Timeline for How to explain how to get an end point of a segment from the other end point and it's midpoint?
Current License: CC BY-SA 3.0
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| Sep 18, 2017 at 20:38 | comment | added | John Wayland Bales | @ChrisCunningham Usually, the midpoint formula is justified by an argument using similar triangles. Assuming the students had been convinced by that argument but not convinced by the algebraic argument for finding the endpoint based on the derived mid-point formula, going back to an argument based on similar triangles might persuade them. Some students are better convinced by geometrical arguments. | |
| Sep 18, 2017 at 20:33 | comment | added | Chris Cunningham | My first reaction was that this was hilariously overcomplicated, but it uses some very generalizable skills that students in early math and science need to practice anyway (creating right triangles on their own, labeling points on a diagram with their coordinates as a habit), so I do not think it is so unreasonable after all. | |
| Sep 18, 2017 at 19:48 | history | answered | John Wayland Bales | CC BY-SA 3.0 |