Willard Intermediate: 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 3 bar

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, 144 of the 315 students who took the math test were English learners.

All students

6th The average 6th grader scores just under the grade 3 bar. 2432 vs. 2436. The 6th-grade bar is 2552.
7th The average 7th grader scores 29 points under the grade 3 bar. 2407 vs. 2436. The 7th-grade bar is 2567.
8th The average 8th grader scores 17 points under the grade 3 bar. 2419 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 6th 63 students 23 points under the grade 4 bar. 7th 42 students 10 points under the grade 3 bar. 8th 66 students 25 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 34 students 59 points under the grade 3 bar. 7th 53 students 44 points under the grade 3 bar. 8th 57 students 64 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	51,957	2425.4	− 2552	−126.6	× 281 / 839	−42.4
7	51,958	2420.4	− 2567	−146.6	× 253 / 839	−44.2
8	51,961	2445.8	− 2586	−140.2	× 305 / 839	−51
Sum, rounded to a whole point						−138

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	48,274	2419.2	− 2552	−132.8	× 260 / 813	−42.5
7	48,276	2446.8	− 2567	−120.2	× 289 / 813	−42.7
8	48,277	2439.9	− 2586	−146.1	× 264 / 813	−47.4
Sum, rounded to a whole point						−133

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	49,601	2410.9	− 2552	−141.1	× 234 / 778	−42.4
7	49,604	2434.9	− 2567	−132.1	× 256 / 778	−43.5
8	49,606	2446.9	− 2586	−139.1	× 288 / 778	−51.5
Sum, rounded to a whole point						−137

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	49,615	2399.1	− 2552	−152.9	× 223 / 727	−46.9
7	49,618	2415.5	− 2567	−151.5	× 247 / 727	−51.5
8	49,619	2421.7	− 2586	−164.3	× 257 / 727	−58.1
Sum, rounded to a whole point						−156

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	49,814	2402.8	− 2552	−149.2	× 192 / 657	−43.6
7	49,815	2424.9	− 2567	−142.1	× 222 / 657	−48
8	49,816	2418.9	− 2586	−167.1	× 243 / 657	−61.8
Sum, rounded to a whole point						−153

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	49,732	2409.8	− 2552	−142.2	× 123 / 419	−41.7
7	49,733	2419.3	− 2567	−147.7	× 131 / 419	−46.2
8	49,734	2429.4	− 2586	−156.6	× 165 / 419	−61.7
Sum, rounded to a whole point						−150

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	49,694	2419.1	− 2552	−132.9	× 139 / 444	−41.6
7	49,695	2426.8	− 2567	−140.2	× 138 / 444	−43.6
8	49,696	2404.4	− 2586	−181.6	× 167 / 444	−68.3
Sum, rounded to a whole point						−153

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	49,545	2415.6	− 2552	−136.4	× 128 / 428	−40.8
7	49,546	2428.0	− 2567	−139	× 146 / 428	−47.4
8	49,547	2423.0	− 2586	−163	× 154 / 428	−58.6
Sum, rounded to a whole point						−147

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	49,303	2383.4	− 2552	−168.6	× 93 / 371	−42.3
7	49,304	2424.0	− 2567	−143	× 134 / 371	−51.6
8	49,305	2426.6	− 2586	−159.4	× 144 / 371	−61.9
Sum, rounded to a whole point						−156

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	49,170	2432.3	− 2552	−119.7	× 97 / 315	−36.9
7	49,171	2407.3	− 2567	−159.7	× 95 / 315	−48.2
8	49,172	2419.4	− 2586	−166.6	× 123 / 315	−65.1
Sum, rounded to a whole point						−150

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −138, −133, −137, −156, −153, −150, −153, −147, −156, −150 → −147.3
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: 4 · 2017→2018: 19 · 2018→2019: 3 · 2019→2022: 3 · 2022→2023: 3 · 2023→2024: 6 · 2024→2025: 9 · 2025→2026: 6 → average 6.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 6.4 × 2.66 = 17. Upper limit −130.3, lower limit −164.3.

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.