Hansen 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, 71 of the 222 students who took the math test were English learners.

All students

3rd The average 3rd grader scores just under the grade 3 bar. 2433 vs. 2436.
4th The average 4th grader scores 29 points under the grade 4 bar. 2456 vs. 2485.
5th The average 5th grader scores 19 points under the grade 5 bar. 2509 vs. 2528.
6th The average 6th grader meets the grade 6 bar. 2576 vs. 2552.

Students fluent in English

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

Grade bars 3rd 28 students Meets the grade 3 bar. 4th 41 students Just under the grade 4 bar. 5th 40 students 10 points under the grade 5 bar. 6th 42 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 17 students 44 points under the grade 3 bar. 4th 15 students 42 points under the grade 3 bar. 5th 25 students 33 points under the grade 5 bar. 6th 14 students 37 points under the grade 5 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	52,183	2392.4	− 2436	−43.6	× 114 / 428	−11.6
4	52,185	2485.0	− 2485	0	× 98 / 428	0
5	52,187	2458.7	− 2528	−69.3	× 112 / 428	−18.1
6	52,189	2517.8	− 2552	−34.2	× 104 / 428	−8.3
Sum, rounded to a whole point						−38

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	48,486	2408.2	− 2436	−27.8	× 77 / 369	−5.8
4	48,488	2433.6	− 2485	−51.4	× 93 / 369	−13
5	48,490	2497.8	− 2528	−30.2	× 92 / 369	−7.5
6	48,492	2532.9	− 2552	−19.1	× 107 / 369	−5.5
Sum, rounded to a whole point						−32

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	49,811	2421.7	− 2436	−14.3	× 79 / 333	−3.4
4	49,814	2462.7	− 2485	−22.3	× 77 / 333	−5.2
5	49,815	2467.4	− 2528	−60.6	× 87 / 333	−15.8
6	49,817	2586.1	− 2552	34.1	× 90 / 333	9.2
Sum, rounded to a whole point						−15

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	49,826	2416.1	− 2436	−19.9	× 76 / 312	−4.8
4	49,828	2473.4	− 2485	−11.6	× 78 / 312	−2.9
5	49,830	2507.0	− 2528	−21	× 68 / 312	−4.6
6	49,832	2536.3	− 2552	−15.7	× 90 / 312	−4.5
Sum, rounded to a whole point						−17

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	50,023	2422.6	− 2436	−13.4	× 87 / 308	−3.8
4	50,024	2462.1	− 2485	−22.9	× 76 / 308	−5.7
5	50,025	2493.7	− 2528	−34.3	× 72 / 308	−8
6	50,026	2580.5	− 2552	28.5	× 73 / 308	6.8
Sum, rounded to a whole point						−11

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	48,752	2394.2	− 2436	−41.8	× 54 / 264	−8.6
4	48,753	2458.7	− 2485	−26.3	× 65 / 264	−6.5
5	48,754	2470.7	− 2528	−57.3	× 69 / 264	−15
6	48,755	2486.6	− 2552	−65.4	× 76 / 264	−18.8
Sum, rounded to a whole point						−49

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	49,933	2415.1	− 2436	−20.9	× 70 / 264	−5.5
4	49,934	2459.6	− 2485	−25.4	× 49 / 264	−4.7
5	49,935	2489.3	− 2528	−38.7	× 71 / 264	−10.4
6	49,936	2537.2	− 2552	−14.8	× 74 / 264	−4.1
Sum, rounded to a whole point						−25

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	49,891	2437.6	− 2436	1.6	× 57 / 241	0.4
4	49,892	2460.1	− 2485	−24.9	× 72 / 241	−7.4
5	49,893	2490.1	− 2528	−37.9	× 45 / 241	−7.1
6	49,894	2544.0	− 2552	−8	× 67 / 241	−2.2
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	49,742	2429.9	− 2436	−6.1	× 69 / 230	−1.8
4	49,743	2478.9	− 2485	−6.1	× 54 / 230	−1.4
5	49,744	2476.4	− 2528	−51.6	× 62 / 230	−13.9
6	49,745	2567.1	− 2552	15.1	× 45 / 230	3
Sum, rounded to a whole point						−14

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	49,504	2411.6	− 2436	−24.4	× 58 / 242	−5.8
4	49,505	2462.5	− 2485	−22.5	× 67 / 242	−6.2
5	49,506	2509.7	− 2528	−18.3	× 55 / 242	−4.2
6	49,507	2554.0	− 2552	2	× 62 / 242	0.5
Sum, rounded to a whole point						−16

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	49,379	2432.9	− 2436	−3.1	× 45 / 222	−0.6
4	49,380	2455.7	− 2485	−29.3	× 56 / 222	−7.4
5	49,381	2509.3	− 2528	−18.7	× 65 / 222	−5.5
6	49,382	2576.2	− 2552	24.2	× 56 / 222	6.1
Sum, rounded to a whole point						−7

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −38, −32, −15, −17, −11, −49, −25, −16, −14, −16, −7 → −21.8
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 6 · 2016→2017: 17 · 2017→2018: 2 · 2018→2019: 6 · 2019→2021: 38 · 2021→2022: 24 · 2022→2023: 9 · 2023→2024: 2 · 2024→2025: 2 · 2025→2026: 9 → average 11.5
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 11.5 × 2.66 = 30.6. Upper limit 8.8, lower limit −52.4.

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.