Tahoe 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.

3rd The average 3rd grader scores 59 points under the grade 3 bar. 2377 vs. 2436.
4th The average 4th grader scores 44 points under the grade 3 bar. 2392 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 37 points under the grade 3 bar. 2399 vs. 2436. The 5th-grade bar is 2528.
6th The average 6th grader scores 13 points under the grade 4 bar. 2472 vs. 2485. The 6th-grade bar is 2552.

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	61,792	2376.4	− 2436	−59.6	× 44 / 176	−14.9
4	61,794	2393.6	− 2485	−91.4	× 38 / 176	−19.7
5	61,796	2410.0	− 2528	−118	× 49 / 176	−32.9
6	61,798	2460.5	− 2552	−91.5	× 45 / 176	−23.4
Sum, rounded to a whole point						−91

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	57,353	2389.7	− 2436	−46.3	× 60 / 203	−13.7
4	57,356	2397.0	− 2485	−88	× 48 / 203	−20.8
5	57,357	2404.5	− 2528	−123.5	× 46 / 203	−28
6	57,359	2439.3	− 2552	−112.7	× 49 / 203	−27.2
Sum, rounded to a whole point						−90

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	59,029	2378.6	− 2436	−57.4	× 49 / 188	−15
4	59,030	2390.5	− 2485	−94.5	× 51 / 188	−25.6
5	59,033	2427.5	− 2528	−100.5	× 48 / 188	−25.7
6	59,035	2465.1	− 2552	−86.9	× 40 / 188	−18.5
Sum, rounded to a whole point						−85

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	59,143	2343.9	− 2436	−92.1	× 46 / 188	−22.5
4	59,146	2422.5	− 2485	−62.5	× 48 / 188	−16
5	59,147	2416.6	− 2528	−111.4	× 52 / 188	−30.8
6	59,150	2448.2	− 2552	−103.8	× 42 / 188	−23.2
Sum, rounded to a whole point						−92

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	59,399	2397.7	− 2436	−38.3	× 50 / 203	−9.4
4	59,400	2418.9	− 2485	−66.1	× 43 / 203	−14
5	59,401	2443.9	− 2528	−84.1	× 54 / 203	−22.4
6	59,402	2445.0	− 2552	−107	× 56 / 203	−29.5
Sum, rounded to a whole point						−75

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	59,482	2380.9	− 2436	−55.1	× 27 / 130	−11.4
4	59,483	2364.1	− 2485	−120.9	× 33 / 130	−30.7
5	59,484	2434.3	− 2528	−93.7	× 33 / 130	−23.8
6	59,485	2487.6	− 2552	−64.4	× 37 / 130	−18.3
Sum, rounded to a whole point						−84

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	59,440	2387.2	− 2436	−48.8	× 49 / 158	−15.1
4	59,441	2386.4	− 2485	−98.6	× 38 / 158	−23.7
5	59,442	2428.7	− 2528	−99.3	× 33 / 158	−20.7
6	59,443	2468.4	− 2552	−83.6	× 38 / 158	−20.1
Sum, rounded to a whole point						−80

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	59,371	2350.2	− 2436	−85.8	× 33 / 139	−20.4
4	59,372	2430.0	− 2485	−55	× 38 / 139	−15
5	59,373	2408.9	− 2528	−119.1	× 36 / 139	−30.8
6	59,374	2469.7	− 2552	−82.3	× 32 / 139	−18.9
Sum, rounded to a whole point						−85

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	59,128	2375.2	− 2436	−60.8	× 39 / 153	−15.5
4	59,129	2385.7	− 2485	−99.3	× 34 / 153	−22.1
5	59,130	2468.3	− 2528	−59.7	× 47 / 153	−18.3
6	59,131	2455.9	− 2552	−96.1	× 33 / 153	−20.7
Sum, rounded to a whole point						−77

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	59,051	2376.8	− 2436	−59.2	× 53 / 174	−18
4	59,052	2392.0	− 2485	−93	× 42 / 174	−22.4
5	59,053	2398.6	− 2528	−129.4	× 34 / 174	−25.3
6	59,054	2471.6	− 2552	−80.4	× 45 / 174	−20.8
Sum, rounded to a whole point						−87

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −91, −90, −85, −92, −75, −84, −80, −85, −77, −87 → −84.6
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: 7 · 2018→2019: 17 · 2019→2022: 9 · 2022→2023: 4 · 2023→2024: 5 · 2024→2025: 8 · 2025→2026: 10 → average 7.3
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.3 × 2.66 = 19.4. Upper limit −65.2, lower limit −104.

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.