Sierra 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.

All students

6th The average 6th grader scores 54 points under the grade 3 bar. 2382 vs. 2436. The 6th-grade bar is 2552.
7th The average 7th grader scores 13 points under the grade 3 bar. 2423 vs. 2436. The 7th-grade bar is 2567.
8th The average 8th grader scores 38 points under the grade 4 bar. 2447 vs. 2485. The 8th-grade bar is 2586.

Students fluent in English

Math with English out of the way. Includes students who have only ever spoken English.

Grade bars 6th 89 students 37 points under the grade 3 bar. 7th 215 students 42 points under the grade 4 bar. 8th 219 students 17 points under the grade 4 bar.

English learners

Students leave this group as they become fluent, so its average stays low even where they learn well.

Grade bars 6th 32 students 101 points under the grade 3 bar. 7th 81 students 65 points under the grade 3 bar. 8th 60 students 65 points under the grade 3 bar.

the group's average that grade's own bar the distance between

2026 results. "Meets standard" is the state's mark for being on track for that grade. The state leaves out any group of ten students or fewer, so a grade may be missing from the charts.

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
6	16,092	2417.0	− 2552	−135	× 169 / 855	−26.7
7	16,093	2434.7	− 2567	−132.3	× 351 / 855	−54.3
8	16,096	2460.8	− 2586	−125.2	× 335 / 855	−49.1
Sum, rounded to a whole point						−130

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	15,112	2433.1	− 2552	−118.9	× 183 / 847	−25.7
7	15,115	2435.8	− 2567	−131.2	× 319 / 847	−49.4
8	15,117	2465.5	− 2586	−120.5	× 345 / 847	−49.1
Sum, rounded to a whole point						−124

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	15,429	2444.6	− 2552	−107.4	× 191 / 871	−23.6
7	15,432	2441.9	− 2567	−125.1	× 370 / 871	−53.1
8	15,433	2440.5	− 2586	−145.5	× 310 / 871	−51.8
Sum, rounded to a whole point						−128

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	15,450	2458.2	− 2552	−93.8	× 193 / 941	−19.2
7	15,452	2454.6	− 2567	−112.4	× 365 / 941	−43.6
8	15,454	2446.6	− 2586	−139.4	× 383 / 941	−56.7
Sum, rounded to a whole point						−120

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	15,564	2435.5	− 2552	−116.5	× 172 / 905	−22.1
7	15,565	2445.9	− 2567	−121.1	× 386 / 905	−51.7
8	15,566	2458.0	− 2586	−128	× 347 / 905	−49.1
Sum, rounded to a whole point						−123

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	15,598	2407.1	− 2552	−144.9	× 139 / 805	−25
7	15,599	2420.6	− 2567	−146.4	× 311 / 805	−56.6
8	15,600	2417.5	− 2586	−168.5	× 355 / 805	−74.3
Sum, rounded to a whole point						−156

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	15,550	2426.0	− 2552	−126	× 121 / 727	−21
7	15,551	2436.3	− 2567	−130.7	× 304 / 727	−54.7
8	15,552	2423.4	− 2586	−162.6	× 302 / 727	−67.5
Sum, rounded to a whole point						−143

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	15,503	2398.9	− 2552	−153.1	× 120 / 722	−25.4
7	15,504	2427.6	− 2567	−139.4	× 305 / 722	−58.9
8	15,505	2435.2	− 2586	−150.8	× 297 / 722	−62
Sum, rounded to a whole point						−146

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	15,492	2399.5	− 2552	−152.5	× 134 / 698	−29.3
7	15,493	2431.9	− 2567	−135.1	× 268 / 698	−51.9
8	15,494	2438.2	− 2586	−147.8	× 296 / 698	−62.7
Sum, rounded to a whole point						−144

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	15,501	2381.7	− 2552	−170.3	× 121 / 696	−29.6
7	15,502	2423.2	− 2567	−143.8	× 296 / 696	−61.2
8	15,503	2447.0	− 2586	−139	× 279 / 696	−55.7
Sum, rounded to a whole point						−146

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −130, −124, −128, −120, −123, −156, −143, −146, −144, −146 → −136
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 6 · 2016→2017: 4 · 2017→2018: 8 · 2018→2019: 3 · 2019→2022: 33 · 2022→2023: 13 · 2023→2024: 3 · 2024→2025: 2 · 2025→2026: 2 → average 8.2
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8.2 × 2.66 = 21.8. Upper limit −114.2, lower limit −157.8.

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.