DescriptionIn the second of six clips from an after-school enrichment session in an urban middle school, Ariel, a 7th grade boy completing a unit about linear functions, continues his work on the Museum problem. When researcher John Francisco asks him to explain his solutions for various numbers of craft pieces, Ariel makes a chart noting the number of the craft pieces and the total costs, and observes that the difference between any two successive numbers is always $3. Francisco asks Ariel if this problem reminds him of any others that he has done. Ariel responds with a reference to the Gym problem, which had been used as a pre-assessment, noting that in each case the problem had asked for a generalized way of finding an amount for any number of items. Researcher Prashant Baldev is observing.
The worksheet wording for the Museum Problem:
The Museum Problem - Version One
A museum gift shop is having a craft sale. The entrance fee is $2. Once inside, there is
a special discount table where each craft piece costs $3.
How could you represent the total amount that you would spend if you were to buy any number of craft pieces at the discount price?
The questions as posed to Ariel:
Suppose you had to explain to somebody how to find the amount that would be needed for any number (say x amount) of craft pieces. How would you do that?
What was your cost if you purchased ten craft pieces? How did you compute that?
What if I bought fifteen items?
What is the rule for these?
Does this problem remind you of any other problems you have done?
RightsThe video is protected by copyright. It is available for reviewing and use within the Video Mosaic Collaborative (VMC) portal. Please contact the Robert B. Davis Institute for Learning (RBDIL) for further information about the use of this video.
Related Publication Type: Related publication Label: Ed.D. dissertation references the video footage that includes Early algebra, investigating linear functions, series 6 of 7, Museum problem, Clip 2 of 6: Beginning to build a general rule Date: 2009 Author: Baldev, Prashant V. (Rutgers, the State University of New Jersey)
Name: Urban, seventh-grade students building early algegra ideas in an informal after school program Reference: QA.B175 2009
Source Title: B19, Early algebra, investigating linear functions, series 6 of 7, Museum problem (student view), Grade 7, December 15, 2005, raw footage. Identifier: B19-20051215-PFLD-SV-IFML-GR7-ALG-VAR-RAW
Source Title: B20, Early algebra, investigating linear functions, series 6 of 7, Museum problem (student view), Grade 7, December 15, 2005, raw footage. Identifier: B20-20051215-PFLD-SV-IFML-GR7-ALG-VAR-RAW