Hanson 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 56 points under the grade 3 bar. 2380 vs. 2436.
4th The average 4th grader scores 33 points under the grade 3 bar. 2403 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 34 points under the grade 4 bar. 2451 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores 45 points under the grade 4 bar. 2440 vs. 2485. 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 55 students 40 points under the grade 3 bar. 4th 60 students 24 points under the grade 3 bar. 5th 57 students 15 points under the grade 4 bar. 6th 54 students 26 points under the grade 4 bar.

English learners

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

Grade bars 3rd 14 students 121 points under the grade 3 bar. 4th 14 students 75 points under the grade 3 bar. 5th 15 students 58 points under the grade 3 bar. 6th 15 students 65 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	73,295	2412.7	− 2436	−23.3	× 73 / 295	−5.8
4	73,296	2465.2	− 2485	−19.8	× 73 / 295	−4.9
5	73,299	2460.6	− 2528	−67.4	× 67 / 295	−15.3
6	73,300	2504.7	− 2552	−47.3	× 82 / 295	−13.1
Sum, rounded to a whole point						−39

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,985	2425.2	− 2436	−10.8	× 71 / 291	−2.6
4	67,987	2467.0	− 2485	−18	× 76 / 291	−4.7
5	67,988	2484.0	− 2528	−44	× 78 / 291	−11.8
6	67,991	2512.2	− 2552	−39.8	× 66 / 291	−9
Sum, rounded to a whole point						−28

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	69,801	2413.6	− 2436	−22.4	× 87 / 327	−6
4	69,803	2467.4	− 2485	−17.6	× 66 / 327	−3.6
5	69,806	2481.3	− 2528	−46.7	× 87 / 327	−12.4
6	69,807	2516.8	− 2552	−35.2	× 87 / 327	−9.4
Sum, rounded to a whole point						−31

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	69,958	2403.4	− 2436	−32.6	× 83 / 324	−8.4
4	69,961	2458.0	− 2485	−27	× 88 / 324	−7.3
5	69,962	2478.1	− 2528	−49.9	× 65 / 324	−10
6	69,965	2517.5	− 2552	−34.5	× 88 / 324	−9.4
Sum, rounded to a whole point						−35

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	70,479	2403.7	− 2436	−32.3	× 74 / 307	−7.8
4	70,480	2455.9	− 2485	−29.1	× 81 / 307	−7.7
5	70,481	2467.0	− 2528	−61	× 85 / 307	−16.9
6	70,482	2526.0	− 2552	−26	× 67 / 307	−5.7
Sum, rounded to a whole point						−38

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	70,571	2380.8	− 2436	−55.2	× 68 / 298	−12.6
4	70,572	2445.3	− 2485	−39.7	× 73 / 298	−9.7
5	70,573	2478.3	− 2528	−49.7	× 80 / 298	−13.3
6	70,574	2472.1	− 2552	−79.9	× 77 / 298	−20.6
Sum, rounded to a whole point						−56

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	70,577	2389.6	− 2436	−46.4	× 63 / 292	−10
4	70,578	2430.5	− 2485	−54.5	× 66 / 292	−12.3
5	70,579	2447.2	− 2528	−80.8	× 81 / 292	−22.4
6	70,580	2492.8	− 2552	−59.2	× 82 / 292	−16.6
Sum, rounded to a whole point						−61

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	70,561	2398.8	− 2436	−37.2	× 76 / 308	−9.2
4	70,562	2413.2	− 2485	−71.8	× 73 / 308	−17
5	70,563	2427.8	− 2528	−100.2	× 70 / 308	−22.8
6	70,564	2477.3	− 2552	−74.7	× 89 / 308	−21.6
Sum, rounded to a whole point						−71

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	70,273	2381.6	− 2436	−54.4	× 74 / 290	−13.9
4	70,274	2445.1	− 2485	−39.9	× 77 / 290	−10.6
5	70,275	2424.9	− 2528	−103.1	× 71 / 290	−25.2
6	70,276	2464.7	− 2552	−87.3	× 68 / 290	−20.5
Sum, rounded to a whole point						−70

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	70,306	2379.7	− 2436	−56.3	× 69 / 284	−13.7
4	70,307	2402.7	− 2485	−82.3	× 74 / 284	−21.4
5	70,308	2451.0	− 2528	−77	× 72 / 284	−19.5
6	70,309	2439.8	− 2552	−112.2	× 69 / 284	−27.3
Sum, rounded to a whole point						−82

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −39, −28, −31, −35, −38, −56, −61, −71, −70, −82 → −51.1
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: 3 · 2017→2018: 4 · 2018→2019: 3 · 2019→2022: 18 · 2022→2023: 5 · 2023→2024: 10 · 2024→2025: 1 · 2025→2026: 12 → average 7.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.4 × 2.66 = 19.7. Upper limit −31.4, lower limit −70.8.

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.