade
  1. Draw a picture of .
  1. Mr. K gave the students in his class cookies to share and eat. He gave the two students at table A one cookie to share equally. He gave the eight students at table B four cookies to share equally. All the cookies were the same size. Which student got more of a cookie, a student at table A or a student at table B? Explain your answer.
  1. Put an X to show the location of on the number line below.
  1. Jasmine walked mile from her house to the store. Then she walked mile from the store to school.
  1. Estimate: Did Jasmine walk more than 1 mile or less than 1 mile? Explain your answer.
  1. How far did Jasmine walk in all? Find the exact distance. Show how you got your answer.

Recording Student Responses

The assessment items were developed from work described by various researchers.Students may use fraction circles or other manipulative for these problems. Please give this assessment to at least one class that you are teaching. The assessment will take students approximately 15-20 minutes to complete. The students are not allowed to use a calculator on this assessment. Please do not help the students as they take the assessment. Use the scoring grids below to record the results of your students.

  1. Draw a picture of .

Response: Q1 / Number of Responses
Correct response
  • If a shape is drawn, there should be 8 pieces of roughly equal size, with 3 shaded.
  • If a number line is drawn, eighths should be clearly marked and indicated exactly.

Incorrect or incomplete response
Response: Q2 / Number of Responses
Correct response
The students all get the same amount of cookie
because each student will get of a cookie.
Incorrect or incomplete response
  1. Mr. K gave the students in his class cookies to share and eat. He gave the two students at table A one cookie to share equally. He gave the eight students at table B four cookies to share equally. All the cookies were the same size. Which student got more of a cookie, a student at table A or a student at table B? Explain your answer.

  1. Put an X to show the location of on the number line below.

Response: Q3 / Number of Responses
Correct response
Incorrect response or incomplete response
  1. Jasmine walked mile from her house to the store. Then she walked mile from the store to school. How far did Jasmine walk in all?
  1. Estimate: Did Jasmine walk more than 1 mile or less than 1 mile? Explain your answer.

Response: Q4a / Number of Responses
Correct response
Less than 1 mile.
is a little less than and ,
so must be less than one.
Incorrect or incomplete response
Response: Q4b / Number of Responses
Correct response

Incorrect response

Misconception: Adding across the numerators and the denominators
Other incorrect or incomplete response
  1. How far did Jasmine walk in all? Find the exact distance. Show how you got your answer.