@JustinAion For example 9^1/2 means break into two multiplicative pieces (3*3) and take one. Likewise, 8^5/3 means break into three equal pieces (2*2*2) and take 5 of them: 2^5
@JustinAion Here it’s easier to reason why zero nines is one, negative exponents mean ‘inverse’ and fractions still mean to break into pieces… just in a multiplicative kind of way.
@Mathgarden … but as a math educator now, I find joy in showing my students mathematics from all angles. I think there are still plenty of students who find this type of exercise interesting. No judgement on those who don’t… there is so much beauty to share with them too.
@mathyawp Of the three, the stairs feel the most human to me. They are playful, surprising, imperfect, and full of potential. That’s closest to the emotions I felt when reading your beautiful book.
@howie_hua I used your recent one about subtracting integers as distance just today with a ninth grader and she was smiling ear to ear by the time she left. It ‘finally’ made sense to her!
@MrsSheehanMath The student is correct. My guess is that the author of the answer key made a hasty misapplication of the Hinge Theorem, but you’d need QP = QR to apply that theorem.
@ShowTheWork I’m using lots of ideas from #thinkingclassroom in my classes this year too. Thanks for the share. I love the discussion around ‘linear or not’… exactly the kind of thing that gets missed otherwise!