Marcum-Illinois Union 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.

3rd The average 3rd grader meets the grade 3 bar. 2442 vs. 2436.
4th The average 4th grader meets the grade 4 bar. 2531 vs. 2485.
5th The average 5th grader scores 31 points under the grade 5 bar. 2497 vs. 2528.
6th The average 6th grader scores just under the grade 6 bar. 2547 vs. 2552.
7th The average 7th grader meets the grade 7 bar. 2592 vs. 2567.
8th The average 8th grader scores 13 points under the grade 8 bar. 2573 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	98,668	2440.9	− 2436	4.9	× 17 / 121	0.7
4	98,671	2492.8	− 2485	7.8	× 21 / 121	1.4
5	98,672	2524.4	− 2528	−3.6	× 20 / 121	−0.6
6	98,675	2514.5	− 2552	−37.5	× 22 / 121	−6.8
7	98,676	2548.0	− 2567	−19	× 18 / 121	−2.8
8	98,679	2570.3	− 2586	−15.7	× 23 / 121	−3
Sum, rounded to a whole point						−11

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	91,400	2445.3	− 2436	9.3	× 15 / 97	1.4
4	91,402	2516.7	− 2485	31.7	× 16 / 97	5.2
5	91,405	2503.1	− 2528	−24.9	× 18 / 97	−4.6
6	91,407	2597.9	− 2552	45.9	× 15 / 97	7.1
7	91,409	2549.6	− 2567	−17.4	× 19 / 97	−3.4
8	91,410	2594.1	− 2586	8.1	× 14 / 97	1.2
Sum, rounded to a whole point						7

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,165	2476.8	− 2436	40.8	× 16 / 108	6
4	94,167	2509.3	− 2485	24.3	× 16 / 108	3.6
5	94,169	2491.1	− 2528	−36.9	× 17 / 108	−5.8
6	94,171	2536.7	− 2552	−15.3	× 22 / 108	−3.1
7	94,172	2612.9	− 2567	45.9	× 18 / 108	7.7
8	94,174	2602.9	− 2586	16.9	× 19 / 108	3
Sum, rounded to a whole point						11

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,375	2433.7	− 2436	−2.3	× 18 / 94	−0.4
4	94,376	2570.0	− 2485	85	× 13 / 94	11.8
5	94,379	2481.8	− 2528	−46.2	× 17 / 94	−8.4
6	94,380	2496.0	− 2552	−56	× 16 / 94	−9.5
7	94,383	2520.4	− 2567	−46.6	× 18 / 94	−8.9
8	94,384	2648.4	− 2586	62.4	× 12 / 94	8
Sum, rounded to a whole point						−8

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,008	2439.8	− 2436	3.8	× 16 / 99	0.6
4	95,009	2556.9	− 2485	71.9	× 16 / 99	11.6
5	95,010	2567.5	− 2528	39.5	× 15 / 99	6
6	95,011	2508.1	− 2552	−43.9	× 17 / 99	−7.5
7	95,012	2525.6	− 2567	−41.4	× 17 / 99	−7.1
8	95,013	2596.4	− 2586	10.4	× 18 / 99	1.9
Sum, rounded to a whole point						5

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,985	2435.9	− 2436	−0.1	× 21 / 110	0
4	92,986	2491.8	− 2485	6.8	× 21 / 110	1.3
5	92,987	2467.6	− 2528	−60.4	× 16 / 110	−8.8
6	92,988	2559.5	− 2552	7.5	× 16 / 110	1.1
7	92,989	2572.1	− 2567	5.1	× 18 / 110	0.8
8	92,990	2549.1	− 2586	−36.9	× 18 / 110	−6
Sum, rounded to a whole point						−12

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,250	2417.7	− 2436	−18.3	× 21 / 120	−3.2
4	95,251	2525.8	− 2485	40.8	× 23 / 120	7.8
5	95,252	2472.8	− 2528	−55.2	× 22 / 120	−10.1
6	95,253	2518.4	− 2552	−33.6	× 20 / 120	−5.6
7	95,254	2595.6	− 2567	28.6	× 18 / 120	4.3
8	95,255	2589.1	− 2586	3.1	× 16 / 120	0.4
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	95,148	2450.4	− 2436	14.4	× 19 / 122	2.2
4	95,149	2532.9	− 2485	47.9	× 18 / 122	7.1
5	95,150	2498.2	− 2528	−29.8	× 23 / 122	−5.6
6	95,151	2507.1	− 2552	−44.9	× 23 / 122	−8.5
7	95,152	2540.6	− 2567	−26.4	× 21 / 122	−4.5
8	95,153	2575.3	− 2586	−10.7	× 18 / 122	−1.6
Sum, rounded to a whole point						−11

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,013	2434.0	− 2436	−2	× 21 / 115	−0.4
4	95,014	2535.2	− 2485	50.2	× 18 / 115	7.9
5	95,015	2514.8	− 2528	−13.2	× 17 / 115	−2
6	95,016	2553.5	− 2552	1.5	× 20 / 115	0.3
7	95,017	2560.0	− 2567	−7	× 22 / 115	−1.3
8	95,018	2534.1	− 2586	−51.9	× 17 / 115	−7.7
Sum, rounded to a whole point						−3

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,745	2469.8	− 2436	33.8	× 14 / 110	4.3
4	94,746	2513.8	− 2485	28.8	× 19 / 110	5
5	94,747	2524.2	− 2528	−3.8	× 17 / 110	−0.6
6	94,748	2568.2	− 2552	16.2	× 18 / 110	2.7
7	94,749	2585.9	− 2567	18.9	× 19 / 110	3.3
8	94,750	2567.3	− 2586	−18.7	× 23 / 110	−3.9
Sum, rounded to a whole point						11

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,351	2442.2	− 2436	6.2	× 21 / 115	1.1
4	94,352	2531.1	− 2485	46.1	× 16 / 115	6.4
5	94,353	2496.6	− 2528	−31.4	× 21 / 115	−5.7
6	94,354	2547.3	− 2552	−4.7	× 19 / 115	−0.8
7	94,355	2591.7	− 2567	24.7	× 18 / 115	3.9
8	94,356	2573.4	− 2586	−12.6	× 20 / 115	−2.2
Sum, rounded to a whole point						3

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −11, 7, 11, −8, 5, −12, −6, −11, −3, 11, 3 → −1.3
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: 4 · 2017→2018: 19 · 2018→2019: 13 · 2019→2021: 17 · 2021→2022: 6 · 2022→2023: 5 · 2023→2024: 8 · 2024→2025: 14 · 2025→2026: 8 → average 11.2
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 11.2 × 2.66 = 29.8. Upper limit 28.5, lower limit −31.1.

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.