Liberty 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, 254 of the 447 students who took the math test were English learners.

All students

3rd The average 3rd grader scores 71 points under the grade 3 bar. 2365 vs. 2436.
4th The average 4th grader scores 31 points under the grade 3 bar. 2405 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 44 points under the grade 4 bar. 2441 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores just under the grade 3 bar. 2429 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 42 students 40 points under the grade 3 bar. 4th 42 students 34 points under the grade 3 bar. 5th 52 students 17 points under the grade 4 bar. 6th 57 students 25 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 67 students 90 points under the grade 3 bar. 4th 62 students 29 points under the grade 3 bar. 5th 75 students 15 points under the grade 3 bar. 6th 50 students 42 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	84,521	2370.3	− 2436	−65.7	× 126 / 508	−16.3
4	84,524	2411.4	− 2485	−73.6	× 146 / 508	−21.2
5	84,525	2399.8	− 2528	−128.2	× 143 / 508	−36.1
6	84,528	2461.9	− 2552	−90.1	× 93 / 508	−16.5
Sum, rounded to a whole point						−90

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	78,329	2356.7	− 2436	−79.3	× 110 / 469	−18.6
4	78,330	2421.9	− 2485	−63.1	× 117 / 469	−15.7
5	78,333	2416.3	− 2528	−111.7	× 128 / 469	−30.5
6	78,334	2440.4	− 2552	−111.6	× 114 / 469	−27.1
Sum, rounded to a whole point						−92

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,486	2380.6	− 2436	−55.4	× 120 / 523	−12.7
4	80,487	2411.2	− 2485	−73.8	× 128 / 523	−18.1
5	80,489	2417.4	− 2528	−110.6	× 133 / 523	−28.1
6	80,491	2441.8	− 2552	−110.2	× 142 / 523	−29.9
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	80,643	2374.5	− 2436	−61.5	× 114 / 490	−14.3
4	80,644	2437.8	− 2485	−47.2	× 124 / 490	−11.9
5	80,646	2415.2	− 2528	−112.8	× 122 / 490	−28.1
6	80,649	2458.4	− 2552	−93.6	× 130 / 490	−24.8
Sum, rounded to a whole point						−79

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	81,160	2369.3	− 2436	−66.7	× 116 / 476	−16.3
4	81,161	2421.6	− 2485	−63.4	× 112 / 476	−14.9
5	81,162	2447.1	− 2528	−80.9	× 123 / 476	−20.9
6	81,163	2435.3	− 2552	−116.7	× 125 / 476	−30.6
Sum, rounded to a whole point						−83

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	81,373	2353.7	− 2436	−82.3	× 101 / 474	−17.5
4	81,374	2394.2	− 2485	−90.8	× 148 / 474	−28.4
5	81,375	2444.8	− 2528	−83.2	× 106 / 474	−18.6
6	81,376	2424.4	− 2552	−127.6	× 119 / 474	−32
Sum, rounded to a whole point						−97

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	81,335	2358.5	− 2436	−77.5	× 131 / 476	−21.3
4	81,336	2397.4	− 2485	−87.6	× 100 / 476	−18.4
5	81,337	2418.4	− 2528	−109.6	× 142 / 476	−32.7
6	81,338	2449.4	− 2552	−102.6	× 103 / 476	−22.2
Sum, rounded to a whole point						−95

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	81,347	2360.0	− 2436	−76	× 120 / 481	−19
4	81,348	2407.5	− 2485	−77.5	× 125 / 481	−20.1
5	81,349	2421.0	− 2528	−107	× 104 / 481	−23.1
6	81,350	2440.6	− 2552	−111.4	× 132 / 481	−30.6
Sum, rounded to a whole point						−93

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	81,015	2355.9	− 2436	−80.1	× 122 / 470	−20.8
4	81,016	2403.6	− 2485	−81.4	× 130 / 470	−22.5
5	81,017	2433.2	− 2528	−94.8	× 113 / 470	−22.8
6	81,018	2406.1	− 2552	−145.9	× 105 / 470	−32.6
Sum, rounded to a whole point						−99

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,937	2365.2	− 2436	−70.8	× 109 / 447	−17.3
4	80,938	2405.0	− 2485	−80	× 104 / 447	−18.6
5	80,939	2440.6	− 2528	−87.4	× 127 / 447	−24.8
6	80,940	2429.2	− 2552	−122.8	× 107 / 447	−29.4
Sum, rounded to a whole point						−90

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −90, −92, −89, −79, −83, −97, −95, −93, −99, −90 → −90.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 2 · 2016→2017: 3 · 2017→2018: 10 · 2018→2019: 4 · 2019→2022: 14 · 2022→2023: 2 · 2023→2024: 2 · 2024→2025: 6 · 2025→2026: 9 → average 5.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 5.8 × 2.66 = 15.4. Upper limit −75.3, lower limit −106.1.

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.