Tuesday, November 15, 2022

Line Art Project, Continued (Day 67)

LINEAR ART

First Verse:
Slope of line negative, graph it!
Don't be so negative, graph it!
Slope of line positive, graph it!
Let's all be positive, graph it!

Chorus:
Linear art,
Let's all take part.
Linear art,
We're all so smart.

Second Verse:
Here's a line vertical, graph it!
That one's horizontal, graph it!
Slope of line fractional, graph it!
Get into action all, graph it!
(to Chorus)

This is the fourth song that I'm writing in 12EDL, our main scale for November and December. And the song is all about the line art project that I alluded to in my post last week -- which is itself an extension of a Desmos activity that I mentioned on the blog two weeks ago.

This time, the students are supposed to come up with their own designs. Each group of four students must draw a design with 16 lines of varying slopes (the ones mentioned in the song above). For each line, they must calculate the segment's equation, endpoints, and intercepts.


10 N=8
20 FOR V=1 TO 2
30 FOR X=1 TO 48
40 READ A,T
50 SOUND 261-N*A,T
60 NEXT X
70 RESTORE
80 NEXT V
90 END
100 DATA 7,2,8,2,6,4,10,4,8,2,7,2,7,8,9,8
110 DATA 7,2,8,2,6,4,10,4,8,2,7,2,7,8,9,8
120 DATA 7,2,8,2,6,4,10,4,8,2,7,2,7,8,9,8
130 DATA 7,2,8,2,6,4,10,4,8,2,7,2,7,8,9,8
140 DATA 7,8,7,4,9,4,7,16
150 DATA 7,8,7,4,9,4,7,16
160 DATA 7,8,7,4,9,4,7,16
170 DATA 7,8,7,4,9,4,7,16

Even though this is supposed to be a 12EDL song, my TI music generator avoided both Degrees 12 and 11, so it sounds more like a glorified 10EDL song. Since Degree 11 is omitted, I avoid having to decide whether to play Degree 11 as B or Bb on my guitar.

Instead, Degrees 7 and 9 are emphasized throughout the song. In particular, the chorus is F#-F#-D-F#, which suggests playing the D major chord throughout the chorus.

Indeed, the only thing that makes this a 12EDL song and not 10EDL is the use of the A minor guitar chord as the tonic. In the verse, the rift is Am-D, and then we stick to D in the chorus.

Meanwhile, today the world reached a milestone -- eight billion people. Perhaps it's only fitting that in Math III, the class is reviewing exponential functions (which is in preparation for some upcoming lessons on logarithms).

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