Early algebra, investigating linear functions, series 6 of 7, Museum problem, Clip 4 of 6: Comparing the Ladder problem with the Museum problem [video]. Retrieved from https://doi.org/doi:10.7282/T3NG4NKT
DescriptionIn the fourth of six clips from an after-school enrichment session in an urban middle school, James, a 7th grade boy completing a unit about linear functions, continues his work on the Museum problem. Researcher Markus Hahkioniemi asks James to compare the Museum problem, for which he has just given a general rule, to the Ladder problem. James notes that the mathematical structure of the rules is the same and points out the differences in the contexts. When the researcher then asks James to explain the connection between the rods and the problems, James explains how the rods are related to the Ladder problem.
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 worksheet wording for the Ladder Problem:
A company makes ladders of different heights, from very short ones to very tall ones. The shortest ladder has only one rung, and looks like this (we could build a model of it with 5 light green Cuisenaire rods.) A two-rung ladder could be modeled using 8 light green rods, and looks like this. Build a rod model to represent a 3-rung ladder.
How many rods did you use? How could you represent the number of rods needed if you were to build a ladder with any number of rungs?
The questions as posed to James:
Compare the Museum Problem that you have just done with the Ladder Problem. How are they alike? How are they different?
How can the Cuisenaire rods be used to model either or both of the problems?
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 4 of 6: Comparing the Ladder problem with the Museum problem 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