International Studies Learning Center at Legacy Hi: 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.

6th The average 6th grader scores 29 points under the grade 5 bar. 2499 vs. 2528. The 6th-grade bar is 2552.
7th The average 7th grader scores 24 points under the grade 6 bar. 2528 vs. 2552. The 7th-grade bar is 2567.
8th The average 8th grader scores 19 points under the grade 6 bar. 2533 vs. 2552. The 8th-grade bar is 2586.
11th The average 11th grader scores 36 points under the grade 11 bar. 2592 vs. 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
6	26,738	2460.0	− 2552	−92	× 132 / 506	−24
7	26,740	2500.5	− 2567	−66.5	× 137 / 506	−18
8	26,742	2484.4	− 2586	−101.6	× 133 / 506	−26.7
11	26,744	2589.5	− 2628	−38.5	× 104 / 506	−7.9
Sum, rounded to a whole point						−77

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	24,860	2487.4	− 2552	−64.6	× 138 / 510	−17.5
7	24,862	2471.0	− 2567	−96	× 137 / 510	−25.8
8	24,863	2530.6	− 2586	−55.4	× 131 / 510	−14.2
11	24,865	2609.2	− 2628	−18.8	× 104 / 510	−3.8
Sum, rounded to a whole point						−61

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	25,357	2489.1	− 2552	−62.9	× 139 / 489	−17.9
7	25,359	2496.0	− 2567	−71	× 139 / 489	−20.2
8	25,361	2507.9	− 2586	−78.1	× 130 / 489	−20.8
11	25,362	2620.2	− 2628	−7.8	× 81 / 489	−1.3
Sum, rounded to a whole point						−60

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	25,384	2500.1	− 2552	−51.9	× 138 / 498	−14.4
7	25,386	2489.8	− 2567	−77.2	× 139 / 498	−21.5
8	25,388	2471.6	− 2586	−114.4	× 133 / 498	−30.6
11	25,390	2613.5	− 2628	−14.5	× 88 / 498	−2.6
Sum, rounded to a whole point						−69

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	25,546	2494.3	− 2552	−57.7	× 138 / 506	−15.7
7	25,547	2489.8	− 2567	−77.2	× 144 / 506	−22
8	25,548	2485.8	− 2586	−100.2	× 132 / 506	−26.1
11	25,549	2616.6	− 2628	−11.4	× 92 / 506	−2.1
Sum, rounded to a whole point						−66

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	24,804	2590.5	− 2628	−37.5	× 101 / 101	−37.5
Sum, rounded to a whole point						−38

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	25,489	2476.3	− 2552	−75.7	× 140 / 533	−19.9
7	25,490	2482.3	− 2567	−84.7	× 143 / 533	−22.7
8	25,491	2470.7	− 2586	−115.3	× 153 / 533	−33.1
11	25,492	2590.5	− 2628	−37.5	× 97 / 533	−6.8
Sum, rounded to a whole point						−83

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	25,442	2465.2	− 2552	−86.8	× 142 / 506	−24.4
7	25,443	2454.9	− 2567	−112.1	× 145 / 506	−32.1
8	25,444	2490.3	− 2586	−95.7	× 138 / 506	−26.1
11	25,445	2594.5	− 2628	−33.5	× 81 / 506	−5.4
Sum, rounded to a whole point						−88

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	25,294	2457.8	− 2552	−94.2	× 147 / 532	−26
7	25,295	2509.2	− 2567	−57.8	× 139 / 532	−15.1
8	25,296	2469.9	− 2586	−116.1	× 143 / 532	−31.2
11	25,297	2571.6	− 2628	−56.4	× 103 / 532	−10.9
Sum, rounded to a whole point						−83

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	25,183	2483.2	− 2552	−68.8	× 142 / 518	−18.9
7	25,184	2510.1	− 2567	−56.9	× 150 / 518	−16.5
8	25,185	2527.3	− 2586	−58.7	× 140 / 518	−15.9
11	25,186	2602.8	− 2628	−25.2	× 86 / 518	−4.2
Sum, rounded to a whole point						−55

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	25,211	2498.9	− 2552	−53.1	× 142 / 484	−15.6
7	25,212	2528.3	− 2567	−38.7	× 137 / 484	−11
8	25,213	2532.6	− 2586	−53.4	× 143 / 484	−15.8
11	25,214	2592.3	− 2628	−35.7	× 62 / 484	−4.6
Sum, rounded to a whole point						−47

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −77, −61, −60, −69, −66, −38, −83, −88, −83, −55, −47 → −66.1
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 16 · 2016→2017: 1 · 2017→2018: 9 · 2018→2019: 3 · 2019→2021: 28 · 2021→2022: 45 · 2022→2023: 5 · 2023→2024: 5 · 2024→2025: 28 · 2025→2026: 8 → average 14.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 14.8 × 2.66 = 39.4. Upper limit −26.7, lower limit −105.5.

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.