Pleasant Grove 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 19 points under the grade 6 bar. 2533 vs. 2552.
7th The average 7th grader scores 22 points under the grade 6 bar. 2530 vs. 2552. The 7th-grade bar is 2567.
8th The average 8th grader scores 10 points under the grade 7 bar. 2557 vs. 2567. 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
6	9,341	2543.3	− 2552	−8.7	× 183 / 566	−2.8
7	9,342	2560.5	− 2567	−6.5	× 182 / 566	−2.1
8	9,345	2572.7	− 2586	−13.3	× 201 / 566	−4.7
Sum, rounded to a whole point						−10

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	8,402	2552.0	− 2552	0	× 204 / 593	0
7	8,405	2544.3	− 2567	−22.7	× 189 / 593	−7.2
8	8,407	2581.5	− 2586	−4.5	× 200 / 593	−1.5
Sum, rounded to a whole point						−9

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	8,690	2532.4	− 2552	−19.6	× 151 / 540	−5.5
7	8,692	2560.4	− 2567	−6.6	× 201 / 540	−2.5
8	8,694	2550.4	− 2586	−35.6	× 188 / 540	−12.4
Sum, rounded to a whole point						−20

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	8,712	2554.0	− 2552	2	× 185 / 534	0.7
7	8,715	2562.2	− 2567	−4.8	× 153 / 534	−1.4
8	8,716	2583.8	− 2586	−2.2	× 196 / 534	−0.8
Sum, rounded to a whole point						−1

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	8,770	2540.4	− 2552	−11.6	× 156 / 497	−3.6
7	8,771	2567.7	− 2567	0.7	× 182 / 497	0.3
8	8,772	2579.8	− 2586	−6.2	× 159 / 497	−2
Sum, rounded to a whole point						−5

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	8,598	2550.8	− 2552	−1.2	× 173 / 487	−0.4
7	8,599	2546.8	− 2567	−20.2	× 162 / 487	−6.7
8	8,600	2575.3	− 2586	−10.7	× 152 / 487	−3.3
Sum, rounded to a whole point						−10

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	8,719	2522.6	− 2552	−29.4	× 139 / 464	−8.8
7	8,720	2557.9	− 2567	−9.1	× 163 / 464	−3.2
8	8,721	2548.0	− 2586	−38	× 162 / 464	−13.3
Sum, rounded to a whole point						−25

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	8,697	2522.1	− 2552	−29.9	× 154 / 462	−10
7	8,698	2542.0	− 2567	−25	× 138 / 462	−7.5
8	8,699	2559.5	− 2586	−26.5	× 170 / 462	−9.8
Sum, rounded to a whole point						−27

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	8,643	2533.1	− 2552	−18.9	× 140 / 438	−6
7	8,644	2535.5	− 2567	−31.5	× 153 / 438	−11
8	8,645	2541.4	− 2586	−44.6	× 145 / 438	−14.8
Sum, rounded to a whole point						−32

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	8,606	2519.7	− 2552	−32.3	× 140 / 431	−10.5
7	8,607	2546.4	− 2567	−20.6	× 146 / 431	−7
8	8,608	2548.9	− 2586	−37.1	× 145 / 431	−12.5
Sum, rounded to a whole point						−30

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	8,628	2533.3	− 2552	−18.7	× 140 / 437	−6
7	8,629	2529.8	− 2567	−37.2	× 145 / 437	−12.3
8	8,630	2556.7	− 2586	−29.3	× 152 / 437	−10.2
Sum, rounded to a whole point						−29

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −10, −9, −20, −1, −5, −10, −25, −27, −32, −30, −29 → −18
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: 11 · 2017→2018: 19 · 2018→2019: 4 · 2019→2021: 5 · 2021→2022: 15 · 2022→2023: 2 · 2023→2024: 5 · 2024→2025: 2 · 2025→2026: 1 → average 6.5
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 6.5 × 2.66 = 17.3. Upper limit −0.7, lower limit −35.3.

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.