Toro Canyon 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, 287 of the 890 students who took the math test were English learners.

All students

7th The average 7th grader scores 37 points under the grade 4 bar. 2448 vs. 2485. The 7th-grade bar is 2567.
8th The average 8th grader scores just under the grade 3 bar. 2430 vs. 2436. 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 7th 274 students Just under the grade 4 bar. 8th 329 students 27 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 7th 147 students 41 points under the grade 3 bar. 8th 140 students 74 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
7	58,703	2442.4	− 2567	−124.6	× 511 / 1030	−61.8
8	58,705	2463.9	− 2586	−122.1	× 519 / 1030	−61.5
Sum, rounded to a whole point						−123

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	54,466	2449.2	− 2567	−117.8	× 554 / 1065	−61.3
8	54,468	2473.1	− 2586	−112.9	× 511 / 1065	−54.2
Sum, rounded to a whole point						−115

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	56,061	2453.9	− 2567	−113.1	× 534 / 1079	−56
8	56,062	2462.4	− 2586	−123.6	× 545 / 1079	−62.4
Sum, rounded to a whole point						−118

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	56,160	2451.4	− 2567	−115.6	× 541 / 1055	−59.3
8	56,162	2483.5	− 2586	−102.5	× 514 / 1055	−49.9
Sum, rounded to a whole point						−109

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	56,417	2442.8	− 2567	−124.2	× 548 / 1074	−63.4
8	56,418	2471.9	− 2586	−114.1	× 526 / 1074	−55.9
Sum, rounded to a whole point						−119

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	55,160	2456.8	− 2567	−110.2	× 274 / 570	−53
8	55,161	2454.8	− 2586	−131.2	× 296 / 570	−68.1
Sum, rounded to a whole point						−121

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	56,495	2435.1	− 2567	−131.9	× 471 / 948	−65.5
8	56,496	2435.5	− 2586	−150.5	× 477 / 948	−75.7
Sum, rounded to a whole point						−141

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	56,456	2430.0	− 2567	−137	× 446 / 917	−66.6
8	56,457	2427.0	− 2586	−159	× 471 / 917	−81.7
Sum, rounded to a whole point						−148

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	56,340	2412.8	− 2567	−154.2	× 458 / 905	−78
8	56,341	2436.3	− 2586	−149.7	× 447 / 905	−73.9
Sum, rounded to a whole point						−152

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	56,100	2422.1	− 2567	−144.9	× 499 / 958	−75.5
8	56,101	2435.0	− 2586	−151	× 459 / 958	−72.3
Sum, rounded to a whole point						−148

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	56,043	2448.4	− 2567	−118.6	× 421 / 890	−56.1
8	56,044	2429.7	− 2586	−156.3	× 469 / 890	−82.4
Sum, rounded to a whole point						−138

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −123, −115, −118, −109, −119, −121, −141, −148, −152, −148, −138 → −130.2
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 8 · 2016→2017: 3 · 2017→2018: 9 · 2018→2019: 10 · 2019→2021: 2 · 2021→2022: 20 · 2022→2023: 7 · 2023→2024: 4 · 2024→2025: 4 · 2025→2026: 10 → average 7.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.7 × 2.66 = 20.5. Upper limit −109.7, lower limit −150.7.

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.