F. C. Joyce 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, 116 of the 343 students who took the math test were English learners.

All students

3rd The average 3rd grader scores 61 points under the grade 3 bar. 2375 vs. 2436.
4th The average 4th grader scores 26 points under the grade 3 bar. 2410 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 24 points under the grade 3 bar. 2412 vs. 2436. The 5th-grade bar is 2528.
6th The average 6th grader scores 27 points under the grade 4 bar. 2458 vs. 2485. The 6th-grade bar is 2552.
7th The average 7th grader scores 37 points under the grade 4 bar. 2449 vs. 2485. The 7th-grade bar is 2567.
8th The average 8th grader scores 40 points under the grade 4 bar. 2445 vs. 2485. 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 33 students 55 points under the grade 3 bar. 5th 35 students Just under the grade 3 bar. 6th 41 students 36 points under the grade 5 bar. 7th 42 students 12 points under the grade 4 bar. 8th 34 students Just 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 19 students 72 points under the grade 3 bar. 5th 22 students 52 points under the grade 3 bar. 6th 23 students 39 points under the grade 3 bar. 7th 27 students 26 points under the grade 3 bar. 8th 15 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	63,401	2343.9	− 2436	−92.1	× 59 / 322	−16.9
4	63,402	2424.0	− 2485	−61	× 60 / 322	−11.4
5	63,405	2445.6	− 2528	−82.4	× 59 / 322	−15.1
6	63,406	2469.2	− 2552	−82.8	× 58 / 322	−14.9
7	63,409	2458.6	− 2567	−108.4	× 42 / 322	−14.1
8	63,410	2477.5	− 2586	−108.5	× 44 / 322	−14.8
Sum, rounded to a whole point						−87

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	58,817	2361.4	− 2436	−74.6	× 56 / 328	−12.7
4	58,820	2395.9	− 2485	−89.1	× 56 / 328	−15.2
5	58,822	2437.9	− 2528	−90.1	× 62 / 328	−17
6	58,823	2436.2	− 2552	−115.8	× 62 / 328	−21.9
7	58,826	2463.0	− 2567	−104	× 55 / 328	−17.4
8	58,828	2462.9	− 2586	−123.1	× 37 / 328	−13.9
Sum, rounded to a whole point						−98

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,530	2347.0	− 2436	−89	× 51 / 320	−14.2
4	60,533	2432.0	− 2485	−53	× 59 / 320	−9.8
5	60,534	2401.7	− 2528	−126.3	× 47 / 320	−18.6
6	60,536	2438.7	− 2552	−113.3	× 55 / 320	−19.5
7	60,539	2429.3	− 2567	−137.7	× 57 / 320	−24.5
8	60,541	2449.0	− 2586	−137	× 51 / 320	−21.8
Sum, rounded to a whole point						−108

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,655	2365.2	− 2436	−70.8	× 56 / 352	−11.3
4	60,658	2401.5	− 2485	−83.5	× 55 / 352	−13
5	60,659	2417.0	− 2528	−111	× 55 / 352	−17.3
6	60,662	2405.9	− 2552	−146.1	× 56 / 352	−23.2
7	60,663	2429.1	− 2567	−137.9	× 65 / 352	−25.5
8	60,666	2441.8	− 2586	−144.2	× 65 / 352	−26.6
Sum, rounded to a whole point						−117

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,909	2365.8	− 2436	−70.2	× 52 / 349	−10.5
4	60,910	2424.0	− 2485	−61	× 55 / 349	−9.6
5	60,911	2471.6	− 2528	−56.4	× 53 / 349	−8.6
6	60,912	2448.2	− 2552	−103.8	× 59 / 349	−17.5
7	60,913	2423.5	− 2567	−143.5	× 66 / 349	−27.1
8	60,914	2435.5	− 2586	−150.5	× 64 / 349	−27.6
Sum, rounded to a whole point						−101

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	61,013	2337.5	− 2436	−98.5	× 57 / 359	−15.6
4	61,014	2379.5	− 2485	−105.5	× 61 / 359	−17.9
5	61,015	2433.8	− 2528	−94.2	× 62 / 359	−16.3
6	61,016	2410.2	− 2552	−141.8	× 61 / 359	−24.1
7	61,017	2424.0	− 2567	−143	× 52 / 359	−20.7
8	61,018	2388.8	− 2586	−197.2	× 66 / 359	−36.3
Sum, rounded to a whole point						−131

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,960	2372.8	− 2436	−63.2	× 48 / 335	−9.1
4	60,961	2395.2	− 2485	−89.8	× 58 / 335	−15.5
5	60,962	2427.9	− 2528	−100.1	× 55 / 335	−16.4
6	60,963	2471.8	− 2552	−80.2	× 60 / 335	−14.4
7	60,964	2385.5	− 2567	−181.5	× 69 / 335	−37.4
8	60,965	2411.7	− 2586	−174.3	× 45 / 335	−23.4
Sum, rounded to a whole point						−116

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,905	2346.9	− 2436	−89.1	× 54 / 330	−14.6
4	60,906	2414.6	− 2485	−70.4	× 46 / 330	−9.8
5	60,907	2410.9	− 2528	−117.1	× 64 / 330	−22.7
6	60,908	2494.9	− 2552	−57.1	× 51 / 330	−8.8
7	60,909	2437.1	− 2567	−129.9	× 58 / 330	−22.8
8	60,910	2430.2	− 2586	−155.8	× 57 / 330	−26.9
Sum, rounded to a whole point						−106

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,674	2390.8	− 2436	−45.2	× 54 / 364	−6.7
4	60,675	2406.0	− 2485	−79	× 56 / 364	−12.2
5	60,676	2431.5	− 2528	−96.5	× 63 / 364	−16.7
6	60,677	2482.2	− 2552	−69.8	× 69 / 364	−13.2
7	60,678	2435.8	− 2567	−131.2	× 61 / 364	−22
8	60,679	2468.8	− 2586	−117.2	× 61 / 364	−19.6
Sum, rounded to a whole point						−90

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,611	2374.9	− 2436	−61.1	× 52 / 343	−9.3
4	60,612	2409.7	− 2485	−75.3	× 52 / 343	−11.4
5	60,613	2411.9	− 2528	−116.1	× 57 / 343	−19.3
6	60,614	2457.6	− 2552	−94.4	× 64 / 343	−17.6
7	60,615	2448.5	− 2567	−118.5	× 69 / 343	−23.8
8	60,616	2445.3	− 2586	−140.7	× 49 / 343	−20.1
Sum, rounded to a whole point						−102

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −87, −98, −108, −117, −101, −131, −116, −106, −90, −102 → −105.6
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 11 · 2016→2017: 10 · 2017→2018: 9 · 2018→2019: 16 · 2019→2022: 30 · 2022→2023: 15 · 2023→2024: 10 · 2024→2025: 16 · 2025→2026: 12 → average 14.3
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 14.3 × 2.66 = 38. Upper limit −67.6, lower limit −143.6.

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.