August Knodt Elementary: 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.

All students

3rd The average 3rd grader scores 77 points under the grade 3 bar. 2359 vs. 2436.
4th The average 4th grader scores 64 points under the grade 3 bar. 2372 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 36 points under the grade 3 bar. 2400 vs. 2436. The 5th-grade bar is 2528.
6th The average 6th grader scores 42 points under the grade 4 bar. 2443 vs. 2485. The 6th-grade bar is 2552.
7th The average 7th grader scores 10 points under the grade 3 bar. 2426 vs. 2436. The 7th-grade bar is 2567.
8th The average 8th grader scores 17 points under the grade 4 bar. 2468 vs. 2485. The 8th-grade bar is 2586.

Students fluent in English

Math with English out of the way. Includes students who have only ever spoken English.

Grade bars 3rd 40 students 63 points under the grade 3 bar. 4th 56 students 47 points under the grade 3 bar. 5th 62 students 33 points under the grade 3 bar. 6th 55 students 32 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 3rd 20 students 103 points under the grade 3 bar. 4th 25 students 101 points under the grade 3 bar. 5th 21 students 46 points under the grade 3 bar. 6th 13 students 35 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
3	79,966	2408.8	− 2436	−27.2	× 107 / 544	−5.4
4	79,969	2446.4	− 2485	−38.6	× 102 / 544	−7.2
5	79,970	2446.0	− 2528	−82	× 83 / 544	−12.5
6	79,973	2462.6	− 2552	−89.4	× 85 / 544	−14
7	79,974	2510.6	− 2567	−56.4	× 85 / 544	−8.8
8	79,977	2537.6	− 2586	−48.4	× 82 / 544	−7.3
Sum, rounded to a whole point						−55

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	74,096	2426.9	− 2436	−9.1	× 92 / 571	−1.5
4	74,099	2439.1	− 2485	−45.9	× 97 / 571	−7.8
5	74,100	2468.8	− 2528	−59.2	× 102 / 571	−10.6
6	74,103	2480.4	− 2552	−71.6	× 90 / 571	−11.3
7	74,105	2486.4	− 2567	−80.6	× 102 / 571	−14.4
8	74,106	2540.6	− 2586	−45.4	× 88 / 571	−7
Sum, rounded to a whole point						−53

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,084	2403.6	− 2436	−32.4	× 98 / 559	−5.7
4	76,086	2428.6	− 2485	−56.4	× 100 / 559	−10.1
5	76,088	2449.3	− 2528	−78.7	× 102 / 559	−14.4
6	76,089	2490.0	− 2552	−62	× 103 / 559	−11.4
7	76,091	2511.5	− 2567	−55.5	× 70 / 559	−6.9
8	76,093	2535.4	− 2586	−50.6	× 86 / 559	−7.8
Sum, rounded to a whole point						−56

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,275	2392.0	− 2436	−44	× 87 / 549	−7
4	76,276	2431.8	− 2485	−53.2	× 98 / 549	−9.5
5	76,279	2465.7	− 2528	−62.3	× 92 / 549	−10.4
6	76,280	2470.2	− 2552	−81.8	× 97 / 549	−14.5
7	76,283	2500.2	− 2567	−66.8	× 107 / 549	−13
8	76,284	2507.7	− 2586	−78.3	× 68 / 549	−9.7
Sum, rounded to a whole point						−64

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,799	2387.2	− 2436	−48.8	× 101 / 576	−8.6
4	76,800	2430.3	− 2485	−54.7	× 85 / 576	−8.1
5	76,801	2454.6	− 2528	−73.4	× 103 / 576	−13.1
6	76,802	2501.0	− 2552	−51	× 88 / 576	−7.8
7	76,803	2471.1	− 2567	−95.9	× 98 / 576	−16.3
8	76,804	2519.4	− 2586	−66.6	× 101 / 576	−11.7
Sum, rounded to a whole point						−66

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,955	2355.5	− 2436	−80.5	× 77 / 532	−11.7
4	76,956	2394.7	− 2485	−90.3	× 91 / 532	−15.4
5	76,957	2417.7	− 2528	−110.3	× 76 / 532	−15.8
6	76,958	2452.2	− 2552	−99.8	× 96 / 532	−18
7	76,959	2458.5	− 2567	−108.5	× 95 / 532	−19.4
8	76,960	2472.3	− 2586	−113.7	× 97 / 532	−20.7
Sum, rounded to a whole point						−101

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,949	2360.0	− 2436	−76	× 71 / 483	−11.2
4	76,950	2377.4	− 2485	−107.6	× 67 / 483	−14.9
5	76,951	2420.8	− 2528	−107.2	× 83 / 483	−18.4
6	76,952	2433.5	− 2552	−118.5	× 72 / 483	−17.7
7	76,953	2449.9	− 2567	−117.1	× 91 / 483	−22.1
8	76,954	2463.0	− 2586	−123	× 99 / 483	−25.2
Sum, rounded to a whole point						−109

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,940	2353.9	− 2436	−82.1	× 79 / 473	−13.7
4	76,941	2391.4	− 2485	−93.6	× 66 / 473	−13.1
5	76,942	2393.9	− 2528	−134.1	× 70 / 473	−19.8
6	76,943	2427.6	− 2552	−124.4	× 87 / 473	−22.9
7	76,944	2453.5	− 2567	−113.5	× 78 / 473	−18.7
8	76,945	2467.4	− 2586	−118.6	× 93 / 473	−23.3
Sum, rounded to a whole point						−112

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,593	2363.7	− 2436	−72.3	× 77 / 464	−12
4	76,594	2382.1	− 2485	−102.9	× 82 / 464	−18.2
5	76,595	2399.5	− 2528	−128.5	× 73 / 464	−20.2
6	76,596	2402.3	− 2552	−149.7	× 60 / 464	−19.4
7	76,597	2442.5	− 2567	−124.5	× 84 / 464	−22.5
8	76,598	2469.0	− 2586	−117	× 88 / 464	−22.2
Sum, rounded to a whole point						−114

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,497	2359.3	− 2436	−76.7	× 60 / 435	−10.6
4	76,498	2372.2	− 2485	−112.8	× 81 / 435	−21
5	76,499	2399.8	− 2528	−128.2	× 83 / 435	−24.5
6	76,500	2442.9	− 2552	−109.1	× 68 / 435	−17.1
7	76,501	2426.0	− 2567	−141	× 63 / 435	−20.4
8	76,502	2468.1	− 2586	−117.9	× 80 / 435	−21.7
Sum, rounded to a whole point						−115

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −55, −53, −56, −64, −66, −101, −109, −112, −114, −115 → −84.5
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 2 · 2016→2017: 3 · 2017→2018: 8 · 2018→2019: 2 · 2019→2022: 35 · 2022→2023: 8 · 2023→2024: 3 · 2024→2025: 2 · 2025→2026: 1 → average 7.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.1 × 2.66 = 18.9. Upper limit −65.6, lower limit −103.4.

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.