Commonwealth 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 6.

All students

3rd The average 3rd grader scores 36 points under the grade 3 bar. 2400 vs. 2436.
4th The average 4th grader scores 29 points under the grade 4 bar. 2456 vs. 2485.
5th The average 5th grader scores 38 points under the grade 4 bar. 2447 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores 32 points under the grade 4 bar. 2453 vs. 2485. The 6th-grade bar is 2552.

Students fluent in English

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

Grade bars 4th 25 students 14 points under the grade 4 bar. 6th 34 students 21 points under the grade 4 bar.

English learners

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

Grade bars 4th 11 students 15 points under the grade 3 bar. 6th 13 students 12 points under the grade 3 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	49,310	2383.7	− 2436	−52.3	× 61 / 225	−14.2
4	49,312	2447.3	− 2485	−37.7	× 49 / 225	−8.2
5	49,314	2450.1	− 2528	−77.9	× 48 / 225	−16.6
6	49,316	2499.9	− 2552	−52.1	× 67 / 225	−15.5
Sum, rounded to a whole point						−55

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	45,829	2390.2	− 2436	−45.8	× 57 / 223	−11.7
4	45,832	2460.6	− 2485	−24.4	× 62 / 223	−6.8
5	45,833	2467.8	− 2528	−60.2	× 58 / 223	−15.7
6	45,836	2509.1	− 2552	−42.9	× 46 / 223	−8.8
Sum, rounded to a whole point						−43

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,055	2382.0	− 2436	−54	× 60 / 240	−13.5
4	47,058	2461.6	− 2485	−23.4	× 59 / 240	−5.8
5	47,060	2471.4	− 2528	−56.6	× 58 / 240	−13.7
6	47,062	2523.6	− 2552	−28.4	× 63 / 240	−7.5
Sum, rounded to a whole point						−40

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,065	2379.2	− 2436	−56.8	× 48 / 202	−13.5
4	47,068	2423.4	− 2485	−61.6	× 60 / 202	−18.3
5	47,069	2453.8	− 2528	−74.2	× 57 / 202	−20.9
6	47,072	2476.5	− 2552	−75.5	× 37 / 202	−13.8
Sum, rounded to a whole point						−67

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,243	2406.5	− 2436	−29.5	× 46 / 205	−6.6
4	47,244	2421.5	− 2485	−63.5	× 41 / 205	−12.7
5	47,245	2466.4	− 2528	−61.6	× 55 / 205	−16.5
6	47,246	2472.0	− 2552	−80	× 63 / 205	−24.6
Sum, rounded to a whole point						−60

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,095	2368.3	− 2436	−67.7	× 38 / 182	−14.1
4	47,096	2404.8	− 2485	−80.2	× 49 / 182	−21.6
5	47,097	2457.2	− 2528	−70.8	× 58 / 182	−22.6
6	47,098	2494.4	− 2552	−57.6	× 37 / 182	−11.7
Sum, rounded to a whole point						−70

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,077	2354.8	− 2436	−81.2	× 51 / 192	−21.6
4	47,078	2424.3	− 2485	−60.7	× 35 / 192	−11.1
5	47,079	2455.9	− 2528	−72.1	× 46 / 192	−17.3
6	47,080	2486.5	− 2552	−65.5	× 60 / 192	−20.5
Sum, rounded to a whole point						−70

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,930	2372.5	− 2436	−63.5	× 33 / 167	−12.5
4	46,931	2418.5	− 2485	−66.5	× 50 / 167	−19.9
5	46,932	2442.9	− 2528	−85.1	× 37 / 167	−18.9
6	46,933	2460.5	− 2552	−91.5	× 47 / 167	−25.8
Sum, rounded to a whole point						−77

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,692	2387.9	− 2436	−48.1	× 31 / 150	−9.9
4	46,693	2443.5	− 2485	−41.5	× 33 / 150	−9.1
5	46,694	2434.9	− 2528	−93.1	× 50 / 150	−31
6	46,695	2466.8	− 2552	−85.2	× 36 / 150	−20.4
Sum, rounded to a whole point						−71

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,560	2399.9	− 2436	−36.1	× 30 / 150	−7.2
4	46,561	2455.8	− 2485	−29.2	× 36 / 150	−7
5	46,562	2446.8	− 2528	−81.2	× 37 / 150	−20
6	46,563	2453.0	− 2552	−99	× 47 / 150	−31
Sum, rounded to a whole point						−65

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −55, −43, −40, −67, −60, −70, −70, −77, −71, −65 → −61.8
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 12 · 2016→2017: 3 · 2017→2018: 27 · 2018→2019: 7 · 2019→2022: 10 · 2022→2023: 0 · 2023→2024: 7 · 2024→2025: 6 · 2025→2026: 6 → average 8.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8.7 × 2.66 = 23.1. Upper limit −38.7, lower limit −84.9.

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.