Buttonwillow 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, 78 of the 170 students who took the math test were English learners.

All students

3rd The average 3rd grader scores 67 points under the grade 3 bar. 2370 vs. 2436.
4th The average 4th grader scores 28 points under the grade 4 bar. 2457 vs. 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 43 points under the grade 4 bar. 2443 vs. 2485. The 6th-grade bar is 2552.
7th The average 7th grader scores 39 points under the grade 5 bar. 2489 vs. 2528. The 7th-grade bar is 2567.
8th The average 8th grader scores 26 points under the grade 5 bar. 2502 vs. 2528. The 8th-grade bar is 2586.

Students fluent in English

Math with English out of the way. Includes students who have only ever spoken English.

Grade bars 4th 18 students Meets the grade 4 bar. 5th 16 students 34 points under the grade 4 bar. 7th 19 students Just under the grade 5 bar. 8th 14 students 14 points under the grade 6 bar.

English learners

Students leave this group as they become fluent, so its average stays low even where they learn well.

Grade bars 4th 16 students 13 points under the grade 3 bar. 5th 11 students 64 points under the grade 3 bar. 7th 13 students 44 points under the grade 4 bar. 8th 15 students 16 points under the grade 4 bar.

the group's average that grade's own bar the distance between

2026 results. "Meets standard" is the state's mark for being on track for that grade. The state leaves out any group of ten students or fewer, so a grade may be missing from the charts.

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	16,548	2366.0	− 2436	−70	× 42 / 227	−13
4	16,549	2397.4	− 2485	−87.6	× 39 / 227	−15.1
5	16,552	2409.8	− 2528	−118.2	× 41 / 227	−21.3
6	16,553	2441.6	− 2552	−110.4	× 39 / 227	−19
7	16,556	2455.9	− 2567	−111.1	× 31 / 227	−15.2
8	16,557	2477.6	− 2586	−108.4	× 35 / 227	−16.7
Sum, rounded to a whole point						−100

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	15,568	2384.3	− 2436	−51.7	× 44 / 243	−9.4
4	15,571	2389.9	− 2485	−95.1	× 42 / 243	−16.4
5	15,573	2411.8	− 2528	−116.2	× 42 / 243	−20.1
6	15,575	2449.1	− 2552	−102.9	× 40 / 243	−16.9
7	15,577	2467.8	− 2567	−99.2	× 41 / 243	−16.7
8	15,578	2449.3	− 2586	−136.7	× 34 / 243	−19.1
Sum, rounded to a whole point						−99

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	15,889	2402.2	− 2436	−33.8	× 39 / 240	−5.5
4	15,891	2417.3	− 2485	−67.7	× 39 / 240	−11
5	15,893	2440.9	− 2528	−87.1	× 45 / 240	−16.3
6	15,896	2457.1	− 2552	−94.9	× 41 / 240	−16.2
7	15,897	2466.7	− 2567	−100.3	× 37 / 240	−15.5
8	15,899	2461.9	− 2586	−124.1	× 39 / 240	−20.2
Sum, rounded to a whole point						−85

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	15,907	2368.8	− 2436	−67.2	× 30 / 230	−8.8
4	15,908	2400.5	− 2485	−84.5	× 41 / 230	−15.1
5	15,911	2435.4	− 2528	−92.6	× 37 / 230	−14.9
6	15,912	2480.9	− 2552	−71.1	× 45 / 230	−13.9
7	15,915	2488.8	− 2567	−78.2	× 38 / 230	−12.9
8	15,916	2492.5	− 2586	−93.5	× 39 / 230	−15.9
Sum, rounded to a whole point						−81

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	16,039	2413.1	− 2436	−22.9	× 39 / 237	−3.8
4	16,040	2422.8	− 2485	−62.2	× 34 / 237	−8.9
5	16,041	2432.2	− 2528	−95.8	× 42 / 237	−17
6	16,042	2524.9	− 2552	−27.1	× 39 / 237	−4.5
7	16,043	2482.7	− 2567	−84.3	× 45 / 237	−16
8	16,044	2497.6	− 2586	−88.4	× 38 / 237	−14.2
Sum, rounded to a whole point						−64

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	16,065	2354.5	− 2436	−81.5	× 34 / 218	−12.7
4	16,066	2396.1	− 2485	−88.9	× 34 / 218	−13.9
5	16,067	2384.8	− 2528	−143.2	× 31 / 218	−20.4
6	16,068	2455.0	− 2552	−97	× 42 / 218	−18.7
7	16,069	2439.9	− 2567	−127.1	× 37 / 218	−21.6
8	16,070	2463.9	− 2586	−122.1	× 40 / 218	−22.4
Sum, rounded to a whole point						−110

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	16,013	2391.7	− 2436	−44.3	× 26 / 193	−6
4	16,014	2388.5	− 2485	−96.5	× 35 / 193	−17.5
5	16,015	2391.7	− 2528	−136.3	× 36 / 193	−25.4
6	16,016	2415.2	− 2552	−136.8	× 25 / 193	−17.7
7	16,017	2462.0	− 2567	−105	× 36 / 193	−19.6
8	16,018	2464.9	− 2586	−121.1	× 35 / 193	−22
Sum, rounded to a whole point						−108

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	15,962	2374.8	− 2436	−61.2	× 28 / 193	−8.9
4	15,963	2439.0	− 2485	−46	× 27 / 193	−6.4
5	15,964	2390.8	− 2528	−137.2	× 33 / 193	−23.5
6	15,965	2405.7	− 2552	−146.3	× 36 / 193	−27.3
7	15,966	2405.8	− 2567	−161.2	× 29 / 193	−24.2
8	15,967	2517.6	− 2586	−68.4	× 40 / 193	−14.2
Sum, rounded to a whole point						−104

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	15,953	2420.9	− 2436	−15.1	× 35 / 181	−2.9
4	15,954	2431.2	− 2485	−53.8	× 27 / 181	−8
5	15,955	2420.9	− 2528	−107.1	× 24 / 181	−14.2
6	15,956	2460.9	− 2552	−91.1	× 33 / 181	−16.6
7	15,957	2413.9	− 2567	−153.1	× 33 / 181	−27.9
8	15,958	2448.3	− 2586	−137.7	× 29 / 181	−22.1
Sum, rounded to a whole point						−92

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	15,968	2369.5	− 2436	−66.5	× 24 / 170	−9.4
4	15,969	2457.2	− 2485	−27.8	× 34 / 170	−5.6
5	15,970	2419.1	− 2528	−108.9	× 27 / 170	−17.3
6	15,971	2442.5	− 2552	−109.5	× 24 / 170	−15.5
7	15,972	2489.4	− 2567	−77.6	× 32 / 170	−14.6
8	15,973	2502.4	− 2586	−83.6	× 29 / 170	−14.3
Sum, rounded to a whole point						−77

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −100, −99, −85, −81, −64, −110, −108, −104, −92, −77 → −92
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: 14 · 2017→2018: 4 · 2018→2019: 17 · 2019→2022: 46 · 2022→2023: 2 · 2023→2024: 4 · 2024→2025: 12 · 2025→2026: 15 → average 12.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 12.8 × 2.66 = 34. Upper limit −58, lower limit −126.

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.