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## Measuring Up: Prototypes for Mathematics Assessment (1993) Mathematical Sciences Education Board (MSEB)

### Citation Manager

. "Mystery Graphs." Measuring Up: Prototypes for Mathematics Assessment. Washington, DC: The National Academies Press, 1993.

 Page 23

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Measuring Up: Prototypes for Mathematics Assessment

### Mystery Graphs

 Explore sets rather than individual pieces of data Broaden the view of mathematics appropriate for the 4th grade Apply mathematics to real-life experience

Suggested time allotment

Less than one class period

Student social organization

Students working alone

Assumed background: This task assumes that the children have had extensive experience in dealing with sets of data, and, in particular, are familiar with interpreting data that are represented in line plots.

Presenting the task: The teacher should distribute the student materials and read enough of it to be sure that the children understand the task. It is also important to stress that the "classroom of fourth graders" is some other classroom — not theirs. In the pilot, it was necessary to clarify that "cavities" in question 1a refers to both filled and unfilled cavities.

Student assessment activity: See the following pages.

 Page 23
 Front Matter (R1-R10) Introduction (1-3) The Challenge (4-4) The Criteria (5-6) The Caveats (7-7) The Audience (8-8) The Prototypes (9-11) The Tryouts (12-12) The Format (13-13) The Protorubrics (14-15) The Standards (16-18) The Future (19-20) The Prototypes (21-22) Mystery Graphs (23-30) The Checkers Tournament (31-42) Bridges (43-52) Hexarights (53-64) Bowl-A-Fact (65-74) Point of View (75-84) The Quilt Designer (85-94) How Many Buttons? (95-100) The Taxman (101-114) Lightning Strikes Again (115-124) Comparing Grizzly Bears and Black Bears (125-132) The Towers Problem (133-140) The Hog Game (141-156) Resources (157-160) Mathematical Sciences Education Board (161-164) Credits (165-166)

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OCR for page 23
Measuring Up: Prototypes for Mathematics Assessment Mystery Graphs Explore sets rather than individual pieces of data Broaden the view of mathematics appropriate for the 4th grade Apply mathematics to real-life experience Suggested time allotment Less than one class period Student social organization Students working alone Task Assumed background: This task assumes that the children have had extensive experience in dealing with sets of data, and, in particular, are familiar with interpreting data that are represented in line plots. Presenting the task: The teacher should distribute the student materials and read enough of it to be sure that the children understand the task. It is also important to stress that the "classroom of fourth graders" is some other classroom — not theirs. In the pilot, it was necessary to clarify that "cavities" in question 1a refers to both filled and unfilled cavities. Student assessment activity: See the following pages.

OCR for page 24
Measuring Up: Prototypes for Mathematics Assessment Name _________________________________________ Date ______________ Look at the five graphs on the next pages. Each graph shows something about a classroom of fourth graders. Which of the five graphs do you think shows: The number of cavities that the fourth graders have? The ages of the fourth graders' mothers? The heights of the fourth graders, in inches? The number of people in the fourth graders' families? Explain why you think the graph you picked for c is the one that shows the heights of fourth graders. Why do you think the other graphs don't show the fourth graders' heights?

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Measuring Up: Prototypes for Mathematics Assessment

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Measuring Up: Prototypes for Mathematics Assessment

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