Novato 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 just under the grade 3 bar. 2430 vs. 2436.
4th The average 4th grader meets the grade 4 bar. 2488 vs. 2485.
5th The average 5th grader scores 33 points under the grade 5 bar. 2495 vs. 2528.
6th The average 6th grader scores just under the grade 6 bar. 2545 vs. 2552.
7th The average 7th grader meets the grade 7 bar. 2597 vs. 2567.
8th The average 8th grader meets the grade 8 bar. 2623 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	42,375	2444.3	− 2436	8.3	× 28 / 156	1.5
4	42,378	2522.9	− 2485	37.9	× 28 / 156	6.8
5	42,379	2533.5	− 2528	5.5	× 27 / 156	1
6	42,382	2588.8	− 2552	36.8	× 26 / 156	6.1
7	42,383	2604.5	− 2567	37.5	× 26 / 156	6.3
8	42,386	2637.0	− 2586	51	× 21 / 156	6.9
Sum, rounded to a whole point						28

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	39,186	2409.7	− 2436	−26.3	× 27 / 155	−4.6
4	39,187	2500.2	− 2485	15.2	× 28 / 155	2.7
5	39,190	2507.9	− 2528	−20.1	× 28 / 155	−3.6
6	39,191	2583.5	− 2552	31.5	× 24 / 155	4.9
7	39,194	2622.2	− 2567	55.2	× 25 / 155	8.9
8	39,196	2644.3	− 2586	58.3	× 23 / 155	8.7
Sum, rounded to a whole point						17

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	40,169	2443.1	− 2436	7.1	× 27 / 161	1.2
4	40,170	2456.7	− 2485	−28.3	× 27 / 161	−4.7
5	40,172	2501.0	− 2528	−27	× 28 / 161	−4.7
6	40,175	2570.5	− 2552	18.5	× 27 / 161	3.1
7	40,176	2604.6	− 2567	37.6	× 25 / 161	5.8
8	40,178	2665.1	− 2586	79.1	× 27 / 161	13.3
Sum, rounded to a whole point						14

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	40,194	2451.6	− 2436	15.6	× 29 / 159	2.8
4	40,196	2533.9	− 2485	48.9	× 27 / 159	8.3
5	40,198	2487.0	− 2528	−41	× 26 / 159	−6.7
6	40,199	2581.7	− 2552	29.7	× 26 / 159	4.9
7	40,201	2602.6	− 2567	35.6	× 27 / 159	6
8	40,203	2640.3	− 2586	54.3	× 24 / 159	8.2
Sum, rounded to a whole point						24

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	40,348	2431.0	− 2436	−5	× 27 / 164	−0.8
4	40,349	2494.1	− 2485	9.1	× 30 / 164	1.7
5	40,350	2511.3	− 2528	−16.7	× 27 / 164	−2.7
6	40,351	2540.0	− 2552	−12	× 28 / 164	−2
7	40,352	2601.9	− 2567	34.9	× 26 / 164	5.5
8	40,353	2630.2	− 2586	44.2	× 26 / 164	7
Sum, rounded to a whole point						9

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	39,315	2457.0	− 2436	21	× 27 / 161	3.5
4	39,316	2500.6	− 2485	15.6	× 27 / 161	2.6
5	39,317	2483.9	− 2528	−44.1	× 25 / 161	−6.8
6	39,318	2563.4	− 2552	11.4	× 30 / 161	2.1
7	39,319	2562.8	− 2567	−4.2	× 25 / 161	−0.7
8	39,320	2539.5	− 2586	−46.5	× 27 / 161	−7.8
Sum, rounded to a whole point						−7

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	40,125	2418.9	− 2436	−17.1	× 28 / 161	−3
4	40,126	2488.9	− 2485	3.9	× 28 / 161	0.7
5	40,127	2535.6	− 2528	7.6	× 28 / 161	1.3
6	40,128	2544.5	− 2552	−7.5	× 25 / 161	−1.2
7	40,129	2632.9	− 2567	65.9	× 27 / 161	11.1
8	40,130	2607.9	− 2586	21.9	× 25 / 161	3.4
Sum, rounded to a whole point						12

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	40,174	2466.1	− 2436	30.1	× 28 / 162	5.2
4	40,175	2478.4	− 2485	−6.6	× 28 / 162	−1.1
5	40,176	2489.7	− 2528	−38.3	× 28 / 162	−6.6
6	40,177	2521.9	− 2552	−30.1	× 25 / 162	−4.6
7	40,178	2564.5	− 2567	−2.5	× 26 / 162	−0.4
8	40,179	2662.4	− 2586	76.4	× 27 / 162	12.7
Sum, rounded to a whole point						5

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	39,989	2431.3	− 2436	−4.7	× 28 / 159	−0.8
4	39,990	2471.6	− 2485	−13.4	× 28 / 159	−2.4
5	39,991	2481.3	− 2528	−46.7	× 27 / 159	−7.9
6	39,992	2560.0	− 2552	8	× 26 / 159	1.3
7	39,993	2582.6	− 2567	15.6	× 24 / 159	2.4
8	39,994	2551.0	− 2586	−35	× 26 / 159	−5.7
Sum, rounded to a whole point						−13

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	39,762	2441.0	− 2436	5	× 26 / 159	0.8
4	39,763	2476.6	− 2485	−8.4	× 28 / 159	−1.5
5	39,764	2514.6	− 2528	−13.4	× 28 / 159	−2.4
6	39,765	2552.1	− 2552	0.1	× 27 / 159	0
7	39,766	2580.1	− 2567	13.1	× 27 / 159	2.2
8	39,767	2577.6	− 2586	−8.4	× 23 / 159	−1.2
Sum, rounded to a whole point						−2

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	39,670	2429.8	− 2436	−6.2	× 26 / 159	−1
4	39,671	2488.3	− 2485	3.3	× 27 / 159	0.6
5	39,672	2494.7	− 2528	−33.3	× 27 / 159	−5.7
6	39,673	2545.0	− 2552	−7	× 28 / 159	−1.2
7	39,674	2596.7	− 2567	29.7	× 28 / 159	5.2
8	39,675	2622.8	− 2586	36.8	× 23 / 159	5.3
Sum, rounded to a whole point						3

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 28, 17, 14, 24, 9, −7, 12, 5, −13, −2, 3 → 8.2
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: 3 · 2017→2018: 10 · 2018→2019: 15 · 2019→2021: 16 · 2021→2022: 19 · 2022→2023: 7 · 2023→2024: 18 · 2024→2025: 11 · 2025→2026: 5 → average 11.5
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 11.5 × 2.66 = 30.6. Upper limit 38.8, lower limit −22.4.

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.