Patterson 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.

All students

3rd The average 3rd grader meets the grade 3 bar. 2467 vs. 2436.
4th The average 4th grader meets the grade 4 bar. 2535 vs. 2485.
5th The average 5th grader meets the grade 5 bar. 2584 vs. 2528.

Students fluent in English

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

Grade bars 3rd 65 students Meets the grade 3 bar. 4th 90 students Meets the grade 4 bar. 5th 77 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 17 students 41 points under the grade 3 bar. 4th 19 students Just under the grade 4 bar. 5th 12 students 17 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	1,096	2456.4	− 2436	20.4	× 89 / 328	5.5
4	1,099	2485.2	− 2485	0.2	× 90 / 328	0.1
5	1,100	2546.9	− 2528	18.9	× 60 / 328	3.5
6	1,103	2552.7	− 2552	0.7	× 89 / 328	0.2
Sum, rounded to a whole point						9

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	930	2445.7	− 2436	9.7	× 89 / 328	2.6
4	933	2484.9	− 2485	−0.1	× 90 / 328	0
5	935	2515.3	− 2528	−12.7	× 90 / 328	−3.5
6	937	2570.9	− 2552	18.9	× 59 / 328	3.4
Sum, rounded to a whole point						3

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	981	2445.9	− 2436	9.9	× 109 / 376	2.9
4	982	2479.3	− 2485	−5.7	× 89 / 376	−1.3
5	984	2530.0	− 2528	2	× 89 / 376	0.5
6	986	2581.0	− 2552	29	× 89 / 376	6.9
Sum, rounded to a whole point						9

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,004	2469.8	− 2436	33.8	× 96 / 374	8.7
4	1,006	2484.5	− 2485	−0.5	× 101 / 374	−0.1
5	1,008	2526.8	− 2528	−1.2	× 89 / 374	−0.3
6	1,010	2572.9	− 2552	20.9	× 88 / 374	4.9
Sum, rounded to a whole point						13

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,033	2475.6	− 2436	39.6	× 109 / 410	10.5
4	1,034	2507.9	− 2485	22.9	× 115 / 410	6.4
5	1,035	2540.0	− 2528	12	× 96 / 410	2.8
6	1,036	2580.0	− 2552	28	× 90 / 410	6.1
Sum, rounded to a whole point						26

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,023	2491.2	− 2436	55.2	× 112 / 387	16
4	1,024	2516.0	− 2485	31	× 82 / 387	6.6
5	1,025	2575.0	− 2528	47	× 87 / 387	10.6
6	1,026	2592.1	− 2552	40.1	× 106 / 387	11
Sum, rounded to a whole point						44

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,035	2478.9	− 2436	42.9	× 82 / 371	9.5
4	1,036	2526.3	− 2485	41.3	× 111 / 371	12.4
5	1,037	2560.1	− 2528	32.1	× 88 / 371	7.6
6	1,038	2632.6	− 2552	80.6	× 90 / 371	19.6
Sum, rounded to a whole point						49

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,016	2498.5	− 2436	62.5	× 105 / 314	20.9
4	1,017	2530.3	− 2485	45.3	× 90 / 314	13
5	1,018	2567.9	− 2528	39.9	× 119 / 314	15.1
Sum, rounded to a whole point						49

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,008	2485.4	− 2436	49.4	× 108 / 288	18.5
4	1,009	2550.0	− 2485	65	× 90 / 288	20.3
5	1,010	2551.5	− 2528	23.5	× 90 / 288	7.3
Sum, rounded to a whole point						46

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,004	2467.1	− 2436	31.1	× 82 / 280	9.1
4	1,005	2535.0	− 2485	50	× 109 / 280	19.5
5	1,006	2583.7	− 2528	55.7	× 89 / 280	17.7
Sum, rounded to a whole point						46

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 9, 3, 9, 13, 26, 44, 49, 49, 46, 46 → 29.4
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: 4 · 2018→2019: 13 · 2019→2022: 18 · 2022→2023: 5 · 2023→2024: 0 · 2024→2025: 3 · 2025→2026: 0 → average 6.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 6.1 × 2.66 = 16.2. Upper limit 45.6, lower limit 13.2.

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.