Castillero Middle: 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 8.

All students

6th The average 6th grader meets the grade 6 bar. 2567 vs. 2552.
7th The average 7th grader meets the grade 7 bar. 2581 vs. 2567.
8th The average 8th grader meets the grade 8 bar. 2602 vs. 2586.

Students fluent in English

Math with English out of the way. Includes students who have only ever spoken English.

Grade bars 6th 257 students Meets the grade 6 bar. 7th 245 students Meets the grade 7 bar. 8th 243 students Meets the grade 8 bar.

English learners

Students leave this group as they become fluent, so its average stays low even where they learn well.

Grade bars 6th 28 students 17 points under the grade 3 bar. 7th 34 students 37 points under the grade 4 bar. 8th 30 students Just under the grade 3 bar.

the group's average that grade's own bar the distance between

2026 results. "Meets standard" is the state's mark for being on track for that grade. The state leaves out any group of ten students or fewer, so a grade may be missing from the charts.

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
6	89,081	2519.2	− 2552	−32.8	× 372 / 1215	−10
7	89,083	2551.8	− 2567	−15.2	× 418 / 1215	−5.2
8	89,085	2576.1	− 2586	−9.9	× 425 / 1215	−3.5
Sum, rounded to a whole point						−19

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	82,685	2543.1	− 2552	−8.9	× 355 / 1156	−2.7
7	82,688	2562.7	− 2567	−4.3	× 379 / 1156	−1.4
8	82,689	2582.2	− 2586	−3.8	× 422 / 1156	−1.4
Sum, rounded to a whole point						−6

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	84,975	2540.4	− 2552	−11.6	× 378 / 1119	−3.9
7	84,978	2559.8	− 2567	−7.2	× 371 / 1119	−2.4
8	84,980	2578.8	− 2586	−7.2	× 370 / 1119	−2.4
Sum, rounded to a whole point						−9

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	85,191	2531.3	− 2552	−20.7	× 369 / 1155	−6.6
7	85,194	2564.4	− 2567	−2.6	× 396 / 1155	−0.9
8	85,195	2579.6	− 2586	−6.4	× 390 / 1155	−2.2
Sum, rounded to a whole point						−10

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	85,785	2523.7	− 2552	−28.3	× 355 / 1104	−9.1
7	85,786	2549.2	− 2567	−17.8	× 355 / 1104	−5.7
8	85,787	2597.1	− 2586	11.1	× 394 / 1104	4
Sum, rounded to a whole point						−11

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	84,011	2522.4	− 2552	−29.6	× 295 / 922	−9.5
7	84,012	2551.6	− 2567	−15.4	× 340 / 922	−5.7
8	84,013	2566.0	− 2586	−20	× 287 / 922	−6.2
Sum, rounded to a whole point						−21

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	85,980	2529.6	− 2552	−22.4	× 275 / 941	−6.5
7	85,981	2563.7	− 2567	−3.3	× 314 / 941	−1.1
8	85,982	2581.1	− 2586	−4.9	× 352 / 941	−1.8
Sum, rounded to a whole point						−9

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	85,898	2525.4	− 2552	−26.6	× 284 / 870	−8.7
7	85,899	2552.7	− 2567	−14.3	× 285 / 870	−4.7
8	85,900	2585.6	− 2586	−0.4	× 301 / 870	−0.1
Sum, rounded to a whole point						−14

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	85,890	2559.0	− 2552	7	× 268 / 807	2.3
7	85,891	2554.8	− 2567	−12.2	× 280 / 807	−4.2
8	85,892	2570.6	− 2586	−15.4	× 259 / 807	−4.9
Sum, rounded to a whole point						−7

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	85,576	2547.6	− 2552	−4.4	× 287 / 854	−1.5
7	85,577	2580.6	− 2567	13.6	× 280 / 854	4.5
8	85,578	2573.3	− 2586	−12.7	× 287 / 854	−4.3
Sum, rounded to a whole point						−1

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	85,333	2566.5	− 2552	14.5	× 285 / 840	4.9
7	85,334	2580.9	− 2567	13.9	× 281 / 840	4.6
8	85,335	2602.2	− 2586	16.2	× 274 / 840	5.3
Sum, rounded to a whole point						15

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −19, −6, −9, −10, −11, −21, −9, −14, −7, −1, 15 → −8.4
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 13 · 2016→2017: 3 · 2017→2018: 1 · 2018→2019: 1 · 2019→2021: 10 · 2021→2022: 12 · 2022→2023: 5 · 2023→2024: 7 · 2024→2025: 6 · 2025→2026: 16 → average 7.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.4 × 2.66 = 19.7. Upper limit 11.3, lower limit −28.1.

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.