Aspire Titan 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 5.

All students

3rd The average 3rd grader meets the grade 3 bar. 2448 vs. 2436.
4th The average 4th grader scores 44 points under the grade 4 bar. 2441 vs. 2485.
5th The average 5th grader scores 24 points under the grade 4 bar. 2461 vs. 2485. The 5th-grade bar is 2528.

Students fluent in English

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

Grade bars 3rd 42 students Meets the grade 3 bar. 4th 42 students 33 points under the grade 4 bar. 5th 46 students Just 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 3rd 13 students 18 points under the grade 3 bar. 4th 18 students 21 points under the grade 3 bar. 5th 12 students 40 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	27,631	2423.4	− 2436	−12.6	× 50 / 170	−3.7
4	27,634	2436.4	− 2485	−48.6	× 60 / 170	−17.2
5	27,635	2471.6	− 2528	−56.4	× 60 / 170	−19.9
Sum, rounded to a whole point						−41

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	25,695	2439.5	− 2436	3.5	× 52 / 172	1.1
4	25,698	2466.2	− 2485	−18.8	× 60 / 172	−6.6
5	25,700	2486.0	− 2528	−42	× 60 / 172	−14.7
Sum, rounded to a whole point						−20

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	26,175	2445.5	− 2436	9.5	× 53 / 172	2.9
4	26,176	2463.1	− 2485	−21.9	× 59 / 172	−7.5
5	26,178	2482.9	− 2528	−45.1	× 60 / 172	−15.7
Sum, rounded to a whole point						−20

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	26,155	2456.1	− 2436	20.1	× 52 / 171	6.1
4	26,157	2479.9	− 2485	−5.1	× 61 / 171	−1.8
5	26,159	2487.0	− 2528	−41	× 58 / 171	−13.9
Sum, rounded to a whole point						−10

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	26,289	2463.5	− 2436	27.5	× 52 / 172	8.3
4	26,290	2484.4	− 2485	−0.6	× 60 / 172	−0.2
5	26,291	2488.5	− 2528	−39.5	× 60 / 172	−13.8
Sum, rounded to a whole point						−6

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	26,226	2400.7	− 2436	−35.3	× 52 / 171	−10.7
4	26,227	2424.3	− 2485	−60.7	× 60 / 171	−21.3
5	26,228	2438.1	− 2528	−89.9	× 59 / 171	−31
Sum, rounded to a whole point						−63

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	26,185	2389.8	− 2436	−46.2	× 51 / 165	−14.3
4	26,186	2444.8	− 2485	−40.2	× 54 / 165	−13.2
5	26,187	2455.9	− 2528	−72.1	× 60 / 165	−26.2
Sum, rounded to a whole point						−54

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	26,035	2429.5	− 2436	−6.5	× 55 / 172	−2.1
4	26,036	2435.6	− 2485	−49.4	× 59 / 172	−16.9
5	26,037	2463.5	− 2528	−64.5	× 58 / 172	−21.8
Sum, rounded to a whole point						−41

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	25,924	2414.6	− 2436	−21.4	× 54 / 171	−6.8
4	25,925	2415.0	− 2485	−70	× 58 / 171	−23.7
5	25,926	2469.0	− 2528	−59	× 59 / 171	−20.4
Sum, rounded to a whole point						−51

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	25,940	2447.9	− 2436	11.9	× 55 / 173	3.8
4	25,941	2441.3	− 2485	−43.7	× 60 / 173	−15.2
5	25,942	2460.6	− 2528	−67.4	× 58 / 173	−22.6
Sum, rounded to a whole point						−34

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −41, −20, −20, −10, −6, −63, −54, −41, −51, −34 → −34
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 21 · 2016→2017: 0 · 2017→2018: 10 · 2018→2019: 4 · 2019→2022: 57 · 2022→2023: 9 · 2023→2024: 13 · 2024→2025: 10 · 2025→2026: 17 → average 15.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 15.7 × 2.66 = 41.8. Upper limit 7.8, lower limit −75.8.

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.