Belvedere 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 6.

All students

3rd The average 3rd grader scores 17 points under the grade 3 bar. 2419 vs. 2436.
4th The average 4th grader scores 46 points under the grade 4 bar. 2439 vs. 2485.
5th The average 5th grader scores 41 points under the grade 4 bar. 2444 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores 16 points under the grade 4 bar. 2469 vs. 2485. 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 72 students Just under the grade 3 bar. 4th 69 students 34 points under the grade 4 bar. 5th 76 students 25 points under the grade 4 bar. 6th 45 students Just under the grade 4 bar.

English learners

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

Grade bars 3rd 18 students 65 points under the grade 3 bar. 4th 16 students 49 points under the grade 3 bar. 5th 13 students 83 points under the grade 3 bar. 6th 13 students 12 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	67,967	2406.8	− 2436	−29.2	× 90 / 337	−7.8
4	67,969	2441.1	− 2485	−43.9	× 89 / 337	−11.6
5	67,971	2462.1	− 2528	−65.9	× 91 / 337	−17.8
6	67,973	2495.3	− 2552	−56.7	× 67 / 337	−11.3
Sum, rounded to a whole point						−48

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	62,976	2405.1	− 2436	−30.9	× 95 / 370	−7.9
4	62,977	2452.6	− 2485	−32.4	× 104 / 370	−9.1
5	62,979	2451.0	− 2528	−77	× 93 / 370	−19.4
6	62,981	2517.2	− 2552	−34.8	× 78 / 370	−7.3
Sum, rounded to a whole point						−44

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,763	2425.8	− 2436	−10.2	× 112 / 404	−2.8
4	64,765	2437.8	− 2485	−47.2	× 90 / 404	−10.5
5	64,767	2479.3	− 2528	−48.7	× 112 / 404	−13.5
6	64,770	2505.2	− 2552	−46.8	× 90 / 404	−10.4
Sum, rounded to a whole point						−37

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,854	2455.8	− 2436	19.8	× 86 / 387	4.4
4	64,855	2458.9	− 2485	−26.1	× 106 / 387	−7.1
5	64,858	2471.1	− 2528	−56.9	× 94 / 387	−13.8
6	64,860	2512.7	− 2552	−39.3	× 101 / 387	−10.3
Sum, rounded to a whole point						−27

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,223	2452.3	− 2436	16.3	× 107 / 392	4.4
4	65,224	2456.8	− 2485	−28.2	× 92 / 392	−6.6
5	65,225	2480.3	− 2528	−47.7	× 114 / 392	−13.9
6	65,226	2484.3	− 2552	−67.7	× 79 / 392	−13.6
Sum, rounded to a whole point						−30

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,314	2409.0	− 2436	−27	× 81 / 331	−6.6
4	65,315	2451.0	− 2485	−34	× 89 / 331	−9.1
5	65,316	2452.8	− 2528	−75.2	× 83 / 331	−18.9
6	65,317	2459.7	− 2552	−92.3	× 78 / 331	−21.8
Sum, rounded to a whole point						−56

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,319	2415.8	− 2436	−20.2	× 94 / 320	−5.9
4	65,320	2441.6	− 2485	−43.4	× 83 / 320	−11.3
5	65,321	2451.9	− 2528	−76.1	× 85 / 320	−20.2
6	65,322	2447.4	− 2552	−104.6	× 58 / 320	−19
Sum, rounded to a whole point						−56

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,287	2408.7	− 2436	−27.3	× 89 / 318	−7.6
4	65,288	2445.2	− 2485	−39.8	× 89 / 318	−11.1
5	65,289	2447.4	− 2528	−80.6	× 84 / 318	−21.3
6	65,290	2462.1	− 2552	−89.9	× 56 / 318	−15.8
Sum, rounded to a whole point						−56

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,047	2390.5	− 2436	−45.5	× 90 / 319	−12.8
4	65,048	2427.0	− 2485	−58	× 87 / 319	−15.8
5	65,049	2430.5	− 2528	−97.5	× 86 / 319	−26.3
6	65,050	2455.1	− 2552	−96.9	× 56 / 319	−17
Sum, rounded to a whole point						−72

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,019	2418.9	− 2436	−17.1	× 90 / 322	−4.8
4	65,020	2439.2	− 2485	−45.8	× 85 / 322	−12.1
5	65,021	2444.3	− 2528	−83.7	× 89 / 322	−23.1
6	65,022	2468.8	− 2552	−83.2	× 58 / 322	−15
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. −48, −44, −37, −27, −30, −56, −56, −56, −72, −55 → −48.1
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 4 · 2016→2017: 7 · 2017→2018: 10 · 2018→2019: 3 · 2019→2022: 26 · 2022→2023: 0 · 2023→2024: 0 · 2024→2025: 16 · 2025→2026: 17 → average 9.2
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.2 × 2.66 = 24.5. Upper limit −23.6, lower limit −72.6.

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.