Cave Language Academy: 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

3rd The average 3rd grader scores 27 points under the grade 3 bar. 2409 vs. 2436.
4th The average 4th grader scores just under the grade 4 bar. 2477 vs. 2485.
5th The average 5th grader scores just under the grade 4 bar. 2478 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores just under the grade 5 bar. 2528 vs. 2528. The 6th-grade bar is 2552.
7th The average 7th grader scores 23 points under the grade 6 bar. 2529 vs. 2552. The 7th-grade bar is 2567.
8th The average 8th grader scores just under the grade 6 bar. 2550 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 3rd 44 students 14 points under the grade 3 bar.

English learners

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

Grade bars 3rd 13 students 71 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
3	93,589	2393.9	− 2436	−42.1	× 53 / 92	−24.3
4	93,590	2443.2	− 2485	−41.8	× 39 / 92	−17.7
Sum, rounded to a whole point						−42

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	86,964	2428.5	− 2436	−7.5	× 39 / 120	−2.4
4	86,966	2440.5	− 2485	−44.5	× 47 / 120	−17.4
5	86,968	2475.2	− 2528	−52.8	× 34 / 120	−15
Sum, rounded to a whole point						−35

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,425	2439.2	− 2436	3.2	× 48 / 157	1
4	89,426	2451.7	− 2485	−33.3	× 35 / 157	−7.4
5	89,429	2477.8	− 2528	−50.2	× 45 / 157	−14.4
6	89,430	2501.4	− 2552	−50.6	× 29 / 157	−9.3
Sum, rounded to a whole point						−30

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,633	2400.1	− 2436	−35.9	× 33 / 177	−6.7
4	89,636	2453.6	− 2485	−31.4	× 45 / 177	−8
5	89,637	2441.9	− 2528	−86.1	× 36 / 177	−17.5
6	89,640	2508.8	− 2552	−43.2	× 38 / 177	−9.3
7	89,641	2538.8	− 2567	−28.2	× 25 / 177	−4
Sum, rounded to a whole point						−45

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,258	2462.0	− 2436	26	× 38 / 200	4.9
4	90,259	2454.7	− 2485	−30.3	× 35 / 200	−5.3
5	90,260	2463.0	− 2528	−65	× 46 / 200	−15
6	90,261	2473.7	− 2552	−78.3	× 25 / 200	−9.8
7	90,262	2511.7	− 2567	−55.3	× 32 / 200	−8.8
8	90,263	2534.2	− 2586	−51.8	× 24 / 200	−6.2
Sum, rounded to a whole point						−40

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,518	2440.2	− 2436	4.2	× 46 / 187	1
4	90,519	2476.6	− 2485	−8.4	× 36 / 187	−1.6
5	90,520	2434.1	− 2528	−93.9	× 34 / 187	−17.1
6	90,521	2524.4	− 2552	−27.6	× 24 / 187	−3.5
7	90,522	2494.8	− 2567	−72.2	× 22 / 187	−8.5
8	90,523	2497.5	− 2586	−88.5	× 25 / 187	−11.8
Sum, rounded to a whole point						−42

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,412	2442.1	− 2436	6.1	× 51 / 206	1.5
4	90,413	2464.5	− 2485	−20.5	× 44 / 206	−4.4
5	90,414	2522.4	− 2528	−5.6	× 35 / 206	−1
6	90,415	2452.5	− 2552	−99.5	× 33 / 206	−15.9
7	90,416	2558.5	− 2567	−8.5	× 22 / 206	−0.9
8	90,417	2534.6	− 2586	−51.4	× 21 / 206	−5.2
Sum, rounded to a whole point						−26

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,357	2443.9	− 2436	7.9	× 55 / 234	1.9
4	90,358	2487.2	− 2485	2.2	× 49 / 234	0.5
5	90,359	2484.4	− 2528	−43.6	× 45 / 234	−8.4
6	90,360	2515.7	− 2552	−36.3	× 31 / 234	−4.8
7	90,361	2481.8	− 2567	−85.2	× 31 / 234	−11.3
8	90,362	2570.2	− 2586	−15.8	× 23 / 234	−1.6
Sum, rounded to a whole point						−24

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,039	2433.9	− 2436	−2.1	× 48 / 241	−0.4
4	90,040	2475.7	− 2485	−9.3	× 54 / 241	−2.1
5	90,041	2497.9	− 2528	−30.1	× 46 / 241	−5.7
6	90,042	2513.3	− 2552	−38.7	× 35 / 241	−5.6
7	90,043	2529.2	− 2567	−37.8	× 28 / 241	−4.4
8	90,044	2482.9	− 2586	−103.1	× 30 / 241	−12.8
Sum, rounded to a whole point						−31

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,734	2409.2	− 2436	−26.8	× 57 / 259	−5.9
4	89,735	2476.9	− 2485	−8.1	× 50 / 259	−1.6
5	89,736	2477.9	− 2528	−50.1	× 51 / 259	−9.9
6	89,737	2527.7	− 2552	−24.3	× 42 / 259	−3.9
7	89,738	2528.9	− 2567	−38.1	× 33 / 259	−4.9
8	89,739	2549.6	− 2586	−36.4	× 26 / 259	−3.7
Sum, rounded to a whole point						−30

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −42, −35, −30, −45, −40, −42, −26, −24, −31, −30 → −34.5
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 7 · 2016→2017: 5 · 2017→2018: 15 · 2018→2019: 5 · 2019→2022: 2 · 2022→2023: 16 · 2023→2024: 2 · 2024→2025: 7 · 2025→2026: 1 → average 6.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 6.7 × 2.66 = 17.8. Upper limit −16.7, lower limit −52.3.

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.