John Marshall 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 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, 46 of the 176 students who took the math test were English learners.

All students

3rd The average 3rd grader scores 32 points under the grade 3 bar. 2404 vs. 2436.
4th The average 4th grader scores 32 points under the grade 3 bar. 2404 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 16 points under the grade 3 bar. 2420 vs. 2436. The 5th-grade bar is 2528.
6th The average 6th grader scores 46 points under the grade 3 bar. 2390 vs. 2436. The 6th-grade bar is 2552.
7th The average 7th grader scores 43 points under the grade 3 bar. 2393 vs. 2436. The 7th-grade bar is 2567.
8th The average 8th grader scores just under the grade 4 bar. 2476 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 19 students 49 points under the grade 3 bar.

English learners

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

Grade bars 7th 13 students 35 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	80,454	2360.3	− 2436	−75.7	× 91 / 441	−15.6
4	80,456	2366.6	− 2485	−118.4	× 63 / 441	−16.9
5	80,458	2413.8	− 2528	−114.2	× 66 / 441	−17.1
6	80,459	2452.8	− 2552	−99.2	× 63 / 441	−14.2
7	80,462	2458.2	− 2567	−108.8	× 86 / 441	−21.2
8	80,463	2483.2	− 2586	−102.8	× 72 / 441	−16.8
Sum, rounded to a whole point						−102

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	74,554	2364.1	− 2436	−71.9	× 50 / 414	−8.7
4	74,557	2389.9	− 2485	−95.1	× 80 / 414	−18.4
5	74,559	2401.2	− 2528	−126.8	× 62 / 414	−19
6	74,561	2417.7	− 2552	−134.3	× 70 / 414	−22.7
7	74,563	2487.7	− 2567	−79.3	× 67 / 414	−12.8
8	74,564	2472.4	− 2586	−113.6	× 85 / 414	−23.3
Sum, rounded to a whole point						−105

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,539	2354.0	− 2436	−82	× 54 / 384	−11.5
4	76,542	2369.0	− 2485	−116	× 51 / 384	−15.4
5	76,544	2405.2	− 2528	−122.8	× 81 / 384	−25.9
6	76,546	2393.9	− 2552	−158.1	× 66 / 384	−27.2
7	76,548	2486.2	− 2567	−80.8	× 65 / 384	−13.7
8	76,550	2497.4	− 2586	−88.6	× 67 / 384	−15.5
Sum, rounded to a whole point						−109

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,723	2374.3	− 2436	−61.7	× 54 / 357	−9.3
4	76,725	2377.3	− 2485	−107.7	× 58 / 357	−17.5
5	76,727	2419.2	− 2528	−108.8	× 44 / 357	−13.4
6	76,729	2417.9	− 2552	−134.1	× 74 / 357	−27.8
7	76,731	2448.9	− 2567	−118.1	× 62 / 357	−20.5
8	76,733	2467.7	− 2586	−118.3	× 65 / 357	−21.5
Sum, rounded to a whole point						−110

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,229	2362.9	− 2436	−73.1	× 75 / 380	−14.4
4	77,230	2396.6	− 2485	−88.4	× 51 / 380	−11.9
5	77,231	2394.7	− 2528	−133.3	× 62 / 380	−21.7
6	77,232	2402.2	− 2552	−149.8	× 50 / 380	−19.7
7	77,233	2435.7	− 2567	−131.3	× 81 / 380	−28
8	77,234	2452.9	− 2586	−133.1	× 61 / 380	−21.4
Sum, rounded to a whole point						−117

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,381	2347.3	− 2436	−88.7	× 40 / 293	−12.1
4	77,382	2350.1	− 2485	−134.9	× 37 / 293	−17
5	77,383	2385.6	− 2528	−142.4	× 54 / 293	−26.2
6	77,384	2404.4	− 2552	−147.6	× 58 / 293	−29.2
7	77,385	2456.4	− 2567	−110.6	× 50 / 293	−18.9
8	77,386	2453.4	− 2586	−132.6	× 54 / 293	−24.4
Sum, rounded to a whole point						−128

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,367	2341.2	− 2436	−94.8	× 40 / 264	−14.4
4	77,368	2372.3	− 2485	−112.7	× 31 / 264	−13.2
5	77,369	2391.5	− 2528	−136.5	× 35 / 264	−18.1
6	77,370	2392.4	− 2552	−159.6	× 54 / 264	−32.6
7	77,371	2471.0	− 2567	−96	× 59 / 264	−21.5
8	77,372	2468.7	− 2586	−117.3	× 45 / 264	−20
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
3	77,367	2332.3	− 2436	−103.7	× 38 / 249	−15.8
4	77,368	2365.1	− 2485	−119.9	× 38 / 249	−18.3
5	77,369	2382.1	− 2528	−145.9	× 30 / 249	−17.6
6	77,370	2374.0	− 2552	−178	× 32 / 249	−22.9
7	77,371	2443.7	− 2567	−123.3	× 55 / 249	−27.2
8	77,372	2439.2	− 2586	−146.8	× 56 / 249	−33
Sum, rounded to a whole point						−135

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,021	2347.2	− 2436	−88.8	× 30 / 222	−12
4	77,022	2411.9	− 2485	−73.1	× 30 / 222	−9.9
5	77,023	2386.7	− 2528	−141.3	× 37 / 222	−23.6
6	77,024	2353.9	− 2552	−198.1	× 33 / 222	−29.4
7	77,025	2412.1	− 2567	−154.9	× 36 / 222	−25.1
8	77,026	2467.1	− 2586	−118.9	× 56 / 222	−30
Sum, rounded to a whole point						−130

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,919	2404.1	− 2436	−31.9	× 21 / 176	−3.8
4	76,920	2404.1	− 2485	−80.9	× 26 / 176	−12
5	76,921	2420.1	− 2528	−107.9	× 36 / 176	−22.1
6	76,922	2390.1	− 2552	−161.9	× 29 / 176	−26.7
7	76,923	2392.9	− 2567	−174.1	× 32 / 176	−31.7
8	76,924	2475.6	− 2586	−110.4	× 32 / 176	−20.1
Sum, rounded to a whole point						−116

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −102, −105, −109, −110, −117, −128, −120, −135, −130, −116 → −117.2
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 3 · 2016→2017: 4 · 2017→2018: 1 · 2018→2019: 7 · 2019→2022: 11 · 2022→2023: 8 · 2023→2024: 15 · 2024→2025: 5 · 2025→2026: 14 → average 7.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.6 × 2.66 = 20.2. Upper limit −97, lower limit −137.4.

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.