Dixon Montessori Charter: 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 scores 61 points under the grade 3 bar. 2375 vs. 2436.
4th The average 4th grader scores 11 points under the grade 4 bar. 2474 vs. 2485.
5th The average 5th grader scores just under the grade 4 bar. 2480 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores 23 points under the grade 6 bar. 2529 vs. 2552.
7th The average 7th grader meets the grade 7 bar. 2570 vs. 2567.
8th The average 8th grader meets the grade 8 bar. 2590 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.

2015 from sb_ca2015_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,874	2390.8	− 2436	−45.2	× 48 / 238	−9.1
4	92,875	2434.2	− 2485	−50.8	× 48 / 238	−10.2
5	92,878	2485.6	− 2528	−42.4	× 47 / 238	−8.4
6	92,879	2488.3	− 2552	−63.7	× 45 / 238	−12
7	92,882	2514.6	− 2567	−52.4	× 31 / 238	−6.8
8	92,883	2489.4	− 2586	−96.6	× 19 / 238	−7.7
Sum, rounded to a whole point						−54

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	86,305	2433.8	− 2436	−2.2	× 50 / 248	−0.4
4	86,307	2450.7	− 2485	−34.3	× 46 / 248	−6.4
5	86,310	2469.3	− 2528	−58.7	× 51 / 248	−12.1
6	86,311	2491.9	− 2552	−60.1	× 44 / 248	−10.7
7	86,313	2514.6	− 2567	−52.4	× 31 / 248	−6.6
8	86,315	2520.3	− 2586	−65.7	× 26 / 248	−6.9
Sum, rounded to a whole point						−43

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	88,658	2418.1	− 2436	−17.9	× 50 / 230	−3.9
4	88,660	2478.2	− 2485	−6.8	× 51 / 230	−1.5
5	88,661	2465.8	− 2528	−62.2	× 46 / 230	−12.4
6	88,663	2505.1	− 2552	−46.9	× 37 / 230	−7.5
7	88,665	2513.4	− 2567	−53.6	× 24 / 230	−5.6
8	88,667	2544.2	− 2586	−41.8	× 22 / 230	−4
Sum, rounded to a whole point						−35

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	88,885	2448.9	− 2436	12.9	× 44 / 220	2.6
4	88,886	2448.5	− 2485	−36.5	× 47 / 220	−7.8
5	88,889	2497.0	− 2528	−31	× 51 / 220	−7.2
6	88,890	2497.1	− 2552	−54.9	× 49 / 220	−12.2
7	88,893	2504.6	− 2567	−62.4	× 16 / 220	−4.5
8	88,894	2593.0	− 2586	7	× 13 / 220	0.4
Sum, rounded to a whole point						−29

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,506	2422.2	− 2436	−13.8	× 51 / 238	−3
4	89,507	2477.0	− 2485	−8	× 43 / 238	−1.4
5	89,508	2480.9	− 2528	−47.1	× 50 / 238	−9.9
6	89,509	2529.7	− 2552	−22.3	× 47 / 238	−4.4
7	89,510	2497.0	− 2567	−70	× 32 / 238	−9.4
8	89,511	2516.3	− 2586	−69.7	× 15 / 238	−4.4
Sum, rounded to a whole point						−33

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	87,678	2443.1	− 2436	7.1	× 50 / 258	1.4
4	87,679	2472.2	− 2485	−12.8	× 50 / 258	−2.5
5	87,680	2464.4	− 2528	−63.6	× 46 / 258	−11.3
6	87,681	2513.6	− 2552	−38.4	× 38 / 258	−5.7
7	87,682	2524.0	− 2567	−43	× 40 / 258	−6.7
8	87,683	2560.6	− 2586	−25.4	× 34 / 258	−3.3
Sum, rounded to a whole point						−28

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,752	2457.5	− 2436	21.5	× 49 / 252	4.2
4	89,753	2476.1	− 2485	−8.9	× 49 / 252	−1.7
5	89,754	2498.6	− 2528	−29.4	× 49 / 252	−5.7
6	89,755	2502.4	− 2552	−49.6	× 41 / 252	−8.1
7	89,756	2571.7	− 2567	4.7	× 32 / 252	0.6
8	89,757	2581.4	− 2586	−4.6	× 32 / 252	−0.6
Sum, rounded to a whole point						−11

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,644	2453.4	− 2436	17.4	× 52 / 264	3.4
4	89,645	2490.0	− 2485	5	× 52 / 264	1
5	89,646	2502.6	− 2528	−25.4	× 52 / 264	−5
6	89,647	2550.4	− 2552	−1.6	× 47 / 264	−0.3
7	89,648	2558.5	− 2567	−8.5	× 33 / 264	−1.1
8	89,649	2626.7	− 2586	40.7	× 28 / 264	4.3
Sum, rounded to a whole point						2

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,603	2422.9	− 2436	−13.1	× 50 / 273	−2.4
4	89,604	2474.8	− 2485	−10.2	× 51 / 273	−1.9
5	89,605	2484.2	− 2528	−43.8	× 51 / 273	−8.2
6	89,606	2509.4	− 2552	−42.6	× 49 / 273	−7.6
7	89,607	2570.5	− 2567	3.5	× 45 / 273	0.6
8	89,608	2559.6	− 2586	−26.4	× 27 / 273	−2.6
Sum, rounded to a whole point						−22

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,307	2444.5	− 2436	8.5	× 51 / 287	1.5
4	89,308	2455.4	− 2485	−29.6	× 50 / 287	−5.2
5	89,309	2500.1	− 2528	−27.9	× 51 / 287	−5
6	89,310	2533.2	− 2552	−18.8	× 50 / 287	−3.3
7	89,311	2562.9	− 2567	−4.1	× 45 / 287	−0.6
8	89,312	2599.1	− 2586	13.1	× 40 / 287	1.8
Sum, rounded to a whole point						−11

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,000	2375.4	− 2436	−60.6	× 52 / 292	−10.8
4	89,001	2474.0	− 2485	−11	× 52 / 292	−2
5	89,002	2480.3	− 2528	−47.7	× 52 / 292	−8.5
6	89,003	2528.6	− 2552	−23.4	× 50 / 292	−4
7	89,004	2569.9	− 2567	2.9	× 48 / 292	0.5
8	89,005	2589.7	− 2586	3.7	× 38 / 292	0.5
Sum, rounded to a whole point						−24

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −54, −43, −35, −29, −33, −28, −11, 2, −22, −11, −24 → −26.2
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: 8 · 2017→2018: 6 · 2018→2019: 4 · 2019→2021: 5 · 2021→2022: 17 · 2022→2023: 13 · 2023→2024: 24 · 2024→2025: 11 · 2025→2026: 13 → average 11.2
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 11.2 × 2.66 = 29.8. Upper limit 3.6, lower limit −56.

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.