American Union 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.

3rd The average 3rd grader scores 12 points under the grade 3 bar. 2424 vs. 2436.
4th The average 4th grader scores 16 points under the grade 4 bar. 2469 vs. 2485.
5th The average 5th grader scores 35 points under the grade 4 bar. 2450 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores just under the grade 5 bar. 2523 vs. 2528. The 6th-grade bar is 2552.
7th The average 7th grader scores 11 points under the grade 5 bar. 2517 vs. 2528. The 7th-grade bar is 2567.
8th The average 8th grader scores 31 points under the grade 5 bar. 2497 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	12,922	2435.3	− 2436	−0.7	× 32 / 183	−0.1
4	12,925	2429.9	− 2485	−55.1	× 44 / 183	−13.2
5	12,926	2452.9	− 2528	−75.1	× 24 / 183	−9.8
6	12,929	2472.7	− 2552	−79.3	× 36 / 183	−15.6
7	12,930	2486.6	− 2567	−80.4	× 20 / 183	−8.8
8	12,933	2466.1	− 2586	−119.9	× 27 / 183	−17.7
Sum, rounded to a whole point						−65

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,942	2414.3	− 2436	−21.7	× 39 / 188	−4.5
4	11,945	2452.3	− 2485	−32.7	× 28 / 188	−4.9
5	11,947	2455.4	− 2528	−72.6	× 44 / 188	−17
6	11,949	2461.0	− 2552	−91	× 23 / 188	−11.1
7	11,951	2519.6	− 2567	−47.4	× 34 / 188	−8.6
8	11,953	2515.3	− 2586	−70.7	× 20 / 188	−7.5
Sum, rounded to a whole point						−54

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,270	2408.3	− 2436	−27.7	× 39 / 208	−5.2
4	12,272	2476.3	− 2485	−8.7	× 40 / 208	−1.7
5	12,274	2501.8	− 2528	−26.2	× 28 / 208	−3.5
6	12,275	2487.8	− 2552	−64.2	× 44 / 208	−13.6
7	12,277	2505.8	− 2567	−61.2	× 24 / 208	−7.1
8	12,280	2546.7	− 2586	−39.3	× 33 / 208	−6.2
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	12,301	2461.8	− 2436	25.8	× 30 / 207	3.7
4	12,302	2462.2	− 2485	−22.8	× 43 / 207	−4.7
5	12,305	2497.9	− 2528	−30.1	× 40 / 207	−5.8
6	12,306	2474.7	− 2552	−77.3	× 29 / 207	−10.8
7	12,309	2529.5	− 2567	−37.5	× 44 / 207	−8
8	12,310	2537.6	− 2586	−48.4	× 21 / 207	−4.9
Sum, rounded to a whole point						−31

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,407	2416.4	− 2436	−19.6	× 43 / 242	−3.5
4	12,408	2484.2	− 2485	−0.8	× 32 / 242	−0.1
5	12,409	2493.7	− 2528	−34.3	× 43 / 242	−6.1
6	12,410	2525.7	− 2552	−26.3	× 43 / 242	−4.7
7	12,411	2553.1	− 2567	−13.9	× 31 / 242	−1.8
8	12,412	2548.5	− 2586	−37.5	× 50 / 242	−7.7
Sum, rounded to a whole point						−24

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,223	2372.6	− 2436	−63.4	× 28 / 200	−8.9
4	12,224	2440.9	− 2485	−44.1	× 38 / 200	−8.4
5	12,225	2441.7	− 2528	−86.3	× 43 / 200	−18.6
6	12,226	2492.1	− 2552	−59.9	× 29 / 200	−8.7
7	12,227	2514.5	− 2567	−52.5	× 30 / 200	−7.9
8	12,228	2528.0	− 2586	−58	× 32 / 200	−9.3
Sum, rounded to a whole point						−62

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,408	2427.0	− 2436	−9	× 22 / 201	−1
4	12,409	2423.4	− 2485	−61.6	× 33 / 201	−10.1
5	12,410	2447.2	− 2528	−80.8	× 36 / 201	−14.5
6	12,411	2481.3	− 2552	−70.7	× 48 / 201	−16.9
7	12,412	2542.4	− 2567	−24.6	× 28 / 201	−3.4
8	12,413	2488.2	− 2586	−97.8	× 34 / 201	−16.5
Sum, rounded to a whole point						−62

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,391	2451.6	− 2436	15.6	× 22 / 179	1.9
4	12,392	2476.4	− 2485	−8.6	× 18 / 179	−0.9
5	12,393	2461.9	− 2528	−66.1	× 27 / 179	−10
6	12,394	2478.7	− 2552	−73.3	× 39 / 179	−16
7	12,395	2491.8	− 2567	−75.2	× 45 / 179	−18.9
8	12,396	2473.9	− 2586	−112.1	× 28 / 179	−17.5
Sum, rounded to a whole point						−61

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,366	2392.6	− 2436	−43.4	× 38 / 189	−8.7
4	12,367	2508.1	− 2485	23.1	× 28 / 189	3.4
5	12,368	2482.6	− 2528	−45.4	× 20 / 189	−4.8
6	12,369	2501.5	− 2552	−50.5	× 23 / 189	−6.1
7	12,370	2472.7	− 2567	−94.3	× 38 / 189	−19
8	12,371	2462.3	− 2586	−123.7	× 42 / 189	−27.5
Sum, rounded to a whole point						−63

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,337	2415.4	− 2436	−20.6	× 27 / 170	−3.3
4	12,338	2438.5	− 2485	−46.5	× 35 / 170	−9.6
5	12,339	2502.4	− 2528	−25.6	× 27 / 170	−4.1
6	12,340	2521.4	− 2552	−30.6	× 20 / 170	−3.6
7	12,341	2469.5	− 2567	−97.5	× 24 / 170	−13.8
8	12,342	2425.9	− 2586	−160.1	× 37 / 170	−34.8
Sum, rounded to a whole point						−69

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,357	2424.3	− 2436	−11.7	× 34 / 167	−2.4
4	12,358	2468.7	− 2485	−16.3	× 25 / 167	−2.4
5	12,359	2450.3	− 2528	−77.7	× 33 / 167	−15.4
6	12,360	2522.6	− 2552	−29.4	× 29 / 167	−5.1
7	12,361	2516.8	− 2567	−50.2	× 21 / 167	−6.3
8	12,362	2496.9	− 2586	−89.1	× 25 / 167	−13.3
Sum, rounded to a whole point						−45

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −65, −54, −37, −31, −24, −62, −62, −61, −63, −69, −45 → −52.1
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: 17 · 2017→2018: 6 · 2018→2019: 7 · 2019→2021: 38 · 2021→2022: 0 · 2022→2023: 1 · 2023→2024: 2 · 2024→2025: 6 · 2025→2026: 24 → average 11.2
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 11.2 × 2.66 = 29.8. Upper limit −22.3, lower limit −81.9.

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.