Thomas Paine 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 meets the grade 3 bar. 2487 vs. 2436.
4th The average 4th grader meets the grade 4 bar. 2524 vs. 2485.
5th The average 5th grader meets the grade 5 bar. 2528 vs. 2528.
6th The average 6th grader meets the grade 6 bar. 2586 vs. 2552.

Students fluent in English

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

Grade bars 3rd 31 students Meets the grade 3 bar.

English learners

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

Grade bars 3rd 14 students 16 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	50,057	2446.3	− 2436	10.3	× 71 / 283	2.6
4	50,058	2463.8	− 2485	−21.2	× 65 / 283	−4.9
5	50,061	2514.2	− 2528	−13.8	× 70 / 283	−3.4
6	50,062	2549.3	− 2552	−2.7	× 77 / 283	−0.7
Sum, rounded to a whole point						−6

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,525	2456.2	− 2436	20.2	× 72 / 266	5.5
4	46,528	2533.3	− 2485	48.3	× 65 / 266	11.8
5	46,529	2527.9	− 2528	−0.1	× 64 / 266	0
6	46,531	2567.1	− 2552	15.1	× 65 / 266	3.7
Sum, rounded to a whole point						21

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,769	2433.3	− 2436	−2.7	× 54 / 264	−0.6
4	47,772	2524.5	− 2485	39.5	× 76 / 264	11.4
5	47,773	2535.6	− 2528	7.6	× 64 / 264	1.8
6	47,776	2577.8	− 2552	25.8	× 70 / 264	6.8
Sum, rounded to a whole point						20

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,774	2482.7	− 2436	46.7	× 51 / 262	9.1
4	47,776	2469.3	− 2485	−15.7	× 57 / 262	−3.4
5	47,778	2552.1	− 2528	24.1	× 80 / 262	7.4
6	47,780	2573.7	− 2552	21.7	× 74 / 262	6.1
Sum, rounded to a whole point						19

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,957	2486.1	− 2436	50.1	× 55 / 245	11.2
4	47,958	2500.9	− 2485	15.9	× 56 / 245	3.6
5	47,959	2515.2	− 2528	−12.8	× 58 / 245	−3
6	47,960	2595.1	− 2552	43.1	× 76 / 245	13.4
Sum, rounded to a whole point						25

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,817	2497.3	− 2436	61.3	× 49 / 213	14.1
4	47,818	2492.1	− 2485	7.1	× 56 / 213	1.9
5	47,819	2520.1	− 2528	−7.9	× 54 / 213	−2
6	47,820	2581.1	− 2552	29.1	× 54 / 213	7.4
Sum, rounded to a whole point						21

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,799	2496.3	− 2436	60.3	× 56 / 217	15.6
4	47,800	2502.6	− 2485	17.6	× 52 / 217	4.2
5	47,801	2539.2	− 2528	11.2	× 54 / 217	2.8
6	47,802	2604.6	− 2552	52.6	× 55 / 217	13.3
Sum, rounded to a whole point						36

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,652	2488.2	− 2436	52.2	× 58 / 222	13.6
4	47,653	2526.5	− 2485	41.5	× 53 / 222	9.9
5	47,654	2506.8	− 2528	−21.2	× 55 / 222	−5.3
6	47,655	2569.7	− 2552	17.7	× 56 / 222	4.5
Sum, rounded to a whole point						23

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,408	2501.7	− 2436	65.7	× 47 / 215	14.4
4	47,409	2504.8	− 2485	19.8	× 63 / 215	5.8
5	47,410	2552.2	− 2528	24.2	× 52 / 215	5.9
6	47,411	2562.8	− 2552	10.8	× 53 / 215	2.7
Sum, rounded to a whole point						29

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,278	2486.9	− 2436	50.9	× 45 / 205	11.2
4	47,279	2523.7	− 2485	38.7	× 46 / 205	8.7
5	47,280	2528.3	− 2528	0.3	× 62 / 205	0.1
6	47,281	2585.7	− 2552	33.7	× 52 / 205	8.5
Sum, rounded to a whole point						28

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −6, 21, 20, 19, 25, 21, 36, 23, 29, 28 → 21.6
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 27 · 2016→2017: 1 · 2017→2018: 1 · 2018→2019: 6 · 2019→2022: 4 · 2022→2023: 15 · 2023→2024: 13 · 2024→2025: 6 · 2025→2026: 1 → average 8.2
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8.2 × 2.66 = 21.8. Upper limit 43.4, lower limit −0.2.

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.