Natividad 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 3 bar

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, 206 of the 404 students who took the math test were English learners.

All students

3rd The average 3rd grader scores 86 points under the grade 3 bar. 2350 vs. 2436.
4th The average 4th grader scores 20 points under the grade 3 bar. 2416 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 48 points under the grade 3 bar. 2388 vs. 2436. The 5th-grade bar is 2528.
6th The average 6th grader scores just under the grade 3 bar. 2433 vs. 2436. 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 40 students 63 points under the grade 3 bar. 4th 46 students 31 points under the grade 4 bar. 5th 46 students Just under the grade 3 bar. 6th 66 students Just 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 53 students 103 points under the grade 3 bar. 4th 48 students 57 points under the grade 3 bar. 5th 59 students 80 points under the grade 3 bar. 6th 46 students 71 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	46,128	2352.3	− 2436	−83.7	× 105 / 397	−22.1
4	46,129	2416.2	− 2485	−68.8	× 101 / 397	−17.5
5	46,132	2417.8	− 2528	−110.2	× 101 / 397	−28
6	46,133	2457.0	− 2552	−95	× 90 / 397	−21.5
Sum, rounded to a whole point						−89

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,830	2361.3	− 2436	−74.7	× 102 / 418	−18.2
4	42,832	2404.0	− 2485	−81	× 107 / 418	−20.7
5	42,834	2436.8	− 2528	−91.2	× 105 / 418	−22.9
6	42,835	2442.4	− 2552	−109.6	× 104 / 418	−27.3
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	43,905	2402.9	− 2436	−33.1	× 94 / 391	−8
4	43,907	2392.6	− 2485	−92.4	× 95 / 391	−22.5
5	43,908	2419.0	− 2528	−109	× 102 / 391	−28.4
6	43,910	2457.8	− 2552	−94.2	× 100 / 391	−24.1
Sum, rounded to a whole point						−83

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	43,921	2405.4	− 2436	−30.6	× 83 / 363	−7
4	43,924	2419.5	− 2485	−65.5	× 86 / 363	−15.5
5	43,925	2400.8	− 2528	−127.2	× 96 / 363	−33.6
6	43,928	2454.4	− 2552	−97.6	× 98 / 363	−26.3
Sum, rounded to a whole point						−83

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	44,053	2408.9	− 2436	−27.1	× 96 / 364	−7.1
4	44,054	2441.8	− 2485	−43.2	× 81 / 364	−9.6
5	44,055	2424.8	− 2528	−103.2	× 90 / 364	−25.5
6	44,056	2445.3	− 2552	−106.7	× 97 / 364	−28.4
Sum, rounded to a whole point						−71

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	43,803	2370.3	− 2436	−65.7	× 82 / 354	−15.2
4	43,804	2392.8	− 2485	−92.2	× 78 / 354	−20.3
5	43,805	2384.8	− 2528	−143.2	× 97 / 354	−39.2
6	43,806	2462.5	− 2552	−89.5	× 97 / 354	−24.5
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	43,795	2365.8	− 2436	−70.2	× 104 / 359	−20.3
4	43,796	2406.5	− 2485	−78.5	× 81 / 359	−17.7
5	43,797	2394.7	− 2528	−133.3	× 84 / 359	−31.2
6	43,798	2452.2	− 2552	−99.8	× 90 / 359	−25
Sum, rounded to a whole point						−94

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	43,617	2346.4	− 2436	−89.6	× 110 / 391	−25.2
4	43,618	2381.7	− 2485	−103.3	× 108 / 391	−28.5
5	43,619	2401.9	− 2528	−126.1	× 84 / 391	−27.1
6	43,620	2432.8	− 2552	−119.2	× 89 / 391	−27.1
Sum, rounded to a whole point						−108

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	43,366	2370.3	− 2436	−65.7	× 99 / 391	−16.6
4	43,367	2383.8	− 2485	−101.2	× 107 / 391	−27.7
5	43,368	2401.5	− 2528	−126.5	× 107 / 391	−34.6
6	43,369	2467.7	− 2552	−84.3	× 78 / 391	−16.8
Sum, rounded to a whole point						−96

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	43,252	2350.2	− 2436	−85.8	× 93 / 404	−19.8
4	43,253	2416.0	− 2485	−69	× 94 / 404	−16.1
5	43,254	2388.0	− 2528	−140	× 105 / 404	−36.4
6	43,255	2432.7	− 2552	−119.3	× 112 / 404	−33.1
Sum, rounded to a whole point						−105

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −89, −89, −83, −83, −71, −99, −94, −108, −96, −105 → −91.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 0 · 2016→2017: 6 · 2017→2018: 0 · 2018→2019: 12 · 2019→2022: 28 · 2022→2023: 5 · 2023→2024: 14 · 2024→2025: 12 · 2025→2026: 9 → average 9.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.6 × 2.66 = 25.5. Upper limit −66.2, lower limit −117.2.

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.