Heron: math · Schoolio

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 8.

3rd The average 3rd grader scores 14 points under the grade 3 bar. 2422 vs. 2436.
4th The average 4th grader scores 14 points under the grade 4 bar. 2471 vs. 2485.
5th The average 5th grader scores 28 points under the grade 5 bar. 2500 vs. 2528.
6th The average 6th grader scores just under the grade 5 bar. 2521 vs. 2528. The 6th-grade bar is 2552.
7th The average 7th grader scores 14 points under the grade 6 bar. 2538 vs. 2552. The 7th-grade bar is 2567.
8th The average 8th grader meets the grade 8 bar. 2594 vs. 2586.

2026 results. "Meets standard" is the state's mark for being on track for that grade.

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	62,940	2443.3	− 2436	7.3	× 116 / 666	1.3
4	62,943	2472.3	− 2485	−12.7	× 126 / 666	−2.4
5	62,944	2507.0	− 2528	−21	× 127 / 666	−4
6	62,947	2531.6	− 2552	−20.4	× 105 / 666	−3.2
7	62,948	2553.7	− 2567	−13.3	× 95 / 666	−1.9
8	62,951	2541.4	− 2586	−44.6	× 97 / 666	−6.5
Sum, rounded to a whole point						−17

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	58,382	2452.6	− 2436	16.6	× 129 / 644	3.3
4	58,383	2478.3	− 2485	−6.7	× 114 / 644	−1.2
5	58,385	2499.8	− 2528	−28.2	× 127 / 644	−5.6
6	58,388	2528.1	− 2552	−23.9	× 99 / 644	−3.7
7	58,390	2545.7	− 2567	−21.3	× 91 / 644	−3
8	58,392	2573.8	− 2586	−12.2	× 84 / 644	−1.6
Sum, rounded to a whole point						−12

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,075	2439.8	− 2436	3.8	× 117 / 678	0.7
4	60,077	2492.2	− 2485	7.2	× 133 / 678	1.4
5	60,079	2498.1	− 2528	−29.9	× 121 / 678	−5.3
6	60,080	2523.0	− 2552	−29	× 115 / 678	−4.9
7	60,083	2528.1	− 2567	−38.9	× 99 / 678	−5.7
8	60,084	2555.2	− 2586	−30.8	× 93 / 678	−4.2
Sum, rounded to a whole point						−18

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,189	2465.7	− 2436	29.7	× 102 / 686	4.4
4	60,192	2491.6	− 2485	6.6	× 115 / 686	1.1
5	60,193	2532.0	− 2528	4	× 135 / 686	0.8
6	60,196	2553.7	− 2552	1.7	× 116 / 686	0.3
7	60,197	2552.2	− 2567	−14.8	× 117 / 686	−2.5
8	60,200	2573.1	− 2586	−12.9	× 101 / 686	−1.9
Sum, rounded to a whole point						2

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,439	2482.2	− 2436	46.2	× 93 / 689	6.2
4	60,440	2499.2	− 2485	14.2	× 107 / 689	2.2
5	60,441	2526.7	− 2528	−1.3	× 124 / 689	−0.2
6	60,442	2559.4	− 2552	7.4	× 124 / 689	1.3
7	60,443	2557.9	− 2567	−9.1	× 121 / 689	−1.6
8	60,444	2563.9	− 2586	−22.1	× 120 / 689	−3.8
Sum, rounded to a whole point						4

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,509	2442.6	− 2436	6.6	× 103 / 650	1
4	60,510	2482.5	− 2485	−2.5	× 116 / 650	−0.4
5	60,511	2506.3	− 2528	−21.7	× 113 / 650	−3.8
6	60,512	2541.7	− 2552	−10.3	× 101 / 650	−1.6
7	60,513	2524.5	− 2567	−42.5	× 115 / 650	−7.5
8	60,514	2537.1	− 2586	−48.9	× 102 / 650	−7.7
Sum, rounded to a whole point						−20

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,460	2439.3	− 2436	3.3	× 103 / 697	0.5
4	60,461	2466.8	− 2485	−18.2	× 117 / 697	−3.1
5	60,462	2519.6	− 2528	−8.4	× 126 / 697	−1.5
6	60,463	2511.9	− 2552	−40.1	× 113 / 697	−6.5
7	60,464	2504.5	− 2567	−62.5	× 114 / 697	−10.2
8	60,465	2528.8	− 2586	−57.2	× 124 / 697	−10.2
Sum, rounded to a whole point						−31

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,405	2433.9	− 2436	−2.1	× 90 / 656	−0.3
4	60,406	2477.0	− 2485	−8	× 114 / 656	−1.4
5	60,407	2520.2	− 2528	−7.8	× 116 / 656	−1.4
6	60,408	2559.3	− 2552	7.3	× 121 / 656	1.3
7	60,409	2520.7	− 2567	−46.3	× 105 / 656	−7.4
8	60,410	2536.8	− 2586	−49.2	× 110 / 656	−8.3
Sum, rounded to a whole point						−17

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,164	2444.7	− 2436	8.7	× 98 / 631	1.4
4	60,165	2476.5	− 2485	−8.5	× 99 / 631	−1.3
5	60,166	2518.3	− 2528	−9.7	× 113 / 631	−1.7
6	60,167	2545.3	− 2552	−6.7	× 103 / 631	−1.1
7	60,168	2559.1	− 2567	−7.9	× 117 / 631	−1.5
8	60,169	2532.8	− 2586	−53.2	× 101 / 631	−8.5
Sum, rounded to a whole point						−13

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,091	2422.3	− 2436	−13.7	× 100 / 649	−2.1
4	60,092	2470.7	− 2485	−14.3	× 116 / 649	−2.6
5	60,093	2499.6	− 2528	−28.4	× 111 / 649	−4.9
6	60,094	2521.2	− 2552	−30.8	× 107 / 649	−5.1
7	60,095	2538.2	− 2567	−28.8	× 101 / 649	−4.5
8	60,096	2594.2	− 2586	8.2	× 114 / 649	1.4
Sum, rounded to a whole point						−18

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −17, −12, −18, 2, 4, −20, −31, −17, −13, −18 → −14
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 5 · 2016→2017: 6 · 2017→2018: 20 · 2018→2019: 2 · 2019→2022: 24 · 2022→2023: 11 · 2023→2024: 14 · 2024→2025: 4 · 2025→2026: 5 → average 10.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.1 × 2.66 = 26.9. Upper limit 12.9, lower limit −40.9.

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.