Grizzly Hill: 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 8.

6th The average 6th grader scores 21 points under the grade 3 bar. 2415 vs. 2436. The 6th-grade bar is 2552.
7th The average 7th grader scores 38 points under the grade 4 bar. 2447 vs. 2485. The 7th-grade bar is 2567.
8th The average 8th grader scores just under the grade 3 bar. 2428 vs. 2436. The 8th-grade bar is 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
4	47,629	2437.7	− 2485	−47.3	× 12 / 27	−21
7	47,634	2494.5	− 2567	−72.5	× 15 / 27	−40.3
Sum, rounded to a whole point						−61

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	44,276	2436.1	− 2485	−48.9	× 11 / 39	−13.8
5	44,277	2439.5	− 2528	−88.5	× 11 / 39	−25
8	44,284	2531.1	− 2586	−54.9	× 17 / 39	−23.9
Sum, rounded to a whole point						−63

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	45,364	2432.5	− 2528	−95.5	× 11 / 11	−95.5
Sum, rounded to a whole point						−96

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	45,392	2460.2	− 2552	−91.8	× 11 / 11	−91.8
Sum, rounded to a whole point						−92

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	45,523	2423.1	− 2436	−12.9	× 12 / 12	−12.9
Sum, rounded to a whole point						−13

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	45,216	2383.3	− 2485	−101.7	× 15 / 30	−50.9
7	45,219	2483.7	− 2567	−83.3	× 15 / 30	−41.7
Sum, rounded to a whole point						−93

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	45,177	2365.0	− 2436	−71	× 12 / 51	−16.7
4	45,178	2429.4	− 2485	−55.6	× 11 / 51	−12
5	45,179	2371.9	− 2528	−156.1	× 13 / 51	−39.8
8	45,182	2458.7	− 2586	−127.3	× 15 / 51	−37.4
Sum, rounded to a whole point						−106

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	45,022	2324.1	− 2436	−111.9	× 12 / 37	−36.3
4	45,023	2431.9	− 2485	−53.1	× 14 / 37	−20.1
6	45,025	2357.7	− 2552	−194.3	× 11 / 37	−57.8
Sum, rounded to a whole point						−114

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	44,770	2405.7	− 2528	−122.3	× 16 / 16	−122.3
Sum, rounded to a whole point						−122

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	44,632	2414.9	− 2552	−137.1	× 14 / 37	−51.9
7	44,633	2446.7	− 2567	−120.3	× 11 / 37	−35.8
8	44,634	2427.6	− 2586	−158.4	× 12 / 37	−51.4
Sum, rounded to a whole point						−139

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −61, −63, −96, −92, −13, −93, −106, −114, −122, −139 → −89.9
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: 33 · 2017→2018: 4 · 2018→2019: 79 · 2019→2022: 80 · 2022→2023: 13 · 2023→2024: 8 · 2024→2025: 8 · 2025→2026: 17 → average 27.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 27.1 × 2.66 = 72.1. Upper limit −17.8, lower limit −162.

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.