Springville Elementary: 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 8.

3rd The average 3rd grader scores 27 points under the grade 3 bar. 2409 vs. 2436.
4th The average 4th grader scores 46 points under the grade 4 bar. 2439 vs. 2485.
5th The average 5th grader scores 26 points under the grade 5 bar. 2502 vs. 2528.
6th The average 6th grader scores just under the grade 4 bar. 2478 vs. 2485. The 6th-grade bar is 2552.
7th The average 7th grader scores just under the grade 5 bar. 2524 vs. 2528. The 7th-grade bar is 2567.
8th The average 8th grader scores just under the grade 8 bar. 2578 vs. 2586.

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	101,071	2414.6	− 2436	−21.4	× 26 / 175	−3.2
4	101,074	2473.1	− 2485	−11.9	× 46 / 175	−3.1
5	101,075	2490.9	− 2528	−37.1	× 22 / 175	−4.7
6	101,078	2483.6	− 2552	−68.4	× 33 / 175	−12.9
7	101,079	2526.0	− 2567	−41	× 30 / 175	−7
8	101,082	2546.9	− 2586	−39.1	× 18 / 175	−4
Sum, rounded to a whole point						−35

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	93,779	2409.8	− 2436	−26.2	× 38 / 196	−5.1
4	93,781	2459.0	− 2485	−26	× 26 / 196	−3.4
5	93,782	2492.2	− 2528	−35.8	× 44 / 196	−8
6	93,785	2484.5	− 2552	−67.5	× 25 / 196	−8.6
7	93,786	2529.8	− 2567	−37.2	× 32 / 196	−6.1
8	93,788	2564.3	− 2586	−21.7	× 31 / 196	−3.4
Sum, rounded to a whole point						−35

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,545	2411.8	− 2436	−24.2	× 30 / 214	−3.4
4	96,547	2464.0	− 2485	−21	× 45 / 214	−4.4
5	96,549	2488.3	− 2528	−39.7	× 28 / 214	−5.2
6	96,550	2507.7	− 2552	−44.3	× 47 / 214	−9.7
7	96,553	2494.2	− 2567	−72.8	× 29 / 214	−9.9
8	96,555	2514.4	− 2586	−71.6	× 35 / 214	−11.7
Sum, rounded to a whole point						−44

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,729	2428.4	− 2436	−7.6	× 27 / 204	−1
4	96,732	2454.2	− 2485	−30.8	× 30 / 204	−4.5
5	96,733	2486.2	− 2528	−41.8	× 46 / 204	−9.4
6	96,736	2537.9	− 2552	−14.1	× 28 / 204	−1.9
7	96,737	2542.0	− 2567	−25	× 42 / 204	−5.1
8	96,740	2553.8	− 2586	−32.2	× 31 / 204	−4.9
Sum, rounded to a whole point						−27

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,406	2455.6	− 2436	19.6	× 43 / 202	4.2
4	97,407	2464.1	− 2485	−20.9	× 27 / 202	−2.8
5	97,408	2493.5	− 2528	−34.5	× 28 / 202	−4.8
6	97,409	2516.2	− 2552	−35.8	× 42 / 202	−7.4
7	97,410	2554.6	− 2567	−12.4	× 26 / 202	−1.6
8	97,411	2554.7	− 2586	−31.3	× 36 / 202	−5.6
Sum, rounded to a whole point						−18

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,279	2417.4	− 2436	−18.6	× 27 / 177	−2.8
4	95,280	2439.2	− 2485	−45.8	× 36 / 177	−9.3
5	95,281	2477.7	− 2528	−50.3	× 33 / 177	−9.4
6	95,282	2486.1	− 2552	−65.9	× 23 / 177	−8.6
7	95,283	2539.8	− 2567	−27.2	× 26 / 177	−4
8	95,284	2550.5	− 2586	−35.5	× 32 / 177	−6.4
Sum, rounded to a whole point						−41

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,582	2416.7	− 2436	−19.3	× 33 / 212	−3
4	97,583	2450.8	− 2485	−34.2	× 37 / 212	−6
5	97,584	2508.4	− 2528	−19.6	× 43 / 212	−4
6	97,585	2536.1	− 2552	−15.9	× 37 / 212	−2.8
7	97,586	2519.3	− 2567	−47.7	× 28 / 212	−6.3
8	97,587	2550.4	− 2586	−35.6	× 34 / 212	−5.7
Sum, rounded to a whole point						−28

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,429	2405.1	− 2436	−30.9	× 29 / 212	−4.2
4	97,430	2435.6	− 2485	−49.4	× 36 / 212	−8.4
5	97,431	2483.3	− 2528	−44.7	× 37 / 212	−7.8
6	97,432	2529.4	− 2552	−22.6	× 43 / 212	−4.6
7	97,433	2562.9	− 2567	−4.1	× 39 / 212	−0.8
8	97,434	2531.9	− 2586	−54.1	× 28 / 212	−7.1
Sum, rounded to a whole point						−33

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,322	2436.9	− 2436	0.9	× 38 / 220	0.2
4	97,323	2425.2	− 2485	−59.8	× 30 / 220	−8.2
5	97,324	2462.1	− 2528	−65.9	× 40 / 220	−12
6	97,325	2507.9	− 2552	−44.1	× 37 / 220	−7.4
7	97,326	2528.1	− 2567	−38.9	× 40 / 220	−7.1
8	97,327	2575.7	− 2586	−10.3	× 35 / 220	−1.6
Sum, rounded to a whole point						−36

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,041	2422.7	− 2436	−13.3	× 43 / 225	−2.5
4	97,042	2450.7	− 2485	−34.3	× 37 / 225	−5.6
5	97,043	2464.6	− 2528	−63.4	× 29 / 225	−8.2
6	97,044	2504.6	− 2552	−47.4	× 39 / 225	−8.2
7	97,045	2524.9	− 2567	−42.1	× 36 / 225	−6.7
8	97,046	2538.2	− 2586	−47.8	× 41 / 225	−8.7
Sum, rounded to a whole point						−40

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,671	2408.8	− 2436	−27.2	× 21 / 209	−2.7
4	96,672	2438.7	− 2485	−46.3	× 40 / 209	−8.9
5	96,673	2502.2	− 2528	−25.8	× 40 / 209	−4.9
6	96,674	2477.7	− 2552	−74.3	× 33 / 209	−11.7
7	96,675	2523.7	− 2567	−43.3	× 40 / 209	−8.3
8	96,676	2577.9	− 2586	−8.1	× 35 / 209	−1.4
Sum, rounded to a whole point						−38

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −35, −35, −44, −27, −18, −41, −28, −33, −36, −40, −38 → −34.1
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 0 · 2016→2017: 9 · 2017→2018: 17 · 2018→2019: 9 · 2019→2021: 23 · 2021→2022: 13 · 2022→2023: 5 · 2023→2024: 3 · 2024→2025: 4 · 2025→2026: 2 → average 8.5
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8.5 × 2.66 = 22.6. Upper limit −11.5, lower limit −56.7.

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.