Newcastle Charter: 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.

3rd The average 3rd grader meets the grade 3 bar. 2469 vs. 2436.
4th The average 4th grader meets the grade 4 bar. 2503 vs. 2485.
5th The average 5th grader meets the grade 5 bar. 2587 vs. 2528.
6th The average 6th grader meets the grade 6 bar. 2584 vs. 2552.
7th The average 7th grader meets the grade 7 bar. 2600 vs. 2567.
8th The average 8th grader meets the grade 8 bar. 2637 vs. 2586.

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
3	54,053	2499.0	− 2436	63	× 23 / 149	9.7
4	54,054	2493.5	− 2485	8.5	× 21 / 149	1.2
5	54,057	2530.2	− 2528	2.2	× 20 / 149	0.3
6	54,058	2536.8	− 2552	−15.2	× 38 / 149	−3.9
7	54,061	2587.4	− 2567	20.4	× 18 / 149	2.5
8	54,062	2604.3	− 2586	18.3	× 29 / 149	3.6
Sum, rounded to a whole point						13

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	50,222	2446.7	− 2436	10.7	× 25 / 159	1.7
4	50,223	2505.0	− 2485	20	× 23 / 159	2.9
5	50,225	2556.7	− 2528	28.7	× 27 / 159	4.9
6	50,227	2564.8	− 2552	12.8	× 29 / 159	2.3
7	50,230	2575.9	− 2567	8.9	× 35 / 159	2
8	50,231	2608.9	− 2586	22.9	× 20 / 159	2.9
Sum, rounded to a whole point						17

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,643	2456.4	− 2436	20.4	× 33 / 183	3.7
4	51,645	2466.6	− 2485	−18.4	× 28 / 183	−2.8
5	51,648	2517.5	− 2528	−10.5	× 25 / 183	−1.4
6	51,650	2556.2	− 2552	4.2	× 29 / 183	0.7
7	51,652	2612.4	− 2567	45.4	× 31 / 183	7.7
8	51,654	2572.3	− 2586	−13.7	× 37 / 183	−2.8
Sum, rounded to a whole point						5

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,673	2463.3	− 2436	27.3	× 30 / 185	4.4
4	51,676	2471.9	− 2485	−13.1	× 41 / 185	−2.9
5	51,677	2495.6	− 2528	−32.4	× 27 / 185	−4.7
6	51,679	2544.2	− 2552	−7.8	× 31 / 185	−1.3
7	51,682	2604.4	− 2567	37.4	× 27 / 185	5.5
8	51,683	2623.9	− 2586	37.9	× 29 / 185	5.9
Sum, rounded to a whole point						7

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,871	2454.9	− 2436	18.9	× 33 / 185	3.4
4	51,872	2483.8	− 2485	−1.2	× 31 / 185	−0.2
5	51,873	2525.0	− 2528	−3	× 38 / 185	−0.6
6	51,874	2532.0	− 2552	−20	× 27 / 185	−2.9
7	51,875	2602.0	− 2567	35	× 26 / 185	4.9
8	51,876	2590.0	− 2586	4	× 30 / 185	0.6
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	50,624	2472.5	− 2436	36.5	× 26 / 155	6.1
4	50,625	2510.9	− 2485	25.9	× 30 / 155	5
5	50,626	2526.5	− 2528	−1.5	× 31 / 155	−0.3
6	50,627	2531.9	− 2552	−20.1	× 27 / 155	−3.5
7	50,628	2588.9	− 2567	21.9	× 21 / 155	3
8	50,629	2597.3	− 2586	11.3	× 20 / 155	1.5
Sum, rounded to a whole point						12

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,797	2436.1	− 2436	0.1	× 29 / 177	0
4	51,798	2500.9	− 2485	15.9	× 29 / 177	2.6
5	51,799	2517.5	− 2528	−10.5	× 31 / 177	−1.8
6	51,800	2548.8	− 2552	−3.2	× 30 / 177	−0.5
7	51,801	2560.5	− 2567	−6.5	× 32 / 177	−1.2
8	51,802	2609.8	− 2586	23.8	× 26 / 177	3.5
Sum, rounded to a whole point						3

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,764	2460.5	− 2436	24.5	× 37 / 216	4.2
4	51,765	2498.3	− 2485	13.3	× 43 / 216	2.6
5	51,766	2541.2	− 2528	13.2	× 38 / 216	2.3
6	51,767	2569.1	− 2552	17.1	× 42 / 216	3.3
7	51,768	2555.8	− 2567	−11.2	× 29 / 216	−1.5
8	51,769	2615.4	− 2586	29.4	× 27 / 216	3.7
Sum, rounded to a whole point						15

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,582	2476.3	− 2436	40.3	× 27 / 223	4.9
4	51,583	2497.3	− 2485	12.3	× 37 / 223	2
5	51,584	2524.1	− 2528	−3.9	× 39 / 223	−0.7
6	51,585	2554.1	− 2552	2.1	× 41 / 223	0.4
7	51,586	2583.0	− 2567	16	× 43 / 223	3.1
8	51,587	2603.6	− 2586	17.6	× 36 / 223	2.8
Sum, rounded to a whole point						13

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,364	2474.3	− 2436	38.3	× 39 / 232	6.4
4	51,365	2540.8	− 2485	55.8	× 29 / 232	7
5	51,366	2544.6	− 2528	16.6	× 41 / 232	2.9
6	51,367	2515.8	− 2552	−36.2	× 40 / 232	−6.2
7	51,368	2609.0	− 2567	42	× 42 / 232	7.6
8	51,369	2599.5	− 2586	13.5	× 41 / 232	2.4
Sum, rounded to a whole point						20

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,243	2468.8	− 2436	32.8	× 29 / 224	4.2
4	51,244	2502.5	− 2485	17.5	× 40 / 224	3.1
5	51,245	2586.5	− 2528	58.5	× 34 / 224	8.9
6	51,246	2583.5	− 2552	31.5	× 38 / 224	5.3
7	51,247	2600.3	− 2567	33.3	× 42 / 224	6.2
8	51,248	2637.0	− 2586	51	× 41 / 224	9.3
Sum, rounded to a whole point						37

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 13, 17, 5, 7, 5, 12, 3, 15, 13, 20, 37 → 13.4
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 4 · 2016→2017: 12 · 2017→2018: 2 · 2018→2019: 2 · 2019→2021: 7 · 2021→2022: 9 · 2022→2023: 12 · 2023→2024: 2 · 2024→2025: 7 · 2025→2026: 17 → average 7.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.4 × 2.66 = 19.7. Upper limit 33.1, lower limit −6.3.

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.