Journey: 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 18 points under the grade 3 bar. 2418 vs. 2436.
4th The average 4th grader scores 30 points under the grade 4 bar. 2455 vs. 2485.
5th The average 5th grader scores 24 points under the grade 5 bar. 2504 vs. 2528.
6th The average 6th grader scores 14 points under the grade 5 bar. 2514 vs. 2528. The 6th-grade bar is 2552.
7th The average 7th grader meets the grade 7 bar. 2576 vs. 2567.
8th The average 8th grader meets the grade 8 bar. 2629 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	48,872	2428.1	− 2436	−7.9	× 48 / 182	−2.1
4	48,875	2465.7	− 2485	−19.3	× 45 / 182	−4.8
5	48,876	2490.8	− 2528	−37.2	× 23 / 182	−4.7
6	48,879	2524.0	− 2552	−28	× 22 / 182	−3.4
7	48,880	2524.2	− 2567	−42.8	× 25 / 182	−5.9
8	48,883	2617.5	− 2586	31.5	× 19 / 182	3.3
Sum, rounded to a whole point						−18

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	45,465	2434.3	− 2436	−1.7	× 44 / 214	−0.3
4	45,468	2484.7	− 2485	−0.3	× 48 / 214	−0.1
5	45,470	2493.9	− 2528	−34.1	× 51 / 214	−8.1
6	45,471	2489.9	− 2552	−62.1	× 25 / 214	−7.3
7	45,473	2572.3	− 2567	5.3	× 23 / 214	0.6
8	45,476	2582.9	− 2586	−3.1	× 23 / 214	−0.3
Sum, rounded to a whole point						−16

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,676	2412.0	− 2436	−24	× 49 / 235	−5
4	46,678	2489.9	− 2485	4.9	× 50 / 235	1
5	46,680	2485.8	− 2528	−42.2	× 51 / 235	−9.2
6	46,682	2507.9	− 2552	−44.1	× 46 / 235	−8.6
7	46,683	2642.3	− 2567	75.3	× 17 / 235	5.4
8	46,685	2619.9	− 2586	33.9	× 22 / 235	3.2
Sum, rounded to a whole point						−13

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,685	2380.4	− 2436	−55.6	× 56 / 272	−11.4
4	46,687	2468.2	− 2485	−16.8	× 53 / 272	−3.3
5	46,689	2485.7	− 2528	−42.3	× 51 / 272	−7.9
6	46,691	2499.5	− 2552	−52.5	× 51 / 272	−9.8
7	46,693	2547.5	− 2567	−19.5	× 48 / 272	−3.4
8	46,695	2661.0	− 2586	75	× 13 / 272	3.6
Sum, rounded to a whole point						−32

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,871	2438.1	− 2436	2.1	× 61 / 308	0.4
4	46,872	2461.9	− 2485	−23.1	× 59 / 308	−4.4
5	46,873	2493.5	− 2528	−34.5	× 54 / 308	−6
6	46,874	2531.3	− 2552	−20.7	× 50 / 308	−3.4
7	46,875	2543.1	− 2567	−23.9	× 41 / 308	−3.2
8	46,876	2588.3	− 2586	2.3	× 43 / 308	0.3
Sum, rounded to a whole point						−16

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	45,554	2432.5	− 2436	−3.5	× 51 / 258	−0.7
4	45,555	2465.5	− 2485	−19.5	× 39 / 258	−2.9
5	45,556	2511.8	− 2528	−16.2	× 49 / 258	−3.1
6	45,557	2536.4	− 2552	−15.6	× 40 / 258	−2.4
7	45,558	2581.9	− 2567	14.9	× 42 / 258	2.4
8	45,559	2580.9	− 2586	−5.1	× 37 / 258	−0.7
Sum, rounded to a whole point						−7

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,707	2443.5	− 2436	7.5	× 50 / 286	1.3
4	46,708	2508.2	− 2485	23.2	× 56 / 286	4.5
5	46,709	2481.6	− 2528	−46.4	× 44 / 286	−7.1
6	46,710	2562.7	− 2552	10.7	× 55 / 286	2.1
7	46,711	2559.7	− 2567	−7.3	× 40 / 286	−1
8	46,712	2609.0	− 2586	23	× 41 / 286	3.3
Sum, rounded to a whole point						3

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,697	2387.8	− 2436	−48.2	× 57 / 311	−8.8
4	46,698	2489.9	− 2485	4.9	× 60 / 311	0.9
5	46,699	2518.3	− 2528	−9.7	× 57 / 311	−1.8
6	46,700	2518.0	− 2552	−34	× 49 / 311	−5.4
7	46,701	2578.9	− 2567	11.9	× 49 / 311	1.9
8	46,702	2573.0	− 2586	−13	× 39 / 311	−1.6
Sum, rounded to a whole point						−15

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,550	2412.4	− 2436	−23.6	× 65 / 330	−4.6
4	46,551	2423.6	− 2485	−61.4	× 56 / 330	−10.4
5	46,552	2523.1	− 2528	−4.9	× 56 / 330	−0.8
6	46,553	2574.7	− 2552	22.7	× 52 / 330	3.6
7	46,554	2558.5	− 2567	−8.5	× 54 / 330	−1.4
8	46,555	2600.2	− 2586	14.2	× 47 / 330	2
Sum, rounded to a whole point						−12

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,310	2408.0	− 2436	−28	× 65 / 340	−5.4
4	46,311	2459.0	− 2485	−26	× 61 / 340	−4.7
5	46,312	2459.3	− 2528	−68.7	× 56 / 340	−11.3
6	46,313	2547.7	− 2552	−4.3	× 56 / 340	−0.7
7	46,314	2595.1	− 2567	28.1	× 49 / 340	4
8	46,315	2604.8	− 2586	18.8	× 53 / 340	2.9
Sum, rounded to a whole point						−15

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,182	2417.7	− 2436	−18.3	× 63 / 327	−3.5
4	46,183	2454.9	− 2485	−30.1	× 61 / 327	−5.6
5	46,184	2503.8	− 2528	−24.2	× 60 / 327	−4.4
6	46,185	2514.3	− 2552	−37.7	× 47 / 327	−5.4
7	46,186	2576.3	− 2567	9.3	× 50 / 327	1.4
8	46,187	2628.9	− 2586	42.9	× 46 / 327	6
Sum, rounded to a whole point						−12

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −18, −16, −13, −32, −16, −7, 3, −15, −12, −15, −12 → −13.9
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 2 · 2016→2017: 3 · 2017→2018: 19 · 2018→2019: 16 · 2019→2021: 9 · 2021→2022: 10 · 2022→2023: 18 · 2023→2024: 3 · 2024→2025: 3 · 2025→2026: 3 → average 8.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8.6 × 2.66 = 22.9. Upper limit 9, lower limit −36.8.

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.