Sequoia Middle: 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 33 points under the grade 4 bar. 2452 vs. 2485. The 6th-grade bar is 2552.
7th The average 7th grader scores 13 points under the grade 4 bar. 2473 vs. 2485. The 7th-grade bar is 2567.
8th The average 8th grader scores 17 points under the grade 6 bar. 2536 vs. 2552. 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	91,463	2477.9	− 2485	−7.1	× 22 / 752	−0.2
5	91,466	2496.6	− 2528	−31.4	× 38 / 752	−1.6
6	91,467	2493.9	− 2552	−58.1	× 226 / 752	−17.5
7	91,470	2515.5	− 2567	−51.5	× 216 / 752	−14.8
8	91,471	2556.0	− 2586	−30	× 250 / 752	−10
Sum, rounded to a whole point						−44

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	84,938	2518.2	− 2485	33.2	× 25 / 707	1.2
5	84,940	2524.6	− 2528	−3.4	× 30 / 707	−0.1
6	84,941	2496.0	− 2552	−56	× 197 / 707	−15.6
7	84,944	2529.0	− 2567	−38	× 233 / 707	−12.5
8	84,945	2534.5	− 2586	−51.5	× 222 / 707	−16.2
Sum, rounded to a whole point						−43

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	87,290	2482.3	− 2485	−2.7	× 16 / 658	−0.1
5	87,291	2543.5	− 2528	15.5	× 39 / 658	0.9
6	87,293	2507.9	− 2552	−44.1	× 172 / 658	−11.5
7	87,295	2554.4	− 2567	−12.6	× 191 / 658	−3.7
8	87,297	2557.2	− 2586	−28.8	× 240 / 658	−10.5
Sum, rounded to a whole point						−25

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	87,546	2558.3	− 2528	30.3	× 25 / 615	1.2
6	87,547	2506.3	− 2552	−45.7	× 216 / 615	−16.1
7	87,550	2542.2	− 2567	−24.8	× 169 / 615	−6.8
8	87,551	2553.2	− 2586	−32.8	× 205 / 615	−10.9
Sum, rounded to a whole point						−33

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	88,183	2503.2	− 2552	−48.8	× 160 / 513	−15.2
7	88,184	2540.5	− 2567	−26.5	× 195 / 513	−10.1
8	88,185	2550.8	− 2586	−35.2	× 158 / 513	−10.8
Sum, rounded to a whole point						−36

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	86,457	2480.5	− 2552	−71.5	× 116 / 410	−20.2
7	86,458	2500.1	− 2567	−66.9	× 141 / 410	−23
8	86,459	2528.6	− 2586	−57.4	× 153 / 410	−21.4
Sum, rounded to a whole point						−65

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	88,520	2469.5	− 2552	−82.5	× 137 / 401	−28.2
7	88,521	2483.7	− 2567	−83.3	× 125 / 401	−26
8	88,522	2491.8	− 2586	−94.2	× 139 / 401	−32.7
Sum, rounded to a whole point						−87

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	88,425	2473.3	− 2552	−78.7	× 139 / 399	−27.4
7	88,426	2491.1	− 2567	−75.9	× 136 / 399	−25.9
8	88,427	2495.4	− 2586	−90.6	× 124 / 399	−28.2
Sum, rounded to a whole point						−81

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	88,398	2477.4	− 2552	−74.6	× 137 / 401	−25.5
7	88,399	2484.5	− 2567	−82.5	× 126 / 401	−25.9
8	88,400	2474.0	− 2586	−112	× 138 / 401	−38.5
Sum, rounded to a whole point						−90

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	88,092	2462.0	− 2552	−90	× 144 / 426	−30.4
7	88,093	2496.7	− 2567	−70.3	× 140 / 426	−23.1
8	88,094	2516.6	− 2586	−69.4	× 142 / 426	−23.1
Sum, rounded to a whole point						−77

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	87,791	2451.8	− 2552	−100.2	× 176 / 468	−37.7
7	87,792	2472.5	− 2567	−94.5	× 140 / 468	−28.3
8	87,793	2535.5	− 2586	−50.5	× 152 / 468	−16.4
Sum, rounded to a whole point						−82

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −44, −43, −25, −33, −36, −65, −87, −81, −90, −77, −82 → −60.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 1 · 2016→2017: 18 · 2017→2018: 8 · 2018→2019: 3 · 2019→2021: 29 · 2021→2022: 22 · 2022→2023: 6 · 2023→2024: 9 · 2024→2025: 13 · 2025→2026: 5 → average 11.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 11.4 × 2.66 = 30.3. Upper limit −30, lower limit −90.6.

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.