Firebaugh 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.

All students

6th The average 6th grader scores just under the grade 3 bar. 2428 vs. 2436. The 6th-grade bar is 2552.
7th The average 7th grader scores just under the grade 3 bar. 2432 vs. 2436. The 7th-grade bar is 2567.
8th The average 8th grader scores 23 points under the grade 4 bar. 2462 vs. 2485. 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 129 students 34 points under the grade 4 bar. 7th 125 students 25 points under the grade 4 bar. 8th 130 students 11 points under the grade 4 bar.

English learners

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

Grade bars 6th 42 students 76 points under the grade 3 bar. 7th 38 students 97 points under the grade 3 bar. 8th 30 students 29 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	12,295	2436.2	− 2552	−115.8	× 160 / 474	−39.1
7	12,297	2456.0	− 2567	−111	× 157 / 474	−36.8
8	12,299	2486.7	− 2586	−99.3	× 157 / 474	−32.9
Sum, rounded to a whole point						−109

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	11,324	2453.0	− 2552	−99	× 185 / 505	−36.3
7	11,327	2465.8	− 2567	−101.2	× 161 / 505	−32.3
8	11,328	2498.9	− 2586	−87.1	× 159 / 505	−27.4
Sum, rounded to a whole point						−96

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	11,648	2457.3	− 2552	−94.7	× 143 / 494	−27.4
7	11,650	2477.8	− 2567	−89.2	× 186 / 494	−33.6
8	11,652	2518.5	− 2586	−67.5	× 165 / 494	−22.5
Sum, rounded to a whole point						−84

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	11,680	2478.9	− 2552	−73.1	× 162 / 486	−24.4
7	11,682	2508.0	− 2567	−59	× 140 / 486	−17
8	11,684	2525.4	− 2586	−60.6	× 184 / 486	−22.9
Sum, rounded to a whole point						−64

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	11,772	2475.9	− 2552	−76.1	× 162 / 467	−26.4
7	11,773	2512.7	− 2567	−54.3	× 165 / 467	−19.2
8	11,774	2566.1	− 2586	−19.9	× 140 / 467	−6
Sum, rounded to a whole point						−52

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	11,598	2440.3	− 2552	−111.7	× 151 / 500	−33.7
7	11,599	2464.1	− 2567	−102.9	× 191 / 500	−39.3
8	11,600	2455.9	− 2586	−130.1	× 158 / 500	−41.1
Sum, rounded to a whole point						−114

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	11,747	2444.5	− 2552	−107.5	× 181 / 518	−37.6
7	11,748	2470.7	− 2567	−96.3	× 148 / 518	−27.5
8	11,749	2474.2	− 2586	−111.8	× 189 / 518	−40.8
Sum, rounded to a whole point						−106

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	11,732	2437.1	− 2552	−114.9	× 174 / 499	−40.1
7	11,733	2464.4	− 2567	−102.6	× 176 / 499	−36.2
8	11,734	2486.3	− 2586	−99.7	× 149 / 499	−29.8
Sum, rounded to a whole point						−106

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	11,689	2435.1	− 2552	−116.9	× 155 / 507	−35.7
7	11,690	2460.6	− 2567	−106.4	× 177 / 507	−37.1
8	11,691	2476.4	− 2586	−109.6	× 175 / 507	−37.8
Sum, rounded to a whole point						−111

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	11,628	2424.3	− 2552	−127.7	× 159 / 486	−41.8
7	11,629	2460.3	− 2567	−106.7	× 153 / 486	−33.6
8	11,630	2499.1	− 2586	−86.9	× 174 / 486	−31.1
Sum, rounded to a whole point						−106

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	11,652	2428.3	− 2552	−123.7	× 171 / 494	−42.8
7	11,653	2431.7	− 2567	−135.3	× 163 / 494	−44.6
8	11,654	2461.6	− 2586	−124.4	× 160 / 494	−40.3
Sum, rounded to a whole point						−128

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −109, −96, −84, −64, −52, −114, −106, −106, −111, −106, −128 → −97.8
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 13 · 2016→2017: 12 · 2017→2018: 20 · 2018→2019: 12 · 2019→2021: 62 · 2021→2022: 8 · 2022→2023: 0 · 2023→2024: 5 · 2024→2025: 5 · 2025→2026: 22 → average 15.9
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 15.9 × 2.66 = 42.3. Upper limit −55.5, lower limit −140.1.

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.