Category Archives: #mtbos

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???

Get the Math and the Points Aug 18 CC Algebra I Regents #30

aug 18 30

The left hand side of the equation is almost a perfect square:
In order for it to be a perfect square:  x^2 + 4x + ____ = 2 + ____
To find the number that completes the square take 1/2 of 4 and square it
So 4 gets added to both sides
Then the right side becomes 6
Then we can write the left side like this: (x + 2) ^2
So (x + 2)^2 = 6
then take the sqrt of both sides but do not forget the +/- with the sqrt
Then subtract 2 from both sides:
You will have two answers a plus and a minus and you can check your work by using the quadratic formula :)