Franklin 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 30 points under the grade 3 bar. 2406 vs. 2436.
4th The average 4th grader scores 22 points under the grade 3 bar. 2415 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 42 points under the grade 4 bar. 2444 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores 36 points under the grade 5 bar. 2492 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	15,928	2417.5	− 2436	−18.5	× 65 / 236	−5.1
4	15,931	2488.2	− 2485	3.2	× 77 / 236	1
5	15,932	2478.7	− 2528	−49.3	× 43 / 236	−9
6	15,935	2537.2	− 2552	−14.8	× 51 / 236	−3.2
Sum, rounded to a whole point						−16

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	14,950	2471.9	− 2436	35.9	× 59 / 231	9.2
4	14,953	2502.2	− 2485	17.2	× 59 / 231	4.4
5	14,955	2509.3	− 2528	−18.7	× 72 / 231	−5.8
6	14,956	2543.5	− 2552	−8.5	× 41 / 231	−1.5
Sum, rounded to a whole point						6

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	15,268	2444.9	− 2436	8.9	× 72 / 261	2.5
4	15,270	2508.5	− 2485	23.5	× 57 / 261	5.1
5	15,272	2510.5	− 2528	−17.5	× 62 / 261	−4.2
6	15,273	2549.3	− 2552	−2.7	× 70 / 261	−0.7
Sum, rounded to a whole point						3

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	15,288	2467.3	− 2436	31.3	× 70 / 259	8.5
4	15,291	2475.7	− 2485	−9.3	× 79 / 259	−2.8
5	15,292	2521.8	− 2528	−6.2	× 54 / 259	−1.3
6	15,295	2524.3	− 2552	−27.7	× 56 / 259	−6
Sum, rounded to a whole point						−2

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	15,401	2434.1	− 2436	−1.9	× 94 / 314	−0.6
4	15,402	2474.4	− 2485	−10.6	× 83 / 314	−2.8
5	15,403	2525.0	− 2528	−3	× 80 / 314	−0.8
6	15,404	2541.6	− 2552	−10.4	× 57 / 314	−1.9
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	15,425	2379.2	− 2436	−56.8	× 75 / 272	−15.7
4	15,426	2436.7	− 2485	−48.3	× 61 / 272	−10.8
5	15,427	2452.4	− 2528	−75.6	× 62 / 272	−17.2
6	15,428	2471.0	− 2552	−81	× 74 / 272	−22
Sum, rounded to a whole point						−66

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	15,375	2388.1	− 2436	−47.9	× 80 / 277	−13.8
4	15,376	2414.9	− 2485	−70.1	× 75 / 277	−19
5	15,377	2483.6	− 2528	−44.4	× 62 / 277	−9.9
6	15,378	2479.1	− 2552	−72.9	× 60 / 277	−15.8
Sum, rounded to a whole point						−59

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	15,326	2410.4	− 2436	−25.6	× 59 / 267	−5.7
4	15,327	2432.2	− 2485	−52.8	× 74 / 267	−14.6
5	15,328	2437.3	− 2528	−90.7	× 71 / 267	−24.1
6	15,329	2504.0	− 2552	−48	× 63 / 267	−11.3
Sum, rounded to a whole point						−56

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	15,319	2394.4	− 2436	−41.6	× 54 / 257	−8.7
4	15,320	2423.4	− 2485	−61.6	× 63 / 257	−15.1
5	15,321	2429.6	− 2528	−98.4	× 72 / 257	−27.6
6	15,322	2489.2	− 2552	−62.8	× 68 / 257	−16.6
Sum, rounded to a whole point						−68

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	15,330	2406.0	− 2436	−30	× 61 / 250	−7.3
4	15,331	2414.5	− 2485	−70.5	× 58 / 250	−16.4
5	15,332	2443.5	− 2528	−84.5	× 60 / 250	−20.3
6	15,333	2491.9	− 2552	−60.1	× 71 / 250	−17.1
Sum, rounded to a whole point						−61

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −16, 6, 3, −2, −6, −66, −59, −56, −68, −61 → −32.5
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 22 · 2016→2017: 3 · 2017→2018: 5 · 2018→2019: 4 · 2019→2022: 60 · 2022→2023: 7 · 2023→2024: 3 · 2024→2025: 12 · 2025→2026: 7 → average 13.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 13.7 × 2.66 = 36.4. Upper limit 3.9, lower limit −68.9.

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.