Hazel Fischer 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 5.

3rd The average 3rd grader scores 43 points under the grade 3 bar. 2393 vs. 2436.
4th The average 4th grader meets the grade 4 bar. 2503 vs. 2485.
5th The average 5th grader scores just under the grade 4 bar. 2478 vs. 2485. The 5th-grade bar is 2528.

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	5,513	2417.9	− 2436	−18.1	× 28 / 75	−6.8
4	5,516	2470.1	− 2485	−14.9	× 16 / 75	−3.2
5	5,517	2541.2	− 2528	13.2	× 31 / 75	5.5
Sum, rounded to a whole point						−4

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,976	2430.8	− 2436	−5.2	× 21 / 70	−1.6
4	4,978	2453.5	− 2485	−31.5	× 31 / 70	−14
5	4,980	2540.2	− 2528	12.2	× 18 / 70	3.1
Sum, rounded to a whole point						−12

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	5,071	2433.3	− 2436	−2.7	× 22 / 77	−0.8
4	5,073	2464.7	− 2485	−20.3	× 24 / 77	−6.3
5	5,075	2482.5	− 2528	−45.5	× 31 / 77	−18.3
Sum, rounded to a whole point						−25

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	5,058	2443.1	− 2436	7.1	× 24 / 70	2.4
4	5,061	2455.8	− 2485	−29.2	× 20 / 70	−8.3
5	5,062	2501.5	− 2528	−26.5	× 26 / 70	−9.8
Sum, rounded to a whole point						−16

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	5,094	2455.5	− 2436	19.5	× 30 / 75	7.8
4	5,095	2474.0	− 2485	−11	× 24 / 75	−3.5
5	5,096	2486.6	− 2528	−41.4	× 21 / 75	−11.6
Sum, rounded to a whole point						−7

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,860	2483.5	− 2436	47.5	× 23 / 65	16.8
4	4,861	2427.7	− 2485	−57.3	× 19 / 65	−16.7
5	4,862	2502.7	− 2528	−25.3	× 23 / 65	−9
Sum, rounded to a whole point						−9

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,939	2470.4	− 2436	34.4	× 28 / 71	13.6
4	4,940	2462.4	− 2485	−22.6	× 26 / 71	−8.3
5	4,941	2445.8	− 2528	−82.2	× 17 / 71	−19.7
Sum, rounded to a whole point						−14

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,933	2471.8	− 2436	35.8	× 32 / 91	12.6
4	4,934	2517.6	− 2485	32.6	× 29 / 91	10.4
5	4,935	2471.2	− 2528	−56.8	× 30 / 91	−18.7
Sum, rounded to a whole point						4

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,884	2405.8	− 2436	−30.2	× 22 / 78	−8.5
4	4,885	2477.5	− 2485	−7.5	× 32 / 78	−3.1
5	4,886	2522.3	− 2528	−5.7	× 24 / 78	−1.8
Sum, rounded to a whole point						−13

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,846	2442.2	− 2436	6.2	× 26 / 77	2.1
4	4,847	2464.9	− 2485	−20.1	× 21 / 77	−5.5
5	4,848	2507.3	− 2528	−20.7	× 30 / 77	−8.1
Sum, rounded to a whole point						−11

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	4,842	2392.6	− 2436	−43.4	× 28 / 77	−15.8
4	4,843	2503.0	− 2485	18	× 27 / 77	6.3
5	4,844	2477.7	− 2528	−50.3	× 22 / 77	−14.4
Sum, rounded to a whole point						−24

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −4, −12, −25, −16, −7, −9, −14, 4, −13, −11, −24 → −11.9
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 8 · 2016→2017: 13 · 2017→2018: 9 · 2018→2019: 9 · 2019→2021: 2 · 2021→2022: 5 · 2022→2023: 18 · 2023→2024: 17 · 2024→2025: 2 · 2025→2026: 13 → average 9.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.6 × 2.66 = 25.5. Upper limit 13.6, lower limit −37.4.

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.