All posts by mathconfidence

Get the Math and the Points! August 2019 CC Alg I Regents #3

August 2019 Regents 3
For this question, we need to use the Distributive Property:
2(x^2 – 1) = 2x^2 – 2
while
3x(x – 4) = 3x^2 – 12x

Michael Paul Goldenberg’s excellent comment was that the constant term must be -2 and that leads us right to the answer!  Thanks

Combine like terms and only the x^2 are combinable.
A way to check your work is to put  2(x^2 – 1) +  3x(x – 4) into Y1 and to put each multiple choice answer into Y2 and then compare to see if the tables for Y1 and Y2 are equivalent.

Math Creates Flow!

Of the many ways to measure a Math lesson,  one is flow.  The 75 minute blocks at my college can feel like a long time to be doing Math.    Therefore, I try to have a variety of modalities within a lesson to capture students’ attention and to provide opportunities to learn and do Math.

The best flow experience I witnessed in my classroom was an activity (on Graphing Functions) starting at 1:58 which was 17 minutes before class ended.  I had thought they would first work independently and then work in pairs.

1:58 handout given students have alone time to think and work while I visit deskside
2:05 students are working independently while I circulate around
2:10 students are still actively learning solo
2:15 class has officially ended — do I tell them?
2:20 they are STILL working — so engrossed
These students may have another class at 2:30 — our room is about to be taken over by the teacher and students waiting patiently outside the door.
2:23 Drat! I have to break the magic and tell them that class is over

At the end, I was delighted that students were totally in a flow state.  They lost all sense of time while they were learning and doing Math.  My only regret?
WHY DIDN’T I THINK TO HAND THIS OUT AT 1:45???