Piedmont 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 15 points under the grade 5 bar. 2513 vs. 2528. The 6th-grade bar is 2552.
7th The average 7th grader scores just under the grade 6 bar. 2549 vs. 2552. The 7th-grade bar is 2567.
8th The average 8th grader scores 11 points under the grade 6 bar. 2541 vs. 2552. 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 153 students 22 points under the grade 6 bar. 7th 181 students Just under the grade 7 bar. 8th 168 students Just under the grade 7 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 Just under the grade 3 bar. 7th 26 students 46 points under the grade 4 bar. 8th 29 students 21 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	86,235	2499.7	− 2552	−52.3	× 294 / 870	−17.7
7	86,238	2548.4	− 2567	−18.6	× 278 / 870	−5.9
8	86,239	2550.4	− 2586	−35.6	× 298 / 870	−12.2
Sum, rounded to a whole point						−36

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	80,040	2512.5	− 2552	−39.5	× 267 / 835	−12.6
7	80,043	2560.5	− 2567	−6.5	× 287 / 835	−2.2
8	80,044	2573.7	− 2586	−12.3	× 281 / 835	−4.1
Sum, rounded to a whole point						−19

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	82,235	2518.8	− 2552	−33.2	× 283 / 837	−11.2
7	82,237	2544.1	− 2567	−22.9	× 270 / 837	−7.4
8	82,239	2574.7	− 2586	−11.3	× 284 / 837	−3.8
Sum, rounded to a whole point						−22

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	82,439	2510.5	− 2552	−41.5	× 255 / 809	−13.1
7	82,441	2549.8	− 2567	−17.2	× 297 / 809	−6.3
8	82,443	2553.4	− 2586	−32.6	× 257 / 809	−10.4
Sum, rounded to a whole point						−30

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	83,055	2504.9	− 2552	−47.1	× 248 / 793	−14.7
7	83,056	2545.1	− 2567	−21.9	× 249 / 793	−6.9
8	83,057	2559.1	− 2586	−26.9	× 296 / 793	−10
Sum, rounded to a whole point						−32

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	83,242	2512.1	− 2552	−39.9	× 221 / 671	−13.1
7	83,243	2541.1	− 2567	−25.9	× 210 / 671	−8.1
8	83,244	2562.2	− 2586	−23.8	× 240 / 671	−8.5
Sum, rounded to a whole point						−30

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	83,209	2502.8	− 2552	−49.2	× 192 / 625	−15.1
7	83,210	2536.9	− 2567	−30.1	× 224 / 625	−10.8
8	83,211	2563.5	− 2586	−22.5	× 209 / 625	−7.5
Sum, rounded to a whole point						−33

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	83,220	2509.1	− 2552	−42.9	× 204 / 622	−14.1
7	83,221	2535.2	− 2567	−31.8	× 195 / 622	−10
8	83,222	2549.5	− 2586	−36.5	× 223 / 622	−13.1
Sum, rounded to a whole point						−37

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	82,900	2516.9	− 2552	−35.1	× 202 / 588	−12.1
7	82,901	2537.1	− 2567	−29.9	× 195 / 588	−9.9
8	82,902	2554.2	− 2586	−31.8	× 191 / 588	−10.3
Sum, rounded to a whole point						−32

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	82,727	2513.3	− 2552	−38.7	× 185 / 589	−12.2
7	82,728	2549.2	− 2567	−17.8	× 207 / 589	−6.3
8	82,729	2540.8	− 2586	−45.2	× 197 / 589	−15.1
Sum, rounded to a whole point						−34

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −36, −19, −22, −30, −32, −30, −33, −37, −32, −34 → −30.5
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 17 · 2016→2017: 3 · 2017→2018: 8 · 2018→2019: 2 · 2019→2022: 2 · 2022→2023: 3 · 2023→2024: 4 · 2024→2025: 5 · 2025→2026: 2 → average 5.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 5.1 × 2.66 = 13.6. Upper limit −16.9, lower limit −44.1.

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.