Sinsheimer 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.

3rd The average 3rd grader meets the grade 3 bar. 2472 vs. 2436.
4th The average 4th grader meets the grade 4 bar. 2503 vs. 2485.
5th The average 5th grader meets the grade 5 bar. 2555 vs. 2528.
6th The average 6th grader scores 10 points under the grade 6 bar. 2542 vs. 2552.

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	81,979	2456.0	− 2436	20	× 53 / 213	5
4	81,980	2492.5	− 2485	7.5	× 59 / 213	2.1
5	81,983	2529.7	− 2528	1.7	× 59 / 213	0.5
6	81,984	2547.1	− 2552	−4.9	× 42 / 213	−1
Sum, rounded to a whole point						7

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,024	2459.5	− 2436	23.5	× 54 / 225	5.6
4	76,026	2508.2	− 2485	23.2	× 57 / 225	5.9
5	76,029	2541.4	− 2528	13.4	× 61 / 225	3.6
6	76,030	2567.9	− 2552	15.9	× 53 / 225	3.7
Sum, rounded to a whole point						19

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	78,061	2480.9	− 2436	44.9	× 59 / 226	11.7
4	78,063	2499.1	− 2485	14.1	× 51 / 226	3.2
5	78,066	2550.5	− 2528	22.5	× 56 / 226	5.6
6	78,067	2569.0	− 2552	17	× 60 / 226	4.5
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	78,217	2481.6	− 2436	45.6	× 59 / 218	12.3
4	78,218	2517.4	− 2485	32.4	× 61 / 218	9.1
5	78,221	2544.9	− 2528	16.9	× 46 / 218	3.6
6	78,222	2586.7	− 2552	34.7	× 52 / 218	8.3
Sum, rounded to a whole point						33

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	78,747	2514.0	− 2436	78	× 65 / 227	22.3
4	78,748	2524.2	− 2485	39.2	× 55 / 227	9.5
5	78,749	2573.3	− 2528	45.3	× 59 / 227	11.8
6	78,750	2562.3	− 2552	10.3	× 48 / 227	2.2
Sum, rounded to a whole point						46

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,308	2455.1	− 2436	19.1	× 35 / 206	3.2
4	77,309	2503.3	− 2485	18.3	× 55 / 206	4.9
5	77,310	2531.3	− 2528	3.3	× 60 / 206	1
6	77,311	2544.5	− 2552	−7.5	× 56 / 206	−2
Sum, rounded to a whole point						7

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,015	2514.2	− 2436	78.2	× 50 / 217	18
4	79,016	2510.5	− 2485	25.5	× 40 / 217	4.7
5	79,017	2507.0	− 2528	−21	× 62 / 217	−6
6	79,018	2592.7	− 2552	40.7	× 65 / 217	12.2
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	78,997	2468.5	− 2436	32.5	× 57 / 201	9.2
4	78,998	2538.5	− 2485	53.5	× 44 / 201	11.7
5	78,999	2520.8	− 2528	−7.2	× 45 / 201	−1.6
6	79,000	2539.5	− 2552	−12.5	× 55 / 201	−3.4
Sum, rounded to a whole point						16

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,023	2500.6	− 2436	64.6	× 42 / 190	14.3
4	79,024	2509.2	− 2485	24.2	× 60 / 190	7.6
5	79,025	2542.7	− 2528	14.7	× 43 / 190	3.3
6	79,026	2546.1	− 2552	−5.9	× 45 / 190	−1.4
Sum, rounded to a whole point						24

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	78,701	2486.2	− 2436	50.2	× 51 / 205	12.5
4	78,702	2508.0	− 2485	23	× 43 / 205	4.8
5	78,703	2505.6	− 2528	−22.4	× 66 / 205	−7.2
6	78,704	2596.8	− 2552	44.8	× 45 / 205	9.8
Sum, rounded to a whole point						20

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	78,621	2472.4	− 2436	36.4	× 64 / 212	11
4	78,622	2502.5	− 2485	17.5	× 45 / 212	3.7
5	78,623	2555.0	− 2528	27	× 44 / 212	5.6
6	78,624	2542.3	− 2552	−9.7	× 59 / 212	−2.7
Sum, rounded to a whole point						18

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 7, 19, 25, 33, 46, 7, 29, 16, 24, 20, 18 → 22.2
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 12 · 2016→2017: 6 · 2017→2018: 8 · 2018→2019: 13 · 2019→2021: 39 · 2021→2022: 22 · 2022→2023: 13 · 2023→2024: 8 · 2024→2025: 4 · 2025→2026: 2 → average 12.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 12.7 × 2.66 = 33.8. Upper limit 56, lower limit −11.6.

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.