Leontine Gracey 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 3 bar

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 72 points under the grade 3 bar. 2364 vs. 2436.
4th The average 4th grader scores 21 points under the grade 3 bar. 2415 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 33 points under the grade 3 bar. 2403 vs. 2436. The 5th-grade bar is 2528.
6th The average 6th grader scores just under the grade 3 bar. 2434 vs. 2436. 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 66 students 68 points under the grade 3 bar. 4th 55 students Just under the grade 3 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 89 points under the grade 3 bar. 4th 22 students 53 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	44,457	2365.6	− 2436	−70.4	× 90 / 265	−23.9
4	44,460	2422.3	− 2485	−62.7	× 90 / 265	−21.3
5	44,461	2425.6	− 2528	−102.4	× 85 / 265	−32.8
Sum, rounded to a whole point						−78

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,188	2357.1	− 2436	−78.9	× 77 / 326	−18.6
4	41,189	2405.5	− 2485	−79.5	× 81 / 326	−19.8
5	41,191	2422.3	− 2528	−105.7	× 85 / 326	−27.6
6	41,193	2453.3	− 2552	−98.7	× 83 / 326	−25.1
Sum, rounded to a whole point						−91

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,208	2370.5	− 2436	−65.5	× 92 / 348	−17.3
4	42,210	2392.1	− 2485	−92.9	× 85 / 348	−22.7
5	42,213	2416.4	− 2528	−111.6	× 82 / 348	−26.3
6	42,214	2461.6	− 2552	−90.4	× 89 / 348	−23.1
Sum, rounded to a whole point						−89

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,221	2371.6	− 2436	−64.4	× 100 / 354	−18.2
4	42,224	2428.4	− 2485	−56.6	× 87 / 354	−13.9
5	42,225	2415.4	− 2528	−112.6	× 77 / 354	−24.5
6	42,228	2452.5	− 2552	−99.5	× 90 / 354	−25.3
Sum, rounded to a whole point						−82

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,364	2384.3	− 2436	−51.7	× 70 / 328	−11
4	42,365	2434.0	− 2485	−51	× 91 / 328	−14.1
5	42,366	2432.3	− 2528	−95.7	× 84 / 328	−24.5
6	42,367	2447.0	− 2552	−105	× 83 / 328	−26.6
Sum, rounded to a whole point						−76

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,125	2381.5	− 2436	−54.5	× 76 / 308	−13.4
4	42,126	2408.2	− 2485	−76.8	× 74 / 308	−18.5
5	42,127	2394.9	− 2528	−133.1	× 76 / 308	−32.8
6	42,128	2435.5	− 2552	−116.5	× 82 / 308	−31
Sum, rounded to a whole point						−96

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,150	2362.1	− 2436	−73.9	× 62 / 280	−16.4
4	42,151	2432.8	− 2485	−52.2	× 79 / 280	−14.7
5	42,152	2428.8	− 2528	−99.2	× 68 / 280	−24.1
6	42,153	2422.8	− 2552	−129.2	× 71 / 280	−32.8
Sum, rounded to a whole point						−88

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,981	2352.8	− 2436	−83.2	× 77 / 276	−23.2
4	41,982	2419.0	− 2485	−66	× 57 / 276	−13.6
5	41,983	2444.0	− 2528	−84	× 73 / 276	−22.2
6	41,984	2453.3	− 2552	−98.7	× 69 / 276	−24.7
Sum, rounded to a whole point						−84

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,744	2357.1	− 2436	−78.9	× 78 / 278	−22.1
4	41,745	2408.3	− 2485	−76.7	× 74 / 278	−20.4
5	41,746	2412.3	− 2528	−115.7	× 59 / 278	−24.6
6	41,747	2511.3	− 2552	−40.7	× 67 / 278	−9.8
Sum, rounded to a whole point						−77

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,646	2364.4	− 2436	−71.6	× 78 / 281	−19.9
4	41,647	2414.8	− 2485	−70.2	× 77 / 281	−19.2
5	41,648	2402.7	− 2528	−125.3	× 66 / 281	−29.4
6	41,649	2433.7	− 2552	−118.3	× 60 / 281	−25.3
Sum, rounded to a whole point						−94

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −78, −91, −89, −82, −76, −96, −88, −84, −77, −94 → −85.5
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 13 · 2016→2017: 2 · 2017→2018: 7 · 2018→2019: 6 · 2019→2022: 20 · 2022→2023: 8 · 2023→2024: 4 · 2024→2025: 7 · 2025→2026: 17 → average 9.3
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.3 × 2.66 = 24.7. Upper limit −60.8, lower limit −110.2.

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.