Longwood 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, 129 of the 267 students who took the math test were English learners.

All students

3rd The average 3rd grader scores 72 points under the grade 3 bar. 2365 vs. 2436.
4th The average 4th grader scores 19 points under the grade 3 bar. 2417 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 42 points under the grade 4 bar. 2443 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores 39 points under the grade 4 bar. 2446 vs. 2485. 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 29 students 31 points under the grade 3 bar. 4th 27 students 37 points under the grade 4 bar. 5th 41 students 14 points under the grade 4 bar. 6th 41 students 17 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 3rd 34 students 106 points under the grade 3 bar. 4th 42 students 39 points under the grade 3 bar. 5th 29 students 34 points under the grade 3 bar. 6th 24 students 29 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	1,482	2384.7	− 2436	−51.3	× 104 / 384	−13.9
4	1,484	2419.2	− 2485	−65.8	× 98 / 384	−16.8
5	1,486	2437.2	− 2528	−90.8	× 99 / 384	−23.4
6	1,488	2501.3	− 2552	−50.7	× 83 / 384	−11
Sum, rounded to a whole point						−65

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,287	2375.7	− 2436	−60.3	× 80 / 374	−12.9
4	1,288	2415.1	− 2485	−69.9	× 113 / 374	−21.1
5	1,290	2425.6	− 2528	−102.4	× 91 / 374	−24.9
6	1,293	2471.7	− 2552	−80.3	× 90 / 374	−19.3
Sum, rounded to a whole point						−78

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,324	2392.4	− 2436	−43.6	× 99 / 386	−11.2
4	1,327	2420.4	− 2485	−64.6	× 91 / 386	−15.2
5	1,329	2435.5	− 2528	−92.5	× 102 / 386	−24.4
6	1,330	2446.9	− 2552	−105.1	× 94 / 386	−25.6
Sum, rounded to a whole point						−76

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,354	2380.0	− 2436	−56	× 83 / 355	−13.1
4	1,357	2431.1	− 2485	−53.9	× 99 / 355	−15
5	1,358	2461.0	− 2528	−67	× 80 / 355	−15.1
6	1,361	2456.5	− 2552	−95.5	× 93 / 355	−25
Sum, rounded to a whole point						−68

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,381	2401.7	− 2436	−34.3	× 83 / 352	−8.1
4	1,382	2426.7	− 2485	−58.3	× 87 / 352	−14.4
5	1,383	2455.3	− 2528	−72.7	× 104 / 352	−21.5
6	1,384	2467.0	− 2552	−85	× 78 / 352	−18.8
Sum, rounded to a whole point						−63

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,365	2336.0	− 2436	−100	× 65 / 268	−24.3
4	1,366	2402.0	− 2485	−83	× 73 / 268	−22.6
5	1,367	2425.6	− 2528	−102.4	× 78 / 268	−29.8
6	1,368	2437.7	− 2552	−114.3	× 52 / 268	−22.2
Sum, rounded to a whole point						−99

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,361	2351.8	− 2436	−84.2	× 65 / 300	−18.2
4	1,362	2389.4	− 2485	−95.6	× 82 / 300	−26.1
5	1,363	2414.4	− 2528	−113.6	× 74 / 300	−28
6	1,364	2429.7	− 2552	−122.3	× 79 / 300	−32.2
Sum, rounded to a whole point						−105

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,329	2363.2	− 2436	−72.8	× 65 / 284	−16.7
4	1,330	2391.8	− 2485	−93.2	× 73 / 284	−24
5	1,331	2418.2	− 2528	−109.8	× 78 / 284	−30.2
6	1,332	2428.5	− 2552	−123.5	× 68 / 284	−29.6
Sum, rounded to a whole point						−100

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,321	2360.4	− 2436	−75.6	× 63 / 279	−17.1
4	1,322	2403.2	− 2485	−81.8	× 70 / 279	−20.5
5	1,323	2431.6	− 2528	−96.4	× 73 / 279	−25.2
6	1,324	2442.4	− 2552	−109.6	× 73 / 279	−28.7
Sum, rounded to a whole point						−91

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,315	2364.5	− 2436	−71.5	× 63 / 267	−16.9
4	1,316	2417.3	− 2485	−67.7	× 69 / 267	−17.5
5	1,317	2442.6	− 2528	−85.4	× 70 / 267	−22.4
6	1,318	2445.8	− 2552	−106.2	× 65 / 267	−25.9
Sum, rounded to a whole point						−83

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −65, −78, −76, −68, −63, −99, −105, −100, −91, −83 → −82.8
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 13 · 2016→2017: 2 · 2017→2018: 8 · 2018→2019: 5 · 2019→2022: 36 · 2022→2023: 6 · 2023→2024: 5 · 2024→2025: 9 · 2025→2026: 8 → average 10.2
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.2 × 2.66 = 27.1. Upper limit −55.7, lower limit −109.9.

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.