Belmont-Redwood Shores 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	82,454	2499.7	− 2436	63.7	× 471 / 2469	12.2
4	82,457	2528.1	− 2485	43.1	× 425 / 2469	7.4
5	82,458	2559.5	− 2528	31.5	× 443 / 2469	5.7
6	82,461	2575.7	− 2552	23.7	× 411 / 2469	3.9
7	82,462	2609.0	− 2567	42	× 375 / 2469	6.4
8	82,464	2624.5	− 2586	38.5	× 344 / 2469	5.4
Sum, rounded to a whole point						41

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,480	2507.7	− 2436	71.7	× 428 / 2549	12
4	76,483	2536.6	− 2485	51.6	× 481 / 2549	9.7
5	76,484	2578.1	− 2528	50.1	× 422 / 2549	8.3
6	76,486	2587.7	− 2552	35.7	× 455 / 2549	6.4
7	76,489	2608.2	− 2567	41.2	× 400 / 2549	6.5
8	76,491	2629.6	− 2586	43.6	× 363 / 2549	6.2
Sum, rounded to a whole point						49

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	78,520	2506.2	− 2436	70.2	× 457 / 2642	12.1
4	78,521	2548.1	− 2485	63.1	× 431 / 2642	10.3
5	78,524	2577.2	− 2528	49.2	× 478 / 2642	8.9
6	78,526	2594.9	− 2552	42.9	× 427 / 2642	6.9
7	78,528	2620.2	− 2567	53.2	× 457 / 2642	9.2
8	78,530	2631.1	− 2586	45.1	× 392 / 2642	6.7
Sum, rounded to a whole point						54

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	78,663	2505.7	− 2436	69.7	× 449 / 2722	11.5
4	78,664	2549.3	− 2485	64.3	× 458 / 2722	10.8
5	78,667	2578.8	− 2528	50.8	× 439 / 2722	8.2
6	78,668	2606.4	− 2552	54.4	× 487 / 2722	9.7
7	78,671	2628.1	− 2567	61.1	× 436 / 2722	9.8
8	78,672	2651.2	− 2586	65.2	× 453 / 2722	10.9
Sum, rounded to a whole point						61

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,193	2516.6	− 2436	80.6	× 483 / 2751	14.2
4	79,194	2553.7	− 2485	68.7	× 453 / 2751	11.3
5	79,195	2583.3	− 2528	55.3	× 452 / 2751	9.1
6	79,196	2613.1	− 2552	61.1	× 450 / 2751	10
7	79,197	2642.1	− 2567	75.1	× 478 / 2751	13
8	79,198	2669.1	− 2586	83.1	× 435 / 2751	13.1
Sum, rounded to a whole point						71

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,754	2506.7	− 2436	70.7	× 433 / 2584	11.8
4	77,755	2542.8	− 2485	57.8	× 434 / 2584	9.7
5	77,756	2562.6	− 2528	34.6	× 456 / 2584	6.1
6	77,757	2602.5	− 2552	50.5	× 469 / 2584	9.2
7	77,758	2639.5	− 2567	72.5	× 388 / 2584	10.9
8	77,759	2662.6	− 2586	76.6	× 404 / 2584	12
Sum, rounded to a whole point						60

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,439	2509.7	− 2436	73.7	× 376 / 2572	10.8
4	79,440	2548.8	− 2485	63.8	× 431 / 2572	10.7
5	79,441	2589.5	− 2528	61.5	× 430 / 2572	10.3
6	79,442	2602.6	− 2552	50.6	× 478 / 2572	9.4
7	79,443	2648.9	− 2567	81.9	× 462 / 2572	14.7
8	79,444	2662.3	− 2586	76.3	× 395 / 2572	11.7
Sum, rounded to a whole point						68

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,415	2524.5	− 2436	88.5	× 418 / 2658	13.9
4	79,416	2549.6	− 2485	64.6	× 385 / 2658	9.4
5	79,417	2589.8	− 2528	61.8	× 443 / 2658	10.3
6	79,418	2624.3	− 2552	72.3	× 460 / 2658	12.5
7	79,419	2637.1	− 2567	70.1	× 483 / 2658	12.7
8	79,420	2659.0	− 2586	73	× 469 / 2658	12.9
Sum, rounded to a whole point						72

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,441	2516.7	− 2436	80.7	× 422 / 2672	12.7
4	79,442	2564.4	− 2485	79.4	× 428 / 2672	12.7
5	79,443	2587.6	− 2528	59.6	× 402 / 2672	9
6	79,444	2622.1	− 2552	70.1	× 470 / 2672	12.3
7	79,445	2650.3	− 2567	83.3	× 466 / 2672	14.5
8	79,446	2648.5	− 2586	62.5	× 484 / 2672	11.3
Sum, rounded to a whole point						73

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,107	2518.2	− 2436	82.2	× 394 / 2605	12.4
4	79,108	2551.2	− 2485	66.2	× 439 / 2605	11.2
5	79,109	2595.3	− 2528	67.3	× 448 / 2605	11.6
6	79,110	2624.1	− 2552	72.1	× 397 / 2605	11
7	79,111	2664.0	− 2567	97	× 469 / 2605	17.5
8	79,112	2680.8	− 2586	94.8	× 458 / 2605	16.7
Sum, rounded to a whole point						80

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,033	2519.9	− 2436	83.9	× 393 / 2570	12.8
4	79,034	2556.0	− 2485	71	× 408 / 2570	11.3
5	79,035	2592.9	− 2528	64.9	× 444 / 2570	11.2
6	79,036	2639.8	− 2552	87.8	× 458 / 2570	15.6
7	79,037	2665.0	− 2567	98	× 394 / 2570	15
8	79,038	2692.4	− 2586	106.4	× 473 / 2570	19.6
Sum, rounded to a whole point						86

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 41, 49, 54, 61, 71, 60, 68, 72, 73, 80, 86 → 65
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 8 · 2016→2017: 5 · 2017→2018: 7 · 2018→2019: 10 · 2019→2021: 11 · 2021→2022: 8 · 2022→2023: 4 · 2023→2024: 1 · 2024→2025: 7 · 2025→2026: 6 → average 6.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 6.7 × 2.66 = 17.8. Upper limit 82.8, lower limit 47.2.

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.

Belmont-Redwood Shores Elementary