Shirpser 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, 91 of the 215 students who took the math test were English learners.

All students

3rd The average 3rd grader meets the grade 3 bar. 2442 vs. 2436.
4th The average 4th grader scores just under the grade 4 bar. 2479 vs. 2485.
5th The average 5th grader scores 27 points under the grade 4 bar. 2458 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores just under the grade 5 bar. 2524 vs. 2528. The 6th-grade bar is 2552.

Students fluent in English

Math with English out of the way. Includes students who have only ever spoken English.

Grade bars 3rd 25 students Meets the grade 3 bar. 4th 36 students Meets the grade 4 bar. 5th 29 students 42 points under the grade 5 bar. 6th 34 students Meets the grade 6 bar.

English learners

Students leave this group as they become fluent, so its average stays low even where they learn well.

Grade bars 3rd 31 students 14 points under the grade 3 bar. 4th 23 students 37 points under the grade 4 bar. 5th 21 students 17 points under the grade 3 bar. 6th 16 students 22 points under the grade 3 bar.

the group's average that grade's own bar the distance between

2026 results. "Meets standard" is the state's mark for being on track for that grade. The state leaves out any group of ten students or fewer, so a grade may be missing from the charts.

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	23,243	2396.2	− 2436	−39.8	× 91 / 333	−10.9
4	23,244	2416.1	− 2485	−68.9	× 83 / 333	−17.2
5	23,247	2437.5	− 2528	−90.5	× 78 / 333	−21.2
6	23,248	2439.1	− 2552	−112.9	× 81 / 333	−27.5
Sum, rounded to a whole point						−77

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	21,834	2388.1	− 2436	−47.9	× 81 / 329	−11.8
4	21,836	2433.1	− 2485	−51.9	× 82 / 329	−12.9
5	21,837	2440.9	− 2528	−87.1	× 85 / 329	−22.5
6	21,839	2444.1	− 2552	−107.9	× 81 / 329	−26.6
Sum, rounded to a whole point						−74

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	22,251	2401.9	− 2436	−34.1	× 86 / 332	−8.8
4	22,252	2422.7	− 2485	−62.3	× 78 / 332	−14.6
5	22,255	2451.9	− 2528	−76.1	× 81 / 332	−18.6
6	22,256	2470.6	− 2552	−81.4	× 87 / 332	−21.3
Sum, rounded to a whole point						−63

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	22,237	2411.0	− 2436	−25	× 79 / 317	−6.2
4	22,239	2452.4	− 2485	−32.6	× 82 / 317	−8.4
5	22,241	2471.0	− 2528	−57	× 80 / 317	−14.4
6	22,243	2505.4	− 2552	−46.6	× 76 / 317	−11.2
Sum, rounded to a whole point						−40

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	22,416	2396.7	− 2436	−39.3	× 81 / 306	−10.4
4	22,417	2439.1	− 2485	−45.9	× 80 / 306	−12
5	22,418	2474.1	− 2528	−53.9	× 67 / 306	−11.8
6	22,419	2513.1	− 2552	−38.9	× 78 / 306	−9.9
Sum, rounded to a whole point						−44

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	22,383	2401.2	− 2436	−34.8	× 66 / 301	−7.6
4	22,384	2440.9	− 2485	−44.1	× 74 / 301	−10.8
5	22,385	2425.1	− 2528	−102.9	× 76 / 301	−26
6	22,386	2457.9	− 2552	−94.1	× 85 / 301	−26.6
Sum, rounded to a whole point						−71

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	22,358	2427.2	− 2436	−8.8	× 49 / 267	−1.6
4	22,359	2466.9	− 2485	−18.1	× 66 / 267	−4.5
5	22,360	2434.7	− 2528	−93.3	× 73 / 267	−25.5
6	22,361	2441.2	− 2552	−110.8	× 79 / 267	−32.8
Sum, rounded to a whole point						−64

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	22,208	2403.4	− 2436	−32.6	× 60 / 258	−7.6
4	22,209	2471.5	− 2485	−13.5	× 55 / 258	−2.9
5	22,210	2472.6	− 2528	−55.4	× 66 / 258	−14.2
6	22,211	2451.2	− 2552	−100.8	× 77 / 258	−30.1
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
3	22,119	2420.3	− 2436	−15.7	× 71 / 245	−4.5
4	22,120	2434.7	− 2485	−50.3	× 57 / 245	−11.7
5	22,121	2485.2	− 2528	−42.8	× 51 / 245	−8.9
6	22,122	2479.3	− 2552	−72.7	× 66 / 245	−19.6
Sum, rounded to a whole point						−45

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	22,175	2442.3	− 2436	6.3	× 56 / 215	1.6
4	22,176	2479.1	− 2485	−5.9	× 59 / 215	−1.6
5	22,177	2458.2	− 2528	−69.8	× 50 / 215	−16.2
6	22,178	2524.0	− 2552	−28	× 50 / 215	−6.5
Sum, rounded to a whole point						−23

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −77, −74, −63, −40, −44, −71, −64, −55, −45, −23 → −55.6
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 3 · 2016→2017: 11 · 2017→2018: 23 · 2018→2019: 4 · 2019→2022: 27 · 2022→2023: 7 · 2023→2024: 9 · 2024→2025: 10 · 2025→2026: 22 → average 12.9
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 12.9 × 2.66 = 34.3. Upper limit −21.3, lower limit −89.9.

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.