Horizons School: Independent Study: 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 11.

6th The average 6th grader scores 23 points under the grade 5 bar. 2505 vs. 2528. The 6th-grade bar is 2552.
7th The average 7th grader scores just under the grade 6 bar. 2546 vs. 2552. The 7th-grade bar is 2567.
8th The average 8th grader meets the grade 8 bar. 2598 vs. 2586.
11th The average 11th grader scores 18 points under the grade 6 bar. 2534 vs. 2552. The 11th-grade bar is 2628.

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
11	6,749	2573.3	− 2628	−54.7	× 15 / 15	−54.7
Sum, rounded to a whole point						−55

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	6,078	2577.6	− 2628	−50.4	× 26 / 26	−50.4
Sum, rounded to a whole point						−50

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	6,255	2574.0	− 2628	−54	× 27 / 27	−54
Sum, rounded to a whole point						−54

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	6,251	2576.3	− 2628	−51.7	× 44 / 44	−51.7
Sum, rounded to a whole point						−52

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	6,316	2592.7	− 2628	−35.3	× 40 / 40	−35.3
Sum, rounded to a whole point						−35

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	6,229	2442.9	− 2436	6.9	× 37 / 129	2
4	6,230	2460.6	− 2485	−24.4	× 31 / 129	−5.9
5	6,231	2490.6	− 2528	−37.4	× 41 / 129	−11.9
11	6,235	2527.9	− 2628	−100.1	× 20 / 129	−15.5
Sum, rounded to a whole point						−31

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	6,213	2452.6	− 2436	16.6	× 25 / 129	3.2
4	6,214	2434.4	− 2485	−50.6	× 14 / 129	−5.5
6	6,216	2497.9	− 2552	−54.1	× 23 / 129	−9.6
7	6,217	2516.4	− 2567	−50.6	× 22 / 129	−8.6
8	6,218	2489.8	− 2586	−96.2	× 13 / 129	−9.7
11	6,219	2541.2	− 2628	−86.8	× 32 / 129	−21.5
Sum, rounded to a whole point						−52

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	6,148	2383.9	− 2436	−52.1	× 11 / 103	−5.6
4	6,149	2435.1	− 2485	−49.9	× 12 / 103	−5.8
6	6,151	2476.7	− 2552	−75.3	× 21 / 103	−15.4
7	6,152	2517.6	− 2567	−49.4	× 18 / 103	−8.6
8	6,153	2485.4	− 2586	−100.6	× 22 / 103	−21.5
11	6,154	2543.9	− 2628	−84.1	× 19 / 103	−15.5
Sum, rounded to a whole point						−72

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	6,115	2486.2	− 2485	1.2	× 11 / 100	0.1
5	6,116	2442.2	− 2528	−85.8	× 11 / 100	−9.4
6	6,117	2472.4	− 2552	−79.6	× 16 / 100	−12.7
7	6,118	2602.4	− 2567	35.4	× 14 / 100	5
8	6,119	2560.1	− 2586	−25.9	× 19 / 100	−4.9
11	6,120	2544.3	− 2628	−83.7	× 29 / 100	−24.3
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
6	6,131	2505.1	− 2552	−46.9	× 15 / 81	−8.7
7	6,132	2546.4	− 2567	−20.6	× 20 / 81	−5.1
8	6,133	2597.7	− 2586	11.7	× 18 / 81	2.6
11	6,134	2533.9	− 2628	−94.1	× 28 / 81	−32.5
Sum, rounded to a whole point						−44

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −55, −50, −54, −52, −35, −31, −52, −72, −46, −44 → −49.1
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: 4 · 2017→2018: 2 · 2018→2019: 17 · 2019→2022: 4 · 2022→2023: 21 · 2023→2024: 20 · 2024→2025: 26 · 2025→2026: 2 → average 11.2
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 11.2 × 2.66 = 29.8. Upper limit −19.3, lower limit −78.9.

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.