Twin Lakes 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 6.

3rd The average 3rd grader scores 23 points under the grade 3 bar. 2413 vs. 2436.
4th The average 4th grader meets the grade 4 bar. 2491 vs. 2485.
5th The average 5th grader scores 39 points under the grade 5 bar. 2489 vs. 2528.
6th The average 6th grader scores 26 points under the grade 5 bar. 2502 vs. 2528. The 6th-grade bar is 2552.

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	62,692	2439.0	− 2436	3	× 85 / 327	0.8
4	62,694	2457.7	− 2485	−27.3	× 70 / 327	−5.8
5	62,696	2485.5	− 2528	−42.5	× 90 / 327	−11.7
6	62,698	2494.3	− 2552	−57.7	× 82 / 327	−14.5
Sum, rounded to a whole point						−31

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	58,186	2448.1	− 2436	12.1	× 92 / 342	3.3
4	58,187	2479.4	− 2485	−5.6	× 92 / 342	−1.5
5	58,190	2499.7	− 2528	−28.3	× 71 / 342	−5.9
6	58,192	2498.8	− 2552	−53.2	× 87 / 342	−13.5
Sum, rounded to a whole point						−18

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	59,871	2454.6	− 2436	18.6	× 66 / 303	4.1
4	59,873	2465.2	− 2485	−19.8	× 99 / 303	−6.5
5	59,874	2488.6	− 2528	−39.4	× 95 / 303	−12.4
6	59,876	2490.9	− 2552	−61.1	× 43 / 303	−8.7
Sum, rounded to a whole point						−23

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	59,997	2490.8	− 2436	54.8	× 63 / 307	11.2
4	60,000	2482.6	− 2485	−2.4	× 72 / 307	−0.6
5	60,001	2486.1	− 2528	−41.9	× 101 / 307	−13.8
6	60,004	2495.0	− 2552	−57	× 71 / 307	−13.2
Sum, rounded to a whole point						−16

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,247	2472.4	− 2436	36.4	× 77 / 314	8.9
4	60,248	2487.2	− 2485	2.2	× 73 / 314	0.5
5	60,249	2472.6	− 2528	−55.4	× 81 / 314	−14.3
6	60,250	2508.0	− 2552	−44	× 83 / 314	−11.6
Sum, rounded to a whole point						−16

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,315	2449.3	− 2436	13.3	× 52 / 238	2.9
4	60,316	2475.1	− 2485	−9.9	× 56 / 238	−2.3
5	60,317	2482.2	− 2528	−45.8	× 79 / 238	−15.2
6	60,318	2527.6	− 2552	−24.4	× 51 / 238	−5.2
Sum, rounded to a whole point						−20

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,266	2418.3	− 2436	−17.7	× 78 / 251	−5.5
4	60,267	2476.7	− 2485	−8.3	× 58 / 251	−1.9
5	60,268	2477.7	− 2528	−50.3	× 57 / 251	−11.4
6	60,269	2523.1	− 2552	−28.9	× 58 / 251	−6.7
Sum, rounded to a whole point						−26

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,195	2423.8	− 2436	−12.2	× 53 / 248	−2.6
4	60,196	2464.5	− 2485	−20.5	× 86 / 248	−7.1
5	60,197	2503.7	− 2528	−24.3	× 57 / 248	−5.6
6	60,198	2513.4	− 2552	−38.6	× 52 / 248	−8.1
Sum, rounded to a whole point						−23

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	59,952	2437.0	− 2436	1	× 78 / 260	0.3
4	59,953	2486.1	− 2485	1.1	× 46 / 260	0.2
5	59,954	2492.1	− 2528	−35.9	× 84 / 260	−11.6
6	59,955	2526.8	− 2552	−25.2	× 52 / 260	−5
Sum, rounded to a whole point						−16

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	59,879	2413.0	− 2436	−23	× 71 / 274	−6
4	59,880	2490.6	− 2485	5.6	× 79 / 274	1.6
5	59,881	2488.6	− 2528	−39.4	× 49 / 274	−7
6	59,882	2502.2	− 2552	−49.8	× 75 / 274	−13.6
Sum, rounded to a whole point						−25

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −31, −18, −23, −16, −16, −20, −26, −23, −16, −25 → −21.4
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 13 · 2016→2017: 5 · 2017→2018: 7 · 2018→2019: 0 · 2019→2022: 4 · 2022→2023: 6 · 2023→2024: 3 · 2024→2025: 7 · 2025→2026: 9 → average 6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 6 × 2.66 = 16. Upper limit −5.4, lower limit −37.4.

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.