Taft 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, 64 of the 201 students who took the math test were English learners.

All students

3rd The average 3rd grader scores 24 points under the grade 3 bar. 2413 vs. 2436.
4th The average 4th grader scores 49 points under the grade 4 bar. 2436 vs. 2485.
5th The average 5th grader scores 19 points under the grade 5 bar. 2509 vs. 2528.
6th The average 6th grader scores 34 points under the grade 5 bar. 2494 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 21 students Meets the grade 3 bar. 4th 32 students 17 points under the grade 4 bar. 5th 37 students Meets 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 24 students 65 points under the grade 3 bar. 4th 18 students 55 points under the grade 3 bar. 5th 13 students 29 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	51,174	2375.4	− 2436	−60.6	× 90 / 317	−17.2
4	51,176	2440.7	− 2485	−44.3	× 86 / 317	−12
5	51,178	2468.5	− 2528	−59.5	× 76 / 317	−14.3
6	51,180	2501.9	− 2552	−50.1	× 65 / 317	−10.3
Sum, rounded to a whole point						−54

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,527	2371.4	− 2436	−64.6	× 62 / 312	−12.8
4	47,529	2432.3	− 2485	−52.7	× 93 / 312	−15.7
5	47,532	2475.2	− 2528	−52.8	× 84 / 312	−14.2
6	47,534	2486.2	− 2552	−65.8	× 73 / 312	−15.4
Sum, rounded to a whole point						−58

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	48,822	2381.5	− 2436	−54.5	× 93 / 350	−14.5
4	48,823	2429.0	− 2485	−56	× 68 / 350	−10.9
5	48,826	2459.9	− 2528	−68.1	× 94 / 350	−18.3
6	48,827	2479.6	− 2552	−72.4	× 95 / 350	−19.7
Sum, rounded to a whole point						−63

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	48,844	2368.6	− 2436	−67.4	× 97 / 345	−19
4	48,846	2441.2	− 2485	−43.8	× 84 / 345	−10.7
5	48,848	2445.8	− 2528	−82.2	× 70 / 345	−16.7
6	48,850	2473.0	− 2552	−79	× 94 / 345	−21.5
Sum, rounded to a whole point						−68

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	49,043	2405.2	− 2436	−30.8	× 61 / 308	−6.1
4	49,044	2450.2	− 2485	−34.8	× 92 / 308	−10.4
5	49,045	2464.4	− 2528	−63.6	× 88 / 308	−18.2
6	49,046	2471.7	− 2552	−80.3	× 67 / 308	−17.5
Sum, rounded to a whole point						−52

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	48,953	2372.7	− 2436	−63.3	× 68 / 278	−15.5
4	48,954	2423.0	− 2485	−62	× 90 / 278	−20.1
5	48,955	2460.5	− 2528	−67.5	× 59 / 278	−14.3
6	48,956	2474.8	− 2552	−77.2	× 61 / 278	−16.9
Sum, rounded to a whole point						−67

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	48,911	2431.1	− 2436	−4.9	× 60 / 280	−1.1
4	48,912	2431.4	− 2485	−53.6	× 68 / 280	−13
5	48,913	2456.7	− 2528	−71.3	× 89 / 280	−22.7
6	48,914	2487.0	− 2552	−65	× 63 / 280	−14.6
Sum, rounded to a whole point						−51

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	48,764	2414.0	− 2436	−22	× 56 / 266	−4.6
4	48,765	2483.4	− 2485	−1.6	× 57 / 266	−0.3
5	48,766	2495.9	− 2528	−32.1	× 67 / 266	−8.1
6	48,767	2509.0	− 2552	−43	× 86 / 266	−13.9
Sum, rounded to a whole point						−27

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	48,518	2420.4	− 2436	−15.6	× 48 / 223	−3.4
4	48,519	2470.6	− 2485	−14.4	× 50 / 223	−3.2
5	48,520	2513.6	− 2528	−14.4	× 57 / 223	−3.7
6	48,521	2500.0	− 2552	−52	× 68 / 223	−15.9
Sum, rounded to a whole point						−26

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	48,375	2412.5	− 2436	−23.5	× 45 / 201	−5.3
4	48,376	2436.4	− 2485	−48.6	× 50 / 201	−12.1
5	48,377	2509.0	− 2528	−19	× 50 / 201	−4.7
6	48,378	2493.9	− 2552	−58.1	× 56 / 201	−16.2
Sum, rounded to a whole point						−38

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −54, −58, −63, −68, −52, −67, −51, −27, −26, −38 → −50.4
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 4 · 2016→2017: 5 · 2017→2018: 5 · 2018→2019: 16 · 2019→2022: 15 · 2022→2023: 16 · 2023→2024: 24 · 2024→2025: 1 · 2025→2026: 12 → average 10.9
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.9 × 2.66 = 29. Upper limit −21.4, lower limit −79.4.

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.