Topaz 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, 74 of the 210 students who took the math test were English learners.

All students

3rd The average 3rd grader scores 66 points under the grade 3 bar. 2370 vs. 2436.
4th The average 4th grader scores just under the grade 3 bar. 2433 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 18 points under the grade 4 bar. 2467 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores just under the grade 5 bar. 2526 vs. 2528. 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 29 students 54 points under the grade 3 bar. 4th 34 students 34 points under the grade 4 bar. 5th 35 students 26 points under the grade 5 bar. 6th 38 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 20 students 84 points under the grade 3 bar. 4th 22 students 30 points under the grade 3 bar. 5th 16 students 45 points under the grade 3 bar. 6th 16 students Just 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
3	51,559	2425.6	− 2436	−10.4	× 62 / 283	−2.3
4	51,560	2461.9	− 2485	−23.1	× 76 / 283	−6.2
5	51,563	2498.1	− 2528	−29.9	× 66 / 283	−7
6	51,564	2539.4	− 2552	−12.6	× 79 / 283	−3.5
Sum, rounded to a whole point						−19

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,877	2414.2	− 2436	−21.8	× 73 / 270	−5.9
4	47,879	2484.5	− 2485	−0.5	× 62 / 270	−0.1
5	47,882	2515.0	− 2528	−13	× 69 / 270	−3.3
6	47,884	2537.5	− 2552	−14.5	× 66 / 270	−3.5
Sum, rounded to a whole point						−13

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	49,182	2432.4	− 2436	−3.6	× 70 / 274	−0.9
4	49,184	2448.6	− 2485	−36.4	× 63 / 274	−8.4
5	49,185	2509.7	− 2528	−18.3	× 70 / 274	−4.7
6	49,187	2547.9	− 2552	−4.1	× 71 / 274	−1.1
Sum, rounded to a whole point						−15

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	49,203	2409.1	− 2436	−26.9	× 82 / 294	−7.5
4	49,206	2465.5	− 2485	−19.5	× 75 / 294	−5
5	49,207	2470.9	− 2528	−57.1	× 72 / 294	−14
6	49,210	2548.3	− 2552	−3.7	× 65 / 294	−0.8
Sum, rounded to a whole point						−27

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	49,403	2413.2	− 2436	−22.8	× 73 / 299	−5.6
4	49,404	2449.6	− 2485	−35.4	× 81 / 299	−9.6
5	49,405	2481.6	− 2528	−46.4	× 73 / 299	−11.3
6	49,406	2526.0	− 2552	−26	× 72 / 299	−6.3
Sum, rounded to a whole point						−33

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	49,327	2387.4	− 2436	−48.6	× 49 / 231	−10.3
4	49,328	2437.8	− 2485	−47.2	× 56 / 231	−11.4
5	49,329	2439.7	− 2528	−88.3	× 63 / 231	−24.1
6	49,330	2495.9	− 2552	−56.1	× 63 / 231	−15.3
Sum, rounded to a whole point						−61

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	49,289	2402.6	− 2436	−33.4	× 63 / 224	−9.4
4	49,290	2469.8	− 2485	−15.2	× 48 / 224	−3.3
5	49,291	2453.7	− 2528	−74.3	× 59 / 224	−19.6
6	49,292	2522.7	− 2552	−29.3	× 54 / 224	−7.1
Sum, rounded to a whole point						−39

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	49,140	2373.2	− 2436	−62.8	× 62 / 225	−17.3
4	49,141	2443.4	− 2485	−41.6	× 63 / 225	−11.6
5	49,142	2456.2	− 2528	−71.8	× 48 / 225	−15.3
6	49,143	2515.3	− 2552	−36.7	× 52 / 225	−8.5
Sum, rounded to a whole point						−53

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	48,896	2356.8	− 2436	−79.2	× 56 / 212	−20.9
4	48,897	2453.3	− 2485	−31.7	× 51 / 212	−7.6
5	48,898	2475.3	− 2528	−52.7	× 56 / 212	−13.9
6	48,899	2516.8	− 2552	−35.2	× 49 / 212	−8.1
Sum, rounded to a whole point						−51

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	48,749	2369.9	− 2436	−66.1	× 49 / 210	−15.4
4	48,750	2433.3	− 2485	−51.7	× 56 / 210	−13.8
5	48,751	2466.8	− 2528	−61.2	× 51 / 210	−14.9
6	48,752	2526.1	− 2552	−25.9	× 54 / 210	−6.7
Sum, rounded to a whole point						−51

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −19, −13, −15, −27, −33, −61, −39, −53, −51, −51 → −36.2
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: 2 · 2017→2018: 12 · 2018→2019: 6 · 2019→2022: 28 · 2022→2023: 22 · 2023→2024: 14 · 2024→2025: 2 · 2025→2026: 0 → average 10.2
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.2 × 2.66 = 27.1. Upper limit −9.1, lower limit −63.3.

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.