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 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, 138 of the 466 students who took the math test were English learners.

All students

3rd The average 3rd grader scores 73 points under the grade 3 bar. 2363 vs. 2436.
4th The average 4th grader scores 45 points under the grade 3 bar. 2391 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 30 points under the grade 3 bar. 2406 vs. 2436. The 5th-grade bar is 2528.
6th The average 6th grader scores 42 points under the grade 4 bar. 2443 vs. 2485. The 6th-grade bar is 2552.
7th The average 7th grader scores 30 points under the grade 3 bar. 2407 vs. 2436. The 7th-grade bar is 2567.
8th The average 8th grader scores 45 points under the grade 4 bar. 2440 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 3rd 45 students 60 points under the grade 3 bar. 4th 61 students 29 points under the grade 3 bar. 5th 59 students 24 points under the grade 3 bar. 6th 52 students 25 points under the grade 4 bar. 7th 40 students Just under the grade 3 bar. 8th 71 students 31 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 21 students 102 points under the grade 3 bar. 4th 39 students 70 points under the grade 3 bar. 5th 20 students 47 points under the grade 3 bar. 6th 17 students 44 points under the grade 3 bar. 7th 27 students 62 points under the grade 3 bar. 8th 14 students 66 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	79,840	2373.3	− 2436	−62.7	× 64 / 374	−10.7
4	79,843	2428.8	− 2485	−56.2	× 60 / 374	−9
5	79,844	2438.7	− 2528	−89.3	× 57 / 374	−13.6
6	79,847	2450.8	− 2552	−101.2	× 56 / 374	−15.2
7	79,848	2465.4	− 2567	−101.6	× 60 / 374	−16.3
8	79,851	2455.9	− 2586	−130.1	× 77 / 374	−26.8
Sum, rounded to a whole point						−92

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	73,971	2383.4	− 2436	−52.6	× 70 / 380	−9.7
4	73,973	2410.3	− 2485	−74.7	× 67 / 380	−13.2
5	73,975	2445.9	− 2528	−82.1	× 56 / 380	−12.1
6	73,977	2455.7	− 2552	−96.3	× 55 / 380	−13.9
7	73,979	2457.0	− 2567	−110	× 68 / 380	−19.7
8	73,980	2465.3	− 2586	−120.7	× 64 / 380	−20.3
Sum, rounded to a whole point						−89

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	75,958	2384.5	− 2436	−51.5	× 57 / 398	−7.4
4	75,960	2412.2	− 2485	−72.8	× 83 / 398	−15.2
5	75,962	2421.6	− 2528	−106.4	× 75 / 398	−20.1
6	75,963	2469.4	− 2552	−82.6	× 58 / 398	−12
7	75,965	2461.8	− 2567	−105.2	× 56 / 398	−14.8
8	75,967	2484.1	− 2586	−101.9	× 69 / 398	−17.7
Sum, rounded to a whole point						−87

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,149	2372.1	− 2436	−63.9	× 71 / 391	−11.6
4	76,150	2414.6	− 2485	−70.4	× 51 / 391	−9.2
5	76,153	2461.0	− 2528	−67	× 81 / 391	−13.9
6	76,154	2471.1	− 2552	−80.9	× 69 / 391	−14.3
7	76,157	2456.0	− 2567	−111	× 63 / 391	−17.9
8	76,158	2483.8	− 2586	−102.2	× 56 / 391	−14.6
Sum, rounded to a whole point						−81

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,673	2403.0	− 2436	−33	× 68 / 413	−5.4
4	76,674	2421.9	− 2485	−63.1	× 74 / 413	−11.3
5	76,675	2421.3	− 2528	−106.7	× 59 / 413	−15.2
6	76,676	2451.3	− 2552	−100.7	× 72 / 413	−17.6
7	76,677	2481.7	− 2567	−85.3	× 72 / 413	−14.9
8	76,678	2480.5	− 2586	−105.5	× 68 / 413	−17.4
Sum, rounded to a whole point						−82

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,829	2335.5	− 2436	−100.5	× 75 / 427	−17.7
4	76,830	2395.6	− 2485	−89.4	× 78 / 427	−16.3
5	76,831	2411.5	− 2528	−116.5	× 67 / 427	−18.3
6	76,832	2446.5	− 2552	−105.5	× 70 / 427	−17.3
7	76,833	2444.6	− 2567	−122.4	× 70 / 427	−20.1
8	76,834	2443.6	− 2586	−142.4	× 67 / 427	−22.3
Sum, rounded to a whole point						−112

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,823	2364.9	− 2436	−71.1	× 69 / 409	−12
4	76,824	2379.2	− 2485	−105.8	× 72 / 409	−18.6
5	76,825	2416.1	− 2528	−111.9	× 71 / 409	−19.4
6	76,826	2411.4	− 2552	−140.6	× 62 / 409	−21.3
7	76,827	2441.7	− 2567	−125.3	× 72 / 409	−22.1
8	76,828	2440.6	− 2586	−145.4	× 63 / 409	−22.4
Sum, rounded to a whole point						−116

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,814	2370.3	− 2436	−65.7	× 65 / 393	−10.9
4	76,815	2389.0	− 2485	−96	× 58 / 393	−14.2
5	76,816	2378.5	− 2528	−149.5	× 73 / 393	−27.8
6	76,817	2415.8	− 2552	−136.2	× 72 / 393	−25
7	76,818	2437.1	− 2567	−129.9	× 58 / 393	−19.2
8	76,819	2447.2	− 2586	−138.8	× 67 / 393	−23.7
Sum, rounded to a whole point						−121

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,467	2345.0	− 2436	−91	× 87 / 452	−17.5
4	76,468	2409.4	− 2485	−75.6	× 74 / 452	−12.4
5	76,469	2408.8	− 2528	−119.2	× 62 / 452	−16.4
6	76,470	2400.1	− 2552	−151.9	× 75 / 452	−25.2
7	76,471	2430.8	− 2567	−136.2	× 82 / 452	−24.7
8	76,472	2432.3	− 2586	−153.7	× 72 / 452	−24.5
Sum, rounded to a whole point						−121

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,371	2362.8	− 2436	−73.2	× 66 / 466	−10.4
4	76,372	2391.1	− 2485	−93.9	× 100 / 466	−20.2
5	76,373	2406.1	− 2528	−121.9	× 79 / 466	−20.7
6	76,374	2443.4	− 2552	−108.6	× 69 / 466	−16.1
7	76,375	2406.5	− 2567	−160.5	× 67 / 466	−23.1
8	76,376	2440.0	− 2586	−146	× 85 / 466	−26.6
Sum, rounded to a whole point						−117

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −92, −89, −87, −81, −82, −112, −116, −121, −121, −117 → −101.8
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: 2 · 2017→2018: 6 · 2018→2019: 1 · 2019→2022: 30 · 2022→2023: 4 · 2023→2024: 5 · 2024→2025: 0 · 2025→2026: 4 → average 6.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 6.1 × 2.66 = 16.2. Upper limit −85.6, lower limit −118.

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.