Caroldale Learning Community: 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. 2443 vs. 2436.
4th The average 4th grader scores just under the grade 4 bar. 2480 vs. 2485.
5th The average 5th grader scores 19 points under the grade 5 bar. 2509 vs. 2528.
6th The average 6th grader scores 21 points under the grade 6 bar. 2531 vs. 2552.
7th The average 7th grader scores just under the grade 5 bar. 2528 vs. 2528. The 7th-grade bar is 2567.
8th The average 8th grader meets the grade 8 bar. 2611 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	29,744	2396.7	− 2436	−39.3	× 105 / 623	−6.6
4	29,746	2444.6	− 2485	−40.4	× 103 / 623	−6.7
5	29,748	2472.5	− 2528	−55.5	× 137 / 623	−12.2
6	29,750	2550.8	− 2552	−1.2	× 91 / 623	−0.2
7	29,752	2543.8	− 2567	−23.2	× 100 / 623	−3.7
8	29,754	2579.1	− 2586	−6.9	× 87 / 623	−1
Sum, rounded to a whole point						−30

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	27,966	2423.5	− 2436	−12.5	× 108 / 602	−2.2
4	27,967	2468.8	− 2485	−16.2	× 98 / 602	−2.6
5	27,969	2484.8	− 2528	−43.2	× 104 / 602	−7.5
6	27,972	2512.4	− 2552	−39.6	× 103 / 602	−6.8
7	27,974	2569.3	− 2567	2.3	× 91 / 602	0.3
8	27,976	2573.5	− 2586	−12.5	× 98 / 602	−2
Sum, rounded to a whole point						−21

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	28,533	2431.9	− 2436	−4.1	× 99 / 581	−0.7
4	28,534	2451.4	− 2485	−33.6	× 109 / 581	−6.3
5	28,537	2486.9	− 2528	−41.1	× 101 / 581	−7.1
6	28,538	2509.7	− 2552	−42.3	× 82 / 581	−6
7	28,541	2528.2	− 2567	−38.8	× 99 / 581	−6.6
8	28,543	2598.6	− 2586	12.6	× 91 / 581	2
Sum, rounded to a whole point						−25

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	28,584	2428.1	− 2436	−7.9	× 107 / 593	−1.4
4	28,585	2469.0	− 2485	−16	× 98 / 593	−2.6
5	28,588	2494.5	− 2528	−33.5	× 106 / 593	−6
6	28,589	2520.5	− 2552	−31.5	× 98 / 593	−5.2
7	28,592	2520.3	− 2567	−46.7	× 83 / 593	−6.5
8	28,593	2554.5	− 2586	−31.5	× 101 / 593	−5.4
Sum, rounded to a whole point						−27

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	28,766	2429.4	− 2436	−6.6	× 107 / 601	−1.2
4	28,767	2466.5	− 2485	−18.5	× 112 / 601	−3.4
5	28,768	2507.8	− 2528	−20.2	× 98 / 601	−3.3
6	28,769	2509.3	− 2552	−42.7	× 103 / 601	−7.3
7	28,770	2539.4	− 2567	−27.6	× 103 / 601	−4.7
8	28,771	2569.1	− 2586	−16.9	× 78 / 601	−2.2
Sum, rounded to a whole point						−22

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	28,797	2423.0	− 2436	−13	× 66 / 465	−1.8
4	28,798	2473.5	− 2485	−11.5	× 73 / 465	−1.8
5	28,799	2476.0	− 2528	−52	× 81 / 465	−9.1
6	28,800	2514.4	− 2552	−37.6	× 85 / 465	−6.9
7	28,801	2536.3	− 2567	−30.7	× 85 / 465	−5.6
8	28,802	2527.7	− 2586	−58.3	× 75 / 465	−9.4
Sum, rounded to a whole point						−35

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	28,858	2443.1	− 2436	7.1	× 72 / 469	1.1
4	28,859	2444.4	− 2485	−40.6	× 81 / 469	−7
5	28,860	2509.2	− 2528	−18.8	× 70 / 469	−2.8
6	28,861	2498.7	− 2552	−53.3	× 81 / 469	−9.2
7	28,862	2527.9	− 2567	−39.1	× 79 / 469	−6.6
8	28,863	2540.0	− 2586	−46	× 86 / 469	−8.4
Sum, rounded to a whole point						−33

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	28,724	2469.4	− 2436	33.4	× 57 / 435	4.4
4	28,725	2467.4	− 2485	−17.6	× 81 / 435	−3.3
5	28,726	2477.9	− 2528	−50.1	× 83 / 435	−9.6
6	28,727	2554.1	− 2552	2.1	× 61 / 435	0.3
7	28,728	2539.0	− 2567	−28	× 77 / 435	−5
8	28,729	2520.6	− 2586	−65.4	× 76 / 435	−11.4
Sum, rounded to a whole point						−25

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	28,587	2431.1	− 2436	−4.9	× 73 / 424	−0.8
4	28,588	2488.5	− 2485	3.5	× 65 / 424	0.5
5	28,589	2491.7	− 2528	−36.3	× 86 / 424	−7.4
6	28,590	2514.3	− 2552	−37.7	× 77 / 424	−6.8
7	28,591	2581.6	− 2567	14.6	× 59 / 424	2
8	28,592	2559.8	− 2586	−26.2	× 64 / 424	−4
Sum, rounded to a whole point						−16

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	28,581	2443.0	− 2436	7	× 64 / 419	1.1
4	28,582	2479.5	− 2485	−5.5	× 73 / 419	−1
5	28,583	2509.3	− 2528	−18.7	× 69 / 419	−3.1
6	28,584	2530.8	− 2552	−21.2	× 83 / 419	−4.2
7	28,585	2527.8	− 2567	−39.2	× 73 / 419	−6.8
8	28,586	2610.9	− 2586	24.9	× 57 / 419	3.4
Sum, rounded to a whole point						−11

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −30, −21, −25, −27, −22, −35, −33, −25, −16, −11 → −24.5
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 9 · 2016→2017: 4 · 2017→2018: 2 · 2018→2019: 5 · 2019→2022: 13 · 2022→2023: 2 · 2023→2024: 8 · 2024→2025: 9 · 2025→2026: 5 → average 6.3
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 6.3 × 2.66 = 16.8. Upper limit −7.7, lower limit −41.3.

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.