Paakuma K-8: math · Schoolio

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. 2436 vs. 2436.
4th The average 4th grader meets the grade 4 bar. 2496 vs. 2485.
5th The average 5th grader scores 27 points under the grade 5 bar. 2501 vs. 2528.
6th The average 6th grader scores 14 points under the grade 5 bar. 2515 vs. 2528. The 6th-grade bar is 2552.
7th The average 7th grader scores 20 points under the grade 6 bar. 2532 vs. 2552. The 7th-grade bar is 2567.
8th The average 8th grader scores 21 points under the grade 6 bar. 2531 vs. 2552. 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.

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	62,849	2429.1	− 2436	−6.9	× 47 / 580	−0.6
4	62,852	2445.4	− 2485	−39.6	× 50 / 580	−3.4
5	62,854	2489.4	− 2528	−38.6	× 45 / 580	−3
6	62,856	2471.0	− 2552	−81	× 147 / 580	−20.5
7	62,857	2475.4	− 2567	−91.6	× 168 / 580	−26.5
8	62,859	2485.1	− 2586	−100.9	× 123 / 580	−21.4
Sum, rounded to a whole point						−75

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,642	2450.2	− 2436	14.2	× 52 / 569	1.3
4	64,643	2469.1	− 2485	−15.9	× 55 / 569	−1.5
5	64,645	2463.0	− 2528	−65	× 68 / 569	−7.8
6	64,648	2557.2	− 2552	5.2	× 57 / 569	0.5
7	64,649	2493.3	− 2567	−73.7	× 165 / 569	−21.4
8	64,652	2493.6	− 2586	−92.4	× 172 / 569	−27.9
Sum, rounded to a whole point						−57

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,726	2453.5	− 2436	17.5	× 65 / 562	2
4	64,728	2479.7	− 2485	−5.3	× 67 / 562	−0.6
5	64,731	2506.9	− 2528	−21.1	× 73 / 562	−2.7
6	64,732	2487.8	− 2552	−64.2	× 74 / 562	−8.5
7	64,734	2514.1	− 2567	−52.9	× 126 / 562	−11.9
8	64,736	2521.7	− 2586	−64.3	× 157 / 562	−18
Sum, rounded to a whole point						−40

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,087	2462.1	− 2436	26.1	× 129 / 569	5.9
4	65,088	2483.4	− 2485	−1.6	× 66 / 569	−0.2
5	65,089	2506.3	− 2528	−21.7	× 79 / 569	−3
6	65,090	2491.2	− 2552	−60.8	× 90 / 569	−9.6
7	65,091	2510.4	− 2567	−56.6	× 91 / 569	−9.1
8	65,092	2555.2	− 2586	−30.8	× 114 / 569	−6.2
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	65,168	2448.8	− 2436	12.8	× 126 / 647	2.5
4	65,169	2473.1	− 2485	−11.9	× 107 / 647	−2
5	65,170	2475.9	− 2528	−52.1	× 119 / 647	−9.6
6	65,171	2509.8	− 2552	−42.2	× 126 / 647	−8.2
7	65,172	2541.3	− 2567	−25.7	× 88 / 647	−3.5
8	65,173	2528.0	− 2586	−58	× 81 / 647	−7.3
Sum, rounded to a whole point						−28

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,163	2435.4	− 2436	−0.6	× 118 / 685	−0.1
4	65,164	2489.1	− 2485	4.1	× 122 / 685	0.7
5	65,165	2478.5	− 2528	−49.5	× 112 / 685	−8.1
6	65,166	2490.4	− 2552	−61.6	× 121 / 685	−10.9
7	65,167	2515.9	− 2567	−51.1	× 123 / 685	−9.2
8	65,168	2575.5	− 2586	−10.5	× 89 / 685	−1.4
Sum, rounded to a whole point						−29

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,129	2416.1	− 2436	−19.9	× 108 / 697	−3.1
4	65,130	2485.6	− 2485	0.6	× 110 / 697	0.1
5	65,131	2520.4	− 2528	−7.6	× 123 / 697	−1.3
6	65,132	2495.7	− 2552	−56.3	× 112 / 697	−9
7	65,133	2509.7	− 2567	−57.3	× 117 / 697	−9.6
8	65,134	2553.7	− 2586	−32.3	× 127 / 697	−5.9
Sum, rounded to a whole point						−29

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,887	2466.4	− 2436	30.4	× 107 / 671	4.8
4	64,888	2473.3	− 2485	−11.7	× 104 / 671	−1.8
5	64,889	2505.7	− 2528	−22.3	× 116 / 671	−3.9
6	64,890	2523.9	− 2552	−28.1	× 129 / 671	−5.4
7	64,891	2523.3	− 2567	−43.7	× 106 / 671	−6.9
8	64,892	2553.5	− 2586	−32.5	× 109 / 671	−5.3
Sum, rounded to a whole point						−18

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,861	2435.7	− 2436	−0.3	× 88 / 638	0
4	64,862	2495.5	− 2485	10.5	× 104 / 638	1.7
5	64,863	2500.6	− 2528	−27.4	× 96 / 638	−4.1
6	64,864	2514.5	− 2552	−37.5	× 115 / 638	−6.8
7	64,865	2532.1	− 2567	−34.9	× 128 / 638	−7
8	64,866	2530.8	− 2586	−55.2	× 107 / 638	−9.3
Sum, rounded to a whole point						−25

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −75, −57, −40, −22, −28, −29, −29, −18, −25 → −35.9
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2016→2017: 18 · 2017→2018: 17 · 2018→2019: 18 · 2019→2022: 6 · 2022→2023: 1 · 2023→2024: 0 · 2024→2025: 11 · 2025→2026: 7 → average 9.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.8 × 2.66 = 26.1. Upper limit −9.8, lower limit −62.

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 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.