Ivy Academia: 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	26,636	2387.5	− 2436	−48.5	× 60 / 519	−5.6
4	26,638	2441.5	− 2485	−43.5	× 80 / 519	−6.7
5	26,640	2500.3	− 2528	−27.7	× 77 / 519	−4.1
6	26,642	2493.9	− 2552	−58.1	× 87 / 519	−9.7
7	26,644	2534.4	− 2567	−32.6	× 84 / 519	−5.3
8	26,646	2524.5	− 2586	−61.5	× 83 / 519	−9.8
11	26,648	2549.6	− 2628	−78.4	× 48 / 519	−7.3
Sum, rounded to a whole point						−49

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	24,756	2392.9	− 2436	−43.1	× 44 / 450	−4.2
4	24,757	2437.5	− 2485	−47.5	× 54 / 450	−5.7
5	24,760	2481.3	− 2528	−46.7	× 70 / 450	−7.3
6	24,761	2528.1	− 2552	−23.9	× 63 / 450	−3.3
7	24,764	2508.9	− 2567	−58.1	× 85 / 450	−11
8	24,765	2526.7	− 2586	−59.3	× 87 / 450	−11.5
11	24,768	2519.6	− 2628	−108.4	× 47 / 450	−11.3
Sum, rounded to a whole point						−54

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	25,253	2436.8	− 2436	0.8	× 48 / 431	0.1
4	25,255	2445.1	− 2485	−39.9	× 50 / 431	−4.6
5	25,257	2469.1	− 2528	−58.9	× 62 / 431	−8.5
6	25,259	2511.1	− 2552	−40.9	× 75 / 431	−7.1
7	25,260	2546.3	− 2567	−20.7	× 56 / 431	−2.7
8	25,262	2508.4	− 2586	−77.6	× 96 / 431	−17.3
11	25,264	2490.7	− 2628	−137.3	× 44 / 431	−14
Sum, rounded to a whole point						−54

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	25,279	2422.7	− 2436	−13.3	× 60 / 376	−2.1
4	25,281	2470.3	− 2485	−14.7	× 48 / 376	−1.9
5	25,283	2444.7	− 2528	−83.3	× 47 / 376	−10.4
6	25,285	2500.0	− 2552	−52	× 64 / 376	−8.9
7	25,287	2517.6	− 2567	−49.4	× 57 / 376	−7.5
8	25,289	2534.0	− 2586	−52	× 58 / 376	−8
11	25,291	2559.2	− 2628	−68.8	× 42 / 376	−7.7
Sum, rounded to a whole point						−46

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	25,445	2383.9	− 2436	−52.1	× 40 / 368	−5.7
4	25,446	2447.5	− 2485	−37.5	× 58 / 368	−5.9
5	25,447	2480.2	− 2528	−47.8	× 52 / 368	−6.8
6	25,448	2470.8	− 2552	−81.2	× 56 / 368	−12.4
7	25,449	2517.7	− 2567	−49.3	× 72 / 368	−9.6
8	25,450	2509.3	− 2586	−76.7	× 64 / 368	−13.3
11	25,451	2558.2	− 2628	−69.8	× 26 / 368	−4.9
Sum, rounded to a whole point						−59

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	24,716	2577.6	− 2628	−50.4	× 20 / 20	−50.4
Sum, rounded to a whole point						−50

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	25,392	2364.4	− 2436	−71.6	× 41 / 368	−8
4	25,393	2429.7	− 2485	−55.3	× 35 / 368	−5.3
5	25,394	2445.2	− 2528	−82.8	× 62 / 368	−14
6	25,395	2442.9	− 2552	−109.1	× 51 / 368	−15.1
7	25,396	2495.9	− 2567	−71.1	× 80 / 368	−15.5
8	25,397	2476.4	− 2586	−109.6	× 74 / 368	−22
11	25,398	2519.7	− 2628	−108.3	× 25 / 368	−7.4
Sum, rounded to a whole point						−87

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	25,345	2379.9	− 2436	−56.1	× 52 / 333	−8.8
4	25,346	2432.4	− 2485	−52.6	× 37 / 333	−5.8
5	25,347	2431.6	− 2528	−96.4	× 37 / 333	−10.7
6	25,348	2466.9	− 2552	−85.1	× 62 / 333	−15.8
7	25,349	2455.3	− 2567	−111.7	× 55 / 333	−18.4
8	25,350	2496.1	− 2586	−89.9	× 72 / 333	−19.4
11	25,351	2524.9	− 2628	−103.1	× 18 / 333	−5.6
Sum, rounded to a whole point						−85

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	25,198	2356.7	− 2436	−79.3	× 39 / 281	−11
4	25,199	2412.9	− 2485	−72.1	× 42 / 281	−10.8
5	25,200	2432.8	− 2528	−95.2	× 47 / 281	−15.9
6	25,201	2445.4	− 2552	−106.6	× 47 / 281	−17.8
7	25,202	2484.8	− 2567	−82.2	× 54 / 281	−15.8
8	25,203	2456.4	− 2586	−129.6	× 52 / 281	−24
Sum, rounded to a whole point						−95

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	25,087	2369.4	− 2436	−66.6	× 36 / 269	−8.9
4	25,088	2405.9	− 2485	−79.1	× 36 / 269	−10.6
5	25,089	2470.0	− 2528	−58	× 36 / 269	−7.8
6	25,090	2486.6	− 2552	−65.4	× 53 / 269	−12.9
7	25,091	2474.8	− 2567	−92.2	× 54 / 269	−18.5
8	25,092	2537.6	− 2586	−48.4	× 54 / 269	−9.7
Sum, rounded to a whole point						−68

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −49, −54, −54, −46, −59, −50, −87, −85, −95, −68 → −64.7
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: 0 · 2017→2018: 8 · 2018→2019: 13 · 2019→2021: 9 · 2021→2022: 37 · 2022→2023: 2 · 2023→2024: 10 · 2024→2025: 27 → average 12.3
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 12.3 × 2.66 = 32.7. Upper limit −32, lower limit −97.4.

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.