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Early algebra ideas involving one variable, Clip 11 of 11: Are there impossible equations?
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Early algebra ideas involving one variable, Clip 11 of 11: Are there impossible equations? [video]. Retrieved from https://doi.org/doi:10.7282/T3C24VBJ

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TitleEarly algebra ideas involving one variable, Clip 11 of 11: Are there impossible equations?
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, , c1999-09-30
Persistent URLhttps://doi.org/doi:10.7282/T3C24VBJ
DescriptionIn this final clip of the series of eleven from the first day of the Early Algebra Ideas 6th grade class sessions that focus on solving equations with one variable, the students and the researcher are revisiting the important ideas, or "secrets", that have helped them to find numbers that will make the equations true. When researcher Robert B. Davis challenges the group to solve the first equation printed below, the students use their "secret ideas", now shared by the class, to immediately find values that work. Milin then poses the second equation below as one that is impossible and the group discuss whether there may be values that are not integers that might work. Jeff then proposes the third equation below as another example of an "impossible equation". Michele I., Jeff, Michael, Stephanie, Brian, Matt and Milin are featured during the activity. Researchers Carolyn Maher, Alice Alston and Amy Martino, along with Marcia O’Brien, district supervisor, and Michael Poe, teacher, are observing.

Equation presented by Dr. Davis:
(□ x □) - (20 x □) + 96 = 0
Milin's equation:
(□ x □) - (19 x □) + 17= 0
Jeff's equation:
(□ x □) - (17 x □) + 19= 0
Math ToolColor markers, Worksheet with problem statements
Math StrandAlgebra
Math ProblemOpen sentence in one variable
NCTM Grade Range6-8
NCTM Content StandardAlgebra
NCTM Process StandardProblem solving, Reasoning and proof, Communication, Connections, Representation
Forms of Reasoning, Strategies and HeuristicsDirect reasoning, Substituting numbers for variables, Guessing and checking, Generalizing, Reasoning by contradiction
Grade Level6
Student ParticipantsBrian (Kenilworth, student), Michael A. (Kenilworth, student), Jeff (student), Robert (student), Matt (student), Romina (student), Stephanie (student), Amy-Lynn (student), Michelle I. (student), Michelle R. (student), Ankur (student), Milin (student)
MediatorsDavis, Robert B. (Robert Benjamin) (Researcher), Maher, Carolyn Alexander (Researcher), Alston, Alice S. (Researcher), Martino, Amy Marie (Researcher), O'Brien, Marcia Joan (Teacher), Poe, Michael (Teacher)
CorporateHarding Elementary School (Kenilworth, N.J.)
SettingClassroom
Student GenderMixed
Student EthnicityMixed
Camera ViewsTeacher view, Side view
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.
Date Captured1999-09-30
Local IdentifierA54A55-ALG-PIB-CLIP011
Related Publication
   Type: Related publication
   Label: Ed.D. dissertation references the video footage that includes Early algebra ideas involving one variable, Clip 11 of 11: Are there impossible equations?
   Date: 2009
   Author: Spang, Kathleen E. (Rutgers Graduate School of Education)

   Name: Teaching algebra ideas to elementary school children : Robert B. Davis' introduction to early algebra
   Reference: QA.S735 2009
Source
   Title: A54, Early algebra ideas involving one variable (teacher view), Grade 6, September 30, 1993, raw footage.
   Identifier: A54-19930930-KNWH-TV-CLASS-GR6-ALG-PIB-RAW
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