Troth Street 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, 118 of the 309 students who took the math test were English learners.

All students

3rd The average 3rd grader scores 59 points under the grade 3 bar. 2377 vs. 2436.
4th The average 4th grader scores 30 points under the grade 3 bar. 2406 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 27 points under the grade 4 bar. 2458 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores 10 points under the grade 4 bar. 2475 vs. 2485. 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 41 students 36 points under the grade 3 bar. 4th 46 students 10 points under the grade 3 bar. 5th 55 students 41 points under the grade 5 bar. 6th 49 students 23 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 25 students 98 points under the grade 3 bar. 4th 31 students 59 points under the grade 3 bar. 5th 35 students 24 points under the grade 3 bar. 6th 27 students 15 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	56,797	2386.7	− 2436	−49.3	× 113 / 486	−11.5
4	56,798	2424.0	− 2485	−61	× 126 / 486	−15.8
5	56,801	2428.6	− 2528	−99.4	× 122 / 486	−25
6	56,802	2458.2	− 2552	−93.8	× 125 / 486	−24.1
Sum, rounded to a whole point						−76

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	52,740	2373.4	− 2436	−62.6	× 102 / 463	−13.8
4	52,742	2425.6	− 2485	−59.4	× 115 / 463	−14.8
5	52,743	2449.6	− 2528	−78.4	× 132 / 463	−22.4
6	52,746	2446.0	− 2552	−106	× 114 / 463	−26.1
Sum, rounded to a whole point						−77

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	54,259	2387.1	− 2436	−48.9	× 94 / 441	−10.4
4	54,260	2404.6	− 2485	−80.4	× 102 / 441	−18.6
5	54,262	2466.0	− 2528	−62	× 106 / 441	−14.9
6	54,264	2469.4	− 2552	−82.6	× 139 / 441	−26
Sum, rounded to a whole point						−70

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	54,372	2388.9	− 2436	−47.1	× 122 / 439	−13.1
4	54,374	2415.5	− 2485	−69.5	× 99 / 439	−15.7
5	54,375	2434.1	− 2528	−93.9	× 103 / 439	−22
6	54,377	2490.7	− 2552	−61.3	× 115 / 439	−16.1
Sum, rounded to a whole point						−67

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	54,615	2395.5	− 2436	−40.5	× 113 / 432	−10.6
4	54,616	2434.8	− 2485	−50.2	× 114 / 432	−13.2
5	54,617	2431.9	− 2528	−96.1	× 99 / 432	−22
6	54,618	2468.3	− 2552	−83.7	× 106 / 432	−20.5
Sum, rounded to a whole point						−66

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	54,651	2373.9	− 2436	−62.1	× 105 / 401	−16.3
4	54,652	2412.9	− 2485	−72.1	× 87 / 401	−15.6
5	54,653	2398.9	− 2528	−129.1	× 102 / 401	−32.8
6	54,654	2472.0	− 2552	−80	× 107 / 401	−21.3
Sum, rounded to a whole point						−86

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	54,602	2383.1	− 2436	−52.9	× 77 / 373	−10.9
4	54,603	2397.3	− 2485	−87.7	× 105 / 373	−24.7
5	54,604	2432.6	− 2528	−95.4	× 90 / 373	−23
6	54,605	2468.7	− 2552	−83.3	× 101 / 373	−22.6
Sum, rounded to a whole point						−81

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	54,472	2406.3	− 2436	−29.7	× 86 / 368	−6.9
4	54,473	2406.0	− 2485	−79	× 84 / 368	−18
5	54,474	2448.1	− 2528	−79.9	× 106 / 368	−23
6	54,475	2477.9	− 2552	−74.1	× 92 / 368	−18.5
Sum, rounded to a whole point						−67

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	54,212	2366.3	− 2436	−69.7	× 76 / 353	−15
4	54,213	2425.5	− 2485	−59.5	× 91 / 353	−15.3
5	54,214	2431.5	− 2528	−96.5	× 77 / 353	−21
6	54,215	2479.5	− 2552	−72.5	× 109 / 353	−22.4
Sum, rounded to a whole point						−74

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	54,149	2376.7	− 2436	−59.3	× 66 / 309	−12.7
4	54,150	2406.1	− 2485	−78.9	× 77 / 309	−19.7
5	54,151	2458.0	− 2528	−70	× 90 / 309	−20.4
6	54,152	2475.3	− 2552	−76.7	× 76 / 309	−18.9
Sum, rounded to a whole point						−72

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −76, −77, −70, −67, −66, −86, −81, −67, −74, −72 → −73.6
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: 7 · 2017→2018: 3 · 2018→2019: 1 · 2019→2022: 20 · 2022→2023: 5 · 2023→2024: 14 · 2024→2025: 7 · 2025→2026: 2 → average 6.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 6.7 × 2.66 = 17.8. Upper limit −55.8, lower limit −91.4.

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.