Trinity Alps Unified: math

The shaded band is this district'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	99,979	2411.5	− 2436	−24.5	× 42 / 290	−3.5
4	99,980	2448.6	− 2485	−36.4	× 49 / 290	−6.2
5	99,983	2466.7	− 2528	−61.3	× 32 / 290	−6.8
6	99,984	2508.1	− 2552	−43.9	× 37 / 290	−5.6
7	99,987	2567.6	− 2567	0.6	× 33 / 290	0.1
8	99,988	2570.0	− 2586	−16	× 44 / 290	−2.4
11	99,991	2560.5	− 2628	−67.5	× 53 / 290	−12.3
Sum, rounded to a whole point						−37

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,707	2438.3	− 2436	2.3	× 36 / 331	0.3
4	92,708	2429.4	− 2485	−55.6	× 43 / 331	−7.2
5	92,710	2470.0	− 2528	−58	× 49 / 331	−8.6
6	92,712	2523.7	− 2552	−28.3	× 36 / 331	−3.1
7	92,715	2543.1	− 2567	−23.9	× 47 / 331	−3.4
8	92,716	2600.4	− 2586	14.4	× 44 / 331	1.9
11	92,718	2546.5	− 2628	−81.5	× 76 / 331	−18.7
Sum, rounded to a whole point						−39

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,473	2429.8	− 2436	−6.2	× 32 / 343	−0.6
4	95,475	2474.1	− 2485	−10.9	× 36 / 343	−1.1
5	95,476	2447.7	− 2528	−80.3	× 42 / 343	−9.8
6	95,478	2492.6	− 2552	−59.4	× 53 / 343	−9.2
7	95,480	2544.6	− 2567	−22.4	× 45 / 343	−2.9
8	95,482	2575.6	− 2586	−10.4	× 42 / 343	−1.3
11	95,484	2547.9	− 2628	−80.1	× 93 / 343	−21.7
Sum, rounded to a whole point						−47

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,646	2373.1	− 2436	−62.9	× 34 / 351	−6.1
4	95,649	2442.9	− 2485	−42.1	× 30 / 351	−3.6
5	95,650	2526.5	− 2528	−1.5	× 40 / 351	−0.2
6	95,653	2475.7	− 2552	−76.3	× 50 / 351	−10.9
7	95,654	2537.5	− 2567	−29.5	× 56 / 351	−4.7
8	95,657	2523.0	− 2586	−63	× 52 / 351	−9.3
11	95,658	2558.7	− 2628	−69.3	× 89 / 351	−17.6
Sum, rounded to a whole point						−52

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,331	2414.1	− 2436	−21.9	× 37 / 289	−2.8
4	96,332	2425.1	− 2485	−59.9	× 31 / 289	−6.4
5	96,333	2501.6	− 2528	−26.4	× 25 / 289	−2.3
6	96,334	2512.2	− 2552	−39.8	× 41 / 289	−5.6
7	96,335	2538.7	− 2567	−28.3	× 49 / 289	−4.8
8	96,336	2561.5	− 2586	−24.5	× 53 / 289	−4.5
11	96,337	2605.1	− 2628	−22.9	× 53 / 289	−4.2
Sum, rounded to a whole point						−31

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,236	2379.2	− 2436	−56.8	× 38 / 235	−9.2
4	94,237	2368.7	− 2485	−116.3	× 32 / 235	−15.8
5	94,238	2525.3	− 2528	−2.7	× 27 / 235	−0.3
6	94,239	2499.3	− 2552	−52.7	× 28 / 235	−6.3
7	94,240	2550.2	− 2567	−16.8	× 25 / 235	−1.8
8	94,241	2555.5	− 2586	−30.5	× 37 / 235	−4.8
11	94,242	2548.0	− 2628	−80	× 48 / 235	−16.3
Sum, rounded to a whole point						−55

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,505	2443.1	− 2436	7.1	× 36 / 278	0.9
4	96,506	2433.6	− 2485	−51.4	× 37 / 278	−6.8
5	96,507	2504.3	− 2528	−23.7	× 29 / 278	−2.5
6	96,508	2527.8	− 2552	−24.2	× 32 / 278	−2.8
7	96,509	2545.6	− 2567	−21.4	× 31 / 278	−2.4
8	96,510	2578.3	− 2586	−7.7	× 34 / 278	−0.9
11	96,511	2555.2	− 2628	−72.8	× 79 / 278	−20.7
Sum, rounded to a whole point						−35

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,344	2402.9	− 2436	−33.1	× 32 / 259	−4.1
4	96,345	2465.9	− 2485	−19.1	× 36 / 259	−2.7
5	96,346	2478.8	− 2528	−49.2	× 36 / 259	−6.8
6	96,347	2463.2	− 2552	−88.8	× 31 / 259	−10.6
7	96,348	2541.4	− 2567	−25.6	× 36 / 259	−3.6
8	96,349	2536.7	− 2586	−49.3	× 34 / 259	−6.5
11	96,350	2527.0	− 2628	−101	× 54 / 259	−21.1
Sum, rounded to a whole point						−55

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,220	2463.8	− 2436	27.8	× 22 / 267	2.3
4	96,221	2481.9	− 2485	−3.1	× 31 / 267	−0.4
5	96,222	2494.1	− 2528	−33.9	× 42 / 267	−5.3
6	96,223	2501.7	− 2552	−50.3	× 43 / 267	−8.1
7	96,224	2464.2	− 2567	−102.8	× 26 / 267	−10
8	96,225	2540.9	− 2586	−45.1	× 38 / 267	−6.4
11	96,226	2479.8	− 2628	−148.2	× 65 / 267	−36.1
Sum, rounded to a whole point						−64

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,966	2433.4	− 2436	−2.6	× 31 / 240	−0.3
4	95,967	2528.6	− 2485	43.6	× 24 / 240	4.4
5	95,968	2527.9	− 2528	−0.1	× 28 / 240	0
6	95,969	2475.7	− 2552	−76.3	× 37 / 240	−11.8
7	95,970	2486.4	− 2567	−80.6	× 41 / 240	−13.8
8	95,971	2506.9	− 2586	−79.1	× 24 / 240	−7.9
11	95,972	2541.8	− 2628	−86.2	× 55 / 240	−19.8
Sum, rounded to a whole point						−49

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,578	2396.1	− 2436	−39.9	× 33 / 227	−5.8
4	95,579	2486.2	− 2485	1.2	× 28 / 227	0.1
5	95,580	2542.6	− 2528	14.6	× 20 / 227	1.3
6	95,581	2477.4	− 2552	−74.6	× 29 / 227	−9.5
7	95,582	2515.5	− 2567	−51.5	× 33 / 227	−7.5
8	95,583	2508.6	− 2586	−77.4	× 37 / 227	−12.6
11	95,584	2518.7	− 2628	−109.3	× 47 / 227	−22.6
Sum, rounded to a whole point						−57

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −37, −39, −47, −52, −31, −55, −35, −55, −64, −49, −57 → −47.4
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 2 · 2016→2017: 8 · 2017→2018: 5 · 2018→2019: 21 · 2019→2021: 24 · 2021→2022: 20 · 2022→2023: 20 · 2023→2024: 9 · 2024→2025: 15 · 2025→2026: 8 → average 13.2
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 13.2 × 2.66 = 35.1. Upper limit −12.3, lower limit −82.5.

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 — for a district, the total across its schools. From 2014–15, 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.

Trinity Alps Unified