Arthur E. Mills Intermediate: 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 5.

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, 199 of the 487 students who took the math test were English learners.

All students

3rd The average 3rd grader scores 40 points under the grade 3 bar. 2396 vs. 2436.
4th The average 4th grader scores 17 points under the grade 3 bar. 2420 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 40 points under the grade 4 bar. 2445 vs. 2485. The 5th-grade bar is 2528.

Students fluent in English

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

Grade bars 3rd 77 students 15 points under the grade 3 bar. 4th 103 students 39 points under the grade 4 bar. 5th 108 students 12 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 3rd 68 students 68 points under the grade 3 bar. 4th 75 students 53 points under the grade 3 bar. 5th 56 students 44 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	12,287	2398.5	− 2436	−37.5	× 170 / 493	−12.9
4	12,289	2433.9	− 2485	−51.1	× 141 / 493	−14.6
5	12,291	2422.7	− 2528	−105.3	× 182 / 493	−38.9
Sum, rounded to a whole point						−66

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,316	2426.9	− 2436	−9.1	× 162 / 483	−3.1
4	11,319	2421.4	− 2485	−63.6	× 177 / 483	−23.3
5	11,321	2454.3	− 2528	−73.7	× 144 / 483	−22
Sum, rounded to a whole point						−48

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,640	2430.9	− 2436	−5.1	× 180 / 526	−1.7
4	11,642	2431.9	− 2485	−53.1	× 169 / 526	−17.1
5	11,645	2445.0	− 2528	−83	× 177 / 526	−27.9
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	11,672	2434.8	− 2436	−1.2	× 166 / 510	−0.4
4	11,674	2447.9	− 2485	−37.1	× 178 / 510	−12.9
5	11,676	2466.6	− 2528	−61.4	× 166 / 510	−20
Sum, rounded to a whole point						−33

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,764	2443.4	− 2436	7.4	× 184 / 530	2.6
4	11,765	2452.8	− 2485	−32.2	× 162 / 530	−9.8
5	11,766	2488.3	− 2528	−39.7	× 184 / 530	−13.8
Sum, rounded to a whole point						−21

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,590	2365.3	− 2436	−70.7	× 157 / 518	−21.4
4	11,591	2398.0	− 2485	−87	× 178 / 518	−29.9
5	11,592	2436.3	− 2528	−91.7	× 183 / 518	−32.4
Sum, rounded to a whole point						−84

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,739	2395.0	− 2436	−41	× 156 / 483	−13.2
4	11,740	2411.3	− 2485	−73.7	× 153 / 483	−23.3
5	11,741	2434.6	− 2528	−93.4	× 174 / 483	−33.6
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	11,724	2397.9	− 2436	−38.1	× 161 / 473	−13
4	11,725	2430.0	− 2485	−55	× 155 / 473	−18
5	11,726	2463.3	− 2528	−64.7	× 157 / 473	−21.5
Sum, rounded to a whole point						−52

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,681	2402.0	− 2436	−34	× 167 / 491	−11.6
4	11,682	2425.2	− 2485	−59.8	× 163 / 491	−19.9
5	11,683	2445.0	− 2528	−83	× 161 / 491	−27.2
Sum, rounded to a whole point						−59

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,620	2392.5	− 2436	−43.5	× 172 / 495	−15.1
4	11,621	2423.0	− 2485	−62	× 161 / 495	−20.2
5	11,622	2459.0	− 2528	−69	× 162 / 495	−22.6
Sum, rounded to a whole point						−58

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	11,644	2396.1	− 2436	−39.9	× 145 / 487	−11.9
4	11,645	2419.5	− 2485	−65.5	× 178 / 487	−23.9
5	11,646	2445.3	− 2528	−82.7	× 164 / 487	−27.8
Sum, rounded to a whole point						−64

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −66, −48, −47, −33, −21, −84, −70, −52, −59, −58, −64 → −54.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 18 · 2016→2017: 1 · 2017→2018: 14 · 2018→2019: 12 · 2019→2021: 63 · 2021→2022: 14 · 2022→2023: 18 · 2023→2024: 7 · 2024→2025: 1 · 2025→2026: 6 → average 15.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 15.4 × 2.66 = 41. Upper limit −13.7, lower limit −95.7.

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.