Long Valley Charter: math

The shaded band is this school's normal range. If nothing about how it works changes, nearly every future year should land inside it. Zero means the typical student just meets the state standard. The small numbers under the years are how many students were tested.

Measured against the grade bars

The state's math test uses one scale for every grade, so a score means the same thing in grade 3 as in grade 11.

3rd The average 3rd grader scores 17 points under the grade 3 bar. 2419 vs. 2436.
4th The average 4th grader scores 22 points under the grade 4 bar. 2463 vs. 2485.
5th The average 5th grader scores just under the grade 4 bar. 2484 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores 20 points under the grade 5 bar. 2508 vs. 2528. The 6th-grade bar is 2552.
7th The average 7th grader scores 29 points under the grade 5 bar. 2499 vs. 2528. The 7th-grade bar is 2567.
8th The average 8th grader scores 12 points under the grade 5 bar. 2516 vs. 2528. The 8th-grade bar is 2586.
11th The average 11th grader scores 22 points under the grade 5 bar. 2506 vs. 2528. The 11th-grade bar is 2628.

2019 results. "Meets standard" is the state's mark for being on track for that grade.

Step 1 · Each year's result

For each grade tested, take the average (mean) scale score from the California Department of Education's results file, and subtract the lowest score that counts as "Standard Met" for that grade. That is the grade's distance from standard. Weight each grade by its share of the students tested, then add the grades up. Grades where the state hides the average because ten or fewer students tested are left out entirely.

2015 from sb_ca2015_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	19,883	2404.9	− 2436	−31.1	× 20 / 177	−3.5
4	19,886	2462.9	− 2485	−22.1	× 17 / 177	−2.1
5	19,887	2443.1	− 2528	−84.9	× 25 / 177	−12
6	19,890	2481.5	− 2552	−70.5	× 18 / 177	−7.2
7	19,891	2440.3	− 2567	−126.7	× 23 / 177	−16.5
8	19,893	2551.7	− 2586	−34.3	× 27 / 177	−5.2
11	19,896	2441.6	− 2628	−186.4	× 47 / 177	−49.5
Sum, rounded to a whole point						−96

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	18,865	2390.4	− 2436	−45.6	× 26 / 204	−5.8
4	18,868	2442.1	− 2485	−42.9	× 23 / 204	−4.8
5	18,869	2482.9	− 2528	−45.1	× 24 / 204	−5.3
6	18,872	2445.6	− 2552	−106.4	× 27 / 204	−14.1
7	18,874	2469.2	− 2567	−97.8	× 25 / 204	−12
8	18,876	2474.6	− 2586	−111.4	× 29 / 204	−15.8
11	18,877	2455.7	− 2628	−172.3	× 50 / 204	−42.2
Sum, rounded to a whole point						−100

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	19,194	2407.0	− 2436	−29	× 22 / 177	−3.6
4	19,196	2452.2	− 2485	−32.8	× 21 / 177	−3.9
5	19,199	2422.6	− 2528	−105.4	× 24 / 177	−14.3
6	19,201	2451.1	− 2552	−100.9	× 23 / 177	−13.1
7	19,203	2465.1	− 2567	−101.9	× 27 / 177	−15.5
8	19,204	2498.6	− 2586	−87.4	× 22 / 177	−10.9
11	19,207	2488.8	− 2628	−139.2	× 38 / 177	−29.9
Sum, rounded to a whole point						−91

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	19,197	2414.5	− 2436	−21.5	× 19 / 130	−3.1
4	19,198	2446.4	− 2485	−38.6	× 23 / 130	−6.8
5	19,201	2468.6	− 2528	−59.4	× 21 / 130	−9.6
6	19,202	2476.6	− 2552	−75.4	× 17 / 130	−9.9
7	19,205	2527.1	− 2567	−39.9	× 17 / 130	−5.2
8	19,206	2515.1	− 2586	−70.9	× 20 / 130	−10.9
11	19,209	2530.5	− 2628	−97.5	× 13 / 130	−9.8
Sum, rounded to a whole point						−55

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	19,345	2419.0	− 2436	−17	× 24 / 148	−2.8
4	19,346	2462.7	− 2485	−22.3	× 26 / 148	−3.9
5	19,347	2484.0	− 2528	−44	× 24 / 148	−7.1
6	19,348	2507.7	− 2552	−44.3	× 23 / 148	−6.9
7	19,349	2498.9	− 2567	−68.1	× 19 / 148	−8.7
8	19,350	2516.3	− 2586	−69.7	× 16 / 148	−7.5
11	19,351	2506.1	− 2628	−121.9	× 16 / 148	−13.2
Sum, rounded to a whole point						−50

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −96, −100, −91, −55, −50 → −78.4
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 4 · 2016→2017: 9 · 2017→2018: 36 · 2018→2019: 5 → average 13.5
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 13.5 × 2.66 = 35.9. Upper limit −42.5, lower limit −114.3.

Why 2.66? It is the standard factor from quality control, the work of Walter Shewhart and W. Edwards Deming. It turns "how much the result typically changes in a year" into "how far it can wander by chance alone".

Step 3 · Free or reduced-price meals

The share of enrolled students eligible for free or reduced-price meals. From 2014–15, 2015–16, 2016–17, 2017–18, 2018–19.