Kairos Public: 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 11.

3rd The average 3rd grader scores just under the grade 3 bar. 2433 vs. 2436.
4th The average 4th grader meets the grade 4 bar. 2486 vs. 2485.
5th The average 5th grader scores 12 points under the grade 5 bar. 2516 vs. 2528.
6th The average 6th grader scores 12 points under the grade 6 bar. 2540 vs. 2552.
7th The average 7th grader meets the grade 7 bar. 2574 vs. 2567.
8th The average 8th grader scores 14 points under the grade 8 bar. 2572 vs. 2586.
11th The average 11th grader scores just under the grade 6 bar. 2551 vs. 2552. The 11th-grade bar is 2628.

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	93,352	2448.8	− 2436	12.8	× 48 / 287	2.1
4	93,355	2477.0	− 2485	−8	× 49 / 287	−1.4
5	93,356	2546.1	− 2528	18.1	× 51 / 287	3.2
6	93,359	2547.8	− 2552	−4.2	× 56 / 287	−0.8
7	93,360	2569.9	− 2567	2.9	× 57 / 287	0.6
8	93,363	2556.8	− 2586	−29.2	× 26 / 287	−2.6
Sum, rounded to a whole point						1

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	86,739	2452.3	− 2436	16.3	× 50 / 317	2.6
4	86,741	2493.3	− 2485	8.3	× 52 / 317	1.4
5	86,743	2526.5	− 2528	−1.5	× 52 / 317	−0.2
6	86,745	2559.0	− 2552	7	× 57 / 317	1.3
7	86,748	2553.6	− 2567	−13.4	× 52 / 317	−2.2
8	86,749	2581.8	− 2586	−4.2	× 54 / 317	−0.7
Sum, rounded to a whole point						2

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,144	2421.8	− 2436	−14.2	× 51 / 346	−2.1
4	89,147	2478.1	− 2485	−6.9	× 56 / 346	−1.1
5	89,149	2560.3	− 2528	32.3	× 59 / 346	5.5
6	89,150	2535.6	− 2552	−16.4	× 60 / 346	−2.8
7	89,153	2575.9	− 2567	8.9	× 62 / 346	1.6
8	89,154	2559.9	− 2586	−26.1	× 58 / 346	−4.4
Sum, rounded to a whole point						−3

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,349	2462.0	− 2436	26	× 53 / 345	4
4	89,350	2502.3	− 2485	17.3	× 58 / 345	2.9
5	89,353	2537.1	− 2528	9.1	× 57 / 345	1.5
6	89,354	2568.6	− 2552	16.6	× 62 / 345	3
7	89,357	2543.8	− 2567	−23.2	× 62 / 345	−4.2
8	89,358	2598.1	− 2586	12.1	× 53 / 345	1.9
Sum, rounded to a whole point						9

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,962	2464.7	− 2436	28.7	× 61 / 359	4.9
4	89,963	2502.2	− 2485	17.2	× 55 / 359	2.6
5	89,964	2549.7	− 2528	21.7	× 57 / 359	3.4
6	89,965	2547.4	− 2552	−4.6	× 65 / 359	−0.8
7	89,966	2608.2	− 2567	41.2	× 63 / 359	7.2
8	89,967	2586.2	− 2586	0.2	× 58 / 359	0
Sum, rounded to a whole point						17

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	88,166	2410.6	− 2436	−25.4	× 56 / 351	−4.1
4	88,167	2464.6	− 2485	−20.4	× 60 / 351	−3.5
5	88,168	2521.5	− 2528	−6.5	× 57 / 351	−1.1
6	88,169	2532.3	− 2552	−19.7	× 57 / 351	−3.2
7	88,170	2537.1	− 2567	−29.9	× 57 / 351	−4.9
8	88,171	2537.0	− 2586	−49	× 64 / 351	−8.9
Sum, rounded to a whole point						−26

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,234	2449.6	− 2436	13.6	× 66 / 381	2.4
4	90,235	2465.9	− 2485	−19.1	× 63 / 381	−3.2
5	90,236	2509.7	− 2528	−18.3	× 61 / 381	−2.9
6	90,237	2547.7	− 2552	−4.3	× 71 / 381	−0.8
7	90,238	2582.4	− 2567	15.4	× 58 / 381	2.3
8	90,239	2565.3	− 2586	−20.7	× 62 / 381	−3.4
Sum, rounded to a whole point						−6

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,124	2434.4	− 2436	−1.6	× 67 / 409	−0.3
4	90,125	2494.1	− 2485	9.1	× 69 / 409	1.5
5	90,126	2485.2	− 2528	−42.8	× 64 / 409	−6.7
6	90,127	2516.5	− 2552	−35.5	× 73 / 409	−6.3
7	90,128	2582.0	− 2567	15	× 75 / 409	2.8
8	90,129	2588.6	− 2586	2.6	× 61 / 409	0.4
Sum, rounded to a whole point						−9

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,071	2423.5	− 2436	−12.5	× 67 / 434	−1.9
4	90,072	2497.4	− 2485	12.4	× 69 / 434	2
5	90,073	2506.2	− 2528	−21.8	× 73 / 434	−3.7
6	90,074	2519.8	− 2552	−32.2	× 75 / 434	−5.6
7	90,075	2555.3	− 2567	−11.7	× 76 / 434	−2
8	90,076	2592.9	− 2586	6.9	× 74 / 434	1.2
Sum, rounded to a whole point						−10

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,759	2428.5	− 2436	−7.5	× 74 / 464	−1.2
4	89,760	2495.8	− 2485	10.8	× 73 / 464	1.7
5	89,761	2491.9	− 2528	−36.1	× 74 / 464	−5.8
6	89,762	2541.9	− 2552	−10.1	× 82 / 464	−1.8
7	89,763	2541.3	− 2567	−25.7	× 82 / 464	−4.5
8	89,764	2574.9	− 2586	−11.1	× 79 / 464	−1.9
Sum, rounded to a whole point						−13

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,451	2432.7	− 2436	−3.3	× 72 / 496	−0.5
4	89,452	2485.5	− 2485	0.5	× 78 / 496	0.1
5	89,453	2516.1	− 2528	−11.9	× 75 / 496	−1.8
6	89,454	2539.9	− 2552	−12.1	× 83 / 496	−2
7	89,455	2574.3	− 2567	7.3	× 82 / 496	1.2
8	89,456	2571.7	− 2586	−14.3	× 80 / 496	−2.3
11	89,457	2550.5	− 2628	−77.5	× 26 / 496	−4.1
Sum, rounded to a whole point						−9

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 1, 2, −3, 9, 17, −26, −6, −9, −10, −13, −9 → −4.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 1 · 2016→2017: 5 · 2017→2018: 12 · 2018→2019: 8 · 2019→2021: 43 · 2021→2022: 20 · 2022→2023: 3 · 2023→2024: 1 · 2024→2025: 3 · 2025→2026: 4 → average 10
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10 × 2.66 = 26.6. Upper limit 22.3, lower limit −30.9.

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.