Today was a second garden hose next to yesterday's. A lot of students were successful, it wasn't a trick estimation.
Today was sports dress up day. I wore a Stephen Curry jersey and this student wore a Barry Bonds ASU jersey. I had to take a picture.
|Barry Bonds throwback|
|Katie's graph was scaled and labeled properly.|
Then they are given the coordinates (6, 256) and (2,16). Some students tried subtracting 16 from 256 and couldn't get the answer. I asked students how the b variables cancelled before. They said because they were subtracted. I said will these eliminate if they're subtracted? A lot of students had an a ha moment and saw that they had to be divided.
This eliminates a because a divided by a is 1. Then they subtract the exponents because it's dividing. Then they take the 4th root of both sides to solve for b and plug it back in to solve for a. Students need practice verbalizing the language of saying taking the 4th root of both sides.
|Writing a linear equation from 2 points on the left. Writing an exponential equation on the right.|