IvyTech Charter: 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 11.

8th The average 8th grader scores 34 points under the grade 4 bar. 2451 vs. 2485. The 8th-grade bar is 2586.
11th The average 11th grader scores 38 points under the grade 5 bar. 2490 vs. 2528. The 11th-grade bar is 2628.

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
8	104,915	2520.9	− 2586	−65.1	× 13 / 33	−25.6
11	104,916	2465.6	− 2628	−162.4	× 20 / 33	−98.4
Sum, rounded to a whole point						−124

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	97,454	2522.2	− 2628	−105.8	× 18 / 18	−105.8
Sum, rounded to a whole point						−106

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
8	100,281	2539.1	− 2586	−46.9	× 12 / 31	−18.2
11	100,282	2492.1	− 2628	−135.9	× 19 / 31	−83.3
Sum, rounded to a whole point						−101

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	100,438	2529.9	− 2567	−37.1	× 13 / 13	−37.1
Sum, rounded to a whole point						−37

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
8	101,099	2516.8	− 2586	−69.2	× 12 / 25	−33.2
11	101,100	2550.8	− 2628	−77.2	× 13 / 25	−40.1
Sum, rounded to a whole point						−73

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	98,955	2493.7	− 2628	−134.3	× 14 / 14	−134.3
Sum, rounded to a whole point						−134

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	101,349	2546.8	− 2628	−81.2	× 24 / 24	−81.2
Sum, rounded to a whole point						−81

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	101,179	2493.9	− 2628	−134.1	× 15 / 15	−134.1
Sum, rounded to a whole point						−134

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	101,056	2525.4	− 2628	−102.6	× 24 / 24	−102.6
Sum, rounded to a whole point						−103

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
8	100,382	2451.2	− 2586	−134.8	× 16 / 28	−77
11	100,383	2490.1	− 2628	−137.9	× 12 / 28	−59.1
Sum, rounded to a whole point						−136

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −124, −106, −101, −37, −73, −134, −81, −134, −103, −136 → −102.9
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 18 · 2016→2017: 5 · 2017→2018: 64 · 2018→2019: 36 · 2019→2021: 61 · 2021→2022: 53 · 2022→2023: 53 · 2023→2024: 31 · 2024→2026: 33 → average 39.3
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 39.3 × 2.66 = 104.5. Upper limit 1.6, lower limit −207.4.

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.