Heritage Elementary: 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 6.

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, 104 of the 194 students who took the math test were English learners.

All students

3rd The average 3rd grader scores 34 points under the grade 3 bar. 2402 vs. 2436.
4th The average 4th grader scores 26 points under the grade 3 bar. 2410 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 11 points under the grade 3 bar. 2425 vs. 2436. The 5th-grade bar is 2528.
6th The average 6th grader scores 22 points under the grade 5 bar. 2506 vs. 2528. The 6th-grade bar is 2552.

Students fluent in English

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

Grade bars 3rd 20 students Meets the grade 3 bar. 4th 25 students 36 points under the grade 4 bar. 5th 17 students 13 points under the grade 4 bar. 6th 28 students 20 points under the grade 6 bar.

English learners

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

Grade bars 3rd 26 students 67 points under the grade 3 bar. 4th 31 students 59 points under the grade 3 bar. 5th 25 students 43 points under the grade 3 bar. 6th 22 students 13 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	79,491	2380.7	− 2436	−55.3	× 101 / 303	−18.4
4	79,492	2417.4	− 2485	−67.6	× 73 / 303	−16.3
5	79,495	2480.7	− 2528	−47.3	× 72 / 303	−11.2
6	79,496	2487.9	− 2552	−64.1	× 57 / 303	−12.1
Sum, rounded to a whole point						−58

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	73,672	2409.6	− 2436	−26.4	× 72 / 301	−6.3
4	73,674	2441.2	− 2485	−43.8	× 89 / 301	−13
5	73,677	2460.8	− 2528	−67.2	× 67 / 301	−15
6	73,678	2506.6	− 2552	−45.4	× 73 / 301	−11
Sum, rounded to a whole point						−45

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	75,650	2378.9	− 2436	−57.1	× 70 / 284	−14.1
4	75,651	2447.4	− 2485	−37.6	× 67 / 284	−8.9
5	75,653	2485.4	− 2528	−42.6	× 87 / 284	−13.1
6	75,655	2467.1	− 2552	−84.9	× 60 / 284	−17.9
Sum, rounded to a whole point						−54

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	75,837	2427.2	− 2436	−8.8	× 71 / 294	−2.1
4	75,838	2440.0	− 2485	−45	× 63 / 294	−9.6
5	75,841	2464.6	− 2528	−63.4	× 71 / 294	−15.3
6	75,842	2496.8	− 2552	−55.2	× 89 / 294	−16.7
Sum, rounded to a whole point						−44

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,359	2429.2	− 2436	−6.8	× 70 / 270	−1.8
4	76,360	2462.8	− 2485	−22.2	× 70 / 270	−5.8
5	76,361	2464.6	− 2528	−63.4	× 59 / 270	−13.9
6	76,362	2512.0	− 2552	−40	× 71 / 270	−10.5
Sum, rounded to a whole point						−32

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	74,936	2341.9	− 2436	−94.1	× 75 / 289	−24.4
4	74,937	2367.9	− 2485	−117.1	× 78 / 289	−31.6
5	74,938	2423.4	− 2528	−104.6	× 79 / 289	−28.6
6	74,939	2468.5	− 2552	−83.5	× 57 / 289	−16.5
Sum, rounded to a whole point						−101

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,527	2389.4	− 2436	−46.6	× 59 / 304	−9
4	76,528	2413.6	− 2485	−71.4	× 78 / 304	−18.3
5	76,529	2430.8	− 2528	−97.2	× 82 / 304	−26.2
6	76,530	2493.9	− 2552	−58.1	× 85 / 304	−16.2
Sum, rounded to a whole point						−70

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,511	2406.6	− 2436	−29.4	× 48 / 260	−5.4
4	76,512	2403.5	− 2485	−81.5	× 52 / 260	−16.3
5	76,513	2436.0	− 2528	−92	× 81 / 260	−28.7
6	76,514	2505.9	− 2552	−46.1	× 79 / 260	−14
Sum, rounded to a whole point						−64

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,496	2417.5	− 2436	−18.5	× 68 / 242	−5.2
4	76,497	2407.0	− 2485	−78	× 54 / 242	−17.4
5	76,498	2403.7	− 2528	−124.3	× 50 / 242	−25.7
6	76,499	2497.5	− 2552	−54.5	× 70 / 242	−15.8
Sum, rounded to a whole point						−64

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,159	2388.6	− 2436	−47.4	× 62 / 237	−12.4
4	76,160	2407.6	− 2485	−77.4	× 58 / 237	−18.9
5	76,161	2413.0	− 2528	−115	× 57 / 237	−27.7
6	76,162	2458.3	− 2552	−93.7	× 60 / 237	−23.7
Sum, rounded to a whole point						−83

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,069	2401.6	− 2436	−34.4	× 46 / 194	−8.2
4	76,070	2409.6	− 2485	−75.4	× 56 / 194	−21.8
5	76,071	2425.1	− 2528	−102.9	× 42 / 194	−22.3
6	76,072	2505.8	− 2552	−46.2	× 50 / 194	−11.9
Sum, rounded to a whole point						−64

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −58, −45, −54, −44, −32, −101, −70, −64, −64, −83, −64 → −61.7
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: 9 · 2017→2018: 10 · 2018→2019: 12 · 2019→2021: 69 · 2021→2022: 31 · 2022→2023: 6 · 2023→2024: 0 · 2024→2025: 19 · 2025→2026: 19 → average 18.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 18.8 × 2.66 = 50. Upper limit −11.7, lower limit −111.7.

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.