Bancroft 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 scores 23 points under the grade 6 bar. 2529 vs. 2552.
7th The average 7th grader scores just under the grade 6 bar. 2551 vs. 2552. The 7th-grade bar is 2567.
8th The average 8th grader scores just under the grade 7 bar. 2561 vs. 2567. The 8th-grade bar is 2586.

Students fluent in English

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

Grade bars 6th 235 students 15 points under the grade 6 bar. 8th 244 students 18 points under 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 12 students 60 points under the grade 3 bar. 8th 14 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	26,227	2501.4	− 2552	−50.6	× 324 / 1001	−16.4
7	26,230	2530.1	− 2567	−36.9	× 314 / 1001	−11.6
8	26,231	2528.7	− 2586	−57.3	× 363 / 1001	−20.8
Sum, rounded to a whole point						−49

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	24,467	2521.8	− 2552	−30.2	× 329 / 969	−10.3
7	24,469	2535.4	− 2567	−31.6	× 321 / 969	−10.5
8	24,472	2540.5	− 2586	−45.5	× 319 / 969	−15
Sum, rounded to a whole point						−36

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	24,968	2530.2	− 2552	−21.8	× 316 / 966	−7.1
7	24,970	2537.7	− 2567	−29.3	× 334 / 966	−10.1
8	24,973	2555.7	− 2586	−30.3	× 316 / 966	−9.9
Sum, rounded to a whole point						−27

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	24,992	2545.7	− 2552	−6.3	× 279 / 934	−1.9
7	24,994	2534.0	− 2567	−33	× 329 / 934	−11.6
8	24,996	2532.0	− 2586	−54	× 326 / 934	−18.8
Sum, rounded to a whole point						−32

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	25,161	2538.4	− 2552	−13.6	× 318 / 920	−4.7
7	25,162	2563.7	− 2567	−3.3	× 273 / 920	−1
8	25,163	2554.7	− 2586	−31.3	× 329 / 920	−11.2
Sum, rounded to a whole point						−17

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	24,440	2524.6	− 2552	−27.4	× 235 / 715	−9
7	24,441	2534.5	− 2567	−32.5	× 230 / 715	−10.5
8	24,442	2538.4	− 2586	−47.6	× 250 / 715	−16.6
Sum, rounded to a whole point						−36

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	25,108	2525.1	− 2552	−26.9	× 275 / 848	−8.7
7	25,109	2544.3	− 2567	−22.7	× 290 / 848	−7.8
8	25,110	2548.0	− 2586	−38	× 283 / 848	−12.7
Sum, rounded to a whole point						−29

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	25,057	2519.0	− 2552	−33	× 262 / 827	−10.5
7	25,058	2537.5	− 2567	−29.5	× 266 / 827	−9.5
8	25,059	2536.7	− 2586	−49.3	× 299 / 827	−17.8
Sum, rounded to a whole point						−38

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	24,909	2514.4	− 2552	−37.6	× 273 / 795	−12.9
7	24,910	2528.6	− 2567	−38.4	× 258 / 795	−12.5
8	24,911	2540.2	− 2586	−45.8	× 264 / 795	−15.2
Sum, rounded to a whole point						−41

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	24,798	2520.3	− 2552	−31.7	× 253 / 764	−10.5
7	24,799	2531.1	− 2567	−35.9	× 262 / 764	−12.3
8	24,800	2568.3	− 2586	−17.7	× 249 / 764	−5.8
Sum, rounded to a whole point						−29

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	24,826	2528.8	− 2552	−23.2	× 247 / 761	−7.5
7	24,827	2551.2	− 2567	−15.8	× 256 / 761	−5.3
8	24,828	2560.9	− 2586	−25.1	× 258 / 761	−8.5
Sum, rounded to a whole point						−21

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −49, −36, −27, −32, −17, −36, −29, −38, −41, −29, −21 → −32.3
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: 9 · 2017→2018: 5 · 2018→2019: 15 · 2019→2021: 19 · 2021→2022: 7 · 2022→2023: 9 · 2023→2024: 3 · 2024→2025: 12 · 2025→2026: 8 → average 10
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10 × 2.66 = 26.6. Upper limit −5.7, lower limit −58.9.

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.