Madrone High Continuation: 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 4 bar

The state's math test uses one scale for every grade, so a score means the same thing in grade 3 as in grade 11.

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, 15 of the 27 students who took the math test were English learners.

All students

11th The average 11th grader scores 44 points under the grade 4 bar. 2441 vs. 2485. The 11th-grade bar is 2628.

Students fluent in English

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

Grade bars 11th 12 students 37 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 11th 15 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
11	42,603	2433.3	− 2628	−194.7	× 22 / 22	−194.7
Sum, rounded to a whole point						−195

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	39,354	2413.7	− 2628	−214.3	× 19 / 19	−214.3
Sum, rounded to a whole point						−214

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	40,361	2432.2	− 2628	−195.8	× 24 / 24	−195.8
Sum, rounded to a whole point						−196

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	40,378	2432.0	− 2628	−196	× 27 / 27	−196
Sum, rounded to a whole point						−196

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	40,525	2418.1	− 2628	−209.9	× 21 / 21	−209.9
Sum, rounded to a whole point						−210

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	39,456	2474.5	− 2628	−153.5	× 11 / 11	−153.5
Sum, rounded to a whole point						−154

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	40,294	2426.0	− 2628	−202	× 41 / 41	−202
Sum, rounded to a whole point						−202

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	40,343	2397.3	− 2628	−230.7	× 50 / 50	−230.7
Sum, rounded to a whole point						−231

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	40,162	2405.3	− 2628	−222.7	× 80 / 80	−222.7
Sum, rounded to a whole point						−223

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	39,941	2380.0	− 2628	−248	× 45 / 45	−248
Sum, rounded to a whole point						−248

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	39,845	2441.2	− 2628	−186.8	× 27 / 27	−186.8
Sum, rounded to a whole point						−187

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −195, −214, −196, −196, −210, −154, −202, −231, −223, −248, −187 → −205.1
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 19 · 2016→2017: 18 · 2017→2018: 0 · 2018→2019: 14 · 2019→2021: 56 · 2021→2022: 48 · 2022→2023: 29 · 2023→2024: 8 · 2024→2025: 25 · 2025→2026: 61 → average 27.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 27.8 × 2.66 = 73.9. Upper limit −131.2, lower limit −279.

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.