Partitioning a Segment

Do you always divide a line segment at the midpoint? Given the coordinates of the two endpoints of a line segment, pupils find the point that partitions the line segment in a particular ratio. They then show and explain their work used to arrive at the solution.

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CCSS: Designed
Instructional Ideas

  • Challenge advanced learners to work the problem without using a coordinate plane
Classroom Considerations

  • Individuals should understand ratio notation
  • The class should know how to plot points on the coordinate plane
Pros

  • Contains descriptions of misconceptions and provides examples
  • Includes an optional method to solving the problem
Cons

  • None
Common Core