Montgomery (John J.) 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 6.

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, 83 of the 176 students who took the math test were English learners.

All students

3rd The average 3rd grader scores 56 points under the grade 3 bar. 2380 vs. 2436.
4th The average 4th grader scores 27 points under the grade 4 bar. 2458 vs. 2485.
5th The average 5th grader scores 37 points under the grade 5 bar. 2491 vs. 2528.
6th The average 6th grader scores 14 points under the grade 5 bar. 2514 vs. 2528. The 6th-grade bar is 2552.

Students fluent in English

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

Grade bars 3rd 11 students Just under the grade 3 bar. 4th 19 students Meets the grade 4 bar. 5th 33 students 34 points under the grade 5 bar. 6th 30 students Meets the grade 6 bar.

English learners

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

Grade bars 3rd 27 students 79 points under the grade 3 bar. 4th 22 students 18 points under the grade 3 bar. 5th 16 students 43 points under the grade 5 bar. 6th 18 students Just 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	70,656	2399.0	− 2436	−37	× 48 / 197	−9
4	70,659	2423.4	− 2485	−61.6	× 48 / 197	−15
5	70,660	2474.2	− 2528	−53.8	× 51 / 197	−13.9
6	70,663	2518.6	− 2552	−33.4	× 50 / 197	−8.5
Sum, rounded to a whole point						−46

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,486	2395.5	− 2436	−40.5	× 47 / 187	−10.2
4	65,487	2437.0	− 2485	−48	× 44 / 187	−11.3
5	65,490	2468.9	− 2528	−59.1	× 47 / 187	−14.9
6	65,492	2491.4	− 2552	−60.6	× 49 / 187	−15.9
Sum, rounded to a whole point						−52

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,302	2428.6	− 2436	−7.4	× 50 / 182	−2
4	67,303	2434.8	− 2485	−50.2	× 43 / 182	−11.9
5	67,305	2451.9	− 2528	−76.1	× 39 / 182	−16.3
6	67,307	2473.4	− 2552	−78.6	× 50 / 182	−21.6
Sum, rounded to a whole point						−52

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,407	2397.8	− 2436	−38.2	× 47 / 183	−9.8
4	67,409	2493.8	− 2485	8.8	× 54 / 183	2.6
5	67,411	2472.4	− 2528	−55.6	× 39 / 183	−11.8
6	67,413	2493.9	− 2552	−58.1	× 43 / 183	−13.7
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	67,923	2427.7	− 2436	−8.3	× 49 / 194	−2.1
4	67,924	2455.2	− 2485	−29.8	× 45 / 194	−6.9
5	67,925	2508.2	− 2528	−19.8	× 57 / 194	−5.8
6	67,926	2495.1	− 2552	−56.9	× 43 / 194	−12.6
Sum, rounded to a whole point						−27

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	68,051	2386.7	− 2436	−49.3	× 40 / 144	−13.7
4	68,052	2435.3	− 2485	−49.7	× 33 / 144	−11.4
5	68,053	2452.4	− 2528	−75.6	× 28 / 144	−14.7
6	68,054	2492.3	− 2552	−59.7	× 43 / 144	−17.8
Sum, rounded to a whole point						−58

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	68,069	2374.7	− 2436	−61.3	× 46 / 148	−19.1
4	68,070	2460.3	− 2485	−24.7	× 39 / 148	−6.5
5	68,071	2477.0	− 2528	−51	× 35 / 148	−12.1
6	68,072	2506.8	− 2552	−45.2	× 28 / 148	−8.6
Sum, rounded to a whole point						−46

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	68,063	2400.0	− 2436	−36	× 44 / 175	−9.1
4	68,064	2455.3	− 2485	−29.7	× 49 / 175	−8.3
5	68,065	2482.1	− 2528	−45.9	× 41 / 175	−10.8
6	68,066	2470.1	− 2552	−81.9	× 41 / 175	−19.2
Sum, rounded to a whole point						−47

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,831	2382.7	− 2436	−53.3	× 40 / 175	−12.2
4	67,832	2482.7	− 2485	−2.3	× 46 / 175	−0.6
5	67,833	2472.5	− 2528	−55.5	× 49 / 175	−15.5
6	67,834	2520.8	− 2552	−31.2	× 40 / 175	−7.1
Sum, rounded to a whole point						−35

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,878	2380.0	− 2436	−56	× 38 / 176	−12.1
4	67,879	2457.9	− 2485	−27.1	× 41 / 176	−6.3
5	67,880	2491.2	− 2528	−36.8	× 49 / 176	−10.2
6	67,881	2513.6	− 2552	−38.4	× 48 / 176	−10.5
Sum, rounded to a whole point						−39

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −46, −52, −52, −33, −27, −58, −46, −47, −35, −39 → −43.5
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 6 · 2016→2017: 0 · 2017→2018: 19 · 2018→2019: 6 · 2019→2022: 31 · 2022→2023: 12 · 2023→2024: 1 · 2024→2025: 12 · 2025→2026: 4 → average 10.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.1 × 2.66 = 26.9. Upper limit −16.6, lower limit −70.4.

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.