Robbins 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, 21 of the 60 students who took the math test were English learners.

3rd The average 3rd grader scores 17 points under the grade 3 bar. 2419 vs. 2436.
4th The average 4th grader scores 34 points under the grade 4 bar. 2451 vs. 2485.
6th The average 6th grader scores just under the grade 5 bar. 2522 vs. 2528. The 6th-grade bar is 2552.
8th The average 8th grader scores 10 points under the grade 5 bar. 2518 vs. 2528. 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
3	98,823	2423.5	− 2436	−12.5	× 20 / 115	−2.2
4	98,824	2473.5	− 2485	−11.5	× 17 / 115	−1.7
5	98,827	2479.0	− 2528	−49	× 19 / 115	−8.1
6	98,828	2513.1	− 2552	−38.9	× 19 / 115	−6.4
7	98,831	2475.0	− 2567	−92	× 20 / 115	−16
8	98,832	2457.3	− 2586	−128.7	× 20 / 115	−22.4
Sum, rounded to a whole point						−57

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	91,595	2439.3	− 2436	3.3	× 19 / 110	0.6
4	91,596	2455.1	− 2485	−29.9	× 19 / 110	−5.2
5	91,598	2491.3	− 2528	−36.7	× 15 / 110	−5
6	91,601	2520.2	− 2552	−31.8	× 19 / 110	−5.5
7	91,603	2580.9	− 2567	13.9	× 20 / 110	2.5
8	91,604	2535.9	− 2586	−50.1	× 18 / 110	−8.2
Sum, rounded to a whole point						−21

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,369	2410.6	− 2436	−25.4	× 14 / 101	−3.5
4	94,370	2483.1	− 2485	−1.9	× 16 / 101	−0.3
5	94,372	2491.4	− 2528	−36.6	× 17 / 101	−6.2
6	94,375	2533.1	− 2552	−18.9	× 14 / 101	−2.6
7	94,377	2555.6	− 2567	−11.4	× 20 / 101	−2.3
8	94,378	2620.7	− 2586	34.7	× 20 / 101	6.9
Sum, rounded to a whole point						−8

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,579	2401.5	− 2436	−34.5	× 12 / 89	−4.7
4	94,580	2443.8	− 2485	−41.2	× 13 / 89	−6
5	94,582	2479.2	− 2528	−48.8	× 17 / 89	−9.3
6	94,585	2552.6	− 2552	0.6	× 16 / 89	0.1
7	94,586	2590.1	− 2567	23.1	× 15 / 89	3.9
8	94,589	2603.8	− 2586	17.8	× 16 / 89	3.2
Sum, rounded to a whole point						−13

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,222	2447.4	− 2436	11.4	× 12 / 76	1.8
5	95,224	2509.4	− 2528	−18.6	× 14 / 76	−3.4
6	95,225	2535.7	− 2552	−16.3	× 14 / 76	−3
7	95,226	2564.4	− 2567	−2.6	× 22 / 76	−0.8
8	95,227	2629.0	− 2586	43	× 14 / 76	7.9
Sum, rounded to a whole point						3

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	93,171	2397.5	− 2436	−38.5	× 20 / 89	−8.7
4	93,172	2452.5	− 2485	−32.5	× 11 / 89	−4
5	93,173	2420.3	− 2528	−107.7	× 14 / 89	−16.9
6	93,174	2443.4	− 2552	−108.6	× 11 / 89	−13.4
7	93,175	2520.8	− 2567	−46.2	× 17 / 89	−8.8
8	93,176	2451.6	− 2586	−134.4	× 16 / 89	−24.2
Sum, rounded to a whole point						−76

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	95,437	2434.4	− 2485	−50.6	× 19 / 59	−16.3
6	95,439	2446.4	− 2552	−105.6	× 14 / 59	−25.1
7	95,440	2465.5	− 2567	−101.5	× 12 / 59	−20.6
8	95,441	2539.7	− 2586	−46.3	× 14 / 59	−11
Sum, rounded to a whole point						−73

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,320	2419.1	− 2436	−16.9	× 14 / 45	−5.3
5	95,322	2436.0	− 2528	−92	× 20 / 45	−40.9
7	95,324	2487.5	− 2567	−79.5	× 11 / 45	−19.4
Sum, rounded to a whole point						−66

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	95,186	2451.9	− 2485	−33.1	× 14 / 46	−10.1
6	95,188	2487.1	− 2552	−64.9	× 21 / 46	−29.6
8	95,190	2542.4	− 2586	−43.6	× 11 / 46	−10.4
Sum, rounded to a whole point						−50

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,917	2439.3	− 2436	3.3	× 12 / 51	0.8
5	94,919	2485.8	− 2528	−42.2	× 14 / 51	−11.6
7	94,921	2537.8	− 2567	−29.2	× 25 / 51	−14.3
Sum, rounded to a whole point						−25

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,523	2419.1	− 2436	−16.9	× 11 / 60	−3.1
4	94,524	2450.9	− 2485	−34.1	× 12 / 60	−6.8
6	94,526	2521.7	− 2552	−30.3	× 14 / 60	−7.1
8	94,528	2518.3	− 2586	−67.7	× 23 / 60	−26
Sum, rounded to a whole point						−43

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −57, −21, −8, −13, 3, −76, −73, −66, −50, −25, −43 → −39
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 36 · 2016→2017: 13 · 2017→2018: 5 · 2018→2019: 16 · 2019→2021: 79 · 2021→2022: 3 · 2022→2023: 7 · 2023→2024: 16 · 2024→2025: 25 · 2025→2026: 18 → average 21.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 21.8 × 2.66 = 58. Upper limit 19, lower limit −97.

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.