Cabrillo 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 8.

3rd The average 3rd grader scores just under the grade 3 bar. 2433 vs. 2436.
4th The average 4th grader meets the grade 4 bar. 2492 vs. 2485.
5th The average 5th grader meets the grade 5 bar. 2539 vs. 2528.
6th The average 6th grader scores just under the grade 6 bar. 2545 vs. 2552.
7th The average 7th grader scores just under the grade 7 bar. 2567 vs. 2567.
8th The average 8th grader meets the grade 8 bar. 2600 vs. 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
3	83,017	2461.5	− 2436	25.5	× 60 / 351	4.4
4	83,018	2512.6	− 2485	27.6	× 62 / 351	4.9
5	83,021	2547.6	− 2528	19.6	× 61 / 351	3.4
6	83,022	2522.0	− 2552	−30	× 60 / 351	−5.1
7	83,025	2578.2	− 2567	11.2	× 63 / 351	2
8	83,026	2595.2	− 2586	9.2	× 45 / 351	1.2
Sum, rounded to a whole point						11

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,996	2465.3	− 2436	29.3	× 53 / 358	4.3
4	76,998	2509.3	− 2485	24.3	× 62 / 358	4.2
5	77,001	2512.4	− 2528	−15.6	× 62 / 358	−2.7
6	77,003	2565.1	− 2552	13.1	× 58 / 358	2.1
7	77,004	2573.0	− 2567	6	× 59 / 358	1
8	77,006	2616.8	− 2586	30.8	× 64 / 358	5.5
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	79,087	2452.4	− 2436	16.4	× 59 / 369	2.6
4	79,090	2491.0	− 2485	6	× 63 / 369	1
5	79,092	2524.1	− 2528	−3.9	× 64 / 369	−0.7
6	79,094	2543.6	− 2552	−8.4	× 62 / 369	−1.4
7	79,096	2616.9	− 2567	49.9	× 64 / 369	8.7
8	79,098	2605.6	− 2586	19.6	× 57 / 369	3
Sum, rounded to a whole point						13

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,227	2463.0	− 2436	27	× 60 / 375	4.3
4	79,228	2502.6	− 2485	17.6	× 64 / 375	3
5	79,231	2529.9	− 2528	1.9	× 62 / 375	0.3
6	79,232	2514.6	− 2552	−37.4	× 64 / 375	−6.4
7	79,235	2601.0	− 2567	34	× 62 / 375	5.6
8	79,236	2627.3	− 2586	41.3	× 63 / 375	6.9
Sum, rounded to a whole point						14

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,759	2474.8	− 2436	38.8	× 59 / 373	6.1
4	79,760	2520.5	− 2485	35.5	× 60 / 373	5.7
5	79,761	2534.3	− 2528	6.3	× 64 / 373	1.1
6	79,762	2512.0	− 2552	−40	× 64 / 373	−6.9
7	79,763	2561.2	− 2567	−5.8	× 63 / 373	−1
8	79,764	2606.5	− 2586	20.5	× 63 / 373	3.5
Sum, rounded to a whole point						9

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	78,250	2441.6	− 2436	5.6	× 47 / 302	0.9
4	78,251	2451.3	− 2485	−33.7	× 52 / 302	−5.8
5	78,252	2500.9	− 2528	−27.1	× 58 / 302	−5.2
6	78,253	2514.4	− 2552	−37.6	× 41 / 302	−5.1
7	78,254	2558.9	− 2567	−8.1	× 53 / 302	−1.4
8	78,255	2547.3	− 2586	−38.7	× 51 / 302	−6.5
Sum, rounded to a whole point						−23

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,011	2461.1	− 2436	25.1	× 56 / 333	4.2
4	80,012	2484.7	− 2485	−0.3	× 55 / 333	0
5	80,013	2516.9	− 2528	−11.1	× 57 / 333	−1.9
6	80,014	2549.2	− 2552	−2.8	× 63 / 333	−0.5
7	80,015	2538.6	− 2567	−28.4	× 48 / 333	−4.1
8	80,016	2563.2	− 2586	−22.8	× 54 / 333	−3.7
Sum, rounded to a whole point						−6

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,983	2452.8	− 2436	16.8	× 81 / 360	3.8
4	79,984	2484.5	− 2485	−0.5	× 60 / 360	−0.1
5	79,985	2540.5	− 2528	12.5	× 58 / 360	2
6	79,986	2531.8	− 2552	−20.2	× 51 / 360	−2.9
7	79,987	2571.0	− 2567	4	× 63 / 360	0.7
8	79,988	2588.6	− 2586	2.6	× 47 / 360	0.3
Sum, rounded to a whole point						4

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,007	2460.7	− 2436	24.7	× 59 / 354	4.1
4	80,008	2473.5	− 2485	−11.5	× 77 / 354	−2.5
5	80,009	2536.6	− 2528	8.6	× 59 / 354	1.4
6	80,010	2530.1	− 2552	−21.9	× 52 / 354	−3.2
7	80,011	2551.7	− 2567	−15.3	× 46 / 354	−2
8	80,012	2601.9	− 2586	15.9	× 61 / 354	2.7
Sum, rounded to a whole point						1

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,671	2434.8	− 2436	−1.2	× 60 / 347	−0.2
4	79,672	2498.7	− 2485	13.7	× 60 / 347	2.4
5	79,673	2517.1	− 2528	−10.9	× 74 / 347	−2.3
6	79,674	2519.3	− 2552	−32.7	× 45 / 347	−4.2
7	79,675	2562.5	− 2567	−4.5	× 59 / 347	−0.8
8	79,676	2587.3	− 2586	1.3	× 49 / 347	0.2
Sum, rounded to a whole point						−5

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,599	2433.1	− 2436	−2.9	× 61 / 369	−0.5
4	79,600	2491.7	− 2485	6.7	× 61 / 369	1.1
5	79,601	2539.0	− 2528	11	× 62 / 369	1.8
6	79,602	2544.6	− 2552	−7.4	× 64 / 369	−1.3
7	79,603	2566.6	− 2567	−0.4	× 58 / 369	−0.1
8	79,604	2600.0	− 2586	14	× 63 / 369	2.4
Sum, rounded to a whole point						4

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 11, 14, 13, 14, 9, −23, −6, 4, 1, −5, 4 → 3.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 3 · 2016→2017: 1 · 2017→2018: 1 · 2018→2019: 5 · 2019→2021: 32 · 2021→2022: 17 · 2022→2023: 10 · 2023→2024: 3 · 2024→2025: 6 · 2025→2026: 9 → average 8.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8.7 × 2.66 = 23.1. Upper limit 26.4, lower limit −19.8.

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.