#beingmathematical

So I missed the #beingmathematical chat this week but was inspired by some of the outcomes.

The original task was this:

Or you can look at the whole task in full here. #beingmathematical

We found it really useful to work through each image slowly, and think about what was coming up for us, and how we might bring together imaginings... pic.twitter.com/wk4fiHIyyU

— Teachers of Maths (@ATMMathematics) 24 May 2018

I spotted @dannytybrowns responses including this one (and the thread that follows) and thought I'd have a little play on geogebra too.

Here's an animation inspired by tonight's #beingmathematical @ATMMathematics https://t.co/k6sMx9SLsz

cc. @andreapitt24 @helenjwc @PardoeMary @Simon_Gregg @PardoeMary

— dannytybrown (@danieltybrown) 24 May 2018

I made a simple interactive to start. I included the introduction part as I felt it helps to understand what is happening:



I really enjoyed having a play. I noticed patterns for whole numbers, both positive and negative. I also enjoyed playing with fractional a values, and negative fractional a values. I liked the patterns that came from this sequence: -1/6, -2/5, -3/4, -4/3, -5/2, and -6.

I then added a new variable to play with.


I particularly liked this pattern:

I also made this one here where equally spaced points along the line are shown.