Thursday, April 28, 2016

Optimizing Lower (Basic, General, Primary and Secondary, &c.) Education

As noted in the Summer Vacation post, 180 school days gives the same performance in any one full year interval. However, the learning slide is real, but it is not a summer slide. That is, learning lost is not because of summer, but because of a lack of learning. Therefore, an optimization is to remove the vacation itself.

Removing the vacation itself will improve learning subject to the possibility of burn-outs. However, we know that burn-outs are not likely to occur with our modern HVAC system. So how do we optimize?

First, there are a few constraints. The most notable ones are:
  • 180 school day academic year constraint by many states (180 days -> 36 weeks)
  • Carnegie Unit (120 clock hour = 144 academic hour ~> 145/150 academic hour -> 29/30 weeks)
However, we desire to make an optimized system.
  • 6 days per week
    • 13 week Trimester
    • 75 days per Trimester
    • 2 trimester per Carnegie Unit
    • 4 Trimester School Year = 52 Week School Year > 36 Week School Year
    • 8 Class per Trimester = 16 Carnegie Unit per Year 
    • Fully Optimized
  • 5 days per week
    • 16 week Trimester
    • 75 days per trimester
    • 2 trimester per Carnegie Unit
    • 3 Trimester School Year = 48 Week School Year > 36 Week School Year
    • 8 Class per Trimester = 12 Carnegie Unit per Year
    • Optimized
  • 5 days per week
    • 13 week Trimester
    • 60 days per trimester
    • 3 trimester per Carnegie Unit 
    • 3 or 4 Trimester School Year = 39 or 52 Week School Year > 36 Week School Year
    • 8 Class per Trimester = 8 to 10+2/3 Carnegie Unit per Year 
    • Unoptimized
The Fully Optimized 6 day school week
  • 2 Grade Levels per Year
  • Complete Grades 1 to 12 in 6 Years
The Optimized 5 day school week
  • 1.5 Grade Level per Year
  • Complete Grade 1 to 12 in 8 Years
The Unoptimized 5 day school week
  • 4/3 Grade Level per Year
  • Complete Grade 1 to 12 in 9 Years
Mixing the Unoptimized 5 day school week system with the Fully Optimized 6 day school week system has an advantage: Struggling students could switch to the slower paced system and it is easier to transfer since every term is 13 weeks.


  • Students are Separated into Five (Six) Tracks
  • The Tracks
    • Essential Track
      • 6 days per week
      • 4 Trimester per Grade Level
      • 300 school days per Grade Level 
      • Grade 1 to 8 in 8 Years then Advanced Placement College Replace High School OR
      • Grade 1 to 9 in 9 Years then go to APC OR
      • Grade 1 to 10 in 10 Years then go to APC OR
      • Grade 1 to 11 in 11 Years then go to APC OR
      • Grade 1 to 12 in 12 Years then go to APC
    • Dull Track
      • 5 days per week --> 6 days per week for APC
      • 4 Trimester per Grade Level
      • 240 school days per Grade Level
      • Grade 1 to 8 in 8 Years then Advanced Placement College Replace High School OR
      • Grade 1 to 9 in 9 Years then go to APC OR
      • Grade 1 to 10 in 10 Years then go to APC OR
      • Grade 1 to 11 in 11 Years then go to APC OR
      • Grade 1 to 12 in 12 Years then go to APC
    • Common Track
      • 6 days per week
      • 3 Trimester per Grade Level
      • 225 school days per Grade Level
      • Grade 1 to 8 in 6 Years then Advanced Placement College Replace High School OR
      • Grade 1 to 9 in Common Track, and Grade 10 in Essential Track in 7 Years then go to APC OR 
      • Grade 1 to 9 in Common Track, and Grade 10 to 11 in Essential Track in 8 Years then go to APC OR
      • Grade 1 to 12 in 9 Years then go to APC
    • Brilliant Track (9 Year)
      • 5 days per week --> 6 days per week for APC
      • 3 Trimester per Grade Level
      • 180 school days per Grade Level
      • Grade 1 to 8 in 6 Years then Advanced Placement College Replace High School OR
      • Grade 1 to 9 in Common Track, and Grade 10 in Dull Track in 7 Years then go to APC OR 
      • Grade 1 to 9 in Common Track, and Grade 10 to 11 in Dull Track in 8 Years then go to APC OR
      • Grade 1 to 12 in 9 Years then go to APC
    • Advanced Track (6 Year)
      • 6 days per week
      • 2 Trimester per Grade Level
      • 150 school days per Grade Level
      • Grade 1 to 8 in 4 Years 
      • Advanced Placement College Replace High School OR
      • Grade 1 to 10 in 5 Years then go to APC OR
      • Grade 1 to 12 in 6 Years then go to APC
    • Superb Track (6 Year)
      • 5 days per week --> 6 days per week for APC
      • 2 Trimester per Grade Level
      • 120 school days per Grade Level
        • Violates Carnegie Unit
          • Algebra must meet 3 or 4 terms to ensure a Carnegie Unit
          • Okay since this is before "high school"
      • Grades 1 to 8 in 4 Years then Advanced Placement College Replace High School OR
      • Grade 1 to 10 in 5 Years then go to APC OR
      • Grade 1 to 12 in 6 Years then go to APC
  • Students in the Essential, Common, and Advanced Tracks have a school year of 300 school days, though they have grade promotions at differing times.
  • Students in the Dull, Brilliant, and Superb Tracks have a school year of 240 school days, though they have grade promotions at differing times.
  • However, the Superb Track violates the Carnegie Unit by having 120 academic hours (100 clock hours) short from the 144 academic hours (120 clock hours) required by the Carnegie Unit.
    • An edge case occurs when
      • Each clock hour is 60 minutes of contact with 50 minutes of learning to 60 minutes of learning.
      • Each academic hour is 50 minutes of contact with 41 minutes 40 seconds of learning to 50 minutes of learning
      • The worst case for the clock hour is 50 minute of learning, and the best case for the academic hour is 50 minute of learning!
  • Advantage of the 6-day per week track
    • Advanced Placement
      • 300 academic hour / 6 semester unit = 50 academic hour per semester unit > 45 academic hour per semester unit (Federal Minimum)
      • Students shall meet 1 hour per unit for all four trimester of the year. A typical 6 unit class would be meet six days per week,while a four unit class would meet four days per week, or three days per week with one day per week for the lab component. An 8 unit class would be six days per week for the lecture component, and 2 days per week for the lab component.
      • A typical schedule is in the following post
      • Physical Education is added into the mix to ensure a full 48 unit load per year, or 12 unit load per trimester.

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