Mammoth Middle: 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.

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, 62 of the 239 students who took the math test were English learners.

All students

6th The average 6th grader scores 20 points under the grade 6 bar. 2532 vs. 2552.
7th The average 7th grader scores 13 points under the grade 6 bar. 2539 vs. 2552. The 7th-grade bar is 2567.
8th The average 8th grader scores 14 points under the grade 7 bar. 2553 vs. 2567. The 8th-grade bar is 2586.

Students fluent in English

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

Grade bars 6th 54 students Meets the grade 6 bar. 7th 56 students Meets the grade 7 bar. 8th 67 students Meets the grade 8 bar.

English learners

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

Grade bars 6th 20 students Just under the grade 3 bar. 7th 23 students 31 points under the grade 4 bar. 8th 19 students 14 points under the grade 3 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
6	45,231	2516.9	− 2552	−35.1	× 83 / 293	−9.9
7	45,234	2531.1	− 2567	−35.9	× 95 / 293	−11.6
8	45,235	2544.2	− 2586	−41.8	× 115 / 293	−16.4
Sum, rounded to a whole point						−38

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	41,935	2534.9	− 2552	−17.1	× 83 / 266	−5.3
7	41,937	2533.7	− 2567	−33.3	× 88 / 266	−11
8	41,940	2578.0	− 2586	−8	× 95 / 266	−2.9
Sum, rounded to a whole point						−19

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	42,977	2514.2	− 2552	−37.8	× 92 / 271	−12.8
7	42,978	2521.5	− 2567	−45.5	× 91 / 271	−15.3
8	42,980	2564.2	− 2586	−21.8	× 88 / 271	−7.1
Sum, rounded to a whole point						−35

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	42,980	2544.9	− 2552	−7.1	× 99 / 286	−2.5
7	42,981	2536.6	− 2567	−30.4	× 94 / 286	−10
8	42,984	2571.4	− 2586	−14.6	× 93 / 286	−4.7
Sum, rounded to a whole point						−17

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	43,099	2530.9	− 2552	−21.1	× 98 / 299	−6.9
7	43,100	2546.6	− 2567	−20.4	× 108 / 299	−7.4
8	43,101	2581.2	− 2586	−4.8	× 93 / 299	−1.5
Sum, rounded to a whole point						−16

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	42,834	2507.0	− 2552	−45	× 81 / 234	−15.6
7	42,835	2516.3	− 2567	−50.7	× 76 / 234	−16.5
8	42,836	2552.1	− 2586	−33.9	× 77 / 234	−11.2
Sum, rounded to a whole point						−43

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	42,843	2533.7	− 2552	−18.3	× 73 / 231	−5.8
7	42,844	2534.9	− 2567	−32.1	× 79 / 231	−11
8	42,845	2525.5	− 2586	−60.5	× 79 / 231	−20.7
Sum, rounded to a whole point						−37

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	42,672	2517.1	− 2552	−34.9	× 80 / 230	−12.1
7	42,673	2544.5	− 2567	−22.5	× 71 / 230	−6.9
8	42,674	2536.0	− 2586	−50	× 79 / 230	−17.2
Sum, rounded to a whole point						−36

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	42,423	2507.2	− 2552	−44.8	× 82 / 233	−15.8
7	42,424	2520.3	− 2567	−46.7	× 82 / 233	−16.4
8	42,425	2537.4	− 2586	−48.6	× 69 / 233	−14.4
Sum, rounded to a whole point						−47

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	42,331	2531.6	− 2552	−20.4	× 74 / 239	−6.3
7	42,332	2539.4	− 2567	−27.6	× 79 / 239	−9.1
8	42,333	2553.2	− 2586	−32.8	× 86 / 239	−11.8
Sum, rounded to a whole point						−27

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −38, −19, −35, −17, −16, −43, −37, −36, −47, −27 → −31.5
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 19 · 2016→2017: 16 · 2017→2018: 18 · 2018→2019: 1 · 2019→2022: 27 · 2022→2023: 6 · 2023→2024: 1 · 2024→2025: 11 · 2025→2026: 20 → average 13.2
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 13.2 × 2.66 = 35.1. Upper limit 3.6, lower limit −66.6.

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.