Community Montessori: 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.

3rd The average 3rd grader meets the grade 3 bar. 2440 vs. 2436.
4th The average 4th grader scores 13 points under the grade 4 bar. 2472 vs. 2485.
5th The average 5th grader scores 17 points under the grade 5 bar. 2511 vs. 2528.
6th The average 6th grader scores 12 points under the grade 5 bar. 2516 vs. 2528. The 6th-grade bar is 2552.
7th The average 7th grader scores 18 points under the grade 6 bar. 2534 vs. 2552. The 7th-grade bar is 2567.
8th The average 8th grader scores 15 points under the grade 8 bar. 2571 vs. 2586.

2026 results. "Meets standard" is the state's mark for being on track for that grade.

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.

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,193	2410.9	− 2436	−25.1	× 100 / 333	−7.5
4	67,194	2489.1	− 2485	4.1	× 73 / 333	0.9
5	67,195	2480.8	− 2528	−47.2	× 66 / 333	−9.4
6	67,196	2526.9	− 2552	−25.1	× 46 / 333	−3.5
7	67,197	2581.4	− 2567	14.4	× 24 / 333	1
8	67,198	2554.3	− 2586	−31.7	× 24 / 333	−2.3
Sum, rounded to a whole point						−21

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,317	2440.4	− 2436	4.4	× 88 / 394	1
4	67,318	2480.3	− 2485	−4.7	× 80 / 394	−1
5	67,319	2508.0	− 2528	−20	× 83 / 394	−4.2
6	67,320	2533.0	− 2552	−19	× 69 / 394	−3.3
7	67,321	2526.9	− 2567	−40.1	× 40 / 394	−4.1
8	67,322	2518.1	− 2586	−67.9	× 34 / 394	−5.9
Sum, rounded to a whole point						−17

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,329	2434.1	− 2436	−1.9	× 98 / 397	−0.5
4	67,330	2481.0	− 2485	−4	× 80 / 397	−0.8
5	67,331	2505.0	− 2528	−23	× 76 / 397	−4.4
6	67,332	2521.9	− 2552	−30.1	× 62 / 397	−4.7
7	67,333	2559.8	− 2567	−7.2	× 46 / 397	−0.8
8	67,334	2564.1	− 2586	−21.9	× 35 / 397	−1.9
Sum, rounded to a whole point						−13

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,317	2439.8	− 2436	3.8	× 93 / 398	0.9
4	67,318	2473.3	− 2485	−11.7	× 91 / 398	−2.7
5	67,319	2503.9	− 2528	−24.1	× 70 / 398	−4.2
6	67,320	2542.1	− 2552	−9.9	× 60 / 398	−1.5
7	67,321	2513.0	− 2567	−54	× 43 / 398	−5.8
8	67,322	2550.7	− 2586	−35.3	× 41 / 398	−3.6
Sum, rounded to a whole point						−17

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,067	2436.7	− 2436	0.7	× 84 / 399	0.1
4	67,068	2481.7	− 2485	−3.3	× 88 / 399	−0.7
5	67,069	2494.2	− 2528	−33.8	× 91 / 399	−7.7
6	67,070	2535.5	− 2552	−16.5	× 52 / 399	−2.2
7	67,071	2555.7	− 2567	−11.3	× 46 / 399	−1.3
8	67,072	2524.3	− 2586	−61.7	× 38 / 399	−5.9
Sum, rounded to a whole point						−18

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,100	2439.6	− 2436	3.6	× 93 / 416	0.8
4	67,101	2472.0	− 2485	−13	× 82 / 416	−2.6
5	67,102	2510.9	− 2528	−17.1	× 88 / 416	−3.6
6	67,103	2515.6	− 2552	−36.4	× 77 / 416	−6.7
7	67,104	2533.7	− 2567	−33.3	× 36 / 416	−2.9
8	67,105	2571.3	− 2586	−14.7	× 40 / 416	−1.4
Sum, rounded to a whole point						−16

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −21, −17, −13, −17, −18, −16 → −17
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2019→2022: 4 · 2022→2023: 4 · 2023→2024: 4 · 2024→2025: 1 · 2025→2026: 2 → average 3
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 3 × 2.66 = 8. Upper limit −9, lower limit −25.

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 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.