Sonora 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 meets the grade 3 bar. 2459 vs. 2436.
4th The average 4th grader scores 13 points under the grade 4 bar. 2472 vs. 2485.
5th The average 5th grader meets the grade 5 bar. 2537 vs. 2528.
6th The average 6th grader scores just under the grade 5 bar. 2521 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 4th 33 students Meets the grade 4 bar. 6th 32 students Meets the grade 6 bar.

English learners

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

Grade bars 4th 12 students 10 points under the grade 3 bar. 6th 11 students 31 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	50,713	2412.3	− 2436	−23.7	× 91 / 290	−7.4
4	50,714	2482.2	− 2485	−2.8	× 66 / 290	−0.6
5	50,717	2455.1	− 2528	−72.9	× 61 / 290	−15.3
6	50,718	2506.9	− 2552	−45.1	× 72 / 290	−11.2
Sum, rounded to a whole point						−35

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,096	2417.1	− 2436	−18.9	× 73 / 290	−4.8
4	47,098	2496.6	− 2485	11.6	× 90 / 290	3.6
5	47,100	2498.3	− 2528	−29.7	× 62 / 290	−6.3
6	47,101	2511.1	− 2552	−40.9	× 65 / 290	−9.2
Sum, rounded to a whole point						−17

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	48,381	2437.6	− 2436	1.6	× 75 / 300	0.4
4	48,384	2478.4	− 2485	−6.6	× 71 / 300	−1.6
5	48,386	2504.2	− 2528	−23.8	× 94 / 300	−7.5
6	48,387	2527.5	− 2552	−24.5	× 60 / 300	−4.9
Sum, rounded to a whole point						−14

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	48,392	2445.4	− 2436	9.4	× 50 / 270	1.7
4	48,393	2501.2	− 2485	16.2	× 65 / 270	3.9
5	48,396	2482.3	− 2528	−45.7	× 68 / 270	−11.5
6	48,397	2547.3	− 2552	−4.7	× 87 / 270	−1.5
Sum, rounded to a whole point						−7

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	48,611	2447.2	− 2436	11.2	× 72 / 244	3.3
4	48,612	2544.1	− 2485	59.1	× 50 / 244	12.1
5	48,613	2524.5	− 2528	−3.5	× 59 / 244	−0.8
6	48,614	2518.9	− 2552	−33.1	× 63 / 244	−8.5
Sum, rounded to a whole point						6

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,312	2436.6	− 2436	0.6	× 47 / 214	0.1
4	47,313	2464.0	− 2485	−21	× 45 / 214	−4.4
5	47,314	2456.4	− 2528	−71.6	× 64 / 214	−21.4
6	47,315	2561.0	− 2552	9	× 58 / 214	2.4
Sum, rounded to a whole point						−23

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	48,487	2427.3	− 2436	−8.7	× 57 / 223	−2.2
4	48,488	2465.4	− 2485	−19.6	× 49 / 223	−4.3
5	48,489	2476.9	− 2528	−51.1	× 51 / 223	−11.7
6	48,490	2514.2	− 2552	−37.8	× 66 / 223	−11.2
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
3	48,457	2442.6	− 2436	6.6	× 48 / 204	1.6
4	48,458	2474.1	− 2485	−10.9	× 53 / 204	−2.8
5	48,459	2492.8	− 2528	−35.2	× 49 / 204	−8.5
6	48,460	2518.9	− 2552	−33.1	× 54 / 204	−8.8
Sum, rounded to a whole point						−18

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	48,316	2434.9	− 2436	−1.1	× 52 / 204	−0.3
4	48,317	2466.0	− 2485	−19	× 45 / 204	−4.2
5	48,318	2487.2	− 2528	−40.8	× 52 / 204	−10.4
6	48,319	2507.4	− 2552	−44.6	× 55 / 204	−12
Sum, rounded to a whole point						−27

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	48,078	2423.7	− 2436	−12.3	× 47 / 198	−2.9
4	48,079	2482.9	− 2485	−2.1	× 56 / 198	−0.6
5	48,080	2494.4	− 2528	−33.6	× 44 / 198	−7.5
6	48,081	2525.6	− 2552	−26.4	× 51 / 198	−6.8
Sum, rounded to a whole point						−18

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,935	2458.9	− 2436	22.9	× 47 / 184	5.8
4	47,936	2471.9	− 2485	−13.1	× 45 / 184	−3.2
5	47,937	2537.2	− 2528	9.2	× 49 / 184	2.5
6	47,938	2520.7	− 2552	−31.3	× 43 / 184	−7.3
Sum, rounded to a whole point						−2

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −35, −17, −14, −7, 6, −23, −29, −18, −27, −18, −2 → −16.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 18 · 2016→2017: 3 · 2017→2018: 7 · 2018→2019: 13 · 2019→2021: 29 · 2021→2022: 6 · 2022→2023: 11 · 2023→2024: 9 · 2024→2025: 9 · 2025→2026: 16 → average 12.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 12.1 × 2.66 = 32.2. Upper limit 15.5, lower limit −48.9.

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.