@MathigonOrg Any idea what is wrong here when using the Exploding Dots number tool? I set up a base 2 machine with 7 dots, but can only explode from the ones to the 2’s place. I have to select two dots in the 2’s place today to the 4’s place in order for them to explode.
@DavidWa12688560 That’s a possibility that explains what we are seeing. However, in this case, the sliders move in steps of 1 whole unit. So I think there’s just some “margin of error” built into the condition used to determine if a triangle was made as the two yellow points are moved.
Gotta be careful when using stuff others make. Grateful for what they've made, but still be careful... This was a good talking point for class today. #geogebra#iteachmath#MTBoS
@DanShuster Nice 👍 I’m curious where you started. My Ss began with x^2-81 and made an astute observation that nothing would work for the first numerator since the coefficient of x is only one digit.
Working on simplifying rational expressions with my class this morning and we had some fun with this #openmiddle style problem. Where do you think your students would start? #MTBoS#iteachmath
@DonFraser9 Hint: You can take any fraction and move horizontally to get an equivalent fraction. So what if you move “4/5” over to the right to a “convenient” location?
Ss were blown away by the treasure trove of equivalent fractions embedded in the multiplication chart. Then my mind was blown the next day when a S shared this with me when we were comparing fractions. Does her method work? Why? #iteachmath#MTBoS#ElemMathChat
@amy_klose I agree, there are definitely counterexamples to the method “as described”. But that opens up for a conversation about why it works in some cases and not others. I think if we look at the examples shown, some underlying structure is at play.
It's been a while since I last shared something. Made this virtual version of a Kajitsu Puzzle from MathPickle (@gamesbygord). Many of my Ss don't have access to a printer so I did what I could to make this accessible to them. https://t.co/qWrJdnfTQa
#iteachmath#MTBoS#GeoGebra