Shaffer 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.

All students

3rd The average 3rd grader scores 19 points under the grade 3 bar. 2417 vs. 2436.
4th The average 4th grader scores 35 points under the grade 4 bar. 2450 vs. 2485.
5th The average 5th grader scores 12 points under the grade 4 bar. 2473 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores 38 points under the grade 5 bar. 2490 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 38 students Just under the grade 3 bar. 4th 43 students 22 points under the grade 4 bar. 6th 42 students Just under the grade 5 bar.

English learners

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

Grade bars 3rd 15 students 62 points under the grade 3 bar. 4th 13 students 29 points under the grade 3 bar. 6th 12 students 49 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	43,962	2419.4	− 2436	−16.6	× 68 / 266	−4.2
4	43,964	2422.3	− 2485	−62.7	× 67 / 266	−15.8
5	43,965	2456.4	− 2528	−71.6	× 68 / 266	−18.3
6	43,968	2465.6	− 2552	−86.4	× 63 / 266	−20.5
Sum, rounded to a whole point						−59

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	40,658	2413.3	− 2436	−22.7	× 81 / 283	−6.5
4	40,659	2439.9	− 2485	−45.1	× 66 / 283	−10.5
5	40,662	2455.0	− 2528	−73	× 66 / 283	−17
6	40,663	2494.0	− 2552	−58	× 70 / 283	−14.3
Sum, rounded to a whole point						−48

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,661	2413.7	− 2436	−22.3	× 80 / 284	−6.3
4	41,662	2425.6	− 2485	−59.4	× 78 / 284	−16.3
5	41,665	2454.6	− 2528	−73.4	× 65 / 284	−16.8
6	41,666	2521.2	− 2552	−30.8	× 61 / 284	−6.6
Sum, rounded to a whole point						−46

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,694	2398.3	− 2436	−37.7	× 87 / 312	−10.5
4	41,695	2439.0	− 2485	−46	× 80 / 312	−11.8
5	41,698	2439.5	− 2528	−88.5	× 80 / 312	−22.7
6	41,699	2519.7	− 2552	−32.3	× 65 / 312	−6.7
Sum, rounded to a whole point						−52

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,838	2417.5	− 2436	−18.5	× 82 / 313	−4.8
4	41,839	2457.7	− 2485	−27.3	× 85 / 313	−7.4
5	41,840	2480.4	− 2528	−47.6	× 74 / 313	−11.3
6	41,841	2502.6	− 2552	−49.4	× 72 / 313	−11.4
Sum, rounded to a whole point						−35

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,585	2415.7	− 2436	−20.3	× 70 / 298	−4.8
4	41,586	2418.8	− 2485	−66.2	× 73 / 298	−16.2
5	41,587	2472.5	− 2528	−55.5	× 77 / 298	−14.3
6	41,588	2540.1	− 2552	−11.9	× 78 / 298	−3.1
Sum, rounded to a whole point						−38

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,616	2418.4	− 2436	−17.6	× 78 / 306	−4.5
4	41,617	2423.1	− 2485	−61.9	× 73 / 306	−14.8
5	41,618	2464.9	− 2528	−63.1	× 77 / 306	−15.9
6	41,619	2539.5	− 2552	−12.5	× 78 / 306	−3.2
Sum, rounded to a whole point						−38

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,451	2415.5	− 2436	−20.5	× 62 / 238	−5.3
4	41,452	2448.2	− 2485	−36.8	× 51 / 238	−7.9
5	41,453	2428.5	− 2528	−99.5	× 62 / 238	−25.9
6	41,454	2487.1	− 2552	−64.9	× 63 / 238	−17.2
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	41,214	2415.4	− 2436	−20.6	× 59 / 233	−5.2
4	41,215	2432.2	− 2485	−52.8	× 57 / 233	−12.9
5	41,216	2433.0	− 2528	−95	× 56 / 233	−22.8
6	41,217	2460.1	− 2552	−91.9	× 61 / 233	−24.1
Sum, rounded to a whole point						−65

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,120	2416.8	− 2436	−19.2	× 53 / 214	−4.8
4	41,121	2449.9	− 2485	−35.1	× 56 / 214	−9.2
5	41,122	2473.1	− 2528	−54.9	× 51 / 214	−13.1
6	41,123	2490.0	− 2552	−62	× 54 / 214	−15.6
Sum, rounded to a whole point						−43

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −59, −48, −46, −52, −35, −38, −38, −56, −65, −43 → −48
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 11 · 2016→2017: 2 · 2017→2018: 6 · 2018→2019: 17 · 2019→2022: 3 · 2022→2023: 0 · 2023→2024: 18 · 2024→2025: 9 · 2025→2026: 22 → average 9.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.8 × 2.66 = 26.1. Upper limit −21.9, lower limit −74.1.

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.