Capitol Collegiate Academy: 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

3rd The average 3rd grader scores 34 points under the grade 3 bar. 2402 vs. 2436.
4th The average 4th grader scores 36 points under the grade 4 bar. 2449 vs. 2485.
5th The average 5th grader scores 44 points under the grade 4 bar. 2441 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores 24 points under the grade 5 bar. 2504 vs. 2528. The 6th-grade bar is 2552.
7th The average 7th grader scores 18 points under the grade 6 bar. 2534 vs. 2552. The 7th-grade bar is 2567.
8th The average 8th grader scores just under the grade 5 bar. 2527 vs. 2528. 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 4th 34 students 30 points under the grade 4 bar. 5th 37 students 42 points under the grade 4 bar. 6th 56 students 12 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 4th 15 students 49 points under the grade 4 bar. 5th 20 students Just under the grade 3 bar. 6th 12 students 36 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	61,370	2434.6	− 2436	−1.4	× 41 / 41	−1.4
Sum, rounded to a whole point						−1

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	56,946	2400.7	− 2436	−35.3	× 41 / 80	−18.1
4	56,947	2473.9	− 2485	−11.1	× 39 / 80	−5.4
Sum, rounded to a whole point						−24

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	58,605	2441.9	− 2436	5.9	× 45 / 114	2.3
4	58,607	2444.2	− 2485	−40.8	× 39 / 114	−14
5	58,608	2453.1	− 2528	−74.9	× 30 / 114	−19.7
Sum, rounded to a whole point						−31

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	58,719	2409.8	− 2436	−26.2	× 49 / 157	−8.2
4	58,721	2461.1	− 2485	−23.9	× 51 / 157	−7.8
5	58,723	2500.0	− 2528	−28	× 34 / 157	−6.1
6	58,725	2526.7	− 2552	−25.3	× 23 / 157	−3.7
Sum, rounded to a whole point						−26

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	58,968	2455.3	− 2436	19.3	× 49 / 193	4.9
4	58,969	2482.9	− 2485	−2.1	× 51 / 193	−0.6
5	58,970	2511.8	− 2528	−16.2	× 48 / 193	−4
6	58,971	2513.0	− 2552	−39	× 28 / 193	−5.7
7	58,972	2566.1	− 2567	−0.9	× 17 / 193	−0.1
Sum, rounded to a whole point						−5

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	57,608	2366.7	− 2436	−69.3	× 57 / 252	−15.7
4	57,609	2482.6	− 2485	−2.4	× 43 / 252	−0.4
5	57,610	2449.9	− 2528	−78.1	× 53 / 252	−16.4
6	57,611	2476.2	− 2552	−75.8	× 40 / 252	−12
7	57,612	2545.3	− 2567	−21.7	× 38 / 252	−3.3
8	57,613	2504.2	− 2586	−81.8	× 21 / 252	−6.8
Sum, rounded to a whole point						−55

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	59,046	2416.5	− 2436	−19.5	× 50 / 291	−3.4
4	59,047	2446.4	− 2485	−38.6	× 61 / 291	−8.1
5	59,048	2520.1	− 2528	−7.9	× 48 / 291	−1.3
6	59,049	2502.5	− 2552	−49.5	× 51 / 291	−8.7
7	59,050	2509.9	− 2567	−57.1	× 42 / 291	−8.2
8	59,051	2625.1	− 2586	39.1	× 39 / 291	5.2
Sum, rounded to a whole point						−24

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	59,002	2399.6	− 2436	−36.4	× 58 / 279	−7.6
4	59,003	2471.9	− 2485	−13.1	× 48 / 279	−2.3
5	59,004	2492.2	− 2528	−35.8	× 51 / 279	−6.5
6	59,005	2562.9	− 2552	10.9	× 45 / 279	1.8
7	59,006	2506.2	− 2567	−60.8	× 42 / 279	−9.2
8	59,007	2552.2	− 2586	−33.8	× 35 / 279	−4.2
Sum, rounded to a whole point						−28

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	58,931	2381.7	− 2436	−54.3	× 48 / 294	−8.9
4	58,932	2448.6	− 2485	−36.4	× 61 / 294	−7.6
5	58,933	2476.7	− 2528	−51.3	× 43 / 294	−7.5
6	58,934	2511.1	− 2552	−40.9	× 55 / 294	−7.7
7	58,935	2544.0	− 2567	−23	× 47 / 294	−3.7
8	58,936	2532.9	− 2586	−53.1	× 40 / 294	−7.2
Sum, rounded to a whole point						−42

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	58,686	2404.5	− 2436	−31.5	× 48 / 327	−4.6
4	58,687	2427.2	− 2485	−57.8	× 56 / 327	−9.9
5	58,688	2482.5	− 2528	−45.5	× 75 / 327	−10.4
6	58,689	2507.9	− 2552	−44.1	× 49 / 327	−6.6
7	58,690	2512.4	− 2567	−54.6	× 51 / 327	−8.5
8	58,691	2555.0	− 2586	−31	× 48 / 327	−4.6
Sum, rounded to a whole point						−45

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	58,613	2402.1	− 2436	−33.9	× 42 / 308	−4.6
4	58,614	2449.1	− 2485	−35.9	× 49 / 308	−5.7
5	58,615	2440.6	− 2528	−87.4	× 57 / 308	−16.2
6	58,616	2504.1	− 2552	−47.9	× 68 / 308	−10.6
7	58,617	2534.4	− 2567	−32.6	× 47 / 308	−5
8	58,618	2527.0	− 2586	−59	× 45 / 308	−8.6
Sum, rounded to a whole point						−51

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −1, −24, −31, −26, −5, −55, −24, −28, −42, −45, −51 → −30.2
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 23 · 2016→2017: 7 · 2017→2018: 5 · 2018→2019: 21 · 2019→2021: 50 · 2021→2022: 31 · 2022→2023: 4 · 2023→2024: 14 · 2024→2025: 3 · 2025→2026: 6 → average 16.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 16.4 × 2.66 = 43.6. Upper limit 13.4, lower limit −73.8.

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.