Charles E. Mack 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, 232 of the 474 students who took the math test were English learners.

All students

3rd The average 3rd grader scores 76 points under the grade 3 bar. 2360 vs. 2436.
4th The average 4th grader scores 18 points under the grade 3 bar. 2418 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 25 points under the grade 4 bar. 2460 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores 12 points under the grade 4 bar. 2473 vs. 2485. The 6th-grade bar is 2552.

Students fluent in English

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

Grade bars 3rd 61 students 62 points under the grade 3 bar. 4th 48 students 30 points under the grade 4 bar. 5th 68 students Just under the grade 4 bar. 6th 65 students 29 points under the grade 5 bar.

English learners

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

Grade bars 3rd 58 students 91 points under the grade 3 bar. 4th 76 students 41 points under the grade 3 bar. 5th 49 students Just under the grade 3 bar. 6th 49 students 46 points 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	60,169	2380.7	− 2436	−55.3	× 140 / 500	−15.5
4	60,171	2407.5	− 2485	−77.5	× 137 / 500	−21.2
5	60,172	2447.0	− 2528	−81	× 112 / 500	−18.1
6	60,175	2464.8	− 2552	−87.2	× 111 / 500	−19.4
Sum, rounded to a whole point						−74

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	55,866	2367.5	− 2436	−68.5	× 135 / 512	−18.1
4	55,868	2410.7	− 2485	−74.3	× 137 / 512	−19.9
5	55,870	2441.7	− 2528	−86.3	× 127 / 512	−21.4
6	55,871	2482.4	− 2552	−69.6	× 113 / 512	−15.4
Sum, rounded to a whole point						−75

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	57,498	2380.7	− 2436	−55.3	× 117 / 499	−13
4	57,500	2421.4	− 2485	−63.6	× 131 / 499	−16.7
5	57,502	2443.8	− 2528	−84.2	× 139 / 499	−23.5
6	57,505	2478.8	− 2552	−73.2	× 112 / 499	−16.4
Sum, rounded to a whole point						−70

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	57,634	2382.9	− 2436	−53.1	× 123 / 509	−12.8
4	57,635	2449.4	− 2485	−35.6	× 113 / 509	−7.9
5	57,638	2433.8	− 2528	−94.2	× 136 / 509	−25.2
6	57,639	2494.3	− 2552	−57.7	× 137 / 509	−15.5
Sum, rounded to a whole point						−61

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	57,889	2399.5	− 2436	−36.5	× 120 / 482	−9.1
4	57,890	2441.2	− 2485	−43.8	× 121 / 482	−11
5	57,891	2458.1	− 2528	−69.9	× 104 / 482	−15.1
6	57,892	2466.5	− 2552	−85.5	× 137 / 482	−24.3
Sum, rounded to a whole point						−59

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	56,576	2352.2	− 2436	−83.8	× 71 / 327	−18.2
4	56,577	2411.1	− 2485	−73.9	× 83 / 327	−18.8
5	56,578	2448.2	− 2528	−79.8	× 84 / 327	−20.5
6	56,579	2458.8	− 2552	−93.2	× 89 / 327	−25.4
Sum, rounded to a whole point						−83

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	57,930	2369.3	− 2436	−66.7	× 106 / 443	−16
4	57,931	2430.1	− 2485	−54.9	× 117 / 443	−14.5
5	57,932	2434.3	− 2528	−93.7	× 118 / 443	−25
6	57,933	2487.1	− 2552	−64.9	× 102 / 443	−14.9
Sum, rounded to a whole point						−70

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	57,904	2387.5	− 2436	−48.5	× 99 / 465	−10.3
4	57,905	2429.2	− 2485	−55.8	× 114 / 465	−13.7
5	57,906	2424.4	− 2528	−103.6	× 127 / 465	−28.3
6	57,907	2455.5	− 2552	−96.5	× 125 / 465	−25.9
Sum, rounded to a whole point						−78

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	57,800	2379.8	− 2436	−56.2	× 122 / 483	−14.2
4	57,801	2440.4	− 2485	−44.6	× 93 / 483	−8.6
5	57,802	2425.0	− 2528	−103	× 114 / 483	−24.3
6	57,803	2441.2	− 2552	−110.8	× 154 / 483	−35.3
Sum, rounded to a whole point						−82

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	57,560	2365.7	− 2436	−70.3	× 125 / 477	−18.4
4	57,561	2442.2	− 2485	−42.8	× 120 / 477	−10.8
5	57,562	2429.3	− 2528	−98.7	× 117 / 477	−24.2
6	57,563	2428.8	− 2552	−123.2	× 115 / 477	−29.7
Sum, rounded to a whole point						−83

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	57,481	2359.8	− 2436	−76.2	× 119 / 474	−19.1
4	57,482	2418.1	− 2485	−66.9	× 124 / 474	−17.5
5	57,483	2459.8	− 2528	−68.2	× 117 / 474	−16.8
6	57,484	2473.2	− 2552	−78.8	× 114 / 474	−19
Sum, rounded to a whole point						−72

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −74, −75, −70, −61, −59, −83, −70, −78, −82, −83, −72 → −73.4
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 1 · 2016→2017: 5 · 2017→2018: 9 · 2018→2019: 2 · 2019→2021: 24 · 2021→2022: 13 · 2022→2023: 8 · 2023→2024: 4 · 2024→2025: 1 · 2025→2026: 11 → average 7.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.8 × 2.66 = 20.7. Upper limit −52.7, lower limit −94.1.

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.