Alta Loma Elementary: math

The shaded band is this district'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.

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	64,430	2442.2	− 2436	6.2	× 639 / 4057	1
4	64,433	2470.2	− 2485	−14.8	× 611 / 4057	−2.2
5	64,434	2508.3	− 2528	−19.7	× 677 / 4057	−3.3
6	64,437	2530.5	− 2552	−21.5	× 719 / 4057	−3.8
7	64,438	2556.2	− 2567	−10.8	× 681 / 4057	−1.8
8	64,441	2572.8	− 2586	−13.2	× 730 / 4057	−2.4
Sum, rounded to a whole point						−13

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	59,762	2452.7	− 2436	16.7	× 591 / 4013	2.5
4	59,764	2482.7	− 2485	−2.3	× 648 / 4013	−0.4
5	59,766	2505.1	− 2528	−22.9	× 633 / 4013	−3.6
6	59,768	2533.6	− 2552	−18.4	× 710 / 4013	−3.3
7	59,770	2548.2	− 2567	−18.8	× 736 / 4013	−3.4
8	59,771	2582.4	− 2586	−3.6	× 695 / 4013	−0.6
Sum, rounded to a whole point						−9

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	61,473	2451.5	− 2436	15.5	× 619 / 3955	2.4
4	61,474	2485.2	− 2485	0.2	× 579 / 3955	0
5	61,476	2516.0	− 2528	−12	× 656 / 3955	−2
6	61,478	2548.6	− 2552	−3.4	× 657 / 3955	−0.6
7	61,481	2551.5	− 2567	−15.5	× 710 / 3955	−2.8
8	61,482	2571.1	− 2586	−14.9	× 734 / 3955	−2.8
Sum, rounded to a whole point						−6

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	61,569	2471.9	− 2436	35.9	× 605 / 3940	5.5
4	61,571	2497.6	− 2485	12.6	× 641 / 3940	2
5	61,573	2517.2	− 2528	−10.8	× 606 / 3940	−1.7
6	61,575	2556.3	− 2552	4.3	× 690 / 3940	0.8
7	61,577	2555.4	− 2567	−11.6	× 676 / 3940	−2
8	61,579	2582.4	− 2586	−3.6	× 722 / 3940	−0.7
Sum, rounded to a whole point						4

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	61,839	2458.4	− 2436	22.4	× 634 / 3935	3.6
4	61,840	2515.5	− 2485	30.5	× 628 / 3935	4.9
5	61,841	2527.3	− 2528	−0.7	× 650 / 3935	−0.1
6	61,842	2562.0	− 2552	10	× 621 / 3935	1.6
7	61,843	2565.5	− 2567	−1.5	× 719 / 3935	−0.3
8	61,844	2590.1	− 2586	4.1	× 683 / 3935	0.7
Sum, rounded to a whole point						10

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	61,926	2457.2	− 2436	21.2	× 613 / 3679	3.5
4	61,927	2502.0	− 2485	17	× 566 / 3679	2.6
5	61,928	2510.5	− 2528	−17.5	× 619 / 3679	−2.9
6	61,929	2541.7	− 2552	−10.3	× 643 / 3679	−1.8
7	61,930	2547.7	− 2567	−19.3	× 607 / 3679	−3.2
8	61,931	2559.0	− 2586	−27	× 631 / 3679	−4.6
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	61,874	2458.9	− 2436	22.9	× 594 / 3665	3.7
4	61,875	2503.6	− 2485	18.6	× 622 / 3665	3.2
5	61,876	2517.2	− 2528	−10.8	× 590 / 3665	−1.7
6	61,877	2552.9	− 2552	0.9	× 629 / 3665	0.2
7	61,878	2547.9	− 2567	−19.1	× 635 / 3665	−3.3
8	61,879	2566.9	− 2586	−19.1	× 595 / 3665	−3.1
Sum, rounded to a whole point						−1

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	61,829	2464.7	− 2436	28.7	× 563 / 3706	4.4
4	61,830	2501.5	− 2485	16.5	× 625 / 3706	2.8
5	61,831	2522.3	− 2528	−5.7	× 635 / 3706	−1
6	61,832	2555.4	− 2552	3.4	× 600 / 3706	0.6
7	61,833	2554.7	− 2567	−12.3	× 644 / 3706	−2.1
8	61,834	2572.1	− 2586	−13.9	× 639 / 3706	−2.4
Sum, rounded to a whole point						2

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	61,596	2461.6	− 2436	25.6	× 590 / 3774	4
4	61,597	2502.2	− 2485	17.2	× 588 / 3774	2.7
5	61,598	2527.2	− 2528	−0.8	× 648 / 3774	−0.1
6	61,599	2544.4	− 2552	−7.6	× 669 / 3774	−1.3
7	61,600	2554.3	− 2567	−12.7	× 628 / 3774	−2.1
8	61,601	2564.3	− 2586	−21.7	× 651 / 3774	−3.7
Sum, rounded to a whole point						−1

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	61,569	2466.0	− 2436	30	× 549 / 3659	4.5
4	61,570	2503.2	− 2485	18.2	× 579 / 3659	2.9
5	61,571	2529.9	− 2528	1.9	× 598 / 3659	0.3
6	61,572	2545.4	− 2552	−6.6	× 641 / 3659	−1.2
7	61,573	2552.5	− 2567	−14.5	× 668 / 3659	−2.6
8	61,574	2575.6	− 2586	−10.4	× 624 / 3659	−1.8
Sum, rounded to a whole point						2

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −13, −9, −6, 4, 10, −6, −1, 2, −1, 2 → −1.8
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 4 · 2016→2017: 3 · 2017→2018: 10 · 2018→2019: 6 · 2019→2022: 16 · 2022→2023: 5 · 2023→2024: 3 · 2024→2025: 3 · 2025→2026: 3 → average 5.9
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 5.9 × 2.66 = 15.7. Upper limit 13.9, lower limit −17.5.

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 — for a district, the total across its schools. From 2014–15, 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.

Alta Loma Elementary