[speedgibson] Speed Gibson: I Had No Idea - Part 3
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Fri Dec 7 14:55:24 EST 2007
Posted by Speed Gibson:
I Had No Idea - Part 3
http://speedgibson.powerblogs.com/posts/1196986085.shtml
This is episode 3 of how State aid to K-12 public schools is
calculated. In [1]Part 1, I calculated "Pupil Units" and in [2]Part 2,
I calculated Basic Revenue, Extended Time Revenue, Gifted & Talented
Revenue, and Basic Skills Revenue. As you saw, it takes more than
basic skills to get this far.
Now let's calculate the sparsity amounts that help smaller and rural
districts, starting with Elementary Sparsity Revenue. To qualify, "an
elementary school must have an average of 20 or fewer pupils per grade
level [including Kindergarten] and be located 19 miles or more from
the nearest [other] elementary school."
1. First, count the grades, up to 7 for a full K-6 school, and
multiply by 20.
2. Now, sum the enrollment (ADM) for these grades, which should be
less than or equal to result 1 above.
3. Subtract result 2 from result 1.
4. Add result 2 and result 1.
5. Divide result 3 by result 4, giving a ratio between 0 and 1.
6. Multiply by result 2, the number of students (ADM).
7. Multiply by the General Education Formula Allowance used to
calculate Basic Revenue ($5,074).
Get out your calculator for the Secondary Sparsity Revenue, for first
we need to calculate an Isolation Index (II).
1. Determine the school's area served in square miles.
2. Multiply by 0.55, then take the square root.
3. Add the number of miles to the nearest other secondary school.
This is the Isolation Index. If not over 23, stop here; you get
$0.
4. If the enrollment is not under 400, stop here; you get $0.
5. Subtract 23 from the Isolation Index above (result 3).
6. Divide by 10, and do not allow the quotient to exceed 1.5.
7. Subtract the enrollment (ADM) from 400.
8. Add 400 to the enrollment (ADM).
9. Divide Result 7 by Result 8, giving a ratio between 0 and 1.
10. Multiply by the Result 6 quotient.
11. Multiply by the enrollment (ADM).
12. Multiply by the General Education Formula Allowance used to
calculate Basic Revenue ($5,074).
Finally, there is Transportation Sparsity Revenue available, assuming
you can calculate it:
1. Divide the district's square miles by the adjusted enrollment
(AMCPU, see part 1).
2. Take the higher of 0.2 and Result 1 as the District Sparsity Index
(DSI).
3. Take Result 1 as the District Density Index(DDI), but make sure
it's at least 0.005 and no more than 0.2.
4. Add 0.26 to Result 2 (DSI) and compute its common (base 10)
logarithm.
5. Add 0.13 to Result 3 (DDI) and compute its common (base 10)
logarithm.
6. Multiply results 4 and 5.
7. Multiply by 0.1469.
8. Subtract 0.0485.
9. Multiply by the General Education Formula Allowance ($5,074).
That's right, you need to know logarithms to help finance your school
buses. Incidentally, the author overlooked that logarithms of numbers
between 0 and 1 are negative. If it matters further, they still
produce a positive number when multiplied together in step 6.
I'm not going to cover every calculation, but part 4 will detail
another complex formula. I think you see already that considerable
time is being spent - and wasted - developing and complying with these
formulas.
References
1. http://speedgibson.powerblogs.com/posts/1196921233.shtml
2. http://speedgibson.powerblogs.com/posts/1196952124.shtml
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