Norman R. Brekke 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.

All students

3rd The average 3rd grader meets the grade 3 bar. 2438 vs. 2436.
4th The average 4th grader scores 14 points under the grade 4 bar. 2471 vs. 2485.
5th The average 5th grader scores 40 points under the grade 5 bar. 2488 vs. 2528.

Students fluent in English

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

Grade bars 3rd 58 students Meets the grade 3 bar. 4th 76 students Just under the grade 4 bar. 5th 51 students 23 points 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 13 students 28 points under the grade 3 bar. 4th 17 students 21 points under the grade 3 bar. 5th 11 students 26 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	103,627	2404.9	− 2436	−31.1	× 116 / 321	−11.2
4	103,630	2413.1	− 2485	−71.9	× 100 / 321	−22.4
5	103,631	2445.6	− 2528	−82.4	× 105 / 321	−27
Sum, rounded to a whole point						−61

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,317	2405.3	− 2436	−30.7	× 89 / 297	−9.2
4	96,319	2438.2	− 2485	−46.8	× 103 / 297	−16.2
5	96,321	2458.1	− 2528	−69.9	× 105 / 297	−24.7
Sum, rounded to a whole point						−50

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	99,105	2405.5	− 2436	−30.5	× 88 / 292	−9.2
4	99,106	2428.7	− 2485	−56.3	× 100 / 292	−19.3
5	99,109	2449.8	− 2528	−78.2	× 104 / 292	−27.9
Sum, rounded to a whole point						−56

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	99,259	2393.6	− 2436	−42.4	× 89 / 290	−13
4	99,262	2441.3	− 2485	−43.7	× 97 / 290	−14.6
5	99,263	2433.3	− 2528	−94.7	× 104 / 290	−34
Sum, rounded to a whole point						−62

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	99,926	2414.3	− 2436	−21.7	× 92 / 283	−7.1
4	99,927	2435.2	− 2485	−49.8	× 98 / 283	−17.2
5	99,928	2466.0	− 2528	−62	× 93 / 283	−20.4
Sum, rounded to a whole point						−45

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	100,125	2436.8	− 2436	0.8	× 86 / 274	0.3
4	100,126	2447.2	− 2485	−37.8	× 93 / 274	−12.8
5	100,127	2468.5	− 2528	−59.5	× 95 / 274	−20.6
Sum, rounded to a whole point						−33

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	99,967	2450.1	− 2436	14.1	× 89 / 274	4.6
4	99,968	2467.3	− 2485	−17.7	× 92 / 274	−5.9
5	99,969	2483.5	− 2528	−44.5	× 93 / 274	−15.1
Sum, rounded to a whole point						−16

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	99,846	2451.3	− 2436	15.3	× 70 / 262	4.1
4	99,847	2447.6	− 2485	−37.4	× 97 / 262	−13.8
5	99,848	2469.3	− 2528	−58.7	× 95 / 262	−21.3
Sum, rounded to a whole point						−31

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	99,552	2470.0	− 2436	34	× 91 / 253	12.2
4	99,553	2477.3	− 2485	−7.7	× 65 / 253	−2
5	99,554	2457.5	− 2528	−70.5	× 97 / 253	−27
Sum, rounded to a whole point						−17

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	99,211	2438.2	− 2436	2.2	× 71 / 226	0.7
4	99,212	2471.1	− 2485	−13.9	× 93 / 226	−5.7
5	99,213	2487.9	− 2528	−40.1	× 62 / 226	−11
Sum, rounded to a whole point						−16

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −61, −50, −56, −62, −45, −33, −16, −31, −17, −16 → −38.7
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: 6 · 2017→2018: 6 · 2018→2019: 17 · 2019→2022: 12 · 2022→2023: 17 · 2023→2024: 15 · 2024→2025: 14 · 2025→2026: 1 → average 11
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 11 × 2.66 = 29.3. Upper limit −9.4, lower limit −68.

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.