Monarch: math · Schoolio

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.

Many students here are still learning English. The math test is written in English, with some translation help, and many of its questions are word problems. In 2026, 57 of the 117 students who took the math test were English learners.

3rd The average 3rd grader scores 131 points under the grade 3 bar. 2305 vs. 2436.
4th The average 4th grader scores 97 points under the grade 3 bar. 2339 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 97 points under the grade 3 bar. 2339 vs. 2436. The 5th-grade bar is 2528.
6th The average 6th grader scores 15 points under the grade 3 bar. 2421 vs. 2436. The 6th-grade bar is 2552.
7th The average 7th grader scores 11 points under the grade 3 bar. 2425 vs. 2436. The 7th-grade bar is 2567.
8th The average 8th grader scores 13 points under the grade 4 bar. 2472 vs. 2485. The 8th-grade bar is 2586.
11th The average 11th grader scores 20 points under the grade 3 bar. 2416 vs. 2436. 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
3	69,911	2338.1	− 2436	−97.9	× 23 / 150	−15
4	69,912	2391.3	− 2485	−93.7	× 23 / 150	−14.4
5	69,915	2425.1	− 2528	−102.9	× 19 / 150	−13
6	69,916	2438.7	− 2552	−113.3	× 21 / 150	−15.9
7	69,919	2471.2	− 2567	−95.8	× 21 / 150	−13.4
8	69,920	2408.3	− 2586	−177.7	× 23 / 150	−27.2
11	69,923	2462.3	− 2628	−165.7	× 20 / 150	−22.1
Sum, rounded to a whole point						−121

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	64,812	2326.5	− 2436	−109.5	× 24 / 139	−18.9
4	64,813	2358.8	− 2485	−126.2	× 23 / 139	−20.9
5	64,816	2356.1	− 2528	−171.9	× 20 / 139	−24.7
6	64,818	2493.4	− 2552	−58.6	× 22 / 139	−9.3
7	64,819	2470.9	− 2567	−96.1	× 17 / 139	−11.8
8	64,822	2477.7	− 2586	−108.3	× 18 / 139	−14
11	64,823	2494.7	− 2628	−133.3	× 15 / 139	−14.4
Sum, rounded to a whole point						−114

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	66,636	2325.9	− 2436	−110.1	× 23 / 146	−17.3
4	66,637	2380.1	− 2485	−104.9	× 21 / 146	−15.1
5	66,639	2389.3	− 2528	−138.7	× 24 / 146	−22.8
6	66,641	2436.0	− 2552	−116	× 24 / 146	−19.1
7	66,644	2445.8	− 2567	−121.2	× 20 / 146	−16.6
8	66,645	2447.7	− 2586	−138.3	× 20 / 146	−18.9
11	66,647	2504.0	− 2628	−124	× 14 / 146	−11.9
Sum, rounded to a whole point						−122

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	66,704	2342.6	− 2436	−93.4	× 17 / 134	−11.8
4	66,705	2405.3	− 2485	−79.7	× 18 / 134	−10.7
5	66,708	2362.0	− 2528	−166	× 23 / 134	−28.5
6	66,709	2497.1	− 2552	−54.9	× 20 / 134	−8.2
7	66,712	2468.7	− 2567	−98.3	× 18 / 134	−13.2
8	66,713	2407.9	− 2586	−178.1	× 18 / 134	−23.9
11	66,716	2437.5	− 2628	−190.5	× 20 / 134	−28.4
Sum, rounded to a whole point						−125

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,138	2337.6	− 2436	−98.4	× 19 / 132	−14.2
4	67,139	2417.9	− 2485	−67.1	× 16 / 132	−8.1
5	67,140	2379.6	− 2528	−148.4	× 19 / 132	−21.4
6	67,141	2432.7	− 2552	−119.3	× 17 / 132	−15.4
7	67,142	2469.4	− 2567	−97.6	× 22 / 132	−16.3
8	67,143	2414.5	− 2586	−171.5	× 19 / 132	−24.7
11	67,144	2450.9	− 2628	−177.1	× 20 / 132	−26.8
Sum, rounded to a whole point						−127

