Danbrook 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, 99 of the 229 students who took the math test were English learners.

All students

3rd The average 3rd grader scores just under the grade 3 bar. 2428 vs. 2436.
4th The average 4th grader meets the grade 4 bar. 2499 vs. 2485.
5th The average 5th grader scores 18 points under the grade 5 bar. 2510 vs. 2528.
6th The average 6th grader scores 22 points under the grade 6 bar. 2531 vs. 2552.

Students fluent in English

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

Grade bars 3rd 31 students Meets the grade 3 bar. 4th 25 students Meets the grade 4 bar. 5th 39 students Meets the grade 5 bar. 6th 35 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 26 students 30 points under the grade 3 bar. 4th 18 students 14 points under the grade 4 bar. 5th 31 students Just under the grade 4 bar. 6th 24 students Just under the grade 4 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	48,999	2436.8	− 2436	0.8	× 92 / 371	0.2
4	49,000	2455.1	− 2485	−29.9	× 98 / 371	−7.9
5	49,003	2496.7	− 2528	−31.3	× 103 / 371	−8.7
6	49,005	2502.8	− 2552	−49.2	× 78 / 371	−10.3
Sum, rounded to a whole point						−27

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	45,547	2424.5	− 2436	−11.5	× 87 / 380	−2.6
4	45,550	2468.5	− 2485	−16.5	× 91 / 380	−4
5	45,552	2498.6	− 2528	−29.4	× 99 / 380	−7.7
6	45,554	2516.1	− 2552	−35.9	× 103 / 380	−9.7
Sum, rounded to a whole point						−24

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,762	2419.5	− 2436	−16.5	× 95 / 371	−4.2
4	46,764	2471.7	− 2485	−13.3	× 87 / 371	−3.1
5	46,765	2520.3	− 2528	−7.7	× 89 / 371	−1.8
6	46,767	2544.0	− 2552	−8	× 100 / 371	−2.2
Sum, rounded to a whole point						−11

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,771	2434.1	− 2436	−1.9	× 92 / 340	−0.5
4	46,773	2472.3	− 2485	−12.7	× 87 / 340	−3.2
5	46,775	2499.8	− 2528	−28.2	× 77 / 340	−6.4
6	46,777	2556.5	− 2552	4.5	× 84 / 340	1.1
Sum, rounded to a whole point						−9

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,951	2428.5	− 2436	−7.5	× 51 / 313	−1.2
4	46,952	2482.0	− 2485	−3	× 92 / 313	−0.9
5	46,953	2518.6	− 2528	−9.4	× 88 / 313	−2.6
6	46,954	2533.8	− 2552	−18.2	× 82 / 313	−4.8
Sum, rounded to a whole point						−10

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,789	2411.9	− 2436	−24.1	× 74 / 261	−6.8
4	46,790	2467.4	− 2485	−17.6	× 68 / 261	−4.6
5	46,791	2484.6	− 2528	−43.4	× 71 / 261	−11.8
6	46,792	2513.9	− 2552	−38.1	× 48 / 261	−7
Sum, rounded to a whole point						−30

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,777	2413.7	− 2436	−22.3	× 54 / 262	−4.6
4	46,778	2444.9	− 2485	−40.1	× 70 / 262	−10.7
5	46,779	2504.5	− 2528	−23.5	× 71 / 262	−6.4
6	46,780	2529.0	− 2552	−23	× 67 / 262	−5.9
Sum, rounded to a whole point						−28

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,632	2402.6	− 2436	−33.4	× 74 / 284	−8.7
4	46,633	2483.8	− 2485	−1.2	× 54 / 284	−0.2
5	46,634	2474.6	− 2528	−53.4	× 77 / 284	−14.5
6	46,635	2541.3	− 2552	−10.7	× 79 / 284	−3
Sum, rounded to a whole point						−26

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,390	2436.4	− 2436	0.4	× 44 / 244	0.1
4	46,391	2463.8	− 2485	−21.2	× 72 / 244	−6.3
5	46,392	2519.0	− 2528	−9	× 52 / 244	−1.9
6	46,393	2494.1	− 2552	−57.9	× 76 / 244	−18
Sum, rounded to a whole point						−26

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,260	2428.1	− 2436	−7.9	× 57 / 229	−2
4	46,261	2498.8	− 2485	13.8	× 43 / 229	2.6
5	46,262	2509.9	− 2528	−18.1	× 70 / 229	−5.5
6	46,263	2530.5	− 2552	−21.5	× 59 / 229	−5.5
Sum, rounded to a whole point						−10

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −27, −24, −11, −9, −10, −30, −28, −26, −26, −10 → −20.1
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: 13 · 2017→2018: 2 · 2018→2019: 1 · 2019→2022: 20 · 2022→2023: 2 · 2023→2024: 2 · 2024→2025: 0 · 2025→2026: 16 → average 6.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 6.6 × 2.66 = 17.6. Upper limit −2.5, lower limit −37.7.

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.