Farnham Charter: 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 5.

All students

3rd The average 3rd grader meets the grade 3 bar. 2449 vs. 2436.
4th The average 4th grader meets the grade 4 bar. 2498 vs. 2485.
5th The average 5th grader scores 28 points under the grade 5 bar. 2501 vs. 2528.

Students fluent in English

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

Grade bars 5th 45 students 11 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 5th 14 students 39 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	86,367	2431.5	− 2436	−4.5	× 91 / 272	−1.5
4	86,369	2494.5	− 2485	9.5	× 100 / 272	3.5
5	86,371	2515.7	− 2528	−12.3	× 81 / 272	−3.7
Sum, rounded to a whole point						−2

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,160	2450.7	− 2436	14.7	× 90 / 282	4.7
4	80,162	2477.1	− 2485	−7.9	× 90 / 282	−2.5
5	80,164	2531.5	− 2528	3.5	× 102 / 282	1.3
Sum, rounded to a whole point						3

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,368	2456.1	− 2436	20.1	× 99 / 261	7.6
4	82,369	2507.1	− 2485	22.1	× 80 / 261	6.8
5	82,371	2502.2	− 2528	−25.8	× 82 / 261	−8.1
Sum, rounded to a whole point						6

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,573	2457.6	− 2436	21.6	× 74 / 249	6.4
4	82,574	2511.7	− 2485	26.7	× 100 / 249	10.7
5	82,577	2543.5	− 2528	15.5	× 75 / 249	4.7
Sum, rounded to a whole point						22

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	83,191	2453.3	− 2436	17.3	× 82 / 248	5.7
4	83,192	2502.2	− 2485	17.2	× 69 / 248	4.8
5	83,193	2542.2	− 2528	14.2	× 97 / 248	5.6
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
3	83,386	2456.4	− 2436	20.4	× 73 / 200	7.4
4	83,387	2514.1	− 2485	29.1	× 54 / 200	7.9
5	83,388	2527.5	− 2528	−0.5	× 73 / 200	−0.2
Sum, rounded to a whole point						15

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	83,341	2464.3	− 2436	28.3	× 68 / 192	10
4	83,342	2527.2	− 2485	42.2	× 64 / 192	14.1
5	83,343	2544.0	− 2528	16	× 60 / 192	5
Sum, rounded to a whole point						29

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	83,352	2421.6	− 2436	−14.4	× 60 / 186	−4.6
4	83,353	2508.0	− 2485	23	× 64 / 186	7.9
5	83,354	2539.1	− 2528	11.1	× 62 / 186	3.7
Sum, rounded to a whole point						7

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	83,032	2436.4	− 2436	0.4	× 51 / 177	0.1
4	83,033	2490.6	− 2485	5.6	× 61 / 177	1.9
5	83,034	2532.4	− 2528	4.4	× 65 / 177	1.6
Sum, rounded to a whole point						4

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	82,841	2448.6	− 2436	12.6	× 45 / 159	3.6
4	82,842	2497.9	− 2485	12.9	× 55 / 159	4.5
5	82,843	2500.5	− 2528	−27.5	× 59 / 159	−10.2
Sum, rounded to a whole point						−2

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −2, 3, 6, 22, 16, 15, 29, 7, 4, −2 → 9.8
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 5 · 2016→2017: 3 · 2017→2018: 16 · 2018→2019: 6 · 2019→2022: 1 · 2022→2023: 14 · 2023→2024: 22 · 2024→2025: 3 · 2025→2026: 6 → average 8.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8.4 × 2.66 = 22.3. Upper limit 32.1, lower limit −12.5.

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.