Alexander Hamilton 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 8.

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, 130 of the 380 students who took the math test were English learners.

All students

3rd The average 3rd grader scores 83 points under the grade 3 bar. 2353 vs. 2436.
4th The average 4th grader scores 64 points under the grade 3 bar. 2372 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores just under the grade 3 bar. 2428 vs. 2436. The 5th-grade bar is 2528.
6th The average 6th grader scores 38 points under the grade 3 bar. 2398 vs. 2436. The 6th-grade bar is 2552.
7th The average 7th grader scores 40 points under the grade 4 bar. 2445 vs. 2485. The 7th-grade bar is 2567.
8th The average 8th grader scores 31 points under the grade 5 bar. 2497 vs. 2528. The 8th-grade bar is 2586.

Students fluent in English

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

Grade bars 3rd 44 students 84 points under the grade 3 bar. 4th 46 students 52 points under the grade 3 bar. 5th 39 students 31 points under the grade 4 bar. 6th 34 students 23 points under the grade 3 bar. 7th 46 students Just under the grade 3 bar. 8th 41 students 13 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 12 students 81 points under the grade 3 bar. 4th 19 students 92 points under the grade 3 bar. 5th 27 students 45 points under the grade 3 bar. 6th 27 students 56 points under the grade 3 bar. 7th 27 students 19 points under the grade 4 bar. 8th 18 students 30 points 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	80,523	2305.8	− 2436	−130.2	× 102 / 575	−23.1
4	80,525	2369.2	− 2485	−115.8	× 99 / 575	−19.9
5	80,527	2408.7	− 2528	−119.3	× 91 / 575	−18.9
6	80,529	2446.8	− 2552	−105.2	× 102 / 575	−18.7
7	80,531	2479.9	− 2567	−87.1	× 93 / 575	−14.1
8	80,533	2473.3	− 2586	−112.7	× 88 / 575	−17.2
Sum, rounded to a whole point						−112

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	74,625	2339.2	− 2436	−96.8	× 65 / 549	−11.5
4	74,626	2373.1	− 2485	−111.9	× 106 / 549	−21.6
5	74,628	2391.6	− 2528	−136.4	× 91 / 549	−22.6
6	74,631	2412.5	− 2552	−139.5	× 90 / 549	−22.9
7	74,632	2494.0	− 2567	−73	× 96 / 549	−12.8
8	74,634	2439.8	− 2586	−146.2	× 101 / 549	−26.9
Sum, rounded to a whole point						−118

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,609	2329.4	− 2436	−106.6	× 97 / 563	−18.4
4	76,612	2394.3	− 2485	−90.7	× 68 / 563	−11
5	76,613	2412.5	− 2528	−115.5	× 99 / 563	−20.3
6	76,616	2400.7	− 2552	−151.3	× 95 / 563	−25.5
7	76,617	2456.0	− 2567	−111	× 112 / 563	−22.1
8	76,619	2485.8	− 2586	−100.2	× 92 / 563	−16.4
Sum, rounded to a whole point						−114

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,792	2324.6	− 2436	−111.4	× 108 / 599	−20.1
4	76,795	2386.3	− 2485	−98.7	× 90 / 599	−14.8
5	76,796	2440.0	− 2528	−88	× 69 / 599	−10.1
6	76,799	2427.5	− 2552	−124.5	× 102 / 599	−21.2
7	76,800	2438.5	− 2567	−128.5	× 126 / 599	−27
8	76,803	2426.0	− 2586	−160	× 104 / 599	−27.8
Sum, rounded to a whole point						−121

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,299	2350.8	− 2436	−85.2	× 98 / 625	−13.4
4	77,300	2379.1	− 2485	−105.9	× 93 / 625	−15.8
5	77,301	2421.9	− 2528	−106.1	× 94 / 625	−16
6	77,302	2429.8	− 2552	−122.2	× 85 / 625	−16.6
7	77,303	2452.0	− 2567	−115	× 126 / 625	−23.2
8	77,304	2427.2	− 2586	−158.8	× 129 / 625	−32.8
Sum, rounded to a whole point						−118

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,451	2330.6	− 2436	−105.4	× 78 / 535	−15.4
4	77,452	2369.9	− 2485	−115.1	× 70 / 535	−15.1
5	77,453	2401.6	− 2528	−126.4	× 93 / 535	−22
6	77,454	2399.6	− 2552	−152.4	× 96 / 535	−27.3
7	77,455	2420.2	− 2567	−146.8	× 101 / 535	−27.7
8	77,456	2430.4	− 2586	−155.6	× 97 / 535	−28.2
Sum, rounded to a whole point						−136

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,437	2363.8	− 2436	−72.2	× 73 / 495	−10.6
4	77,438	2365.3	− 2485	−119.7	× 70 / 495	−16.9
5	77,439	2397.5	− 2528	−130.5	× 85 / 495	−22.4
6	77,440	2434.6	− 2552	−117.4	× 80 / 495	−19
7	77,441	2398.9	− 2567	−168.1	× 91 / 495	−30.9
8	77,442	2420.4	− 2586	−165.6	× 96 / 495	−32.1
Sum, rounded to a whole point						−132

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,437	2361.5	− 2436	−74.5	× 66 / 421	−11.7
4	77,438	2393.0	− 2485	−92	× 64 / 421	−14
5	77,439	2383.5	− 2528	−144.5	× 64 / 421	−22
6	77,440	2400.6	− 2552	−151.4	× 66 / 421	−23.7
7	77,441	2470.6	− 2567	−96.4	× 67 / 421	−15.3
8	77,442	2437.3	− 2586	−148.7	× 94 / 421	−33.2
Sum, rounded to a whole point						−120

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,091	2347.2	− 2436	−88.8	× 70 / 389	−16
4	77,092	2383.5	− 2485	−101.5	× 64 / 389	−16.7
5	77,093	2370.1	− 2528	−157.9	× 59 / 389	−23.9
6	77,094	2394.9	− 2552	−157.1	× 68 / 389	−27.5
7	77,095	2491.3	− 2567	−75.7	× 61 / 389	−11.9
8	77,096	2481.8	− 2586	−104.2	× 67 / 389	−17.9
Sum, rounded to a whole point						−114

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,989	2352.8	− 2436	−83.2	× 56 / 380	−12.3
4	76,990	2372.1	− 2485	−112.9	× 65 / 380	−19.3
5	76,991	2428.3	− 2528	−99.7	× 66 / 380	−17.3
6	76,992	2398.1	− 2552	−153.9	× 61 / 380	−24.7
7	76,993	2444.9	− 2567	−122.1	× 73 / 380	−23.5
8	76,994	2497.2	− 2586	−88.8	× 59 / 380	−13.8
Sum, rounded to a whole point						−111

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −112, −118, −114, −121, −118, −136, −132, −120, −114, −111 → −119.6
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: 4 · 2017→2018: 7 · 2018→2019: 3 · 2019→2022: 18 · 2022→2023: 4 · 2023→2024: 12 · 2024→2025: 6 · 2025→2026: 3 → average 7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7 × 2.66 = 18.6. Upper limit −101, lower limit −138.2.

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.