Bella Mente Montessori 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	76,453	2417.0	− 2436	−19	× 62 / 254	−4.6
4	76,454	2444.7	− 2485	−40.3	× 48 / 254	−7.6
5	76,457	2473.3	− 2528	−54.7	× 38 / 254	−8.2
6	76,458	2484.5	− 2552	−67.5	× 56 / 254	−14.9
7	76,461	2460.7	− 2567	−106.3	× 37 / 254	−15.5
8	76,462	2459.2	− 2586	−126.8	× 13 / 254	−6.5
Sum, rounded to a whole point						−57

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	70,856	2425.4	− 2436	−10.6	× 64 / 316	−2.1
4	70,858	2431.4	− 2485	−53.6	× 67 / 316	−11.4
5	70,860	2481.0	− 2528	−47	× 53 / 316	−7.9
6	70,863	2470.7	− 2552	−81.3	× 60 / 316	−15.4
7	70,864	2494.0	− 2567	−73	× 47 / 316	−10.9
8	70,867	2476.8	− 2586	−109.2	× 25 / 316	−8.6
Sum, rounded to a whole point						−56

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	72,704	2427.5	− 2436	−8.5	× 78 / 342	−1.9
4	72,705	2447.3	− 2485	−37.7	× 65 / 342	−7.2
5	72,708	2463.1	− 2528	−64.9	× 64 / 342	−12.1
6	72,710	2484.0	− 2552	−68	× 50 / 342	−9.9
7	72,711	2502.9	− 2567	−64.1	× 46 / 342	−8.6
8	72,714	2518.4	− 2586	−67.6	× 39 / 342	−7.7
Sum, rounded to a whole point						−48

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	72,832	2419.6	− 2436	−16.4	× 75 / 327	−3.8
4	72,834	2441.7	− 2485	−43.3	× 61 / 327	−8.1
5	72,836	2467.6	− 2528	−60.4	× 62 / 327	−11.5
6	72,838	2501.4	− 2552	−50.6	× 56 / 327	−8.7
7	72,840	2476.5	− 2567	−90.5	× 32 / 327	−8.9
8	72,842	2503.4	− 2586	−82.6	× 41 / 327	−10.4
Sum, rounded to a whole point						−51

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	73,311	2427.1	− 2436	−8.9	× 76 / 339	−2
4	73,312	2446.9	− 2485	−38.1	× 66 / 339	−7.4
5	73,313	2485.8	− 2528	−42.2	× 61 / 339	−7.6
6	73,314	2486.9	− 2552	−65.1	× 53 / 339	−10.2
7	73,315	2503.6	− 2567	−63.4	× 47 / 339	−8.8
8	73,316	2466.3	− 2586	−119.7	× 36 / 339	−12.7
Sum, rounded to a whole point						−49

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	73,425	2400.9	− 2436	−35.1	× 44 / 225	−6.9
4	73,426	2413.0	− 2485	−72	× 46 / 225	−14.7
5	73,427	2481.7	− 2528	−46.3	× 32 / 225	−6.6
6	73,428	2465.1	− 2552	−86.9	× 39 / 225	−15.1
7	73,429	2474.4	− 2567	−92.6	× 34 / 225	−14
8	73,430	2501.1	− 2586	−84.9	× 30 / 225	−11.3
Sum, rounded to a whole point						−69

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	73,413	2379.0	− 2436	−57	× 48 / 239	−11.4
4	73,414	2447.6	− 2485	−37.4	× 44 / 239	−6.9
5	73,415	2447.1	− 2528	−80.9	× 48 / 239	−16.2
6	73,416	2514.6	− 2552	−37.4	× 38 / 239	−5.9
7	73,417	2495.9	− 2567	−71.1	× 35 / 239	−10.4
8	73,418	2467.5	− 2586	−118.5	× 26 / 239	−12.9
Sum, rounded to a whole point						−64

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	73,405	2418.9	− 2436	−17.1	× 39 / 231	−2.9
4	73,406	2435.3	− 2485	−49.7	× 41 / 231	−8.8
5	73,407	2462.9	− 2528	−65.1	× 40 / 231	−11.3
6	73,408	2467.5	− 2552	−84.5	× 48 / 231	−17.6
7	73,409	2476.4	− 2567	−90.6	× 35 / 231	−13.7
8	73,410	2473.1	− 2586	−112.9	× 28 / 231	−13.7
Sum, rounded to a whole point						−68

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	73,101	2460.3	− 2436	24.3	× 45 / 221	4.9
4	73,102	2456.4	− 2485	−28.6	× 26 / 221	−3.4
5	73,103	2477.1	− 2528	−50.9	× 41 / 221	−9.4
6	73,104	2519.8	− 2552	−32.2	× 34 / 221	−5
7	73,105	2486.4	− 2567	−80.6	× 39 / 221	−14.2
8	73,106	2513.5	− 2586	−72.5	× 36 / 221	−11.8
Sum, rounded to a whole point						−39

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −57, −56, −48, −51, −49, −69, −64, −68, −39 → −55.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 1 · 2016→2017: 8 · 2017→2018: 3 · 2018→2019: 2 · 2019→2022: 20 · 2022→2023: 5 · 2023→2024: 4 · 2024→2025: 29 → average 9
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9 × 2.66 = 23.9. Upper limit −31.8, lower limit −79.6.

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.