Maria Montessori Charter Academy: 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.

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	54,708	2438.1	− 2436	2.1	× 32 / 161	0.4
4	54,711	2506.8	− 2485	21.8	× 28 / 161	3.8
5	54,712	2529.1	− 2528	1.1	× 30 / 161	0.2
6	54,715	2529.7	− 2552	−22.3	× 28 / 161	−3.9
7	54,716	2551.3	− 2567	−15.7	× 23 / 161	−2.2
8	54,719	2575.6	− 2586	−10.4	× 20 / 161	−1.3
Sum, rounded to a whole point						−3

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	50,815	2423.3	− 2436	−12.7	× 37 / 172	−2.7
4	50,818	2492.7	− 2485	7.7	× 34 / 172	1.5
5	50,820	2495.1	− 2528	−32.9	× 28 / 172	−5.4
6	50,822	2532.2	− 2552	−19.8	× 29 / 172	−3.3
7	50,823	2572.6	− 2567	5.6	× 24 / 172	0.8
8	50,826	2593.1	− 2586	7.1	× 20 / 172	0.8
Sum, rounded to a whole point						−8

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	52,268	2423.1	− 2436	−12.9	× 27 / 160	−2.2
4	52,269	2489.3	− 2485	4.3	× 35 / 160	0.9
5	52,271	2549.6	− 2528	21.6	× 29 / 160	3.9
6	52,273	2534.8	− 2552	−17.2	× 25 / 160	−2.7
7	52,275	2610.2	− 2567	43.2	× 22 / 160	5.9
8	52,277	2609.4	− 2586	23.4	× 22 / 160	3.2
Sum, rounded to a whole point						9

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	52,328	2417.2	− 2436	−18.8	× 34 / 160	−4
4	52,329	2494.7	− 2485	9.7	× 26 / 160	1.6
5	52,332	2539.5	− 2528	11.5	× 33 / 160	2.4
6	52,333	2579.3	− 2552	27.3	× 27 / 160	4.6
7	52,336	2590.8	− 2567	23.8	× 19 / 160	2.8
8	52,337	2624.4	− 2586	38.4	× 21 / 160	5
Sum, rounded to a whole point						12

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	52,493	2453.0	− 2436	17	× 25 / 162	2.6
4	52,494	2488.5	− 2485	3.5	× 33 / 162	0.7
5	52,495	2524.8	− 2528	−3.2	× 28 / 162	−0.6
6	52,496	2543.1	− 2552	−8.9	× 31 / 162	−1.7
7	52,497	2604.9	− 2567	37.9	× 26 / 162	6.1
8	52,498	2611.2	− 2586	25.2	× 19 / 162	3
Sum, rounded to a whole point						10

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	52,485	2471.5	− 2436	35.5	× 28 / 147	6.8
4	52,486	2481.3	− 2485	−3.7	× 25 / 147	−0.6
5	52,487	2512.3	− 2528	−15.7	× 26 / 147	−2.8
6	52,488	2568.2	− 2552	16.2	× 18 / 147	2
7	52,489	2554.5	− 2567	−12.5	× 24 / 147	−2
8	52,490	2572.8	− 2586	−13.2	× 26 / 147	−2.3
Sum, rounded to a whole point						1

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	52,456	2448.7	− 2436	12.7	× 29 / 167	2.2
4	52,457	2505.3	− 2485	20.3	× 34 / 167	4.1
5	52,458	2501.3	− 2528	−26.7	× 33 / 167	−5.3
6	52,459	2505.9	− 2552	−46.1	× 25 / 167	−6.9
7	52,460	2565.6	− 2567	−1.4	× 21 / 167	−0.2
8	52,461	2540.4	− 2586	−45.6	× 25 / 167	−6.8
Sum, rounded to a whole point						−13

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	52,286	2471.8	− 2436	35.8	× 33 / 173	6.8
4	52,287	2511.9	− 2485	26.9	× 30 / 173	4.7
5	52,288	2522.4	− 2528	−5.6	× 33 / 173	−1.1
6	52,289	2517.1	− 2552	−34.9	× 29 / 173	−5.9
7	52,290	2550.8	− 2567	−16.2	× 24 / 173	−2.2
8	52,291	2564.5	− 2586	−21.5	× 24 / 173	−3
Sum, rounded to a whole point						−1

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	52,054	2468.7	− 2436	32.7	× 32 / 181	5.8
4	52,055	2496.0	− 2485	11	× 35 / 181	2.1
5	52,056	2531.9	− 2528	3.9	× 31 / 181	0.7
6	52,057	2534.6	− 2552	−17.4	× 31 / 181	−3
7	52,058	2537.9	− 2567	−29.1	× 27 / 181	−4.3
8	52,059	2589.2	− 2586	3.2	× 25 / 181	0.4
Sum, rounded to a whole point						2

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −3, −8, 9, 12, 10, 1, −13, −1, 2 → 1
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 5 · 2016→2017: 17 · 2017→2018: 3 · 2018→2019: 2 · 2019→2022: 9 · 2022→2023: 14 · 2023→2024: 12 · 2024→2025: 3 → average 8.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8.1 × 2.66 = 21.5. Upper limit 22.5, lower limit −20.5.

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.