Lincoln 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, 43 of the 160 students who took the math test were English learners.

All students

3rd The average 3rd grader scores 55 points under the grade 3 bar. 2381 vs. 2436.
4th The average 4th grader scores 47 points under the grade 3 bar. 2389 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 41 points under the grade 4 bar. 2444 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 34 points under the grade 3 bar. 4th 25 students 42 points under the grade 3 bar. 5th 28 students 29 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 12 students 104 points under the grade 3 bar. 4th 13 students 55 points under the grade 3 bar. 5th 14 students 20 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	101,420	2374.2	− 2436	−61.8	× 60 / 157	−23.6
4	101,421	2415.8	− 2485	−69.2	× 54 / 157	−23.8
5	101,424	2420.2	− 2528	−107.8	× 43 / 157	−29.5
Sum, rounded to a whole point						−77

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,129	2363.3	− 2436	−72.7	× 48 / 161	−21.7
4	94,131	2398.4	− 2485	−86.6	× 57 / 161	−30.7
5	94,132	2420.3	− 2528	−107.7	× 56 / 161	−37.5
Sum, rounded to a whole point						−90

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,896	2376.7	− 2436	−59.3	× 47 / 140	−19.9
4	96,899	2388.4	− 2485	−96.6	× 42 / 140	−29
5	96,900	2447.0	− 2528	−81	× 51 / 140	−29.5
Sum, rounded to a whole point						−78

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,078	2372.8	− 2436	−63.2	× 46 / 135	−21.5
4	97,079	2411.2	− 2485	−73.8	× 47 / 135	−25.7
5	97,082	2416.0	− 2528	−112	× 42 / 135	−34.8
Sum, rounded to a whole point						−82

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,743	2384.7	− 2436	−51.3	× 39 / 131	−15.3
4	97,744	2402.0	− 2485	−83	× 46 / 131	−29.1
5	97,745	2450.5	− 2528	−77.5	× 46 / 131	−27.2
Sum, rounded to a whole point						−72

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,616	2328.7	− 2436	−107.3	× 48 / 152	−33.9
4	95,617	2406.0	− 2485	−79	× 58 / 152	−30.1
5	95,618	2408.3	− 2528	−119.7	× 46 / 152	−36.2
Sum, rounded to a whole point						−100

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,919	2366.1	− 2436	−69.9	× 44 / 131	−23.5
4	97,920	2387.9	− 2485	−97.1	× 44 / 131	−32.6
5	97,921	2446.0	− 2528	−82	× 43 / 131	−26.9
Sum, rounded to a whole point						−83

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,768	2377.0	− 2436	−59	× 40 / 124	−19
4	97,769	2407.6	− 2485	−77.4	× 45 / 124	−28.1
5	97,770	2419.6	− 2528	−108.4	× 39 / 124	−34.1
Sum, rounded to a whole point						−81

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,671	2395.4	− 2436	−40.6	× 40 / 129	−12.6
4	97,672	2439.7	− 2485	−45.3	× 40 / 129	−14
5	97,673	2427.2	− 2528	−100.8	× 49 / 129	−38.3
Sum, rounded to a whole point						−65

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,381	2372.0	− 2436	−64	× 45 / 172	−16.7
4	97,382	2437.8	− 2485	−47.2	× 40 / 172	−11
5	97,383	2433.8	− 2528	−94.2	× 38 / 172	−20.8
6	97,384	2431.7	− 2552	−120.3	× 49 / 172	−34.3
Sum, rounded to a whole point						−83

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,010	2381.4	− 2436	−54.6	× 41 / 160	−14
4	97,011	2389.3	− 2485	−95.7	× 38 / 160	−22.7
5	97,012	2442.6	− 2528	−85.4	× 42 / 160	−22.4
6	97,013	2443.6	− 2552	−108.4	× 39 / 160	−26.4
Sum, rounded to a whole point						−86

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −77, −90, −78, −82, −72, −100, −83, −81, −65, −83, −86 → −81.5
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: 12 · 2017→2018: 4 · 2018→2019: 10 · 2019→2021: 28 · 2021→2022: 17 · 2022→2023: 2 · 2023→2024: 16 · 2024→2025: 18 · 2025→2026: 3 → average 12.3
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 12.3 × 2.66 = 32.7. Upper limit −48.8, lower limit −114.2.

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.