Tolenas 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 5.

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, 45 of the 155 students who took the math test were English learners.

All students

3rd The average 3rd grader scores 74 points under the grade 3 bar. 2362 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 21 points under the grade 3 bar. 2415 vs. 2436. The 5th-grade bar is 2528.

Students fluent in English

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

Grade bars 3rd 35 students 54 points under the grade 3 bar. 4th 35 students 24 points under the grade 3 bar. 5th 40 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 135 points under the grade 3 bar. 4th 15 students 54 points under the grade 3 bar. 5th 18 students 52 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	93,127	2377.2	− 2436	−58.8	× 103 / 274	−22.1
4	93,130	2422.9	− 2485	−62.1	× 92 / 274	−20.9
5	93,131	2412.5	− 2528	−115.5	× 79 / 274	−33.3
Sum, rounded to a whole point						−76

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	86,544	2373.1	− 2436	−62.9	× 116 / 305	−23.9
4	86,546	2408.9	− 2485	−76.1	× 97 / 305	−24.2
5	86,548	2414.6	− 2528	−113.4	× 92 / 305	−34.2
Sum, rounded to a whole point						−82

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	88,938	2361.6	− 2436	−74.4	× 74 / 240	−22.9
4	88,940	2421.3	− 2485	−63.7	× 85 / 240	−22.6
5	88,943	2420.1	− 2528	−107.9	× 81 / 240	−36.4
Sum, rounded to a whole point						−82

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,157	2339.3	− 2436	−96.7	× 64 / 224	−27.6
4	89,158	2422.2	− 2485	−62.8	× 78 / 224	−21.9
5	89,161	2446.4	− 2528	−81.6	× 82 / 224	−29.9
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	89,763	2364.5	− 2436	−71.5	× 65 / 203	−22.9
4	89,764	2436.8	− 2485	−48.2	× 66 / 203	−15.7
5	89,765	2461.7	− 2528	−66.3	× 72 / 203	−23.5
Sum, rounded to a whole point						−62

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,026	2344.7	− 2436	−91.3	× 70 / 398	−16.1
4	90,027	2370.2	− 2485	−114.8	× 68 / 398	−19.6
5	90,028	2390.4	− 2528	−137.6	× 68 / 398	−23.5
6	90,029	2459.6	− 2552	−92.4	× 70 / 398	−16.3
7	90,030	2470.0	− 2567	−97	× 64 / 398	−15.6
8	90,031	2438.0	− 2586	−148	× 58 / 398	−21.6
Sum, rounded to a whole point						−113

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,920	2338.0	− 2436	−98	× 54 / 380	−13.9
4	89,921	2381.6	− 2485	−103.4	× 70 / 380	−19
5	89,922	2370.7	− 2528	−157.3	× 61 / 380	−25.3
6	89,923	2404.4	− 2552	−147.6	× 72 / 380	−28
7	89,924	2453.7	− 2567	−113.3	× 62 / 380	−18.5
8	89,925	2422.2	− 2586	−163.8	× 61 / 380	−26.3
Sum, rounded to a whole point						−131

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,879	2343.5	− 2436	−92.5	× 63 / 354	−16.5
4	89,880	2350.6	− 2485	−134.4	× 50 / 354	−19
5	89,881	2388.2	− 2528	−139.8	× 60 / 354	−23.7
6	89,882	2391.5	− 2552	−160.5	× 60 / 354	−27.2
7	89,883	2436.7	− 2567	−130.3	× 61 / 354	−22.5
8	89,884	2437.7	− 2586	−148.3	× 60 / 354	−25.1
Sum, rounded to a whole point						−134

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,578	2382.4	− 2436	−53.6	× 49 / 160	−16.4
4	89,579	2406.7	− 2485	−78.3	× 63 / 160	−30.8
5	89,580	2378.0	− 2528	−150	× 48 / 160	−45
Sum, rounded to a whole point						−92

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,275	2361.6	− 2436	−74.4	× 47 / 155	−22.6
4	89,276	2403.0	− 2485	−82	× 50 / 155	−26.5
5	89,277	2414.9	− 2528	−113.1	× 58 / 155	−42.3
Sum, rounded to a whole point						−91

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −76, −82, −82, −79, −62, −113, −131, −134, −92, −91 → −94.2
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: 0 · 2017→2018: 3 · 2018→2019: 17 · 2019→2022: 51 · 2022→2023: 18 · 2023→2024: 3 · 2024→2025: 42 · 2025→2026: 1 → average 15.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 15.7 × 2.66 = 41.8. Upper limit −52.4, lower limit −136.

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.