Harrington 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 5.

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, 118 of the 224 students who took the math test were English learners.

All students

3rd The average 3rd grader scores 62 points under the grade 3 bar. 2374 vs. 2436.
4th The average 4th grader scores 29 points under the grade 3 bar. 2407 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 18 points under the grade 4 bar. 2467 vs. 2485. The 5th-grade bar is 2528.

Students fluent in English

Math with English out of the way. Includes students who have only ever spoken English.

Grade bars 3rd 34 students 32 points under the grade 3 bar. 4th 21 students 46 points under the grade 4 bar. 5th 51 students 37 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 39 students 88 points under the grade 3 bar. 4th 38 students 46 points under the grade 3 bar. 5th 41 students 49 points under the grade 4 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	103,502	2346.1	− 2436	−89.9	× 76 / 213	−32.1
4	103,503	2377.5	− 2485	−107.5	× 77 / 213	−38.9
5	103,506	2470.1	− 2528	−57.9	× 60 / 213	−16.3
Sum, rounded to a whole point						−87

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,187	2365.0	− 2436	−71	× 79 / 220	−25.5
4	96,190	2407.3	− 2485	−77.7	× 65 / 220	−23
5	96,191	2433.6	− 2528	−94.4	× 76 / 220	−32.6
Sum, rounded to a whole point						−81

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	98,974	2387.0	− 2436	−49	× 94 / 284	−16.2
4	98,977	2416.7	− 2485	−68.3	× 93 / 284	−22.4
5	98,978	2420.0	− 2528	−108	× 97 / 284	−36.9
Sum, rounded to a whole point						−75

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	99,130	2365.9	− 2436	−70.1	× 85 / 272	−21.9
4	99,131	2427.7	− 2485	−57.3	× 98 / 272	−20.6
5	99,134	2430.6	− 2528	−97.4	× 89 / 272	−31.9
Sum, rounded to a whole point						−74

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	99,796	2394.3	− 2436	−41.7	× 94 / 273	−14.4
4	99,797	2425.4	− 2485	−59.6	× 82 / 273	−17.9
5	99,798	2465.7	− 2528	−62.3	× 97 / 273	−22.1
Sum, rounded to a whole point						−54

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	99,995	2339.2	− 2436	−96.8	× 79 / 290	−26.4
4	99,996	2396.5	− 2485	−88.5	× 107 / 290	−32.7
5	99,997	2433.1	− 2528	−94.9	× 104 / 290	−34
Sum, rounded to a whole point						−93

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	99,837	2357.1	− 2436	−78.9	× 72 / 244	−23.3
4	99,838	2398.4	− 2485	−86.6	× 77 / 244	−27.3
5	99,839	2461.5	− 2528	−66.5	× 95 / 244	−25.9
Sum, rounded to a whole point						−77

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	99,716	2379.7	− 2436	−56.3	× 100 / 255	−22.1
4	99,717	2415.9	− 2485	−69.1	× 76 / 255	−20.6
5	99,718	2463.3	− 2528	−64.7	× 79 / 255	−20
Sum, rounded to a whole point						−63

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	99,422	2351.2	− 2436	−84.8	× 65 / 231	−23.9
4	99,423	2408.4	− 2485	−76.6	× 95 / 231	−31.5
5	99,424	2480.2	− 2528	−47.8	× 71 / 231	−14.7
Sum, rounded to a whole point						−70

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	99,081	2374.0	− 2436	−62	× 73 / 224	−20.2
4	99,082	2407.3	− 2485	−77.7	× 59 / 224	−20.5
5	99,083	2466.9	− 2528	−61.1	× 92 / 224	−25.1
Sum, rounded to a whole point						−66

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −87, −81, −75, −74, −54, −93, −77, −63, −70, −66 → −74
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 6 · 2016→2017: 6 · 2017→2018: 1 · 2018→2019: 20 · 2019→2022: 39 · 2022→2023: 16 · 2023→2024: 14 · 2024→2025: 7 · 2025→2026: 4 → average 12.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 12.6 × 2.66 = 33.5. Upper limit −40.5, lower limit −107.5.

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.