Dr. J. Michael McGrath Elementary: 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 6.

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, 99 of the 243 students who took the math test were English learners.

All students

3rd The average 3rd grader scores 10 points under the grade 3 bar. 2426 vs. 2436.
4th The average 4th grader scores 14 points under the grade 4 bar. 2472 vs. 2485.
5th The average 5th grader scores 25 points under the grade 5 bar. 2503 vs. 2528.
6th The average 6th grader scores just under the grade 6 bar. 2545 vs. 2552.

Students fluent in English

Math with English out of the way. Includes students who have only ever spoken English.

Grade bars 3rd 36 students Meets the grade 3 bar. 4th 36 students Meets the grade 4 bar. 5th 32 students 20 points under the grade 5 bar. 6th 40 students Meets the grade 6 bar.

English learners

Students leave this group as they become fluent, so its average stays low even where they learn well.

Grade bars 3rd 33 students 22 points under the grade 3 bar. 4th 27 students 32 points under the grade 4 bar. 5th 22 students 34 points under the grade 5 bar. 6th 17 students Just under the grade 4 bar.

the group's average that grade's own bar the distance between

2026 results. "Meets standard" is the state's mark for being on track for that grade. The state leaves out any group of ten students or fewer, so a grade may be missing from the charts.

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	35,150	2437.2	− 2436	1.2	× 100 / 374	0.3
4	35,152	2471.5	− 2485	−13.5	× 90 / 374	−3.2
5	35,154	2521.6	− 2528	−6.4	× 100 / 374	−1.7
6	35,156	2538.7	− 2552	−13.3	× 84 / 374	−3
Sum, rounded to a whole point						−8

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	32,818	2453.1	− 2436	17.1	× 111 / 400	4.7
4	32,819	2471.3	− 2485	−13.7	× 102 / 400	−3.5
5	32,822	2536.4	− 2528	8.4	× 86 / 400	1.8
6	32,824	2530.8	− 2552	−21.2	× 101 / 400	−5.4
Sum, rounded to a whole point						−2

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	33,388	2438.8	− 2436	2.8	× 102 / 400	0.7
4	33,389	2469.7	− 2485	−15.3	× 107 / 400	−4.1
5	33,392	2519.9	− 2528	−8.1	× 103 / 400	−2.1
6	33,393	2543.1	− 2552	−8.9	× 88 / 400	−2
Sum, rounded to a whole point						−7

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	33,408	2420.4	− 2436	−15.6	× 106 / 413	−4
4	33,409	2463.0	− 2485	−22	× 97 / 413	−5.2
5	33,412	2525.3	− 2528	−2.7	× 104 / 413	−0.7
6	33,413	2540.3	− 2552	−11.7	× 106 / 413	−3
Sum, rounded to a whole point						−13

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	33,580	2392.1	− 2436	−43.9	× 95 / 418	−10
4	33,581	2458.1	− 2485	−26.9	× 111 / 418	−7.1
5	33,582	2526.5	− 2528	−1.5	× 94 / 418	−0.3
6	33,583	2539.8	− 2552	−12.2	× 118 / 418	−3.4
Sum, rounded to a whole point						−21

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	32,787	2436.8	− 2436	0.8	× 121 / 533	0.2
4	32,788	2436.6	− 2485	−48.4	× 133 / 533	−12.1
5	32,789	2482.8	− 2528	−45.2	× 119 / 533	−10.1
6	32,790	2500.3	− 2552	−51.7	× 160 / 533	−15.5
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
3	33,511	2412.7	− 2436	−23.3	× 74 / 331	−5.2
4	33,512	2438.5	− 2485	−46.5	× 76 / 331	−10.7
5	33,513	2500.0	− 2528	−28	× 94 / 331	−8
6	33,514	2512.1	− 2552	−39.9	× 87 / 331	−10.5
Sum, rounded to a whole point						−34

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	33,562	2416.2	− 2436	−19.8	× 65 / 294	−4.4
4	33,563	2465.5	− 2485	−19.5	× 64 / 294	−4.2
5	33,564	2492.7	− 2528	−35.3	× 74 / 294	−8.9
6	33,565	2526.8	− 2552	−25.2	× 91 / 294	−7.8
Sum, rounded to a whole point						−25

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	33,422	2436.5	− 2436	0.5	× 55 / 250	0.1
4	33,423	2467.6	− 2485	−17.4	× 61 / 250	−4.2
5	33,424	2470.9	− 2528	−57.1	× 60 / 250	−13.7
6	33,425	2564.1	− 2552	12.1	× 74 / 250	3.6
Sum, rounded to a whole point						−14

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	33,283	2413.1	− 2436	−22.9	× 55 / 228	−5.5
4	33,284	2472.9	− 2485	−12.1	× 52 / 228	−2.8
5	33,285	2499.3	− 2528	−28.7	× 57 / 228	−7.2
6	33,286	2543.7	− 2552	−8.3	× 64 / 228	−2.3
Sum, rounded to a whole point						−18

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	33,285	2426.2	− 2436	−9.8	× 69 / 243	−2.8
4	33,286	2471.5	− 2485	−13.5	× 63 / 243	−3.5
5	33,287	2502.6	− 2528	−25.4	× 54 / 243	−5.6
6	33,288	2544.6	− 2552	−7.4	× 57 / 243	−1.7
Sum, rounded to a whole point						−14

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −8, −2, −7, −13, −21, −38, −34, −25, −14, −18, −14 → −17.6
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 6 · 2016→2017: 5 · 2017→2018: 6 · 2018→2019: 8 · 2019→2021: 17 · 2021→2022: 4 · 2022→2023: 9 · 2023→2024: 11 · 2024→2025: 4 · 2025→2026: 4 → average 7.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.4 × 2.66 = 19.7. Upper limit 2.1, lower limit −37.3.

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 2014–15, 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.