Riverway 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 6.

3rd The average 3rd grader scores 40 points under the grade 3 bar. 2396 vs. 2436.
4th The average 4th grader meets the grade 4 bar. 2488 vs. 2485.
5th The average 5th grader scores 38 points under the grade 5 bar. 2490 vs. 2528.
6th The average 6th grader scores just under the grade 5 bar. 2522 vs. 2528. The 6th-grade bar is 2552.

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	101,696	2407.2	− 2436	−28.8	× 71 / 309	−6.6
4	101,697	2417.2	− 2485	−67.8	× 89 / 309	−19.5
5	101,700	2429.2	− 2528	−98.8	× 67 / 309	−21.4
6	101,701	2491.2	− 2552	−60.8	× 82 / 309	−16.1
Sum, rounded to a whole point						−64

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,405	2423.2	− 2436	−12.8	× 76 / 292	−3.3
4	94,407	2433.3	− 2485	−51.7	× 67 / 292	−11.9
5	94,408	2445.2	− 2528	−82.8	× 81 / 292	−23
6	94,411	2449.5	− 2552	−102.5	× 68 / 292	−23.9
Sum, rounded to a whole point						−62

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,181	2437.2	− 2436	1.2	× 77 / 304	0.3
4	97,182	2414.8	− 2485	−70.2	× 81 / 304	−18.7
5	97,184	2413.4	− 2528	−114.6	× 68 / 304	−25.6
6	97,186	2435.1	− 2552	−116.9	× 78 / 304	−30
Sum, rounded to a whole point						−74

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,359	2443.6	− 2436	7.6	× 83 / 290	2.2
4	97,361	2457.1	− 2485	−27.9	× 81 / 290	−7.8
5	97,363	2444.7	− 2528	−83.3	× 83 / 290	−23.8
6	97,365	2477.3	− 2552	−74.7	× 43 / 290	−11.1
Sum, rounded to a whole point						−41

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	98,014	2434.2	− 2436	−1.8	× 91 / 353	−0.5
4	98,015	2474.9	− 2485	−10.1	× 86 / 353	−2.5
5	98,016	2463.4	− 2528	−64.6	× 92 / 353	−16.8
6	98,017	2486.2	− 2552	−65.8	× 84 / 353	−15.7
Sum, rounded to a whole point						−35

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,883	2414.2	− 2436	−21.8	× 25 / 66	−8.3
5	95,885	2457.4	− 2528	−70.6	× 13 / 66	−13.9
6	95,886	2505.7	− 2552	−46.3	× 28 / 66	−19.6
Sum, rounded to a whole point						−42

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	98,216	2411.8	− 2436	−24.2	× 96 / 425	−5.5
4	98,217	2448.4	− 2485	−36.6	× 132 / 425	−11.4
5	98,218	2436.5	− 2528	−91.5	× 111 / 425	−23.9
6	98,219	2497.7	− 2552	−54.3	× 86 / 425	−11
Sum, rounded to a whole point						−52

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	98,055	2432.2	− 2436	−3.8	× 123 / 475	−1
4	98,056	2451.2	− 2485	−33.8	× 99 / 475	−7
5	98,057	2455.0	− 2528	−73	× 129 / 475	−19.8
6	98,058	2461.4	− 2552	−90.6	× 124 / 475	−23.7
Sum, rounded to a whole point						−52

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,962	2416.6	− 2436	−19.4	× 126 / 500	−4.9
4	97,963	2466.3	− 2485	−18.7	× 121 / 500	−4.5
5	97,964	2428.8	− 2528	−99.2	× 109 / 500	−21.6
6	97,965	2469.5	− 2552	−82.5	× 144 / 500	−23.8
Sum, rounded to a whole point						−55

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,667	2432.2	− 2436	−3.8	× 114 / 486	−0.9
4	97,668	2469.3	− 2485	−15.7	× 136 / 486	−4.4
5	97,669	2468.4	− 2528	−59.6	× 127 / 486	−15.6
6	97,670	2486.4	− 2552	−65.6	× 109 / 486	−14.7
Sum, rounded to a whole point						−36

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,295	2395.9	− 2436	−40.1	× 80 / 322	−10
4	97,296	2488.1	− 2485	3.1	× 75 / 322	0.7
5	97,297	2490.1	− 2528	−37.9	× 86 / 322	−10.1
6	97,298	2521.5	− 2552	−30.5	× 81 / 322	−7.7
Sum, rounded to a whole point						−27

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −64, −62, −74, −41, −35, −42, −52, −52, −55, −36, −27 → −49.1
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 2 · 2016→2017: 12 · 2017→2018: 33 · 2018→2019: 6 · 2019→2021: 7 · 2021→2022: 10 · 2022→2023: 0 · 2023→2024: 3 · 2024→2025: 19 · 2025→2026: 9 → average 10.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.1 × 2.66 = 26.9. Upper limit −22.2, lower limit −76.

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.