Toddy Thomas Middle: 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 4 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

5th The average 5th grader scores 37 points under the grade 4 bar. 2448 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores 21 points under the grade 4 bar. 2464 vs. 2485. 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 5th 82 students 26 points under the grade 4 bar. 6th 81 students 12 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 5th 16 students 47 points under the grade 3 bar. 6th 14 students 23 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
5	14,550	2452.1	− 2528	−75.9	× 50 / 239	−15.9
6	14,553	2462.3	− 2552	−89.7	× 58 / 239	−21.8
7	14,554	2473.5	− 2567	−93.5	× 68 / 239	−26.6
8	14,557	2486.5	− 2586	−99.5	× 63 / 239	−26.2
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
5	13,577	2457.7	− 2528	−70.3	× 65 / 227	−20.1
6	13,579	2461.7	− 2552	−90.3	× 50 / 227	−19.9
7	13,581	2535.2	− 2567	−31.8	× 53 / 227	−7.4
8	13,583	2515.5	− 2586	−70.5	× 59 / 227	−18.3
Sum, rounded to a whole point						−66

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	13,906	2470.3	− 2528	−57.7	× 61 / 227	−15.5
6	13,907	2492.0	− 2552	−60	× 63 / 227	−16.7
7	13,909	2496.8	− 2567	−70.2	× 46 / 227	−14.2
8	13,911	2532.2	− 2586	−53.8	× 57 / 227	−13.5
Sum, rounded to a whole point						−60

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	13,906	2492.8	− 2528	−35.2	× 42 / 216	−6.8
6	13,907	2488.3	− 2552	−63.7	× 66 / 216	−19.5
7	13,910	2503.1	− 2567	−63.9	× 66 / 216	−19.5
8	13,911	2486.3	− 2586	−99.7	× 42 / 216	−19.4
Sum, rounded to a whole point						−65

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	14,027	2488.3	− 2528	−39.7	× 67 / 243	−10.9
6	14,028	2490.1	− 2552	−61.9	× 47 / 243	−12
7	14,029	2497.8	− 2567	−69.2	× 64 / 243	−18.2
8	14,030	2522.1	− 2586	−63.9	× 65 / 243	−17.1
Sum, rounded to a whole point						−58

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	13,695	2410.1	− 2528	−117.9	× 55 / 206	−31.5
6	13,696	2468.0	− 2552	−84	× 54 / 206	−22
7	13,697	2483.1	− 2567	−83.9	× 56 / 206	−22.8
8	13,698	2496.5	− 2586	−89.5	× 41 / 206	−17.8
Sum, rounded to a whole point						−94

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	14,018	2425.8	− 2528	−102.2	× 67 / 254	−27
6	14,019	2421.3	− 2552	−130.7	× 63 / 254	−32.4
7	14,020	2481.1	− 2567	−85.9	× 55 / 254	−18.6
8	14,021	2486.3	− 2586	−99.7	× 69 / 254	−27.1
Sum, rounded to a whole point						−105

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	13,989	2451.6	− 2528	−76.4	× 111 / 230	−36.9
6	13,990	2438.1	− 2552	−113.9	× 119 / 230	−58.9
Sum, rounded to a whole point						−96

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	13,946	2442.4	− 2528	−85.6	× 131 / 231	−48.5
6	13,947	2455.7	− 2552	−96.3	× 100 / 231	−41.7
Sum, rounded to a whole point						−90

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	13,906	2440.5	− 2528	−87.5	× 95 / 225	−36.9
6	13,907	2455.8	− 2552	−96.2	× 130 / 225	−55.6
Sum, rounded to a whole point						−93

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	13,928	2448.0	− 2528	−80	× 98 / 193	−40.6
6	13,929	2464.0	− 2552	−88	× 95 / 193	−43.3
Sum, rounded to a whole point						−84

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −90, −66, −60, −65, −58, −94, −105, −96, −90, −93, −84 → −81.9
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 24 · 2016→2017: 6 · 2017→2018: 5 · 2018→2019: 7 · 2019→2021: 36 · 2021→2022: 11 · 2022→2023: 9 · 2023→2024: 6 · 2024→2025: 3 · 2025→2026: 9 → average 11.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 11.6 × 2.66 = 30.9. Upper limit −51, lower limit −112.8.

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.