In this lesson, students partition segments in given ratios. They begin by calculating midpoints, then attempt more difficult ratios in the subsequent activities. They’re introduced to a weighted average and asked to connect weighted averages to segment partitioning. Finally, they link segment partitioning to concepts of similarity transformations from earlier units. In each case, students are presented with a problem with little direction and expected to make sense of the problem and find a strategy on their own (MP1).
- Calculate the coordinates of a point on a line segment that partitions the segment in a given ratio.
- Let’s split segments using averages and ratios.
- I can calculate the coordinates of a point on a line segment that partitions the segment in a given ratio.
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