Annie R. Mitchell: 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 6.

All students

3rd The average 3rd grader scores 37 points under the grade 3 bar. 2399 vs. 2436.
4th The average 4th grader scores just under the grade 3 bar. 2433 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 28 points under the grade 4 bar. 2457 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores 38 points under the grade 5 bar. 2490 vs. 2528. The 6th-grade bar is 2552.

Students fluent in English

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

Grade bars 3rd 76 students 18 points under the grade 3 bar. 4th 78 students 32 points under the grade 4 bar. 5th 72 students 10 points under the grade 4 bar. 6th 91 students 17 points under the grade 5 bar.

English learners

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

Grade bars 3rd 23 students 100 points under the grade 3 bar. 4th 20 students 80 points under the grade 3 bar. 5th 20 students 44 points under the grade 3 bar. 6th 19 students 45 points 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
3	101,791	2386.8	− 2436	−49.2	× 113 / 424	−13.1
4	101,794	2422.3	− 2485	−62.7	× 110 / 424	−16.3
5	101,795	2485.5	− 2528	−42.5	× 115 / 424	−11.5
6	101,798	2508.2	− 2552	−43.8	× 86 / 424	−8.9
Sum, rounded to a whole point						−50

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,503	2372.2	− 2436	−63.8	× 100 / 430	−14.8
4	94,505	2422.0	− 2485	−63	× 104 / 430	−15.2
5	94,507	2465.0	− 2528	−63	× 108 / 430	−15.8
6	94,509	2496.9	− 2552	−55.1	× 118 / 430	−15.1
Sum, rounded to a whole point						−61

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,282	2404.7	− 2436	−31.3	× 90 / 387	−7.3
4	97,285	2422.3	− 2485	−62.7	× 91 / 387	−14.7
5	97,287	2455.5	− 2528	−72.5	× 101 / 387	−18.9
6	97,289	2483.7	− 2552	−68.3	× 105 / 387	−18.5
Sum, rounded to a whole point						−59

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,463	2418.2	− 2436	−17.8	× 106 / 389	−4.9
4	97,466	2444.1	− 2485	−40.9	× 92 / 389	−9.7
5	97,467	2455.5	− 2528	−72.5	× 96 / 389	−17.9
6	97,470	2486.4	− 2552	−65.6	× 95 / 389	−16
Sum, rounded to a whole point						−48

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	98,116	2422.6	− 2436	−13.4	× 106 / 403	−3.5
4	98,117	2429.0	− 2485	−56	× 113 / 403	−15.7
5	98,118	2482.6	− 2528	−45.4	× 94 / 403	−10.6
6	98,119	2470.1	− 2552	−81.9	× 90 / 403	−18.3
Sum, rounded to a whole point						−48

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,983	2424.5	− 2436	−11.5	× 11 / 61	−2.1
4	95,984	2431.4	− 2485	−53.6	× 16 / 61	−14.1
5	95,985	2478.3	− 2528	−49.7	× 11 / 61	−9
6	95,986	2497.3	− 2552	−54.7	× 23 / 61	−20.6
Sum, rounded to a whole point						−46

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	98,316	2382.1	− 2436	−53.9	× 114 / 426	−14.4
4	98,317	2438.5	− 2485	−46.5	× 117 / 426	−12.8
5	98,318	2456.0	− 2528	−72	× 111 / 426	−18.8
6	98,319	2510.1	− 2552	−41.9	× 84 / 426	−8.3
Sum, rounded to a whole point						−54

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	98,159	2403.6	− 2436	−32.4	× 115 / 466	−8
4	98,160	2443.8	− 2485	−41.2	× 113 / 466	−10
5	98,161	2468.0	− 2528	−60	× 116 / 466	−14.9
6	98,162	2495.6	− 2552	−56.4	× 122 / 466	−14.8
Sum, rounded to a whole point						−48

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	98,066	2401.6	− 2436	−34.4	× 100 / 442	−7.8
4	98,067	2436.9	− 2485	−48.1	× 115 / 442	−12.5
5	98,068	2466.5	− 2528	−61.5	× 113 / 442	−15.7
6	98,069	2508.5	− 2552	−43.5	× 114 / 442	−11.2
Sum, rounded to a whole point						−47

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,763	2418.6	− 2436	−17.4	× 101 / 427	−4.1
4	97,764	2443.0	− 2485	−42	× 102 / 427	−10
5	97,765	2457.1	− 2528	−70.9	× 112 / 427	−18.6
6	97,766	2502.7	− 2552	−49.3	× 112 / 427	−12.9
Sum, rounded to a whole point						−46

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,391	2398.9	− 2436	−37.1	× 99 / 399	−9.2
4	97,392	2433.0	− 2485	−52	× 98 / 399	−12.8
5	97,393	2456.7	− 2528	−71.3	× 92 / 399	−16.4
6	97,394	2490.3	− 2552	−61.7	× 110 / 399	−17
Sum, rounded to a whole point						−55

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −50, −61, −59, −48, −48, −46, −54, −48, −47, −46, −55 → −51.1
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 11 · 2016→2017: 2 · 2017→2018: 11 · 2018→2019: 0 · 2019→2021: 2 · 2021→2022: 8 · 2022→2023: 6 · 2023→2024: 1 · 2024→2025: 1 · 2025→2026: 9 → average 5.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 5.1 × 2.66 = 13.6. Upper limit −37.5, lower limit −64.7.

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.