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Early algebra, investigating linear functions, series 2 of 7, working on Guess My Rule problems 1-3, Clip 3 of 5: Yonny and Brandon working on problem 3 [video]. Retrieved from https://doi.org/doi:10.7282/T3JH3J57

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TitleEarly algebra, investigating linear functions, series 2 of 7, working on Guess My Rule problems 1-3, Clip 3 of 5: Yonny and Brandon working on problem 3
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, 2005-11-02, c2005-11-02
Persistent URLhttps://doi.org/doi:10.7282/T3JH3J57
DescriptionIn the third of five clips in Series Two of Exploring Linear Functions, researcher Arthur Powell asks 7th graders,Yonny and Brandon, to continue their Guess My Rule exploration with problem 3. Noticing that the pattern of differences for the Y value is three, the boys quickly articulate the pattern as their rule and determine values up to ten. When asked to find the value of Y when X is twenty, Brandon predicts that Y will be fifty-one based on his strategy from problem 2 of doubling ten and adding thirty-one for the Y value of ten. Yonny disagrees, predicting that the value would be sixty-one. When asked to explain why, Yonny notes that the differences for Y are increasing by three so the value of ten should be tripled before adding the thirty-one. Researcher Powell asks the boys to complete the table for twenty in order to decide. They do this and find that Yonny's prediction was correct. Researcher Powell concludes the day's session. Teacher Alan Hiba is observing.
Guess My Rule Problem 3.
X Y
0 1
1 4
2 7
3 10
Math ToolComputer, Color markers
Math StrandAlgebra
Math ProblemGuess my rule
NCTM Grade Range6-8
NCTM Content StandardAlgebra
NCTM Process StandardProblem solving, Reasoning and proof, Communication, Connections, Representation
Forms of Reasoning, Strategies and HeuristicsGuessing and checking, Direct reasoning, Recursive reasoning, Recognizing a pattern, Proportional reasoning
Grade Level7
Student ParticipantsBrandon G. (student), Yonny (student)
MediatorsPowell, Arthur B. (Researcher), Hiba, Alan (Researcher)
CorporateFrank J. Hubbard Middle School (Plainfield, N.J.)
SettingInformal learning
Student GenderMale
Student EthnicityMixed
Camera ViewsStudent view
Date Captured2005-11-02
Local IdentifierB26-ALG-VAR-CLIP003
Related Publication
   Type: Related publication
   Label: Ed.D. dissertation references the video footage that includes Early algebra, investigating linear functions, series 2 of 7, working on Guess My Rule problems 1-3, Clip 3 of 5: Yonny and Brandon working on problem 3
   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: B26, Early algebra, investigating linear functions, Guess My Rule introduction (student view), Grade 7, November 2, 2005, raw footage.
   Identifier: B26-20051102-PFLD-SV-IFML-GR7-ALG-VAR-RAW