@TimBrzezinski@druinok Disagree. Special right triangle rules relate side lengths to angles. Pythagorean Thm. covers sides related to sides; the rules are a shortcut to the trig. We could instead have them memorize sin, cos, tan of 30, 45 and 60, but that’s a step beyond the scope of basic geometry.
@TimBrzezinski But really, the true answer is: that’s what they wrote into the standards. Why don’t we teach consecutive (same-side) exterior angles with parallel lines? It’s valid, but only corresponding angles are *necessary*, the rest are easily derived, so why these ones? Standards.
@TimBrzezinski I have wondered this too. I’ve thought it may be to relate it to SSA (which it is), but with a different name to distinguish it as a special case. Also because we generally haven’t had the full right triangles unit by that point, so the others you mentioned aren’t obvious (yet).
@dodo I have a rescue baby who was found in the woods beside the dead body of his mother, surrounded by the whole litter of puppies. Estimated a couple days old. 7 puppies, 4 dead on site, 1 more didn’t make it. The day I brought my guy home, his brother was going home with another
@joelbezaire @msruggerio@howie_hua No. It’s not. They just ask “did I miss anything?” or “Did you do anything?” As if the whole class just sat here yesterday mourning your absence, hoping you’d be back today so we could resume our study?
@MamaSnyd @joelbezaire @howie_hua Yes, this too. And then they seem so confused when you tell them, “You’ll need to work to catch up.” I have high school geometry. Kid misses TWO weeks, then returns and acts genuinely confused as to why she can’t keep up with the current material. And this is not uncommon anymore
@joelbezaire @howie_hua And then they expect you to catch them up on what they missed while standing in the hall. And then you say “I’m sorry. It was too much to go over right now,” and they look at you like you suddenly have three eyes.
@TimBrzezinski My daughter did this the other day. Smart as sh**, but she was so deep into solving really hard equations that she totally overthought the whole thing.