Fraction problems, Sharing and Number Lines, Clip 5 of 5: Placing fractions on the number line [video]. Retrieved from https://doi.org/doi:10.7282/T3S46RS9
DescriptionIn the last of five clips from a single class session, the researcher reviews with the students how to place whole numbers on a number line. The students are then asked to decide about the placement of numbers between 0 and 1 on the line. After Alan shares the number line he has drawn with increasingly small fractions (1/10. 1/100 and 1/1000), the researcher asks the students where to place 1/3 on his line. Alan conjectures that the point for 1/3 could go in three places, one to the left of 1/2, the second to the right of 1/2 and a third at the point indicating 1. Alan argued that the the length of the line segment from 0 to 1 can be built from 3 equal segments, each 1/3 of the length of the unit, which he called 1. He modelled his conjecture with Cuisenaire rods. After Mark, Danielle and Andrew correctly mark positions for 2/3, 3/3 and 0/3, the researcher facilitates a discussion among the students to resolve the issue raised as to whether the number 1/3 and the number 2/3 can denote the same point on the number line.
Problem Statement: Where is the correct position for 1/3 on a number line? Can the number 1/3 be placed at more than one position on the line? Why or why not?
Related Publication Type: Dissertation Label: Ed.D. dissertation references the video footage that includes Fraction problems, Sharing and Number Lines, Clip 5 of 5: Placing fractions on the number line Date: 2010-05-01 Detail: Dissertation available in digital r format in the Rutgers University Libraries dissertation collection. Author: Schmeelk, Suzanna E., 1979- (Rutgers Graduate School of Education)
Source Title: A29, Fraction problems: Sharing and Number Lines (Class View), grade 4, November 1, 1993, raw footage Identifier: A29-19931101-CNCR-FV-CLASS-GR4-FRC-CMPRF-RAW
Source Title: A31, Fraction problems, Sharing and Number Lines (Overhead/Class View), grade 4, November 1, 1993, raw footage Identifier: A31-19931101-CNCR-PV-CLASS-GR4-FRC-CMPRF-RAW