Hawthorne 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.

All students

3rd The average 3rd grader scores 32 points under the grade 3 bar. 2404 vs. 2436.
4th The average 4th grader scores 41 points under the grade 4 bar. 2445 vs. 2485.
5th The average 5th grader scores 23 points under the grade 4 bar. 2462 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores 31 points under the grade 5 bar. 2497 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 79 students 26 points under the grade 3 bar. 4th 73 students 33 points under the grade 4 bar. 5th 70 students 11 points under the grade 4 bar. 6th 69 students 11 points under the grade 5 bar.

English learners

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

Grade bars 3rd 11 students 72 points under the grade 3 bar. 4th 11 students 39 points under the grade 3 bar. 5th 13 students 42 points under the grade 3 bar. 6th 12 students 53 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	58,201	2416.7	− 2436	−19.3	× 106 / 380	−5.4
4	58,203	2457.3	− 2485	−27.7	× 97 / 380	−7.1
5	58,205	2461.2	− 2528	−66.8	× 89 / 380	−15.6
6	58,207	2508.0	− 2552	−44	× 88 / 380	−10.2
Sum, rounded to a whole point						−38

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	54,023	2439.2	− 2436	3.2	× 95 / 395	0.8
4	54,026	2450.5	− 2485	−34.5	× 110 / 395	−9.6
5	54,027	2471.5	− 2528	−56.5	× 102 / 395	−14.6
6	54,029	2492.2	− 2552	−59.8	× 88 / 395	−13.3
Sum, rounded to a whole point						−37

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,603	2432.8	− 2436	−3.2	× 95 / 416	−0.7
4	55,604	2478.4	− 2485	−6.6	× 101 / 416	−1.6
5	55,606	2447.0	− 2528	−81	× 111 / 416	−21.6
6	55,609	2483.3	− 2552	−68.7	× 109 / 416	−18
Sum, rounded to a whole point						−42

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,699	2424.8	− 2436	−11.2	× 105 / 405	−2.9
4	55,702	2463.5	− 2485	−21.5	× 97 / 405	−5.1
5	55,703	2452.2	− 2528	−75.8	× 96 / 405	−18
6	55,706	2462.3	− 2552	−89.7	× 107 / 405	−23.7
Sum, rounded to a whole point						−50

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,959	2428.0	− 2436	−8	× 85 / 381	−1.8
4	55,960	2462.1	− 2485	−22.9	× 99 / 381	−6
5	55,961	2475.6	− 2528	−52.4	× 96 / 381	−13.2
6	55,962	2515.4	− 2552	−36.6	× 101 / 381	−9.7
Sum, rounded to a whole point						−31

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	56,023	2385.4	− 2436	−50.6	× 84 / 319	−13.3
4	56,024	2460.1	− 2485	−24.9	× 79 / 319	−6.2
5	56,025	2459.2	− 2528	−68.8	× 81 / 319	−17.5
6	56,026	2469.0	− 2552	−83	× 75 / 319	−19.5
Sum, rounded to a whole point						−56

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,972	2413.0	− 2436	−23	× 85 / 343	−5.7
4	55,973	2439.2	− 2485	−45.8	× 89 / 343	−11.9
5	55,974	2448.2	− 2528	−79.8	× 86 / 343	−20
6	55,975	2482.5	− 2552	−69.5	× 83 / 343	−16.8
Sum, rounded to a whole point						−54

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,848	2403.5	− 2436	−32.5	× 88 / 356	−8
4	55,849	2445.7	− 2485	−39.3	× 85 / 356	−9.4
5	55,850	2444.5	− 2528	−83.5	× 93 / 356	−21.8
6	55,851	2485.6	− 2552	−66.4	× 90 / 356	−16.8
Sum, rounded to a whole point						−56

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,612	2420.6	− 2436	−15.4	× 75 / 340	−3.4
4	55,613	2437.2	− 2485	−47.8	× 87 / 340	−12.2
5	55,614	2477.7	− 2528	−50.3	× 86 / 340	−12.7
6	55,615	2489.9	− 2552	−62.1	× 92 / 340	−16.8
Sum, rounded to a whole point						−45

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,535	2404.4	− 2436	−31.6	× 90 / 338	−8.4
4	55,536	2444.5	− 2485	−40.5	× 84 / 338	−10.1
5	55,537	2461.9	− 2528	−66.1	× 83 / 338	−16.2
6	55,538	2496.9	− 2552	−55.1	× 81 / 338	−13.2
Sum, rounded to a whole point						−48

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −38, −37, −42, −50, −31, −56, −54, −56, −45, −48 → −45.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 1 · 2016→2017: 5 · 2017→2018: 8 · 2018→2019: 19 · 2019→2022: 25 · 2022→2023: 2 · 2023→2024: 2 · 2024→2025: 11 · 2025→2026: 3 → average 8.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8.4 × 2.66 = 22.3. Upper limit −23.4, lower limit −68.

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.