Butte Valley 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.

Many students here are still learning English. The math test is written in English, with some translation help, and many of its questions are word problems. In 2026, 33 of the 119 students who took the math test were English learners.

3rd The average 3rd grader scores 76 points under the grade 3 bar. 2360 vs. 2436.
4th The average 4th grader scores 74 points under the grade 3 bar. 2362 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 17 points under the grade 3 bar. 2419 vs. 2436. The 5th-grade bar is 2528.
6th The average 6th grader scores just under the grade 3 bar. 2429 vs. 2436. The 6th-grade bar is 2552.
7th The average 7th grader scores 45 points under the grade 4 bar. 2440 vs. 2485. The 7th-grade bar is 2567.
8th The average 8th grader scores 26 points under the grade 3 bar. 2411 vs. 2436. The 8th-grade bar is 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
7	92,632	2512.9	− 2567	−54.1	× 25 / 43	−31.5
8	92,633	2510.2	− 2586	−75.8	× 18 / 43	−31.7
Sum, rounded to a whole point						−63

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	86,072	2396.0	− 2436	−40	× 23 / 113	−8.1
4	86,074	2462.1	− 2485	−22.9	× 24 / 113	−4.9
6	86,078	2548.9	− 2552	−3.1	× 18 / 113	−0.5
7	86,080	2525.0	− 2567	−42	× 24 / 113	−8.9
8	86,083	2531.3	− 2586	−54.7	× 24 / 113	−11.6
Sum, rounded to a whole point						−34

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	88,430	2394.8	− 2436	−41.2	× 34 / 126	−11.1
4	88,432	2449.4	− 2485	−35.6	× 18 / 126	−5.1
5	88,434	2508.5	− 2528	−19.5	× 24 / 126	−3.7
7	88,438	2507.6	− 2567	−59.4	× 22 / 126	−10.4
8	88,439	2512.0	− 2586	−74	× 28 / 126	−16.4
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	88,658	2422.7	− 2436	−13.3	× 23 / 131	−2.3
4	88,661	2438.8	− 2485	−46.2	× 32 / 131	−11.3
5	88,662	2503.9	− 2528	−24.1	× 20 / 131	−3.7
6	88,665	2503.8	− 2552	−48.2	× 24 / 131	−8.8
7	88,666	2464.1	− 2567	−102.9	× 11 / 131	−8.6
8	88,669	2487.4	− 2586	−98.6	× 21 / 131	−15.8
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	89,288	2405.5	− 2436	−30.5	× 25 / 124	−6.1
4	89,289	2472.4	− 2485	−12.6	× 21 / 124	−2.1
5	89,290	2497.7	− 2528	−30.3	× 25 / 124	−6.1
6	89,291	2469.7	− 2552	−82.3	× 20 / 124	−13.3
7	89,292	2532.1	− 2567	−34.9	× 22 / 124	−6.2
8	89,293	2452.0	− 2586	−134	× 11 / 124	−11.9
Sum, rounded to a whole point						−46

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	87,472	2347.9	− 2436	−88.1	× 21 / 102	−18.1
4	87,473	2383.2	− 2485	−101.8	× 18 / 102	−18
5	87,474	2444.8	− 2528	−83.2	× 21 / 102	−17.1
6	87,475	2406.9	− 2552	−145.1	× 14 / 102	−19.9
7	87,476	2409.9	− 2567	−157.1	× 15 / 102	−23.1
8	87,477	2452.2	− 2586	−133.8	× 13 / 102	−17.1
Sum, rounded to a whole point						−113

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,540	2308.3	− 2436	−127.7	× 22 / 131	−21.4
4	89,541	2377.5	− 2485	−107.5	× 24 / 131	−19.7
5	89,542	2385.6	− 2528	−142.4	× 20 / 131	−21.7
6	89,543	2462.4	− 2552	−89.6	× 25 / 131	−17.1
7	89,544	2406.9	− 2567	−160.1	× 18 / 131	−22
8	89,545	2382.0	− 2586	−204	× 22 / 131	−34.3
Sum, rounded to a whole point						−136

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,432	2352.1	− 2436	−83.9	× 31 / 144	−18.1
4	89,433	2371.2	− 2485	−113.8	× 23 / 144	−18.2
5	89,434	2385.0	− 2528	−143	× 25 / 144	−24.8
6	89,435	2374.8	− 2552	−177.2	× 25 / 144	−30.8
7	89,436	2447.3	− 2567	−119.7	× 24 / 144	−20
8	89,437	2453.9	− 2586	−132.1	× 16 / 144	−14.7
Sum, rounded to a whole point						−126

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,399	2431.1	− 2436	−4.9	× 18 / 142	−0.6
4	89,400	2366.9	− 2485	−118.1	× 30 / 142	−25
5	89,401	2425.3	− 2528	−102.7	× 23 / 142	−16.6
6	89,402	2446.7	− 2552	−105.3	× 23 / 142	−17.1
7	89,403	2404.0	− 2567	−163	× 22 / 142	−25.3
8	89,404	2447.0	− 2586	−139	× 26 / 142	−25.5
Sum, rounded to a whole point						−110

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,105	2359.1	− 2436	−76.9	× 20 / 127	−12.1
4	89,106	2401.2	− 2485	−83.8	× 19 / 127	−12.5
5	89,107	2392.0	− 2528	−136	× 24 / 127	−25.7
6	89,108	2402.0	− 2552	−150	× 23 / 127	−27.2
7	89,109	2456.2	− 2567	−110.8	× 21 / 127	−18.3
8	89,110	2391.5	− 2586	−194.5	× 20 / 127	−30.6
Sum, rounded to a whole point						−126

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	88,796	2360.0	− 2436	−76	× 21 / 119	−13.4
4	88,797	2362.1	− 2485	−122.9	× 20 / 119	−20.7
5	88,798	2419.2	− 2528	−108.8	× 14 / 119	−12.8
6	88,799	2428.8	− 2552	−123.2	× 24 / 119	−24.8
7	88,800	2440.4	− 2567	−126.6	× 22 / 119	−23.4
8	88,801	2410.5	− 2586	−175.5	× 18 / 119	−26.5
Sum, rounded to a whole point						−122

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −63, −34, −47, −51, −46, −113, −136, −126, −110, −126, −122 → −88.5
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 29 · 2016→2017: 13 · 2017→2018: 4 · 2018→2019: 5 · 2019→2021: 67 · 2021→2022: 23 · 2022→2023: 10 · 2023→2024: 16 · 2024→2025: 16 · 2025→2026: 4 → average 18.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 18.7 × 2.66 = 49.7. Upper limit −38.8, lower limit −138.2.

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.