Columbia Middle: 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, 169 of the 661 students who took the math test were English learners.

All students

6th The average 6th grader scores 19 points under the grade 5 bar. 2509 vs. 2528. The 6th-grade bar is 2552.
7th The average 7th grader scores 13 points under the grade 5 bar. 2515 vs. 2528. The 7th-grade bar is 2567.
8th The average 8th grader scores 10 points under the grade 7 bar. 2557 vs. 2567. 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 6th 162 students 15 points under the grade 6 bar. 7th 154 students Just under the grade 7 bar. 8th 176 students Meets the grade 8 bar.

English learners

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

Grade bars 6th 53 students 14 points under the grade 3 bar. 7th 62 students 28 points under the grade 3 bar. 8th 54 students 15 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
6	89,528	2499.2	− 2552	−52.8	× 240 / 701	−18.1
7	89,530	2495.8	− 2567	−71.2	× 230 / 701	−23.4
8	89,532	2512.3	− 2586	−73.7	× 231 / 701	−24.3
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
6	83,027	2505.0	− 2552	−47	× 212 / 683	−14.6
7	83,030	2508.9	− 2567	−58.1	× 241 / 683	−20.5
8	83,032	2521.3	− 2586	−64.7	× 230 / 683	−21.8
Sum, rounded to a whole point						−57

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	85,349	2476.8	− 2552	−75.2	× 285 / 734	−29.2
7	85,351	2501.5	− 2567	−65.5	× 197 / 734	−17.6
8	85,354	2521.1	− 2586	−64.9	× 252 / 734	−22.3
Sum, rounded to a whole point						−69

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	85,570	2488.0	− 2552	−64	× 269 / 742	−23.2
7	85,571	2487.7	− 2567	−79.3	× 272 / 742	−29.1
8	85,574	2507.3	− 2586	−78.7	× 201 / 742	−21.3
Sum, rounded to a whole point						−74

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	86,159	2483.3	− 2552	−68.7	× 239 / 774	−21.2
7	86,160	2492.6	− 2567	−74.4	× 270 / 774	−26
8	86,161	2486.8	− 2586	−99.2	× 265 / 774	−34
Sum, rounded to a whole point						−81

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	86,380	2456.6	− 2552	−95.4	× 181 / 572	−30.2
7	86,381	2500.0	− 2567	−67	× 189 / 572	−22.1
8	86,382	2526.8	− 2586	−59.2	× 202 / 572	−20.9
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
6	86,294	2468.1	− 2552	−83.9	× 208 / 583	−29.9
7	86,295	2476.1	− 2567	−90.9	× 177 / 583	−27.6
8	86,296	2520.2	− 2586	−65.8	× 198 / 583	−22.3
Sum, rounded to a whole point						−80

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	86,286	2466.2	− 2552	−85.8	× 228 / 647	−30.2
7	86,287	2502.6	− 2567	−64.4	× 220 / 647	−21.9
8	86,288	2512.4	− 2586	−73.6	× 199 / 647	−22.6
Sum, rounded to a whole point						−75

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	85,974	2486.9	− 2552	−65.1	× 215 / 676	−20.7
7	85,975	2508.9	− 2567	−58.1	× 238 / 676	−20.5
8	85,976	2536.3	− 2586	−49.7	× 223 / 676	−16.4
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
6	85,729	2509.1	− 2552	−42.9	× 215 / 661	−14
7	85,730	2515.0	− 2567	−52	× 216 / 661	−17
8	85,731	2556.8	− 2586	−29.2	× 230 / 661	−10.2
Sum, rounded to a whole point						−41

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −66, −57, −69, −74, −81, −73, −80, −75, −58, −41 → −67.4
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 9 · 2016→2017: 12 · 2017→2018: 5 · 2018→2019: 7 · 2019→2022: 8 · 2022→2023: 7 · 2023→2024: 5 · 2024→2025: 17 · 2025→2026: 17 → average 9.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.7 × 2.66 = 25.8. Upper limit −41.6, lower limit −93.2.

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.