Ingenuity 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.

7th The average 7th grader scores 33 points under the grade 3 bar. 2403 vs. 2436. The 7th-grade bar is 2567.
11th The average 11th grader scores 38 points under the grade 4 bar. 2447 vs. 2485. 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.

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	68,553	2466.6	− 2628	−161.4	× 22 / 22	−161.4
Sum, rounded to a whole point						−161

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
8	70,369	2441.6	− 2586	−144.4	× 18 / 53	−49
11	70,371	2476.7	− 2628	−151.3	× 35 / 53	−99.9
Sum, rounded to a whole point						−149

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	70,490	2396.9	− 2567	−170.1	× 12 / 74	−27.6
8	70,493	2432.8	− 2586	−153.2	× 15 / 74	−31.1
11	70,494	2453.9	− 2628	−174.1	× 47 / 74	−110.6
Sum, rounded to a whole point						−169

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	70,964	2424.6	− 2567	−142.4	× 15 / 78	−27.4
8	70,965	2397.3	− 2586	−188.7	× 23 / 78	−55.6
11	70,966	2472.9	− 2628	−155.1	× 40 / 78	−79.5
Sum, rounded to a whole point						−163

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
8	71,049	2448.3	− 2586	−137.7	× 14 / 72	−26.8
11	71,050	2459.8	− 2628	−168.2	× 58 / 72	−135.5
Sum, rounded to a whole point						−162

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
8	71,047	2462.3	− 2586	−123.7	× 22 / 101	−26.9
11	71,048	2457.2	− 2628	−170.8	× 79 / 101	−133.6
Sum, rounded to a whole point						−161

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	71,020	2440.6	− 2567	−126.4	× 13 / 106	−15.5
8	71,021	2404.6	− 2586	−181.4	× 26 / 106	−44.5
11	71,022	2430.6	− 2628	−197.4	× 67 / 106	−124.8
Sum, rounded to a whole point						−185

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	70,736	2429.6	− 2567	−137.4	× 12 / 102	−16.2
8	70,737	2426.1	− 2586	−159.9	× 17 / 102	−26.7
11	70,738	2455.7	− 2628	−172.3	× 73 / 102	−123.3
Sum, rounded to a whole point						−166

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	70,755	2403.2	− 2567	−163.8	× 13 / 60	−35.5
11	70,757	2447.3	− 2628	−180.7	× 47 / 60	−141.5
Sum, rounded to a whole point						−177

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −161, −149, −169, −163, −162, −161, −185, −166, −177 → −165.9
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2016→2017: 12 · 2017→2018: 20 · 2018→2019: 6 · 2019→2022: 1 · 2022→2023: 1 · 2023→2024: 24 · 2024→2025: 19 · 2025→2026: 11 → average 11.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 11.8 × 2.66 = 31.4. Upper limit −134.5, lower limit −197.3.

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 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.