Sotomayor Arts and Sciences Magnet: 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 5 bar

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.

6th The average 6th grader scores 26 points under the grade 5 bar. 2502 vs. 2528. The 6th-grade bar is 2552.
7th The average 7th grader scores 17 points under the grade 5 bar. 2511 vs. 2528. The 7th-grade bar is 2567.
8th The average 8th grader scores 27 points under the grade 5 bar. 2501 vs. 2528. The 8th-grade bar is 2586.
11th The average 11th grader scores just under the grade 5 bar. 2522 vs. 2528. The 11th-grade bar is 2628.

2026 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
11	28,144	2480.8	− 2628	−147.2	× 41 / 41	−147.2
Sum, rounded to a whole point						−147

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	26,206	2518.2	− 2628	−109.8	× 49 / 49	−109.8
Sum, rounded to a whole point						−110

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	26,691	2477.7	− 2628	−150.3	× 54 / 54	−150.3
Sum, rounded to a whole point						−150

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	26,662	2490.4	− 2628	−137.6	× 49 / 49	−137.6
Sum, rounded to a whole point						−138

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	26,795	2495.7	− 2628	−132.3	× 100 / 100	−132.3
Sum, rounded to a whole point						−132

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	25,992	2532.9	− 2628	−95.1	× 88 / 88	−95.1
Sum, rounded to a whole point						−95

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	26,729	2455.2	− 2552	−96.8	× 58 / 269	−20.9
7	26,730	2456.5	− 2567	−110.5	× 49 / 269	−20.1
8	26,731	2457.8	− 2586	−128.2	× 86 / 269	−41
11	26,732	2447.3	− 2628	−180.7	× 76 / 269	−51.1
Sum, rounded to a whole point						−133

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	26,682	2480.7	− 2552	−71.3	× 58 / 237	−17.4
7	26,683	2471.8	− 2567	−95.2	× 69 / 237	−27.7
8	26,684	2467.4	− 2586	−118.6	× 59 / 237	−29.5
11	26,685	2542.3	− 2628	−85.7	× 51 / 237	−18.4
Sum, rounded to a whole point						−93

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	26,532	2490.4	− 2552	−61.6	× 48 / 259	−11.4
7	26,533	2485.4	− 2567	−81.6	× 70 / 259	−22.1
8	26,534	2448.3	− 2586	−137.7	× 71 / 259	−37.7
11	26,535	2523.9	− 2628	−104.1	× 70 / 259	−28.1
Sum, rounded to a whole point						−99

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	26,419	2467.5	− 2552	−84.5	× 52 / 270	−16.3
7	26,420	2498.7	− 2567	−68.3	× 68 / 270	−17.2
8	26,421	2499.3	− 2586	−86.7	× 65 / 270	−20.9
11	26,422	2548.7	− 2628	−79.3	× 85 / 270	−25
Sum, rounded to a whole point						−79

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	26,431	2501.6	− 2552	−50.4	× 57 / 266	−10.8
7	26,432	2511.4	− 2567	−55.6	× 74 / 266	−15.5
8	26,433	2501.0	− 2586	−85	× 69 / 266	−22
11	26,434	2522.2	− 2628	−105.8	× 66 / 266	−26.3
Sum, rounded to a whole point						−75

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −147, −110, −150, −138, −132, −95, −133, −93, −99, −79, −75 → −113.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 37 · 2016→2017: 40 · 2017→2018: 12 · 2018→2019: 6 · 2019→2021: 37 · 2021→2022: 38 · 2022→2023: 40 · 2023→2024: 6 · 2024→2025: 20 · 2025→2026: 4 → average 24
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 24 × 2.66 = 63.8. Upper limit −49.9, lower limit −177.5.

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".

Years with no result (no state tests were given in spring 2020) are skipped: the year-to-year change runs from the last year with a result to the next one.

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, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.