Silas Bartsch: 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

3rd The average 3rd grader meets the grade 3 bar. 2489 vs. 2436.
4th The average 4th grader meets the grade 4 bar. 2506 vs. 2485.
5th The average 5th grader meets the grade 5 bar. 2540 vs. 2528.
6th The average 6th grader meets the grade 6 bar. 2552 vs. 2552.
7th The average 7th grader scores 20 points under the grade 6 bar. 2532 vs. 2552. The 7th-grade bar is 2567.
8th The average 8th grader scores just under the grade 8 bar. 2583 vs. 2586.

Students fluent in English

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

Grade bars 3rd 38 students Meets the grade 3 bar. 4th 38 students Meets the grade 4 bar. 5th 67 students Meets the grade 5 bar. 6th 49 students Meets the grade 6 bar. 7th 63 students Just under the grade 7 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 Meets the grade 3 bar. 4th 15 students 37 points under the grade 4 bar. 5th 15 students 32 points under the grade 4 bar. 6th 11 students 19 points under the grade 4 bar. 7th 14 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	11,381	2402.5	− 2436	−33.5	× 58 / 428	−4.5
4	11,382	2445.9	− 2485	−39.1	× 64 / 428	−5.8
5	11,385	2478.6	− 2528	−49.4	× 59 / 428	−6.8
6	11,386	2481.6	− 2552	−70.4	× 96 / 428	−15.8
7	11,389	2477.5	− 2567	−89.5	× 89 / 428	−18.6
8	11,390	2526.1	− 2586	−59.9	× 62 / 428	−8.7
Sum, rounded to a whole point						−60

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,389	2392.9	− 2436	−43.1	× 78 / 451	−7.5
4	10,391	2454.2	− 2485	−30.8	× 58 / 451	−4
5	10,392	2502.2	− 2528	−25.8	× 72 / 451	−4.1
6	10,394	2469.9	− 2552	−82.1	× 63 / 451	−11.5
7	10,396	2502.9	− 2567	−64.1	× 95 / 451	−13.5
8	10,399	2528.3	− 2586	−57.7	× 85 / 451	−10.9
Sum, rounded to a whole point						−51

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,717	2419.0	− 2436	−17	× 78 / 448	−3
4	10,719	2459.0	− 2485	−26	× 70 / 448	−4.1
5	10,720	2518.3	− 2528	−9.7	× 57 / 448	−1.2
6	10,722	2488.8	− 2552	−63.2	× 88 / 448	−12.4
7	10,725	2501.1	− 2567	−65.9	× 60 / 448	−8.8
8	10,726	2541.7	− 2586	−44.3	× 95 / 448	−9.4
Sum, rounded to a whole point						−39

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,729	2417.4	− 2436	−18.6	× 77 / 443	−3.2
4	10,731	2475.0	− 2485	−10	× 91 / 443	−2.1
5	10,732	2522.6	− 2528	−5.4	× 66 / 443	−0.8
6	10,735	2516.2	− 2552	−35.8	× 62 / 443	−5
7	10,736	2505.0	− 2567	−62	× 89 / 443	−12.5
8	10,738	2503.2	− 2586	−82.8	× 58 / 443	−10.8
Sum, rounded to a whole point						−34

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,805	2423.6	− 2436	−12.4	× 72 / 434	−2.1
4	10,806	2484.5	− 2485	−0.5	× 64 / 434	−0.1
5	10,807	2520.3	− 2528	−7.7	× 87 / 434	−1.5
6	10,808	2534.5	− 2552	−17.5	× 63 / 434	−2.5
7	10,809	2552.3	− 2567	−14.7	× 59 / 434	−2
8	10,810	2525.2	− 2586	−60.8	× 89 / 434	−12.5
Sum, rounded to a whole point						−21

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,661	2400.4	− 2436	−35.6	× 71 / 447	−5.7
4	10,662	2432.9	− 2485	−52.1	× 89 / 447	−10.4
5	10,663	2465.8	− 2528	−62.2	× 67 / 447	−9.3
6	10,664	2473.5	− 2552	−78.5	× 70 / 447	−12.3
7	10,665	2508.3	− 2567	−58.7	× 79 / 447	−10.4
8	10,666	2524.4	− 2586	−61.6	× 71 / 447	−9.8
Sum, rounded to a whole point						−58

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,816	2433.7	− 2436	−2.3	× 76 / 438	−0.4
4	10,817	2498.1	− 2485	13.1	× 59 / 438	1.8
5	10,818	2519.0	− 2528	−9	× 92 / 438	−1.9
6	10,819	2483.2	− 2552	−68.8	× 64 / 438	−10.1
7	10,820	2480.7	− 2567	−86.3	× 67 / 438	−13.2
8	10,821	2553.8	− 2586	−32.2	× 80 / 438	−5.9
Sum, rounded to a whole point						−30

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,802	2421.9	− 2436	−14.1	× 49 / 416	−1.7
4	10,803	2491.4	− 2485	6.4	× 83 / 416	1.3
5	10,804	2537.9	− 2528	9.9	× 58 / 416	1.4
6	10,805	2479.4	− 2552	−72.6	× 94 / 416	−16.4
7	10,806	2485.5	− 2567	−81.5	× 70 / 416	−13.7
8	10,807	2497.1	− 2586	−88.9	× 62 / 416	−13.2
Sum, rounded to a whole point						−42

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,762	2470.2	− 2436	34.2	× 78 / 416	6.4
4	10,763	2490.7	− 2485	5.7	× 51 / 416	0.7
5	10,764	2515.0	− 2528	−13	× 82 / 416	−2.6
6	10,765	2512.6	− 2552	−39.4	× 58 / 416	−5.5
7	10,766	2488.1	− 2567	−78.9	× 80 / 416	−15.2
8	10,767	2501.1	− 2586	−84.9	× 67 / 416	−13.7
Sum, rounded to a whole point						−30

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,737	2497.1	− 2436	61.1	× 52 / 406	7.8
4	10,738	2489.9	− 2485	4.9	× 78 / 406	0.9
5	10,739	2540.8	− 2528	12.8	× 51 / 406	1.6
6	10,740	2513.0	− 2552	−39	× 81 / 406	−7.8
7	10,741	2515.9	− 2567	−51.1	× 60 / 406	−7.6
8	10,742	2531.5	− 2586	−54.5	× 84 / 406	−11.3
Sum, rounded to a whole point						−16

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	10,767	2488.6	− 2436	52.6	× 61 / 396	8.1
4	10,768	2506.0	− 2485	21	× 53 / 396	2.8
5	10,769	2540.0	− 2528	12	× 82 / 396	2.5
6	10,770	2552.1	− 2552	0.1	× 60 / 396	0
7	10,771	2532.0	− 2567	−35	× 77 / 396	−6.8
8	10,772	2583.4	− 2586	−2.6	× 63 / 396	−0.4
Sum, rounded to a whole point						6

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −60, −51, −39, −34, −21, −58, −30, −42, −30, −16, 6 → −34.1
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 9 · 2016→2017: 12 · 2017→2018: 5 · 2018→2019: 13 · 2019→2021: 37 · 2021→2022: 28 · 2022→2023: 12 · 2023→2024: 12 · 2024→2025: 14 · 2025→2026: 22 → average 16.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 16.4 × 2.66 = 43.6. Upper limit 9.5, lower limit −77.7.

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.