North Mountain 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.

All students

6th The average 6th grader scores just under the grade 3 bar. 2429 vs. 2436. The 6th-grade bar is 2552.
7th The average 7th grader scores 16 points under the grade 4 bar. 2469 vs. 2485. The 7th-grade bar is 2567.
8th The average 8th grader scores 23 points under the grade 4 bar. 2462 vs. 2485. 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 223 students 45 points under the grade 4 bar. 7th 231 students Just under the grade 4 bar. 8th 267 students 15 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 6th 51 students 52 points under the grade 3 bar. 7th 46 students 16 points under the grade 3 bar. 8th 28 students 53 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	58,640	2457.1	− 2552	−94.9	× 326 / 1011	−30.6
7	58,642	2438.3	− 2567	−128.7	× 332 / 1011	−42.3
8	58,644	2467.1	− 2586	−118.9	× 353 / 1011	−41.5
Sum, rounded to a whole point						−114

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	54,427	2466.2	− 2552	−85.8	× 331 / 975	−29.1
7	54,430	2472.1	− 2567	−94.9	× 326 / 975	−31.7
8	54,431	2484.3	− 2586	−101.7	× 318 / 975	−33.2
Sum, rounded to a whole point						−94

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	56,023	2467.3	− 2552	−84.7	× 356 / 1046	−28.8
7	56,025	2469.4	− 2567	−97.6	× 342 / 1046	−31.9
8	56,026	2485.7	− 2586	−100.3	× 348 / 1046	−33.4
Sum, rounded to a whole point						−94

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	56,122	2456.9	− 2552	−95.1	× 334 / 1048	−30.3
7	56,123	2456.6	− 2567	−110.4	× 371 / 1048	−39.1
8	56,126	2451.3	− 2586	−134.7	× 343 / 1048	−44.1
Sum, rounded to a whole point						−113

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	56,380	2466.9	− 2552	−85.1	× 336 / 1033	−27.7
7	56,381	2461.0	− 2567	−106	× 333 / 1033	−34.2
8	56,382	2472.2	− 2586	−113.8	× 364 / 1033	−40.1
Sum, rounded to a whole point						−102

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	56,458	2438.0	− 2552	−114	× 252 / 810	−35.5
7	56,459	2442.5	− 2567	−124.5	× 266 / 810	−40.9
8	56,460	2431.8	− 2586	−154.2	× 292 / 810	−55.6
Sum, rounded to a whole point						−132

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	56,419	2439.6	− 2552	−112.4	× 282 / 794	−39.9
7	56,420	2459.9	− 2567	−107.1	× 255 / 794	−34.4
8	56,421	2446.2	− 2586	−139.8	× 257 / 794	−45.3
Sum, rounded to a whole point						−120

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	56,303	2418.1	− 2552	−133.9	× 312 / 916	−45.6
7	56,304	2455.5	− 2567	−111.5	× 305 / 916	−37.1
8	56,305	2458.0	− 2586	−128	× 299 / 916	−41.8
Sum, rounded to a whole point						−125

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	56,063	2428.7	− 2552	−123.3	× 277 / 904	−37.8
7	56,064	2453.1	− 2567	−113.9	× 309 / 904	−38.9
8	56,065	2459.9	− 2586	−126.1	× 318 / 904	−44.4
Sum, rounded to a whole point						−121

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	56,006	2429.2	− 2552	−122.8	× 274 / 846	−39.8
7	56,007	2469.3	− 2567	−97.7	× 277 / 846	−32
8	56,008	2461.9	− 2586	−124.1	× 295 / 846	−43.3
Sum, rounded to a whole point						−115

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −114, −94, −94, −113, −102, −132, −120, −125, −121, −115 → −113
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 20 · 2016→2017: 0 · 2017→2018: 19 · 2018→2019: 11 · 2019→2022: 30 · 2022→2023: 12 · 2023→2024: 5 · 2024→2025: 4 · 2025→2026: 6 → average 11.9
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 11.9 × 2.66 = 31.7. Upper limit −81.3, lower limit −144.7.

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.