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Early algebra ideas involving one variable, Clip 6 of 11: Trying to complete truth sets for equations two through eight
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Early algebra ideas involving one variable, Clip 6 of 11: Trying to complete truth sets for equations two through eight [video]. Retrieved from https://doi.org/doi:10.7282/T3Q81C09

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TitleEarly algebra ideas involving one variable, Clip 6 of 11: Trying to complete truth sets for equations two through eight
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, , c1999-09-30
Persistent URLhttps://doi.org/doi:10.7282/T3Q81C09
DescriptionIn the sixth of eleven clips from the first day of the Early Algebra Ideas 6th grade class sessions, the researcher, Robert B. Davis, challenges students to try to find more than one value for each of the open sentences printed below. As students respond, Davis keeps track of numbers that work by recording them in the bracketed truth set for the particular equation. Davis poses a question to the group about whether and when mathematical "secrets" should be shared or whether each individual should have the opportunity to discover important ideas about the problems for themselves before the idea is explained to everyone. Jeff, Michelle I., Ankur, Stephanie and Brian are featured during the activity. Researchers Carolyn Maher, Alice Alston, Amy Martino and Tom Purdy, along with Marcia O’Brien, district supervisor, and Michael Poe, teacher, are observing.
Equations Two through Eight as presented to the students:
2. (□ x □) - (16 x □) + 55 = 0
3. (□ x □) - (10 x □) + 21 = 0
4. (□ x □) - (15 x □) + 26 = 0
5. (□ x □) - (6 x □) + 5 = 0
6. (□ x □) - (7 x □) + 12 = 0
7. (□ x □) - (12 x □) + 20 = 0
8. (□ x □) - (12 x □) + 32 = 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
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), Purdy, Thomas LaMonde (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-CLIP006
Related Publication
   Type: Related publication
   Label: Ed.D. dissertation references the video footage that includes Early algebra ideas involving one variable, Clip 6 of 11: Trying to complete truth sets for equations two through eight
   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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