August Boeger 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.

Many students here are still learning English. The math test is written in English, with some translation help, and many of its questions are word problems. In 2026, 107 of the 325 students who took the math test were English learners.

All students

6th The average 6th grader scores 40 points under the grade 4 bar. 2445 vs. 2485. The 6th-grade bar is 2552.
7th The average 7th grader scores 18 points under the grade 4 bar. 2467 vs. 2485. The 7th-grade bar is 2567.
8th The average 8th grader scores 22 points under the grade 5 bar. 2506 vs. 2528. 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 42 students 36 points under the grade 5 bar. 7th 71 students Just under the grade 4 bar. 8th 105 students Just under the grade 5 bar.

English learners

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

Grade bars 6th 44 students 37 points under the grade 3 bar. 7th 37 students 46 points under the grade 4 bar. 8th 26 students Just 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	88,194	2427.1	− 2552	−124.9	× 184 / 599	−38.4
7	88,196	2476.9	− 2567	−90.1	× 211 / 599	−31.7
8	88,198	2482.2	− 2586	−103.8	× 204 / 599	−35.4
Sum, rounded to a whole point						−105

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	81,865	2462.4	− 2552	−89.6	× 188 / 583	−28.9
7	81,867	2470.5	− 2567	−96.5	× 179 / 583	−29.6
8	81,869	2509.7	− 2586	−76.3	× 216 / 583	−28.3
Sum, rounded to a whole point						−87

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	84,145	2461.6	− 2552	−90.4	× 183 / 561	−29.5
7	84,148	2493.1	− 2567	−73.9	× 191 / 561	−25.2
8	84,149	2482.7	− 2586	−103.3	× 187 / 561	−34.4
Sum, rounded to a whole point						−89

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	84,364	2457.9	− 2552	−94.1	× 195 / 571	−32.1
7	84,365	2504.5	− 2567	−62.5	× 188 / 571	−20.6
8	84,368	2488.7	− 2586	−97.3	× 188 / 571	−32
Sum, rounded to a whole point						−85

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	84,981	2454.6	− 2552	−97.4	× 153 / 528	−28.2
7	84,982	2491.8	− 2567	−75.2	× 195 / 528	−27.8
8	84,983	2486.3	− 2586	−99.7	× 180 / 528	−34
Sum, rounded to a whole point						−90

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	85,162	2438.5	− 2552	−113.5	× 124 / 408	−34.5
7	85,163	2464.3	− 2567	−102.7	× 133 / 408	−33.5
8	85,164	2472.4	− 2586	−113.6	× 151 / 408	−42
Sum, rounded to a whole point						−110

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	85,099	2443.5	− 2552	−108.5	× 142 / 403	−38.2
7	85,100	2463.3	− 2567	−103.7	× 124 / 403	−31.9
8	85,101	2470.7	− 2586	−115.3	× 137 / 403	−39.2
Sum, rounded to a whole point						−109

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	85,086	2453.7	− 2552	−98.3	× 132 / 383	−33.9
7	85,087	2465.9	− 2567	−101.1	× 129 / 383	−34.1
8	85,088	2465.2	− 2586	−120.8	× 122 / 383	−38.5
Sum, rounded to a whole point						−106

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	84,778	2440.9	− 2552	−111.1	× 113 / 389	−32.3
7	84,779	2480.3	− 2567	−86.7	× 136 / 389	−30.3
8	84,780	2460.0	− 2586	−126	× 140 / 389	−45.3
Sum, rounded to a whole point						−108

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	84,549	2444.7	− 2552	−107.3	× 86 / 325	−28.4
7	84,550	2466.6	− 2567	−100.4	× 108 / 325	−33.4
8	84,551	2506.1	− 2586	−79.9	× 131 / 325	−32.2
Sum, rounded to a whole point						−94

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −105, −87, −89, −85, −90, −110, −109, −106, −108, −94 → −98.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 18 · 2016→2017: 2 · 2017→2018: 4 · 2018→2019: 5 · 2019→2022: 20 · 2022→2023: 1 · 2023→2024: 3 · 2024→2025: 2 · 2025→2026: 14 → average 7.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.7 × 2.66 = 20.5. Upper limit −77.8, lower limit −118.8.

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.