Big Springs 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 scores 90 points under the grade 3 bar. 2346 vs. 2436.
4th The average 4th grader scores 62 points under the grade 3 bar. 2374 vs. 2436. The 4th-grade bar is 2485.
6th The average 6th grader scores 11 points under the grade 4 bar. 2474 vs. 2485. The 6th-grade bar is 2552.
7th The average 7th grader scores 32 points under the grade 4 bar. 2453 vs. 2485. The 7th-grade bar is 2567.
8th The average 8th grader scores just under the grade 3 bar. 2433 vs. 2436. 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.

2015 from sb_ca2015_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,037	2427.9	− 2436	−8.1	× 20 / 87	−1.9
4	92,039	2481.8	− 2485	−3.2	× 12 / 87	−0.4
5	92,041	2454.6	− 2528	−73.4	× 11 / 87	−9.3
6	92,042	2520.9	− 2552	−31.1	× 15 / 87	−5.4
7	92,045	2511.9	− 2567	−55.1	× 13 / 87	−8.2
8	92,047	2620.4	− 2586	34.4	× 16 / 87	6.3
Sum, rounded to a whole point						−19

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	85,457	2415.9	− 2436	−20.1	× 18 / 85	−4.3
4	85,459	2481.4	− 2485	−3.6	× 23 / 85	−1
5	85,460	2519.8	− 2528	−8.2	× 13 / 85	−1.3
7	85,465	2544.8	− 2567	−22.2	× 19 / 85	−5
8	85,467	2538.6	− 2586	−47.4	× 12 / 85	−6.7
Sum, rounded to a whole point						−18

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	87,829	2428.0	− 2436	−8	× 27 / 116	−1.9
4	87,831	2465.4	− 2485	−19.6	× 17 / 116	−2.9
5	87,834	2481.7	− 2528	−46.3	× 25 / 116	−10
6	87,835	2507.9	− 2552	−44.1	× 20 / 116	−7.6
7	87,838	2478.7	− 2567	−88.3	× 11 / 116	−8.4
8	87,840	2508.5	− 2586	−77.5	× 16 / 116	−10.7
Sum, rounded to a whole point						−41

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	88,057	2388.3	− 2436	−47.7	× 22 / 122	−8.6
4	88,058	2484.8	− 2485	−0.2	× 28 / 122	0
5	88,061	2495.4	− 2528	−32.6	× 19 / 122	−5.1
6	88,062	2510.0	− 2552	−42	× 21 / 122	−7.2
7	88,065	2542.9	− 2567	−24.1	× 20 / 122	−4
8	88,066	2516.8	− 2586	−69.2	× 12 / 122	−6.8
Sum, rounded to a whole point						−32

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	88,702	2457.7	− 2436	21.7	× 13 / 122	2.3
4	88,703	2429.2	− 2485	−55.8	× 21 / 122	−9.6
5	88,704	2513.4	− 2528	−14.6	× 28 / 122	−3.4
6	88,705	2550.6	− 2552	−1.4	× 17 / 122	−0.2
7	88,706	2507.8	− 2567	−59.2	× 23 / 122	−11.2
8	88,707	2540.3	− 2586	−45.7	× 20 / 122	−7.5
Sum, rounded to a whole point						−29

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	86,892	2368.9	− 2436	−67.1	× 21 / 124	−11.4
4	86,893	2440.0	− 2485	−45	× 20 / 124	−7.3
5	86,894	2490.0	− 2528	−38	× 16 / 124	−4.9
6	86,895	2475.0	− 2552	−77	× 22 / 124	−13.7
7	86,896	2517.2	− 2567	−49.8	× 26 / 124	−10.4
8	86,897	2492.8	− 2586	−93.2	× 19 / 124	−14.3
Sum, rounded to a whole point						−62

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	88,981	2367.0	− 2436	−69	× 23 / 116	−13.7
4	88,982	2408.8	− 2485	−76.2	× 22 / 116	−14.5
5	88,983	2480.4	− 2528	−47.6	× 17 / 116	−7
6	88,984	2540.1	− 2552	−11.9	× 12 / 116	−1.2
7	88,985	2466.3	− 2567	−100.7	× 19 / 116	−16.5
8	88,986	2538.6	− 2586	−47.4	× 23 / 116	−9.4
Sum, rounded to a whole point						−62

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	88,864	2382.4	− 2436	−53.6	× 17 / 110	−8.3
4	88,865	2405.4	− 2485	−79.6	× 23 / 110	−16.6
5	88,866	2485.8	− 2528	−42.2	× 22 / 110	−8.4
6	88,867	2503.3	− 2552	−48.7	× 18 / 110	−8
7	88,868	2520.4	− 2567	−46.6	× 12 / 110	−5.1
8	88,869	2472.4	− 2586	−113.6	× 18 / 110	−18.6
Sum, rounded to a whole point						−65

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	88,853	2356.6	− 2436	−79.4	× 11 / 97	−9
4	88,854	2388.6	− 2485	−96.4	× 18 / 97	−17.9
5	88,855	2423.0	− 2528	−105	× 22 / 97	−23.8
6	88,856	2442.1	− 2552	−109.9	× 18 / 97	−20.4
7	88,857	2503.8	− 2567	−63.2	× 17 / 97	−11.1
8	88,858	2518.8	− 2586	−67.2	× 11 / 97	−7.6
Sum, rounded to a whole point						−90

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	88,541	2390.0	− 2436	−46	× 12 / 80	−6.9
5	88,543	2403.5	− 2528	−124.5	× 16 / 80	−24.9
6	88,544	2400.4	− 2552	−151.6	× 19 / 80	−36
7	88,545	2426.9	− 2567	−140.1	× 17 / 80	−29.8
8	88,546	2453.7	− 2586	−132.3	× 16 / 80	−26.5
Sum, rounded to a whole point						−124

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	88,238	2345.9	− 2436	−90.1	× 14 / 78	−16.2
4	88,239	2373.6	− 2485	−111.4	× 14 / 78	−20
6	88,241	2474.2	− 2552	−77.8	× 13 / 78	−13
7	88,242	2453.0	− 2567	−114	× 22 / 78	−32.2
8	88,243	2433.1	− 2586	−152.9	× 15 / 78	−29.4
Sum, rounded to a whole point						−111

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −19, −18, −41, −32, −29, −62, −62, −65, −90, −124, −111 → −59.4
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: 23 · 2017→2018: 9 · 2018→2019: 3 · 2019→2021: 33 · 2021→2022: 0 · 2022→2023: 3 · 2023→2024: 25 · 2024→2025: 34 · 2025→2026: 13 → average 14.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 14.4 × 2.66 = 38.3. Upper limit −21.1, lower limit −97.7.

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.