Hayward Twin Oaks Montessori: 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 11.

3rd The average 3rd grader scores 27 points under the grade 3 bar. 2409 vs. 2436.
4th The average 4th grader scores 32 points under the grade 4 bar. 2453 vs. 2485.
5th The average 5th grader scores 41 points under the grade 5 bar. 2487 vs. 2528.
6th The average 6th grader scores 41 points under the grade 5 bar. 2487 vs. 2528. The 6th-grade bar is 2552.
7th The average 7th grader scores 15 points under the grade 4 bar. 2470 vs. 2485. The 7th-grade bar is 2567.
8th The average 8th grader scores 25 points under the grade 5 bar. 2503 vs. 2528. The 8th-grade bar is 2586.
11th The average 11th grader scores 15 points under the grade 5 bar. 2513 vs. 2528. The 11th-grade bar is 2628.

2026 results. "Meets standard" is the state's mark for being on track for that grade.

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
11	1,369	2528.8	− 2628	−99.2	× 13 / 13	−99.2
Sum, rounded to a whole point						−99

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	1,176	2469.6	− 2628	−158.4	× 43 / 43	−158.4
Sum, rounded to a whole point						−158

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	1,205	2545.5	− 2628	−82.5	× 34 / 34	−82.5
Sum, rounded to a whole point						−83

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	1,230	2543.3	− 2628	−84.7	× 37 / 37	−84.7
Sum, rounded to a whole point						−85

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	1,248	2543.6	− 2628	−84.4	× 40 / 40	−84.4
Sum, rounded to a whole point						−84

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,230	2440.9	− 2436	4.9	× 46 / 248	0.9
4	1,231	2478.2	− 2485	−6.8	× 39 / 248	−1.1
5	1,232	2467.7	− 2528	−60.3	× 35 / 248	−8.5
6	1,233	2482.1	− 2552	−69.9	× 37 / 248	−10.4
7	1,234	2509.7	− 2567	−57.3	× 27 / 248	−6.2
8	1,235	2478.1	− 2586	−107.9	× 26 / 248	−11.3
11	1,236	2471.1	− 2628	−156.9	× 38 / 248	−24
Sum, rounded to a whole point						−61

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,240	2393.6	− 2436	−42.4	× 42 / 305	−5.8
4	1,241	2448.8	− 2485	−36.2	× 45 / 305	−5.3
5	1,242	2470.5	− 2528	−57.5	× 46 / 305	−8.7
6	1,243	2481.8	− 2552	−70.2	× 39 / 305	−9
7	1,244	2490.1	− 2567	−76.9	× 53 / 305	−13.4
8	1,245	2497.6	− 2586	−88.4	× 29 / 305	−8.4
11	1,246	2478.5	− 2628	−149.5	× 51 / 305	−25
Sum, rounded to a whole point						−76

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,208	2403.5	− 2436	−32.5	× 51 / 357	−4.6
4	1,209	2428.9	− 2485	−56.1	× 52 / 357	−8.2
5	1,210	2484.3	− 2528	−43.7	× 52 / 357	−6.4
6	1,211	2515.6	− 2552	−36.4	× 43 / 357	−4.4
7	1,212	2495.5	− 2567	−71.5	× 47 / 357	−9.4
8	1,213	2452.4	− 2586	−133.6	× 67 / 357	−25.1
11	1,214	2499.2	− 2628	−128.8	× 45 / 357	−16.2
Sum, rounded to a whole point						−74

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,200	2417.9	− 2436	−18.1	× 54 / 357	−2.7
4	1,201	2443.3	− 2485	−41.7	× 48 / 357	−5.6
5	1,202	2453.7	− 2528	−74.3	× 45 / 357	−9.4
6	1,203	2519.4	− 2552	−32.6	× 45 / 357	−4.1
7	1,204	2501.5	− 2567	−65.5	× 63 / 357	−11.6
8	1,205	2526.6	− 2586	−59.4	× 60 / 357	−10
11	1,206	2472.9	− 2628	−155.1	× 42 / 357	−18.2
Sum, rounded to a whole point						−62

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	1,196	2409.1	− 2436	−26.9	× 55 / 321	−4.6
4	1,197	2453.4	− 2485	−31.6	× 48 / 321	−4.7
5	1,198	2486.7	− 2528	−41.3	× 46 / 321	−5.9
6	1,199	2486.8	− 2552	−65.2	× 35 / 321	−7.1
7	1,200	2470.2	− 2567	−96.8	× 48 / 321	−14.5
8	1,201	2503.2	− 2586	−82.8	× 55 / 321	−14.2
11	1,202	2513.3	− 2628	−114.7	× 34 / 321	−12.1
Sum, rounded to a whole point						−63

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −99, −158, −83, −85, −84, −61, −76, −74, −62, −63 → −84.5
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 59 · 2016→2017: 75 · 2017→2018: 2 · 2018→2019: 1 · 2019→2022: 23 · 2022→2023: 15 · 2023→2024: 2 · 2024→2025: 12 · 2025→2026: 1 → average 21.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 21.1 × 2.66 = 56.1. Upper limit −28.4, lower limit −140.6.

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.