Samuel Jackman 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 4 bar

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, 286 of the 896 students who took the math test were English learners.

All students

7th The average 7th grader scores 14 points under the grade 4 bar. 2471 vs. 2485. The 7th-grade bar is 2567.
8th The average 8th grader scores 25 points under the grade 4 bar. 2460 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 7th 315 students 29 points under the grade 5 bar. 8th 295 students 36 points under the grade 5 bar.

English learners

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

Grade bars 7th 142 students 26 points under the grade 3 bar. 8th 144 students 42 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
7	60,381	2481.7	− 2567	−85.3	× 448 / 841	−45.4
8	60,383	2488.1	− 2586	−97.9	× 393 / 841	−45.7
Sum, rounded to a whole point						−91

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	56,078	2492.0	− 2567	−75	× 447 / 880	−38.1
8	56,080	2493.2	− 2586	−92.8	× 433 / 880	−45.7
Sum, rounded to a whole point						−84

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	57,710	2503.9	− 2567	−63.1	× 495 / 941	−33.2
8	57,713	2497.0	− 2586	−89	× 446 / 941	−42.2
Sum, rounded to a whole point						−75

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	57,845	2494.7	− 2567	−72.3	× 481 / 983	−35.4
8	57,848	2490.6	− 2586	−95.4	× 502 / 983	−48.7
Sum, rounded to a whole point						−84

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	58,099	2509.4	− 2567	−57.6	× 518 / 995	−30
8	58,100	2482.7	− 2586	−103.3	× 477 / 995	−49.5
Sum, rounded to a whole point						−80

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	56,786	2475.8	− 2567	−91.2	× 360 / 677	−48.5
8	56,787	2477.9	− 2586	−108.1	× 317 / 677	−50.6
Sum, rounded to a whole point						−99

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	58,140	2480.5	− 2567	−86.5	× 427 / 854	−43.3
8	58,141	2456.7	− 2586	−129.3	× 427 / 854	−64.7
Sum, rounded to a whole point						−108

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	58,114	2456.7	− 2567	−110.3	× 421 / 851	−54.6
8	58,115	2462.1	− 2586	−123.9	× 430 / 851	−62.6
Sum, rounded to a whole point						−117

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	58,011	2455.8	− 2567	−111.2	× 405 / 829	−54.3
8	58,012	2451.2	− 2586	−134.8	× 424 / 829	−68.9
Sum, rounded to a whole point						−123

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	57,770	2459.2	− 2567	−107.8	× 465 / 870	−57.6
8	57,771	2458.6	− 2586	−127.4	× 405 / 870	−59.3
Sum, rounded to a whole point						−117

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	57,691	2471.1	− 2567	−95.9	× 457 / 896	−48.9
8	57,692	2460.0	− 2586	−126	× 439 / 896	−61.7
Sum, rounded to a whole point						−111

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −91, −84, −75, −84, −80, −99, −108, −117, −123, −117, −111 → −99
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 7 · 2016→2017: 9 · 2017→2018: 9 · 2018→2019: 4 · 2019→2021: 19 · 2021→2022: 9 · 2022→2023: 9 · 2023→2024: 6 · 2024→2025: 6 · 2025→2026: 6 → average 8.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8.4 × 2.66 = 22.3. Upper limit −76.7, lower limit −121.3.

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.