Emerson 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 68 points under the grade 3 bar. 2368 vs. 2436.
4th The average 4th grader scores 28 points under the grade 3 bar. 2408 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 45 points under the grade 4 bar. 2440 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores 49 points under the grade 4 bar. 2436 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 64 students 66 points under the grade 3 bar. 4th 73 students 18 points under the grade 3 bar. 5th 71 students 36 points under the grade 4 bar. 6th 82 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 21 students 73 points under the grade 3 bar. 4th 21 students 66 points under the grade 3 bar. 5th 17 students 35 points under the grade 3 bar. 6th 16 students 116 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	58,171	2402.0	− 2436	−34	× 125 / 408	−10.4
4	58,172	2434.7	− 2485	−50.3	× 101 / 408	−12.5
5	58,175	2471.2	− 2528	−56.8	× 92 / 408	−12.8
6	58,176	2488.5	− 2552	−63.5	× 90 / 408	−14
Sum, rounded to a whole point						−50

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	53,993	2408.8	− 2436	−27.2	× 125 / 454	−7.5
4	53,995	2438.5	− 2485	−46.5	× 140 / 454	−14.3
5	53,997	2456.6	− 2528	−71.4	× 93 / 454	−14.6
6	53,999	2485.3	− 2552	−66.7	× 96 / 454	−14.1
Sum, rounded to a whole point						−51

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,573	2436.0	− 2436	0	× 102 / 445	0
4	55,575	2448.8	− 2485	−36.2	× 118 / 445	−9.6
5	55,577	2454.7	− 2528	−73.3	× 130 / 445	−21.4
6	55,578	2479.3	− 2552	−72.7	× 95 / 445	−15.5
Sum, rounded to a whole point						−47

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,670	2397.5	− 2436	−38.5	× 106 / 428	−9.5
4	55,672	2461.8	− 2485	−23.2	× 102 / 428	−5.5
5	55,674	2467.4	− 2528	−60.6	× 94 / 428	−13.3
6	55,676	2451.1	− 2552	−100.9	× 126 / 428	−29.7
Sum, rounded to a whole point						−58

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,929	2405.4	− 2436	−30.6	× 100 / 390	−7.8
4	55,930	2450.0	− 2485	−35	× 104 / 390	−9.3
5	55,931	2478.6	− 2528	−49.4	× 93 / 390	−11.8
6	55,932	2471.1	− 2552	−80.9	× 93 / 390	−19.3
Sum, rounded to a whole point						−48

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,993	2371.8	− 2436	−64.2	× 75 / 336	−14.3
4	55,994	2412.0	− 2485	−73	× 89 / 336	−19.3
5	55,995	2440.6	− 2528	−87.4	× 81 / 336	−21.1
6	55,996	2460.2	− 2552	−91.8	× 91 / 336	−24.9
Sum, rounded to a whole point						−80

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,942	2380.6	− 2436	−55.4	× 91 / 333	−15.1
4	55,943	2423.8	− 2485	−61.2	× 72 / 333	−13.2
5	55,944	2451.3	− 2528	−76.7	× 83 / 333	−19.1
6	55,945	2460.7	− 2552	−91.3	× 87 / 333	−23.9
Sum, rounded to a whole point						−71

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,818	2364.3	− 2436	−71.7	× 84 / 327	−18.4
4	55,819	2410.5	− 2485	−74.5	× 92 / 327	−21
5	55,820	2474.6	− 2528	−53.4	× 65 / 327	−10.6
6	55,821	2452.6	− 2552	−99.4	× 86 / 327	−26.1
Sum, rounded to a whole point						−76

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,582	2377.2	− 2436	−58.8	× 103 / 361	−16.8
4	55,583	2426.4	− 2485	−58.6	× 84 / 361	−13.6
5	55,584	2441.2	− 2528	−86.8	× 96 / 361	−23.1
6	55,585	2462.3	− 2552	−89.7	× 78 / 361	−19.4
Sum, rounded to a whole point						−73

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,505	2368.1	− 2436	−67.9	× 85 / 365	−15.8
4	55,506	2407.8	− 2485	−77.2	× 94 / 365	−19.9
5	55,507	2439.8	− 2528	−88.2	× 88 / 365	−21.3
6	55,508	2436.1	− 2552	−115.9	× 98 / 365	−31.1
Sum, rounded to a whole point						−88

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −50, −51, −47, −58, −48, −80, −71, −76, −73, −88 → −64.2
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 1 · 2016→2017: 4 · 2017→2018: 11 · 2018→2019: 10 · 2019→2022: 32 · 2022→2023: 9 · 2023→2024: 5 · 2024→2025: 3 · 2025→2026: 15 → average 10
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10 × 2.66 = 26.6. Upper limit −37.6, lower limit −90.8.

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.