Ballington Academy for the Arts and Sciences: 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 scores just under the grade 3 bar. 2431 vs. 2436.
4th The average 4th grader scores just under the grade 3 bar. 2429 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 12 points under the grade 4 bar. 2473 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores 19 points under the grade 5 bar. 2509 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 3rd 30 students Meets the grade 3 bar. 5th 19 students 26 points under the grade 5 bar.

English learners

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

Grade bars 3rd 12 students 50 points under the grade 3 bar. 5th 12 students Just 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	14,863	2417.0	− 2436	−19	× 40 / 128	−5.9
4	14,864	2432.2	− 2485	−52.8	× 31 / 128	−12.8
5	14,867	2435.0	− 2528	−93	× 36 / 128	−26.2
6	14,868	2505.6	− 2552	−46.4	× 21 / 128	−7.6
Sum, rounded to a whole point						−52

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	13,891	2423.3	− 2436	−12.7	× 34 / 138	−3.1
4	13,893	2454.0	− 2485	−31	× 36 / 138	−8.1
5	13,894	2424.8	− 2528	−103.2	× 35 / 138	−26.2
6	13,897	2488.9	− 2552	−63.1	× 33 / 138	−15.1
Sum, rounded to a whole point						−52

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	14,226	2466.0	− 2436	30	× 42 / 125	10.1
4	14,228	2419.8	− 2485	−65.2	× 27 / 125	−14.1
5	14,230	2450.8	− 2528	−77.2	× 32 / 125	−19.8
6	14,231	2499.0	− 2552	−53	× 24 / 125	−10.2
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	14,234	2447.6	− 2436	11.6	× 37 / 128	3.4
4	14,235	2481.1	− 2485	−3.9	× 39 / 128	−1.2
5	14,238	2449.7	− 2528	−78.3	× 24 / 128	−14.7
6	14,239	2501.6	− 2552	−50.4	× 28 / 128	−11
Sum, rounded to a whole point						−24

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	14,341	2426.9	− 2436	−9.1	× 38 / 147	−2.4
4	14,342	2434.4	− 2485	−50.6	× 44 / 147	−15.1
5	14,343	2494.2	− 2528	−33.8	× 40 / 147	−9.2
6	14,344	2467.4	− 2552	−84.6	× 25 / 147	−14.4
Sum, rounded to a whole point						−41

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	14,346	2407.8	− 2436	−28.2	× 26 / 123	−6
4	14,347	2439.3	− 2485	−45.7	× 39 / 123	−14.5
5	14,348	2458.3	− 2528	−69.7	× 32 / 123	−18.1
6	14,349	2472.3	− 2552	−79.7	× 26 / 123	−16.8
Sum, rounded to a whole point						−55

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	14,307	2405.6	− 2436	−30.4	× 45 / 131	−10.4
4	14,308	2445.6	− 2485	−39.4	× 25 / 131	−7.5
5	14,309	2461.2	− 2528	−66.8	× 36 / 131	−18.4
6	14,310	2545.8	− 2552	−6.2	× 25 / 131	−1.2
Sum, rounded to a whole point						−38

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	14,262	2415.6	− 2436	−20.4	× 34 / 138	−5
4	14,263	2461.0	− 2485	−24	× 40 / 138	−7
5	14,264	2456.2	− 2528	−71.8	× 28 / 138	−14.6
6	14,265	2492.3	− 2552	−59.7	× 36 / 138	−15.6
Sum, rounded to a whole point						−42

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	14,222	2408.3	− 2436	−27.7	× 23 / 120	−5.3
4	14,223	2454.1	− 2485	−30.9	× 35 / 120	−9
5	14,224	2496.9	− 2528	−31.1	× 40 / 120	−10.4
6	14,225	2482.7	− 2552	−69.3	× 22 / 120	−12.7
Sum, rounded to a whole point						−37

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	14,244	2431.1	− 2436	−4.9	× 42 / 135	−1.5
4	14,245	2428.6	− 2485	−56.4	× 22 / 135	−9.2
5	14,246	2473.3	− 2528	−54.7	× 31 / 135	−12.6
6	14,247	2509.1	− 2552	−42.9	× 40 / 135	−12.7
Sum, rounded to a whole point						−36

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −52, −52, −34, −24, −41, −55, −38, −42, −37, −36 → −41.1
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 0 · 2016→2017: 18 · 2017→2018: 10 · 2018→2019: 17 · 2019→2022: 14 · 2022→2023: 17 · 2023→2024: 4 · 2024→2025: 5 · 2025→2026: 1 → average 9.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.6 × 2.66 = 25.5. Upper limit −15.6, lower limit −66.6.

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.