Cottage Hill 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 5.

3rd The average 3rd grader scores 11 points under the grade 3 bar. 2425 vs. 2436.
4th The average 4th grader scores just under the grade 3 bar. 2431 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 34 points under the grade 5 bar. 2494 vs. 2528.

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	47,539	2438.8	− 2436	2.8	× 62 / 216	0.8
4	47,540	2485.7	− 2485	0.7	× 75 / 216	0.2
5	47,543	2526.5	− 2528	−1.5	× 79 / 216	−0.5
Sum, rounded to a whole point						0

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	44,203	2434.2	− 2436	−1.8	× 82 / 234	−0.6
4	44,205	2495.7	− 2485	10.7	× 72 / 234	3.3
5	44,208	2497.9	− 2528	−30.1	× 80 / 234	−10.3
Sum, rounded to a whole point						−8

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	45,289	2426.1	− 2436	−9.9	× 65 / 235	−2.7
4	45,291	2503.3	− 2485	18.3	× 91 / 235	7.1
5	45,293	2505.6	− 2528	−22.4	× 79 / 235	−7.5
Sum, rounded to a whole point						−3

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	45,314	2431.7	− 2436	−4.3	× 62 / 220	−1.2
4	45,315	2478.0	− 2485	−7	× 67 / 220	−2.1
5	45,318	2509.0	− 2528	−19	× 91 / 220	−7.9
Sum, rounded to a whole point						−11

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	45,445	2437.5	− 2436	1.5	× 61 / 196	0.5
4	45,446	2483.6	− 2485	−1.4	× 65 / 196	−0.5
5	45,447	2503.9	− 2528	−24.1	× 70 / 196	−8.6
Sum, rounded to a whole point						−9

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	44,119	2430.8	− 2436	−5.2	× 45 / 136	−1.7
4	44,120	2450.7	− 2485	−34.3	× 52 / 136	−13.1
5	44,121	2464.7	− 2528	−63.3	× 39 / 136	−18.2
Sum, rounded to a whole point						−33

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	45,146	2434.4	− 2436	−1.6	× 94 / 215	−0.7
4	45,147	2469.1	− 2485	−15.9	× 56 / 215	−4.1
5	45,148	2465.8	− 2528	−62.2	× 65 / 215	−18.8
Sum, rounded to a whole point						−24

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	45,114	2424.7	− 2436	−11.3	× 75 / 241	−3.5
4	45,115	2463.1	− 2485	−21.9	× 93 / 241	−8.5
5	45,116	2506.1	− 2528	−21.9	× 73 / 241	−6.6
Sum, rounded to a whole point						−19

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	44,959	2449.3	− 2436	13.3	× 71 / 251	3.8
4	44,960	2447.4	− 2485	−37.6	× 82 / 251	−12.3
5	44,961	2502.5	− 2528	−25.5	× 98 / 251	−10
Sum, rounded to a whole point						−18

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	44,705	2409.7	− 2436	−26.3	× 77 / 234	−8.7
4	44,706	2489.5	− 2485	4.5	× 74 / 234	1.4
5	44,707	2484.5	− 2528	−43.5	× 83 / 234	−15.4
Sum, rounded to a whole point						−23

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	44,562	2425.2	− 2436	−10.8	× 77 / 232	−3.6
4	44,563	2431.4	− 2485	−53.6	× 79 / 232	−18.3
5	44,564	2493.9	− 2528	−34.1	× 76 / 232	−11.2
Sum, rounded to a whole point						−33

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 0, −8, −3, −11, −9, −33, −24, −19, −18, −23, −33 → −16.5
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: 8 · 2018→2019: 2 · 2019→2021: 24 · 2021→2022: 9 · 2022→2023: 5 · 2023→2024: 1 · 2024→2025: 5 · 2025→2026: 10 → average 7.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.7 × 2.66 = 20.5. Upper limit 4, lower limit −37.

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.