Grace Hopper STEM Academy: 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 8.

6th The average 6th grader scores 20 points under the grade 3 bar. 2416 vs. 2436. The 6th-grade bar is 2552.
7th The average 7th grader scores 21 points under the grade 4 bar. 2464 vs. 2485. The 7th-grade bar is 2567.
8th The average 8th grader scores 26 points under the grade 5 bar. 2502 vs. 2528. The 8th-grade bar is 2586.

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
6	24,547	2430.6	− 2552	−121.4	× 20 / 61	−39.8
7	24,550	2480.7	− 2567	−86.3	× 18 / 61	−25.5
8	24,551	2450.9	− 2586	−135.1	× 23 / 61	−50.9
Sum, rounded to a whole point						−116

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	22,914	2431.4	− 2552	−120.6	× 25 / 90	−33.5
7	22,916	2452.5	− 2567	−114.5	× 30 / 90	−38.2
8	22,918	2483.9	− 2586	−102.1	× 35 / 90	−39.7
Sum, rounded to a whole point						−111

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	23,348	2411.6	− 2552	−140.4	× 34 / 111	−43
7	23,350	2441.5	− 2567	−125.5	× 41 / 111	−46.4
8	23,353	2464.8	− 2586	−121.2	× 36 / 111	−39.3
Sum, rounded to a whole point						−129

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	23,358	2445.1	− 2552	−106.9	× 18 / 94	−20.5
7	23,360	2432.2	− 2567	−134.8	× 36 / 94	−51.6
8	23,362	2458.8	− 2586	−127.2	× 40 / 94	−54.1
Sum, rounded to a whole point						−126

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	23,531	2423.5	− 2552	−128.5	× 26 / 95	−35.2
7	23,532	2432.0	− 2567	−135	× 29 / 95	−41.2
8	23,533	2468.8	− 2586	−117.2	× 40 / 95	−49.3
Sum, rounded to a whole point						−126

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	23,455	2418.4	− 2567	−148.6	× 20 / 47	−63.2
8	23,456	2405.1	− 2586	−180.9	× 27 / 47	−103.9
Sum, rounded to a whole point						−167

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	23,429	2394.9	− 2552	−157.1	× 20 / 73	−43
7	23,430	2420.5	− 2567	−146.5	× 23 / 73	−46.2
8	23,431	2432.5	− 2586	−153.5	× 30 / 73	−63.1
Sum, rounded to a whole point						−152

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	23,291	2434.7	− 2552	−117.3	× 14 / 77	−21.3
7	23,292	2412.8	− 2567	−154.2	× 34 / 77	−68.1
8	23,293	2414.1	− 2586	−171.9	× 29 / 77	−64.7
Sum, rounded to a whole point						−154

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	23,200	2442.5	− 2552	−109.5	× 28 / 95	−32.3
7	23,201	2466.3	− 2567	−100.7	× 27 / 95	−28.6
8	23,202	2451.4	− 2586	−134.6	× 40 / 95	−56.7
Sum, rounded to a whole point						−118

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	23,268	2416.0	− 2552	−136	× 21 / 77	−37.1
7	23,269	2464.1	− 2567	−102.9	× 30 / 77	−40.1
8	23,270	2501.7	− 2586	−84.3	× 26 / 77	−28.5
Sum, rounded to a whole point						−106

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −116, −111, −129, −126, −126, −167, −152, −154, −118, −106 → −130.5
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 5 · 2016→2017: 18 · 2017→2018: 3 · 2018→2019: 0 · 2019→2022: 41 · 2022→2023: 15 · 2023→2024: 2 · 2024→2025: 36 · 2025→2026: 12 → average 14.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 14.7 × 2.66 = 39.1. Upper limit −91.4, lower limit −169.6.

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.