Taylor Leadership 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 8.

3rd The average 3rd grader scores 88 points under the grade 3 bar. 2348 vs. 2436.
4th The average 4th grader scores 55 points under the grade 3 bar. 2381 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 50 points under the grade 3 bar. 2386 vs. 2436. The 5th-grade bar is 2528.
6th The average 6th grader scores 48 points under the grade 4 bar. 2437 vs. 2485. The 6th-grade bar is 2552.
7th The average 7th grader scores 43 points under the grade 4 bar. 2442 vs. 2485. The 7th-grade bar is 2567.
8th The average 8th grader scores 28 points under the grade 4 bar. 2457 vs. 2485. The 8th-grade bar is 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	80,965	2356.5	− 2436	−79.5	× 63 / 330	−15.2
4	80,968	2393.7	− 2485	−91.3	× 32 / 330	−8.9
5	80,970	2394.8	− 2528	−133.2	× 61 / 330	−24.6
6	80,972	2469.4	− 2552	−82.6	× 59 / 330	−14.8
7	80,974	2476.9	− 2567	−90.1	× 58 / 330	−15.8
8	80,976	2504.3	− 2586	−81.7	× 57 / 330	−14.1
Sum, rounded to a whole point						−93

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	75,066	2385.7	− 2436	−50.3	× 59 / 314	−9.5
4	75,068	2380.6	− 2485	−104.4	× 64 / 314	−21.3
5	75,070	2421.9	− 2528	−106.1	× 31 / 314	−10.5
6	75,073	2455.9	− 2552	−96.1	× 51 / 314	−15.6
7	75,075	2485.3	− 2567	−81.7	× 58 / 314	−15.1
8	75,076	2458.1	− 2586	−127.9	× 51 / 314	−20.8
Sum, rounded to a whole point						−93

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,076	2360.2	− 2436	−75.8	× 47 / 317	−11.2
4	77,077	2435.5	− 2485	−49.5	× 64 / 317	−10
5	77,079	2400.9	− 2528	−127.1	× 61 / 317	−24.5
6	77,081	2431.0	− 2552	−121	× 32 / 317	−12.2
7	77,084	2447.5	− 2567	−119.5	× 53 / 317	−20
8	77,086	2471.7	− 2586	−114.3	× 60 / 317	−21.6
Sum, rounded to a whole point						−100

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,264	2327.1	− 2436	−108.9	× 53 / 301	−19.2
4	77,266	2405.3	− 2485	−79.7	× 35 / 301	−9.3
5	77,268	2414.6	− 2528	−113.4	× 65 / 301	−24.5
6	77,270	2417.9	− 2552	−134.1	× 63 / 301	−28.1
7	77,272	2468.0	− 2567	−99	× 32 / 301	−10.5
8	77,274	2455.9	− 2586	−130.1	× 53 / 301	−22.9
Sum, rounded to a whole point						−114

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,787	2352.3	− 2436	−83.7	× 48 / 286	−14
4	77,788	2381.2	− 2485	−103.8	× 52 / 286	−18.9
5	77,789	2400.8	− 2528	−127.2	× 32 / 286	−14.2
6	77,790	2429.1	− 2552	−122.9	× 61 / 286	−26.2
7	77,791	2444.9	− 2567	−122.1	× 60 / 286	−25.6
8	77,792	2495.8	− 2586	−90.2	× 33 / 286	−10.4
Sum, rounded to a whole point						−109

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,937	2299.7	− 2436	−136.3	× 48 / 236	−27.7
4	77,938	2367.6	− 2485	−117.4	× 50 / 236	−24.9
5	77,939	2432.1	− 2528	−95.9	× 31 / 236	−12.6
6	77,940	2427.8	− 2552	−124.2	× 49 / 236	−25.8
7	77,941	2441.2	− 2567	−125.8	× 32 / 236	−17.1
8	77,942	2442.3	− 2586	−143.7	× 26 / 236	−15.8
Sum, rounded to a whole point						−124

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,929	2367.1	− 2436	−68.9	× 52 / 247	−14.5
4	77,930	2346.0	− 2485	−139	× 54 / 247	−30.4
5	77,931	2424.7	− 2528	−103.3	× 31 / 247	−13
6	77,932	2425.3	− 2552	−126.7	× 30 / 247	−15.4
7	77,933	2454.7	− 2567	−112.3	× 48 / 247	−21.8
8	77,934	2457.9	− 2586	−128.1	× 32 / 247	−16.6
Sum, rounded to a whole point						−112

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,947	2352.8	− 2436	−83.2	× 45 / 250	−15
4	77,948	2368.1	− 2485	−116.9	× 54 / 250	−25.3
5	77,949	2383.1	− 2528	−144.9	× 47 / 250	−27.2
6	77,950	2407.9	− 2552	−144.1	× 30 / 250	−17.3
7	77,951	2448.6	− 2567	−118.4	× 27 / 250	−12.8
8	77,952	2435.2	− 2586	−150.8	× 47 / 250	−28.4
Sum, rounded to a whole point						−126

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,609	2384.5	− 2436	−51.5	× 33 / 223	−7.6
4	77,610	2385.5	− 2485	−99.5	× 40 / 223	−17.8
5	77,611	2397.6	− 2528	−130.4	× 49 / 223	−28.7
6	77,612	2398.6	− 2552	−153.4	× 43 / 223	−29.6
7	77,613	2435.4	− 2567	−131.6	× 29 / 223	−17.1
8	77,614	2435.0	− 2586	−151	× 29 / 223	−19.6
Sum, rounded to a whole point						−120

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,517	2347.8	− 2436	−88.2	× 38 / 219	−15.3
4	77,518	2380.8	− 2485	−104.2	× 30 / 219	−14.3
5	77,519	2386.1	− 2528	−141.9	× 31 / 219	−20.1
6	77,520	2437.2	− 2552	−114.8	× 49 / 219	−25.7
7	77,521	2442.2	− 2567	−124.8	× 44 / 219	−25.1
8	77,522	2457.4	− 2586	−128.6	× 27 / 219	−15.9
Sum, rounded to a whole point						−116

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −93, −93, −100, −114, −109, −124, −112, −126, −120, −116 → −110.7
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: 7 · 2017→2018: 14 · 2018→2019: 5 · 2019→2022: 15 · 2022→2023: 12 · 2023→2024: 14 · 2024→2025: 6 · 2025→2026: 4 → average 8.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8.6 × 2.66 = 22.9. Upper limit −87.8, lower limit −133.6.

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.