Princeton 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.

Many students here are still learning English. The math test is written in English, with some translation help, and many of its questions are word problems. In 2026, 12 of the 26 students who took the math test were English learners.

4th The average 4th grader scores 13 points under the grade 3 bar. 2423 vs. 2436. The 4th-grade bar is 2485.
6th The average 6th grader scores just under the grade 4 bar. 2484 vs. 2485. 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	13,140	2440.6	− 2436	4.6	× 13 / 37	1.6
4	13,143	2441.6	− 2485	−43.4	× 12 / 37	−14.1
5	13,144	2494.1	− 2528	−33.9	× 12 / 37	−11
Sum, rounded to a whole point						−23

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	12,160	2425.9	− 2485	−59.1	× 14 / 38	−21.8
5	12,162	2453.7	− 2528	−74.3	× 13 / 38	−25.4
6	12,164	2500.7	− 2552	−51.3	× 11 / 38	−14.9
Sum, rounded to a whole point						−62

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,491	2450.7	− 2436	14.7	× 13 / 42	4.6
5	12,495	2528.6	− 2528	0.6	× 16 / 42	0.2
6	12,497	2507.7	− 2552	−44.3	× 13 / 42	−13.7
Sum, rounded to a whole point						−9

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	12,518	2455.2	− 2485	−29.8	× 12 / 29	−12.3
6	12,522	2454.4	− 2552	−97.6	× 17 / 29	−57.2
Sum, rounded to a whole point						−70

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	12,617	2440.9	− 2528	−87.1	× 13 / 25	−45.3
6	12,618	2441.6	− 2552	−110.4	× 12 / 25	−53
Sum, rounded to a whole point						−98

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	12,625	2418.9	− 2436	−17.1	× 12 / 23	−8.9
6	12,628	2494.0	− 2552	−58	× 11 / 23	−27.7
Sum, rounded to a whole point						−37

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	12,593	2448.0	− 2485	−37	× 11 / 22	−18.5
7	12,596	2495.0	− 2567	−72	× 11 / 22	−36
Sum, rounded to a whole point						−55

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	12,567	2460.3	− 2528	−67.7	× 12 / 23	−35.3
8	12,570	2442.5	− 2586	−143.5	× 11 / 23	−68.6
Sum, rounded to a whole point						−104

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	12,586	2423.3	− 2485	−61.7	× 11 / 26	−26.1
6	12,588	2483.9	− 2552	−68.1	× 15 / 26	−39.3
Sum, rounded to a whole point						−65

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −23, −62, −9, −70, −98, −37, −55, −104, −65 → −58.1
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 39 · 2016→2017: 53 · 2017→2018: 61 · 2018→2019: 28 · 2019→2023: 61 · 2023→2024: 18 · 2024→2025: 49 · 2025→2026: 39 → average 43.5
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 43.5 × 2.66 = 115.7. Upper limit 57.6, lower limit −173.8.

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.