Sherman Thomas 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 60 points under the grade 3 bar. 2376 vs. 2436.
4th The average 4th grader scores 38 points under the grade 4 bar. 2447 vs. 2485.
5th The average 5th grader scores 15 points under the grade 4 bar. 2470 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores 31 points under the grade 4 bar. 2454 vs. 2485. The 6th-grade bar is 2552.
7th The average 7th grader scores 20 points under the grade 4 bar. 2465 vs. 2485. The 7th-grade bar is 2567.
8th The average 8th grader scores 45 points under the grade 4 bar. 2440 vs. 2485. The 8th-grade bar is 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	41,235	2417.0	− 2436	−19	× 19 / 138	−2.6
4	41,238	2421.2	− 2485	−63.8	× 24 / 138	−11.1
5	41,239	2481.3	− 2528	−46.7	× 26 / 138	−8.8
6	41,242	2501.4	− 2552	−50.6	× 22 / 138	−8.1
7	41,243	2522.0	− 2567	−45	× 25 / 138	−8.2
8	41,246	2520.2	− 2586	−65.8	× 22 / 138	−10.5
Sum, rounded to a whole point						−49

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	38,140	2414.3	− 2436	−21.7	× 22 / 138	−3.5
4	38,142	2464.2	− 2485	−20.8	× 20 / 138	−3
5	38,144	2474.9	− 2528	−53.1	× 24 / 138	−9.2
6	38,147	2514.4	− 2552	−37.6	× 26 / 138	−7.1
7	38,149	2542.5	− 2567	−24.5	× 19 / 138	−3.4
8	38,150	2560.4	− 2586	−25.6	× 27 / 138	−5
Sum, rounded to a whole point						−31

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	39,046	2405.6	− 2436	−30.4	× 25 / 134	−5.7
4	39,048	2433.8	− 2485	−51.2	× 18 / 134	−6.9
5	39,051	2495.1	− 2528	−32.9	× 23 / 134	−5.6
6	39,052	2501.3	− 2552	−50.7	× 24 / 134	−9.1
7	39,054	2538.6	− 2567	−28.4	× 26 / 134	−5.5
8	39,057	2584.2	− 2586	−1.8	× 18 / 134	−0.2
Sum, rounded to a whole point						−33

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	39,068	2412.2	− 2436	−23.8	× 22 / 139	−3.8
4	39,070	2454.1	− 2485	−30.9	× 27 / 139	−6
5	39,072	2465.1	− 2528	−62.9	× 25 / 139	−11.3
6	39,073	2486.0	− 2552	−66	× 24 / 139	−11.4
7	39,076	2509.1	− 2567	−57.9	× 20 / 139	−8.3
8	39,077	2526.3	− 2586	−59.7	× 21 / 139	−9
Sum, rounded to a whole point						−50

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	39,214	2417.7	− 2436	−18.3	× 23 / 137	−3.1
4	39,215	2449.8	− 2485	−35.2	× 24 / 137	−6.2
5	39,216	2450.4	− 2528	−77.6	× 25 / 137	−14.2
6	39,217	2504.0	− 2552	−48	× 23 / 137	−8.1
7	39,218	2508.0	− 2567	−59	× 25 / 137	−10.8
8	39,219	2504.7	− 2586	−81.3	× 17 / 137	−10.1
Sum, rounded to a whole point						−52

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	38,977	2371.5	− 2436	−64.5	× 25 / 136	−11.9
4	38,978	2397.0	− 2485	−88	× 22 / 136	−14.2
5	38,979	2434.4	− 2528	−93.6	× 24 / 136	−16.5
6	38,980	2480.2	− 2552	−71.8	× 21 / 136	−11.1
7	38,981	2493.0	− 2567	−74	× 24 / 136	−13.1
8	38,982	2481.6	− 2586	−104.4	× 20 / 136	−15.4
Sum, rounded to a whole point						−82

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	39,030	2389.6	− 2436	−46.4	× 23 / 144	−7.4
4	39,031	2419.3	− 2485	−65.7	× 26 / 144	−11.9
5	39,032	2439.1	− 2528	−88.9	× 25 / 144	−15.4
6	39,033	2461.2	− 2552	−90.8	× 25 / 144	−15.8
7	39,034	2503.2	− 2567	−63.8	× 25 / 144	−11.1
8	39,035	2503.3	− 2586	−82.7	× 20 / 144	−11.5
Sum, rounded to a whole point						−73

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	38,858	2417.1	− 2436	−18.9	× 21 / 135	−2.9
4	38,859	2429.2	− 2485	−55.8	× 24 / 135	−9.9
5	38,860	2402.3	− 2528	−125.7	× 26 / 135	−24.2
6	38,861	2446.2	− 2552	−105.8	× 18 / 135	−14.1
7	38,862	2451.3	− 2567	−115.7	× 23 / 135	−19.7
8	38,863	2501.2	− 2586	−84.8	× 23 / 135	−14.4
Sum, rounded to a whole point						−85

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	38,629	2394.8	− 2436	−41.2	× 20 / 144	−5.7
4	38,630	2438.6	− 2485	−46.4	× 24 / 144	−7.7
5	38,631	2443.3	− 2528	−84.7	× 27 / 144	−15.9
6	38,632	2413.2	− 2552	−138.8	× 20 / 144	−19.3
7	38,633	2427.7	− 2567	−139.3	× 26 / 144	−25.2
8	38,634	2463.6	− 2586	−122.4	× 27 / 144	−23
Sum, rounded to a whole point						−97

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	38,566	2376.4	− 2436	−59.6	× 19 / 127	−8.9
4	38,567	2446.7	− 2485	−38.3	× 26 / 127	−7.8
5	38,568	2469.9	− 2528	−58.1	× 23 / 127	−10.5
6	38,569	2454.2	− 2552	−97.8	× 16 / 127	−12.3
7	38,570	2464.9	− 2567	−102.1	× 22 / 127	−17.7
8	38,571	2439.9	− 2586	−146.1	× 21 / 127	−24.2
Sum, rounded to a whole point						−81

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −49, −31, −33, −50, −52, −82, −73, −85, −97, −81 → −63.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 18 · 2016→2017: 2 · 2017→2018: 17 · 2018→2019: 2 · 2019→2022: 30 · 2022→2023: 9 · 2023→2024: 12 · 2024→2025: 12 · 2025→2026: 16 → average 13.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 13.1 × 2.66 = 34.8. Upper limit −28.5, lower limit −98.1.

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.