Sycamore 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 just under the grade 3 bar. 2433 vs. 2436.
4th The average 4th grader scores 11 points under the grade 4 bar. 2474 vs. 2485.
5th The average 5th grader scores 42 points under the grade 5 bar. 2486 vs. 2528.
6th The average 6th grader scores 12 points under the grade 6 bar. 2540 vs. 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	69,616	2417.5	− 2436	−18.5	× 82 / 268	−5.7
4	69,617	2459.5	− 2485	−25.5	× 57 / 268	−5.4
5	69,620	2476.5	− 2528	−51.5	× 74 / 268	−14.2
6	69,621	2533.2	− 2552	−18.8	× 55 / 268	−3.9
Sum, rounded to a whole point						−29

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,536	2467.3	− 2436	31.3	× 56 / 279	6.3
4	64,539	2455.3	− 2485	−29.7	× 80 / 279	−8.5
5	64,540	2501.5	− 2528	−26.5	× 62 / 279	−5.9
6	64,543	2524.6	− 2552	−27.4	× 81 / 279	−8
Sum, rounded to a whole point						−16

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	66,356	2425.8	− 2436	−10.2	× 59 / 266	−2.3
4	66,357	2486.5	− 2485	1.5	× 57 / 266	0.3
5	66,359	2470.0	− 2528	−58	× 84 / 266	−18.3
6	66,362	2528.0	− 2552	−24	× 66 / 266	−6
Sum, rounded to a whole point						−26

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	66,427	2459.0	− 2436	23	× 60 / 261	5.3
4	66,429	2476.2	− 2485	−8.8	× 61 / 261	−2.1
5	66,431	2493.2	− 2528	−34.8	× 56 / 261	−7.5
6	66,433	2501.5	− 2552	−50.5	× 84 / 261	−16.3
Sum, rounded to a whole point						−20

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	66,851	2407.1	− 2436	−28.9	× 67 / 272	−7.1
4	66,852	2491.1	− 2485	6.1	× 70 / 272	1.6
5	66,853	2485.6	− 2528	−42.4	× 71 / 272	−11.1
6	66,854	2532.4	− 2552	−19.6	× 64 / 272	−4.6
Sum, rounded to a whole point						−21

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	66,959	2420.8	− 2436	−15.2	× 49 / 276	−2.7
4	66,960	2441.5	− 2485	−43.5	× 77 / 276	−12.1
5	66,961	2473.6	− 2528	−54.4	× 78 / 276	−15.4
6	66,962	2498.4	− 2552	−53.6	× 72 / 276	−14
Sum, rounded to a whole point						−44

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	66,957	2438.6	− 2436	2.6	× 61 / 268	0.6
4	66,958	2444.9	− 2485	−40.1	× 53 / 268	−7.9
5	66,959	2465.8	− 2528	−62.2	× 76 / 268	−17.6
6	66,960	2476.0	− 2552	−76	× 78 / 268	−22.1
Sum, rounded to a whole point						−47

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	66,947	2423.1	− 2436	−12.9	× 55 / 239	−3
4	66,948	2465.7	− 2485	−19.3	× 59 / 239	−4.8
5	66,949	2489.1	− 2528	−38.9	× 50 / 239	−8.1
6	66,950	2486.1	− 2552	−65.9	× 75 / 239	−20.7
Sum, rounded to a whole point						−37

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	66,693	2404.8	− 2436	−31.2	× 64 / 240	−8.3
4	66,694	2453.0	− 2485	−32	× 60 / 240	−8
5	66,695	2496.2	− 2528	−31.8	× 61 / 240	−8.1
6	66,696	2510.5	− 2552	−41.5	× 55 / 240	−9.5
Sum, rounded to a whole point						−34

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	66,672	2433.0	− 2436	−3	× 50 / 221	−0.7
4	66,673	2474.2	− 2485	−10.8	× 59 / 221	−2.9
5	66,674	2485.8	− 2528	−42.2	× 54 / 221	−10.3
6	66,675	2540.2	− 2552	−11.8	× 58 / 221	−3.1
Sum, rounded to a whole point						−17

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −29, −16, −26, −20, −21, −44, −47, −37, −34, −17 → −29.1
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: 10 · 2017→2018: 6 · 2018→2019: 1 · 2019→2022: 23 · 2022→2023: 3 · 2023→2024: 10 · 2024→2025: 3 · 2025→2026: 17 → 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 −3.6, lower limit −54.6.

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.