Village TK-8: 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, 93 of the 294 students who took the math test were English learners.

All students

3rd The average 3rd grader scores 67 points under the grade 3 bar. 2369 vs. 2436.
4th The average 4th grader scores 51 points under the grade 3 bar. 2385 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 19 points under the grade 3 bar. 2417 vs. 2436. The 5th-grade bar is 2528.
6th The average 6th grader scores 28 points under the grade 5 bar. 2501 vs. 2528. The 6th-grade bar is 2552.
7th The average 7th grader scores 42 points under the grade 4 bar. 2443 vs. 2485. The 7th-grade bar is 2567.
8th The average 8th grader scores just under the grade 3 bar. 2434 vs. 2436. 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 29 students 52 points under the grade 3 bar. 4th 24 students 33 points under the grade 3 bar. 5th 28 students 16 points under the grade 3 bar. 6th 27 students Just under the grade 5 bar. 7th 45 students 25 points under the grade 4 bar. 8th 48 students 30 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 11 students 105 points under the grade 3 bar. 4th 17 students 76 points under the grade 3 bar. 5th 16 students 24 points under the grade 3 bar. 6th 13 students 23 points under the grade 4 bar. 7th 18 students 37 points under the grade 3 bar. 8th 18 students 60 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	63,500	2385.4	− 2436	−50.6	× 55 / 416	−6.7
4	63,502	2448.8	− 2485	−36.2	× 59 / 416	−5.1
5	63,504	2440.0	− 2528	−88	× 58 / 416	−12.3
6	63,506	2481.4	− 2552	−70.6	× 59 / 416	−10
7	63,508	2463.6	− 2567	−103.4	× 100 / 416	−24.9
8	63,510	2509.8	− 2586	−76.2	× 85 / 416	−15.6
Sum, rounded to a whole point						−75

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	58,918	2413.4	− 2436	−22.6	× 50 / 403	−2.8
4	58,920	2416.6	− 2485	−68.4	× 56 / 403	−9.5
5	58,921	2436.8	− 2528	−91.2	× 59 / 403	−13.4
6	58,924	2459.9	− 2552	−92.1	× 59 / 403	−13.5
7	58,925	2460.9	− 2567	−106.1	× 93 / 403	−24.5
8	58,928	2483.8	− 2586	−102.2	× 86 / 403	−21.8
Sum, rounded to a whole point						−85

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,631	2399.6	− 2436	−36.4	× 54 / 410	−4.8
4	60,632	2442.8	− 2485	−42.2	× 57 / 410	−5.9
5	60,635	2431.1	− 2528	−96.9	× 50 / 410	−11.8
6	60,636	2471.3	− 2552	−80.7	× 65 / 410	−12.8
7	60,639	2459.0	− 2567	−108	× 98 / 410	−25.8
8	60,641	2470.2	− 2586	−115.8	× 86 / 410	−24.3
Sum, rounded to a whole point						−85

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,755	2380.2	− 2436	−55.8	× 56 / 401	−7.8
4	60,758	2434.7	− 2485	−50.3	× 54 / 401	−6.8
5	60,759	2439.0	− 2528	−89	× 52 / 401	−11.5
6	60,762	2470.5	− 2552	−81.5	× 46 / 401	−9.3
7	60,763	2469.2	− 2567	−97.8	× 98 / 401	−23.9
8	60,766	2471.7	− 2586	−114.3	× 95 / 401	−27.1
Sum, rounded to a whole point						−86

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	61,009	2364.2	− 2436	−71.8	× 45 / 408	−7.9
4	61,010	2420.0	− 2485	−65	× 57 / 408	−9.1
5	61,011	2446.9	− 2528	−81.1	× 59 / 408	−11.7
6	61,012	2494.8	− 2552	−57.2	× 53 / 408	−7.4
7	61,013	2428.9	− 2567	−138.1	× 95 / 408	−32.2
8	61,014	2459.6	− 2586	−126.4	× 99 / 408	−30.7
Sum, rounded to a whole point						−99

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	61,109	2374.8	− 2436	−61.2	× 39 / 264	−9
4	61,110	2392.8	− 2485	−92.2	× 38 / 264	−13.3
5	61,111	2422.8	− 2528	−105.2	× 41 / 264	−16.3
6	61,112	2466.3	− 2552	−85.7	× 22 / 264	−7.1
7	61,113	2469.3	− 2567	−97.7	× 60 / 264	−22.2
8	61,114	2502.1	− 2586	−83.9	× 64 / 264	−20.3
Sum, rounded to a whole point						−88

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	61,056	2368.1	− 2436	−67.9	× 42 / 281	−10.1
4	61,057	2400.6	− 2485	−84.4	× 44 / 281	−13.2
5	61,058	2407.5	− 2528	−120.5	× 43 / 281	−18.4
6	61,059	2440.9	− 2552	−111.1	× 42 / 281	−16.6
7	61,060	2472.7	− 2567	−94.3	× 46 / 281	−15.4
8	61,061	2441.5	− 2586	−144.5	× 64 / 281	−32.9
Sum, rounded to a whole point						−107

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	61,001	2372.4	− 2436	−63.6	× 42 / 290	−9.2
4	61,002	2402.5	− 2485	−82.5	× 42 / 290	−11.9
5	61,003	2417.2	− 2528	−110.8	× 42 / 290	−16
6	61,004	2448.1	− 2552	−103.9	× 40 / 290	−14.3
7	61,005	2498.3	− 2567	−68.7	× 66 / 290	−15.6
8	61,006	2447.3	− 2586	−138.7	× 58 / 290	−27.7
Sum, rounded to a whole point						−95

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,770	2376.0	− 2436	−60	× 43 / 300	−8.6
4	60,771	2415.1	− 2485	−69.9	× 38 / 300	−8.9
5	60,772	2455.7	− 2528	−72.3	× 41 / 300	−9.9
6	60,773	2455.4	− 2552	−96.6	× 43 / 300	−13.8
7	60,774	2439.6	− 2567	−127.4	× 68 / 300	−28.9
8	60,775	2449.0	− 2586	−137	× 67 / 300	−30.6
Sum, rounded to a whole point						−101

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,707	2369.3	− 2436	−66.7	× 40 / 294	−9.1
4	60,708	2385.4	− 2485	−99.6	× 41 / 294	−13.9
5	60,709	2417.4	− 2528	−110.6	× 44 / 294	−16.6
6	60,710	2500.5	− 2552	−51.5	× 40 / 294	−7
7	60,711	2442.7	− 2567	−124.3	× 63 / 294	−26.6
8	60,712	2433.5	− 2586	−152.5	× 66 / 294	−34.2
Sum, rounded to a whole point						−107

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −75, −85, −85, −86, −99, −88, −107, −95, −101, −107 → −92.8
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 10 · 2016→2017: 0 · 2017→2018: 1 · 2018→2019: 13 · 2019→2022: 11 · 2022→2023: 19 · 2023→2024: 12 · 2024→2025: 6 · 2025→2026: 6 → average 8.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8.7 × 2.66 = 23.1. Upper limit −69.7, lower limit −115.9.

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.