La Colima 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 5.

3rd The average 3rd grader meets the grade 3 bar. 2467 vs. 2436.
4th The average 4th grader scores just under the grade 4 bar. 2477 vs. 2485.
5th The average 5th grader scores 15 points under the grade 4 bar. 2470 vs. 2485. The 5th-grade bar is 2528.

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	23,084	2401.1	− 2436	−34.9	× 94 / 268	−12.2
4	23,087	2457.3	− 2485	−27.7	× 87 / 268	−9
5	23,088	2480.3	− 2528	−47.7	× 87 / 268	−15.5
Sum, rounded to a whole point						−37

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	21,679	2437.2	− 2436	1.2	× 72 / 252	0.3
4	21,681	2437.1	− 2485	−47.9	× 90 / 252	−17.1
5	21,684	2489.3	− 2528	−38.7	× 90 / 252	−13.8
Sum, rounded to a whole point						−31

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	22,101	2430.4	− 2436	−5.6	× 88 / 256	−1.9
4	22,102	2448.5	− 2485	−36.5	× 76 / 256	−10.8
5	22,105	2470.2	− 2528	−57.8	× 92 / 256	−20.8
Sum, rounded to a whole point						−34

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	22,087	2426.5	− 2436	−9.5	× 77 / 242	−3
4	22,089	2474.1	− 2485	−10.9	× 88 / 242	−4
5	22,091	2477.4	− 2528	−50.6	× 77 / 242	−16.1
Sum, rounded to a whole point						−23

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	22,265	2413.7	− 2436	−22.3	× 75 / 228	−7.3
4	22,266	2470.1	− 2485	−14.9	× 74 / 228	−4.8
5	22,267	2500.1	− 2528	−27.9	× 79 / 228	−9.7
Sum, rounded to a whole point						−22

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	22,236	2457.2	− 2436	21.2	× 68 / 205	7
4	22,237	2461.8	− 2485	−23.2	× 66 / 205	−7.5
5	22,238	2474.0	− 2528	−54	× 71 / 205	−18.7
Sum, rounded to a whole point						−19

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	22,207	2461.6	− 2436	25.6	× 61 / 199	7.8
4	22,208	2473.8	− 2485	−11.2	× 66 / 199	−3.7
5	22,209	2513.5	− 2528	−14.5	× 72 / 199	−5.2
Sum, rounded to a whole point						−1

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	22,061	2425.4	− 2436	−10.6	× 56 / 185	−3.2
4	22,062	2485.4	− 2485	0.4	× 66 / 185	0.1
5	22,063	2480.3	− 2528	−47.7	× 63 / 185	−16.2
Sum, rounded to a whole point						−19

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	21,968	2455.8	− 2436	19.8	× 55 / 184	5.9
4	21,969	2472.2	− 2485	−12.8	× 59 / 184	−4.1
5	21,970	2494.9	− 2528	−33.1	× 70 / 184	−12.6
Sum, rounded to a whole point						−11

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	22,026	2466.5	− 2436	30.5	× 40 / 151	8.1
4	22,027	2477.4	− 2485	−7.6	× 60 / 151	−3
5	22,028	2469.8	− 2528	−58.2	× 51 / 151	−19.7
Sum, rounded to a whole point						−15

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −37, −31, −34, −23, −22, −19, −1, −19, −11, −15 → −21.2
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 6 · 2016→2017: 3 · 2017→2018: 11 · 2018→2019: 1 · 2019→2022: 3 · 2022→2023: 18 · 2023→2024: 18 · 2024→2025: 8 · 2025→2026: 4 → average 8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8 × 2.66 = 21.3. Upper limit 0.1, lower limit −42.5.

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.