Hanh Phan Tilley 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 56 points under the grade 3 bar. 2380 vs. 2436.
4th The average 4th grader scores 32 points under the grade 4 bar. 2453 vs. 2485.
5th The average 5th grader scores 32 points under the grade 4 bar. 2453 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores 37 points under the grade 5 bar. 2492 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 3rd 67 students 46 points under the grade 3 bar. 4th 81 students 22 points under the grade 4 bar. 5th 74 students 23 points under the grade 4 bar. 6th 77 students 21 points under the grade 5 bar.

English learners

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

Grade bars 3rd 19 students 91 points under the grade 3 bar. 4th 16 students 33 points under the grade 3 bar. 5th 14 students 28 points under the grade 3 bar. 6th 13 students 36 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	12,362	2361.7	− 2436	−74.3	× 26 / 113	−17.1
4	12,363	2400.0	− 2485	−85	× 33 / 113	−24.8
5	12,366	2422.3	− 2528	−105.7	× 32 / 113	−29.9
6	12,367	2461.8	− 2552	−90.2	× 22 / 113	−17.6
Sum, rounded to a whole point						−89

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,390	2360.0	− 2436	−76	× 40 / 146	−20.8
4	11,393	2422.5	− 2485	−62.5	× 28 / 146	−12
5	11,395	2453.9	− 2528	−74.1	× 42 / 146	−21.3
6	11,397	2399.3	− 2552	−152.7	× 36 / 146	−37.7
Sum, rounded to a whole point						−92

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,717	2378.6	− 2436	−57.4	× 27 / 186	−8.3
4	11,719	2407.6	− 2485	−77.4	× 57 / 186	−23.7
5	11,721	2440.2	− 2528	−87.8	× 52 / 186	−24.5
6	11,723	2462.6	− 2552	−89.4	× 50 / 186	−24
Sum, rounded to a whole point						−81

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,744	2395.6	− 2436	−40.4	× 79 / 216	−14.8
4	11,747	2437.0	− 2485	−48	× 34 / 216	−7.6
5	11,748	2442.0	− 2528	−86	× 59 / 216	−23.5
6	11,751	2457.1	− 2552	−94.9	× 44 / 216	−19.3
Sum, rounded to a whole point						−65

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,839	2389.5	− 2436	−46.5	× 64 / 234	−12.7
4	11,840	2446.3	− 2485	−38.7	× 78 / 234	−12.9
5	11,841	2458.8	− 2528	−69.2	× 37 / 234	−10.9
6	11,842	2431.9	− 2552	−120.1	× 55 / 234	−28.2
Sum, rounded to a whole point						−65

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,814	2364.7	− 2436	−71.3	× 84 / 353	−17
4	11,815	2434.0	− 2485	−51	× 84 / 353	−12.1
5	11,816	2427.3	− 2528	−100.7	× 99 / 353	−28.2
6	11,817	2445.2	− 2552	−106.8	× 86 / 353	−26
Sum, rounded to a whole point						−83

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,797	2378.8	− 2436	−57.2	× 75 / 358	−12
4	11,798	2416.5	− 2485	−68.5	× 91 / 358	−17.4
5	11,799	2440.4	− 2528	−87.6	× 92 / 358	−22.5
6	11,800	2451.8	− 2552	−100.2	× 100 / 358	−28
Sum, rounded to a whole point						−80

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,754	2375.0	− 2436	−61	× 83 / 361	−14
4	11,755	2443.0	− 2485	−42	× 85 / 361	−9.9
5	11,756	2426.4	− 2528	−101.6	× 94 / 361	−26.5
6	11,757	2483.0	− 2552	−69	× 99 / 361	−18.9
Sum, rounded to a whole point						−69

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,695	2393.2	− 2436	−42.8	× 84 / 351	−10.2
4	11,696	2448.1	− 2485	−36.9	× 82 / 351	−8.6
5	11,697	2465.6	− 2528	−62.4	× 86 / 351	−15.3
6	11,698	2455.9	− 2552	−96.1	× 99 / 351	−27.1
Sum, rounded to a whole point						−61

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,715	2380.2	− 2436	−55.8	× 86 / 361	−13.3
4	11,716	2453.4	− 2485	−31.6	× 97 / 361	−8.5
5	11,717	2453.2	− 2528	−74.8	× 88 / 361	−18.2
6	11,718	2491.5	− 2552	−60.5	× 90 / 361	−15.1
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. −89, −92, −81, −65, −65, −83, −80, −69, −61, −55 → −74
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 3 · 2016→2017: 11 · 2017→2018: 16 · 2018→2019: 0 · 2019→2022: 18 · 2022→2023: 3 · 2023→2024: 11 · 2024→2025: 8 · 2025→2026: 6 → average 8.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8.4 × 2.66 = 22.3. Upper limit −51.7, lower limit −96.3.

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 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.