DescriptionIn the sixth clip in a series of seven from the third of seven interviews in which 8th grader Stephanie explores Early Algebraic Ideas about Binomial Expansion, Stephanie uses her numerical representation of the expansion of (3+7) cubed and develops a parallel expansion for (a+b) cubed. She uses the distributive property to write out each term and then simplifies and collects like terms, explaining each step of the process to researcher Carolyn Maher.
The problem as presented to Stephanie:
For the equation (a+b) cubed = (a+b) (a cubed + 2ab + b cubed), simplify (a+b) (a cubed + 2ab + b cubed).
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 three of seven, Clip 6 of 7: Expanding (a+b) cubed algebraically Date: 2011 Author: Aboelnaga, Eman Y. (Eman Yousry) (Rutgers, the State University of New Jersey)
Source Title: A64, Early algebra ideas about binomial expansion, Stephanie's interview three of seven (student view), Grade 8, February 7, 1996, raw footage. Identifier: A64-19960207-KNWH-SV-INT-GR8-ALG-BIEX-RAW
Source Title: A65, Early algebra ideas about binomial expansion, Stephanie's interview three of seven (work view), Grade 8, February 7, 1996, raw footage. Identifier: A65-19960207-KNWH-WV-INT-GR8-ALG-BIEX-RAW