Horace Mann 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, 120 of the 462 students who took the math test were English learners.

All students

3rd The average 3rd grader scores 77 points under the grade 3 bar. 2359 vs. 2436.
4th The average 4th grader scores just under the grade 3 bar. 2429 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 30 points under the grade 4 bar. 2455 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores just under the grade 3 bar. 2434 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 74 students 65 points under the grade 3 bar. 4th 99 students 49 points under the grade 4 bar. 5th 75 students Just under the grade 4 bar. 6th 94 students 34 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 40 students 99 points under the grade 3 bar. 4th 22 students 38 points under the grade 3 bar. 5th 28 students 60 points under the grade 3 bar. 6th 30 students 54 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	15,977	2389.5	− 2436	−46.5	× 130 / 386	−15.7
4	15,978	2427.9	− 2485	−57.1	× 136 / 386	−20.1
5	15,981	2442.7	− 2528	−85.3	× 120 / 386	−26.5
Sum, rounded to a whole point						−62

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	14,999	2394.1	− 2436	−41.9	× 150 / 418	−15
4	15,000	2429.1	− 2485	−55.9	× 127 / 418	−17
5	15,003	2462.6	− 2528	−65.4	× 141 / 418	−22.1
Sum, rounded to a whole point						−54

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	15,315	2395.7	− 2436	−40.3	× 139 / 415	−13.5
4	15,318	2434.9	− 2485	−50.1	× 150 / 415	−18.1
5	15,319	2478.3	− 2528	−49.7	× 126 / 415	−15.1
Sum, rounded to a whole point						−47

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	15,336	2376.5	− 2436	−59.5	× 123 / 409	−17.9
4	15,339	2442.7	− 2485	−42.3	× 133 / 409	−13.8
5	15,340	2468.2	− 2528	−59.8	× 153 / 409	−22.4
Sum, rounded to a whole point						−54

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	15,448	2387.0	− 2436	−49	× 120 / 356	−16.5
4	15,449	2448.3	− 2485	−36.7	× 113 / 356	−11.6
5	15,450	2468.4	− 2528	−59.6	× 123 / 356	−20.6
Sum, rounded to a whole point						−49

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	15,473	2360.7	− 2436	−75.3	× 113 / 466	−18.3
4	15,474	2398.8	− 2485	−86.2	× 123 / 466	−22.8
5	15,475	2436.2	− 2528	−91.8	× 128 / 466	−25.2
6	15,476	2449.9	− 2552	−102.1	× 102 / 466	−22.3
Sum, rounded to a whole point						−89

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	15,423	2366.4	− 2436	−69.6	× 111 / 460	−16.8
4	15,424	2428.7	− 2485	−56.3	× 118 / 460	−14.4
5	15,425	2429.7	− 2528	−98.3	× 112 / 460	−23.9
6	15,426	2429.4	− 2552	−122.6	× 119 / 460	−31.7
Sum, rounded to a whole point						−87

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	15,374	2358.0	− 2436	−78	× 107 / 439	−19
4	15,375	2422.3	− 2485	−62.7	× 114 / 439	−16.3
5	15,376	2456.1	− 2528	−71.9	× 111 / 439	−18.2
6	15,377	2425.4	− 2552	−126.6	× 107 / 439	−30.9
Sum, rounded to a whole point						−84

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	15,365	2361.4	− 2436	−74.6	× 126 / 450	−20.9
4	15,366	2440.7	− 2485	−44.3	× 99 / 450	−9.7
5	15,367	2467.3	− 2528	−60.7	× 117 / 450	−15.8
6	15,368	2453.3	− 2552	−98.7	× 108 / 450	−23.7
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	15,376	2359.4	− 2436	−76.6	× 114 / 462	−18.9
4	15,377	2429.2	− 2485	−55.8	× 121 / 462	−14.6
5	15,378	2455.3	− 2528	−72.7	× 103 / 462	−16.2
6	15,379	2434.4	− 2552	−117.6	× 124 / 462	−31.6
Sum, rounded to a whole point						−81

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −62, −54, −47, −54, −49, −89, −87, −84, −70, −81 → −67.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 8 · 2016→2017: 7 · 2017→2018: 7 · 2018→2019: 5 · 2019→2022: 40 · 2022→2023: 2 · 2023→2024: 3 · 2024→2025: 14 · 2025→2026: 11 → average 10.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.8 × 2.66 = 28.7. Upper limit −39, lower limit −96.4.

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.