Dunham Charter: 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 16 points under the grade 3 bar. 2420 vs. 2436.
4th The average 4th grader meets the grade 4 bar. 2505 vs. 2485.
5th The average 5th grader meets the grade 5 bar. 2541 vs. 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	94,133	2420.2	− 2436	−15.8	× 28 / 95	−4.7
4	94,134	2435.4	− 2485	−49.6	× 23 / 95	−12
5	94,137	2516.6	− 2528	−11.4	× 28 / 95	−3.4
6	94,138	2539.1	− 2552	−12.9	× 16 / 95	−2.2
Sum, rounded to a whole point						−22

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	87,388	2498.5	− 2436	62.5	× 24 / 69	21.7
4	87,389	2476.4	− 2485	−8.6	× 26 / 69	−3.2
5	87,392	2511.8	− 2528	−16.2	× 19 / 69	−4.5
Sum, rounded to a whole point						14

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,877	2445.6	− 2436	9.6	× 30 / 80	3.6
4	89,878	2512.3	− 2485	27.3	× 24 / 80	8.2
5	89,880	2557.2	− 2528	29.2	× 26 / 80	9.5
Sum, rounded to a whole point						21

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,093	2470.0	− 2436	34	× 27 / 87	10.6
4	90,096	2468.6	− 2485	−16.4	× 26 / 87	−4.9
5	90,098	2583.5	− 2528	55.5	× 22 / 87	14
6	90,099	2560.6	− 2552	8.6	× 12 / 87	1.2
Sum, rounded to a whole point						21

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,704	2485.4	− 2436	49.4	× 23 / 70	16.2
4	90,705	2487.5	− 2485	2.5	× 25 / 70	0.9
5	90,706	2519.4	− 2528	−8.6	× 22 / 70	−2.7
Sum, rounded to a whole point						14

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,934	2439.5	− 2436	3.5	× 22 / 58	1.3
4	90,935	2454.1	− 2485	−30.9	× 14 / 58	−7.5
5	90,936	2529.0	− 2528	1	× 22 / 58	0.4
Sum, rounded to a whole point						−6

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,828	2465.1	− 2436	29.1	× 19 / 57	9.7
4	90,829	2504.2	− 2485	19.2	× 26 / 57	8.8
5	90,830	2463.2	− 2528	−64.8	× 12 / 57	−13.6
Sum, rounded to a whole point						5

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,777	2453.7	− 2436	17.7	× 27 / 68	7
4	90,778	2524.3	− 2485	39.3	× 16 / 68	9.2
5	90,779	2529.0	− 2528	1	× 25 / 68	0.4
Sum, rounded to a whole point						17

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,467	2465.3	− 2436	29.3	× 23 / 79	8.5
4	90,468	2522.6	− 2485	37.6	× 24 / 79	11.4
5	90,469	2533.2	− 2528	5.2	× 18 / 79	1.2
6	90,470	2536.1	− 2552	−15.9	× 14 / 79	−2.8
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	90,127	2419.6	− 2436	−16.4	× 26 / 68	−6.3
4	90,128	2505.0	− 2485	20	× 21 / 68	6.2
5	90,129	2541.1	− 2528	13.1	× 21 / 68	4
Sum, rounded to a whole point						4

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −22, 14, 21, 21, 14, −6, 5, 17, 18, 4 → 8.6
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 36 · 2016→2017: 7 · 2017→2018: 0 · 2018→2019: 7 · 2019→2022: 20 · 2022→2023: 11 · 2023→2024: 12 · 2024→2025: 1 · 2025→2026: 14 → average 12
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 12 × 2.66 = 31.9. Upper limit 40.5, lower limit −23.3.

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 2014–15, 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.