Castle View Elementary: 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 6.

All students

3rd The average 3rd grader meets the grade 3 bar. 2449 vs. 2436.
4th The average 4th grader scores just under the grade 4 bar. 2482 vs. 2485.
5th The average 5th grader scores 17 points under the grade 5 bar. 2511 vs. 2528.
6th The average 6th grader scores just under the grade 5 bar. 2526 vs. 2528. The 6th-grade bar is 2552.

Students fluent in English

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

Grade bars 4th 74 students Meets the grade 4 bar. 5th 71 students Just under the grade 5 bar. 6th 74 students Just under the grade 6 bar.

English learners

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

Grade bars 4th 11 students 22 points under the grade 3 bar. 5th 14 students 11 points under the grade 3 bar. 6th 13 students 14 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	58,160	2434.9	− 2436	−1.1	× 95 / 284	−0.4
4	58,162	2476.3	− 2485	−8.7	× 61 / 284	−1.9
5	58,164	2507.5	− 2528	−20.5	× 62 / 284	−4.5
6	58,166	2543.9	− 2552	−8.1	× 66 / 284	−1.9
Sum, rounded to a whole point						−9

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	53,984	2439.6	− 2436	3.6	× 103 / 323	1.1
4	53,986	2456.4	− 2485	−28.6	× 94 / 323	−8.3
5	53,988	2509.2	− 2528	−18.8	× 57 / 323	−3.3
6	53,990	2535.2	− 2552	−16.8	× 69 / 323	−3.6
Sum, rounded to a whole point						−14

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,563	2407.0	− 2436	−29	× 93 / 358	−7.5
4	55,565	2454.8	− 2485	−30.2	× 107 / 358	−9
5	55,567	2463.2	− 2528	−64.8	× 92 / 358	−16.7
6	55,569	2507.1	− 2552	−44.9	× 66 / 358	−8.3
Sum, rounded to a whole point						−41

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,660	2444.3	− 2436	8.3	× 90 / 365	2
4	55,661	2448.6	− 2485	−36.4	× 93 / 365	−9.3
5	55,664	2472.1	− 2528	−55.9	× 94 / 365	−14.4
6	55,665	2518.3	− 2552	−33.7	× 88 / 365	−8.1
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
3	55,919	2436.9	− 2436	0.9	× 87 / 351	0.2
4	55,920	2478.9	− 2485	−6.1	× 82 / 351	−1.4
5	55,921	2459.8	− 2528	−68.2	× 89 / 351	−17.3
6	55,922	2523.4	− 2552	−28.6	× 93 / 351	−7.6
Sum, rounded to a whole point						−26

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,983	2436.0	− 2436	0	× 92 / 329	0
4	55,984	2464.9	− 2485	−20.1	× 84 / 329	−5.1
5	55,985	2490.9	− 2528	−37.1	× 81 / 329	−9.1
6	55,986	2520.5	− 2552	−31.5	× 72 / 329	−6.9
Sum, rounded to a whole point						−21

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,932	2429.1	− 2436	−6.9	× 93 / 372	−1.7
4	55,933	2453.6	− 2485	−31.4	× 102 / 372	−8.6
5	55,934	2495.2	− 2528	−32.8	× 80 / 372	−7.1
6	55,935	2500.1	− 2552	−51.9	× 97 / 372	−13.5
Sum, rounded to a whole point						−31

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,808	2427.0	− 2436	−9	× 87 / 344	−2.3
4	55,809	2458.4	− 2485	−26.6	× 90 / 344	−7
5	55,810	2489.1	− 2528	−38.9	× 95 / 344	−10.7
6	55,811	2526.8	− 2552	−25.2	× 72 / 344	−5.3
Sum, rounded to a whole point						−25

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,572	2424.6	− 2436	−11.4	× 87 / 362	−2.7
4	55,573	2472.6	− 2485	−12.4	× 89 / 362	−3
5	55,574	2505.5	− 2528	−22.5	× 87 / 362	−5.4
6	55,575	2529.7	− 2552	−22.3	× 99 / 362	−6.1
Sum, rounded to a whole point						−17

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,495	2449.2	− 2436	13.2	× 90 / 347	3.4
4	55,496	2481.5	− 2485	−3.5	× 85 / 347	−0.9
5	55,497	2510.9	− 2528	−17.1	× 85 / 347	−4.2
6	55,498	2526.1	− 2552	−25.9	× 87 / 347	−6.5
Sum, rounded to a whole point						−8

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −9, −14, −41, −30, −26, −21, −31, −25, −17, −8 → −22.2
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 5 · 2016→2017: 27 · 2017→2018: 11 · 2018→2019: 4 · 2019→2022: 5 · 2022→2023: 10 · 2023→2024: 6 · 2024→2025: 8 · 2025→2026: 9 → average 9.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.4 × 2.66 = 25. Upper limit 2.8, lower limit −47.2.

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.