W.J.C. Trapp 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 5.

3rd The average 3rd grader scores just under the grade 3 bar. 2431 vs. 2436.
4th The average 4th grader scores 13 points under the grade 4 bar. 2472 vs. 2485.
5th The average 5th grader scores just under the grade 4 bar. 2478 vs. 2485. The 5th-grade bar is 2528.

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	67,370	2406.8	− 2436	−29.2	× 76 / 237	−9.4
4	67,373	2452.9	− 2485	−32.1	× 90 / 237	−12.2
5	67,374	2436.2	− 2528	−91.8	× 71 / 237	−27.5
Sum, rounded to a whole point						−49

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	62,455	2428.1	− 2436	−7.9	× 77 / 238	−2.6
4	62,457	2456.0	− 2485	−29	× 74 / 238	−9
5	62,459	2483.4	− 2528	−44.6	× 87 / 238	−16.3
Sum, rounded to a whole point						−28

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,247	2432.4	− 2436	−3.6	× 78 / 221	−1.3
4	64,250	2481.4	− 2485	−3.6	× 77 / 221	−1.3
5	64,252	2490.7	− 2528	−37.3	× 66 / 221	−11.1
Sum, rounded to a whole point						−14

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,355	2439.4	− 2436	3.4	× 67 / 221	1
4	64,356	2479.0	− 2485	−6	× 82 / 221	−2.2
5	64,359	2517.6	− 2528	−10.4	× 72 / 221	−3.4
Sum, rounded to a whole point						−5

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,722	2441.3	− 2436	5.3	× 65 / 219	1.6
4	64,723	2487.5	− 2485	2.5	× 74 / 219	0.8
5	64,724	2523.0	− 2528	−5	× 80 / 219	−1.8
Sum, rounded to a whole point						1

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,789	2417.6	− 2436	−18.4	× 96 / 265	−6.7
4	64,790	2460.4	− 2485	−24.6	× 79 / 265	−7.3
5	64,791	2434.3	− 2528	−93.7	× 90 / 265	−31.8
Sum, rounded to a whole point						−46

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,786	2463.1	− 2436	27.1	× 94 / 276	9.2
4	64,787	2435.7	− 2485	−49.3	× 98 / 276	−17.5
5	64,788	2466.2	− 2528	−61.8	× 84 / 276	−18.8
Sum, rounded to a whole point						−27

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,754	2451.1	− 2436	15.1	× 97 / 284	5.2
4	64,755	2467.7	− 2485	−17.3	× 90 / 284	−5.5
5	64,756	2443.9	− 2528	−84.1	× 97 / 284	−28.7
Sum, rounded to a whole point						−29

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,510	2464.1	− 2436	28.1	× 85 / 280	8.5
4	64,511	2478.9	− 2485	−6.1	× 104 / 280	−2.3
5	64,512	2493.5	− 2528	−34.5	× 91 / 280	−11.2
Sum, rounded to a whole point						−5

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,484	2430.6	− 2436	−5.4	× 83 / 271	−1.7
4	64,485	2471.8	− 2485	−13.2	× 88 / 271	−4.3
5	64,486	2478.3	− 2528	−49.7	× 100 / 271	−18.3
Sum, rounded to a whole point						−24

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −49, −28, −14, −5, 1, −46, −27, −29, −5, −24 → −22.6
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 21 · 2016→2017: 14 · 2017→2018: 9 · 2018→2019: 6 · 2019→2022: 47 · 2022→2023: 19 · 2023→2024: 2 · 2024→2025: 24 · 2025→2026: 19 → average 17.9
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 17.9 × 2.66 = 47.6. Upper limit 25, lower limit −70.2.

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.