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,749	2332.9	− 2436	−103.1	× 14 / 89	−16.2
4	65,750	2330.5	− 2485	−154.5	× 12 / 89	−20.8
5	65,751	2347.2	− 2528	−180.8	× 11 / 89	−22.3
6	65,752	2384.4	− 2552	−167.6	× 18 / 89	−33.9
7	65,753	2392.2	− 2567	−174.8	× 11 / 89	−21.6
8	65,754	2416.2	− 2586	−169.8	× 23 / 89	−43.9
Sum, rounded to a whole point						−159

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,246	2298.4	− 2436	−137.6	× 19 / 110	−23.8
4	67,247	2340.2	− 2485	−144.8	× 16 / 110	−21.1
5	67,248	2331.9	− 2528	−196.1	× 18 / 110	−32.1
6	67,249	2381.6	− 2552	−170.4	× 18 / 110	−27.9
7	67,250	2428.9	− 2567	−138.1	× 21 / 110	−26.4
8	67,251	2365.1	− 2586	−220.9	× 18 / 110	−36.1
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
3	67,256	2307.4	− 2436	−128.6	× 16 / 102	−20.2
4	67,257	2370.1	− 2485	−114.9	× 18 / 102	−20.3
5	67,258	2364.3	− 2528	−163.7	× 15 / 102	−24.1
6	67,259	2390.4	− 2552	−161.6	× 13 / 102	−20.6
7	67,260	2406.0	− 2567	−161	× 19 / 102	−30
8	67,261	2371.7	− 2586	−214.3	× 21 / 102	−44.1
Sum, rounded to a whole point						−159

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,246	2319.6	− 2436	−116.4	× 20 / 126	−18.5
4	67,247	2322.3	− 2485	−162.7	× 21 / 126	−27.1
5	67,248	2371.1	− 2528	−156.9	× 22 / 126	−27.4
6	67,249	2451.2	− 2552	−100.8	× 13 / 126	−10.4
7	67,250	2408.1	− 2567	−158.9	× 19 / 126	−24
8	67,251	2388.1	− 2586	−197.9	× 19 / 126	−29.8
11	67,252	2446.2	− 2628	−181.8	× 12 / 126	−17.3
Sum, rounded to a whole point						−155

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	66,996	2327.3	− 2436	−108.7	× 13 / 115	−12.3
4	66,997	2359.2	− 2485	−125.8	× 17 / 115	−18.6
5	66,998	2357.0	− 2528	−171	× 21 / 115	−31.2
6	66,999	2401.6	− 2552	−150.4	× 19 / 115	−24.8
7	67,000	2416.4	− 2567	−150.6	× 16 / 115	−21
8	67,001	2392.3	− 2586	−193.7	× 16 / 115	−26.9
11	67,002	2472.6	− 2628	−155.4	× 13 / 115	−17.6
Sum, rounded to a whole point						−152

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	66,993	2304.8	− 2436	−131.2	× 18 / 117	−20.2
4	66,994	2338.7	− 2485	−146.3	× 17 / 117	−21.3
5	66,995	2339.1	− 2528	−188.9	× 14 / 117	−22.6
6	66,996	2420.8	− 2552	−131.2	× 18 / 117	−20.2
7	66,997	2425.4	− 2567	−141.6	× 17 / 117	−20.6
8	66,998	2471.7	− 2586	−114.3	× 13 / 117	−12.7
11	66,999	2416.4	− 2628	−211.6	× 20 / 117	−36.2
Sum, rounded to a whole point						−154

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −121, −114, −122, −125, −127, −159, −167, −159, −155, −152, −154 → −141.4
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 7 · 2016→2017: 8 · 2017→2018: 3 · 2018→2019: 2 · 2019→2021: 32 · 2021→2022: 8 · 2022→2023: 8 · 2023→2024: 4 · 2024→2025: 3 · 2025→2026: 2 → 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 −120.9, lower limit −161.9.

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.