DescriptionIn the fourth clip in a series of nine from the fourth of seven interviews in which 8th grader Stephanie explores Early Algebraic Ideas about Binomial Expansion, researcher Carolyn Maher challenges Stephanie to consider how a packet including a small and large cube and 6 other rectangular prisms might be useful in constructing a model of (a+b) cubed. Stephanie recognizes that four of the pieces can be arranged to replicate her drawing of (a+b) squared and that this "layer" is actually three dimensional of height "a". She then identifies and labels the volume of the four pieces in this layer and questions how one might build up the model to one that also has height of (a+b).
The problem as presented to Stephanie:
How could you build (a+b) cubed from the packet of 8 cubes and rectangular solids?
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 ideas about binomial expansion, Stephanie's interview four of seven, Clip 4 of 9: Building the first layer of (a+b) cubed. Date: 2011 Author: Aboelnaga, Eman Y. (Eman Yousry) (Rutgers, the State University of New Jersey)
Source Title: A66, Early algebra ideas about binomial expansion, Stephanie's interview four of seven (student view), Grade 8, February 21, 1996, raw footage. Identifier: A66-19960221-KNWH-SV-INT-GR8-ALG-BIEX-RAW
Source Title: A67, Early algebra ideas about binomial expansion, Stephanie's interview four of seven (work view), Grade 8, February 21, 1996, raw footage. Identifier: A67-19960221-KNWH-WV-INT-GR8-ALG-BIEX-RAW