Tomales Elementary: 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.

Many students here are still learning English. The math test is written in English, with some translation help, and many of its questions are word problems. In 2026, 35 of the 90 students who took the math test were English learners.

4th The average 4th grader scores just under the grade 3 bar. 2429 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 48 points under the grade 4 bar. 2437 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores 23 points under the grade 3 bar. 2413 vs. 2436. The 6th-grade bar is 2552.
7th The average 7th grader scores 10 points under the grade 5 bar. 2518 vs. 2528. The 7th-grade bar is 2567.
8th The average 8th grader scores 10 points under the grade 5 bar. 2518 vs. 2528. The 8th-grade bar is 2586.

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
3	42,740	2402.3	− 2436	−33.7	× 14 / 120	−3.9
4	42,741	2476.1	− 2485	−8.9	× 14 / 120	−1
5	42,744	2460.8	− 2528	−67.2	× 19 / 120	−10.6
6	42,745	2516.1	− 2552	−35.9	× 19 / 120	−5.7
7	42,748	2529.5	− 2567	−37.5	× 26 / 120	−8.1
8	42,749	2529.2	− 2586	−56.8	× 28 / 120	−13.3
Sum, rounded to a whole point						−43

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	39,471	2379.1	− 2436	−56.9	× 12 / 128	−5.3
4	39,474	2456.3	− 2485	−28.7	× 18 / 128	−4
5	39,475	2489.2	− 2528	−38.8	× 18 / 128	−5.5
6	39,477	2467.8	− 2552	−84.2	× 30 / 128	−19.7
7	39,479	2480.0	− 2567	−87	× 25 / 128	−17
8	39,481	2531.0	− 2586	−55	× 25 / 128	−10.7
Sum, rounded to a whole point						−62

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	40,497	2490.0	− 2485	5	× 11 / 86	0.6
5	40,498	2428.1	− 2528	−99.9	× 15 / 86	−17.4
6	40,500	2502.2	− 2552	−49.8	× 19 / 86	−11
7	40,502	2523.5	− 2567	−43.5	× 22 / 86	−11.1
8	40,505	2544.6	− 2586	−41.4	× 19 / 86	−9.1
Sum, rounded to a whole point						−48

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	40,492	2425.4	− 2436	−10.6	× 13 / 105	−1.3
4	40,493	2483.2	− 2485	−1.8	× 12 / 105	−0.2
5	40,496	2479.8	− 2528	−48.2	× 13 / 105	−6
6	40,498	2448.5	− 2552	−103.5	× 20 / 105	−19.7
7	40,500	2534.4	− 2567	−32.6	× 22 / 105	−6.8
8	40,501	2553.6	− 2586	−32.4	× 25 / 105	−7.7
Sum, rounded to a whole point						−42

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	40,636	2393.3	− 2436	−42.7	× 12 / 98	−5.2
4	40,637	2449.5	− 2485	−35.5	× 13 / 98	−4.7
5	40,638	2462.4	− 2528	−65.6	× 15 / 98	−10
6	40,639	2506.7	− 2552	−45.3	× 14 / 98	−6.5
7	40,640	2478.0	− 2567	−89	× 23 / 98	−20.9
8	40,641	2536.9	− 2586	−49.1	× 21 / 98	−10.5
Sum, rounded to a whole point						−58

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	39,573	2410.5	− 2436	−25.5	× 15 / 80	−4.8
4	39,574	2404.3	− 2485	−80.7	× 17 / 80	−17.1
6	39,576	2470.5	− 2552	−81.5	× 18 / 80	−18.3
7	39,577	2506.5	− 2567	−60.5	× 15 / 80	−11.3
8	39,578	2533.6	− 2586	−52.4	× 15 / 80	−9.8
Sum, rounded to a whole point						−61

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	40,397	2398.4	− 2436	−37.6	× 13 / 101	−4.8
4	40,398	2450.8	− 2485	−34.2	× 18 / 101	−6.1
5	40,399	2450.0	− 2528	−78	× 22 / 101	−17
6	40,400	2492.5	− 2552	−59.5	× 13 / 101	−7.7
7	40,401	2506.4	− 2567	−60.6	× 19 / 101	−11.4
8	40,402	2511.4	− 2586	−74.6	× 16 / 101	−11.8
Sum, rounded to a whole point						−59

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	40,445	2433.4	− 2485	−51.6	× 12 / 85	−7.3
5	40,446	2448.4	− 2528	−79.6	× 16 / 85	−15
6	40,447	2459.2	− 2552	−92.8	× 24 / 85	−26.2
7	40,448	2529.1	− 2567	−37.9	× 13 / 85	−5.8
8	40,449	2507.5	− 2586	−78.5	× 20 / 85	−18.5
Sum, rounded to a whole point						−73

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	40,265	2360.2	− 2436	−75.8	× 17 / 85	−15.2
5	40,267	2419.0	− 2528	−109	× 11 / 85	−14.1
6	40,268	2473.9	− 2552	−78.1	× 20 / 85	−18.4
7	40,269	2502.5	− 2567	−64.5	× 23 / 85	−17.5
8	40,270	2472.7	− 2586	−113.3	× 14 / 85	−18.7
Sum, rounded to a whole point						−84

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	40,046	2392.8	− 2436	−43.2	× 19 / 96	−8.6
4	40,047	2424.0	− 2485	−61	× 16 / 96	−10.2
6	40,049	2487.5	− 2552	−64.5	× 15 / 96	−10.1
7	40,050	2487.8	− 2567	−79.2	× 21 / 96	−17.3
8	40,051	2503.0	− 2586	−83	× 25 / 96	−21.6
Sum, rounded to a whole point						−68

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	39,957	2428.5	− 2485	−56.5	× 19 / 90	−11.9
5	39,958	2436.6	− 2528	−91.4	× 19 / 90	−19.3
6	39,959	2413.2	− 2552	−138.8	× 18 / 90	−27.8
7	39,960	2518.2	− 2567	−48.8	× 14 / 90	−7.6
8	39,961	2518.3	− 2586	−67.7	× 20 / 90	−15
Sum, rounded to a whole point						−82

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −43, −62, −48, −42, −58, −61, −59, −73, −84, −68, −82 → −61.8
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 19 · 2016→2017: 14 · 2017→2018: 6 · 2018→2019: 16 · 2019→2021: 3 · 2021→2022: 2 · 2022→2023: 14 · 2023→2024: 11 · 2024→2025: 16 · 2025→2026: 14 → average 11.5
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 11.5 × 2.66 = 30.6. Upper limit −31.2, lower limit −92.4.

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.