Imagine Schools, Riverside County: 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.

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, 326 of the 988 students who took the math test were English learners.

All students

3rd The average 3rd grader scores 53 points under the grade 3 bar. 2384 vs. 2436.
4th The average 4th grader scores 46 points under the grade 4 bar. 2439 vs. 2485.
5th The average 5th grader scores 42 points under the grade 4 bar. 2443 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores 24 points under the grade 4 bar. 2461 vs. 2485. The 6th-grade bar is 2552.
7th The average 7th grader scores 24 points under the grade 4 bar. 2461 vs. 2485. The 7th-grade bar is 2567.
8th The average 8th grader scores 23 points under the grade 5 bar. 2505 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 3rd 121 students 36 points under the grade 3 bar. 4th 138 students 33 points under the grade 4 bar. 5th 118 students 23 points under the grade 4 bar. 6th 120 students 43 points under the grade 5 bar. 7th 100 students 40 points under the grade 5 bar. 8th 65 students 11 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 3rd 85 students 76 points under the grade 3 bar. 4th 59 students 27 points under the grade 3 bar. 5th 54 students 34 points under the grade 3 bar. 6th 57 students 26 points under the grade 3 bar. 7th 48 students 31 points under the grade 3 bar. 8th 23 students 15 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.

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,193	2411.4	− 2436	−24.6	× 47 / 47	−24.6
Sum, rounded to a whole point						−25

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	52,650	2396.8	− 2436	−39.2	× 58 / 102	−22.3
4	52,652	2439.7	− 2485	−45.3	× 44 / 102	−19.5
Sum, rounded to a whole point						−42

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	52,721	2396.1	− 2436	−39.9	× 71 / 178	−15.9
4	52,724	2434.0	− 2485	−51	× 57 / 178	−16.3
5	52,725	2457.0	− 2528	−71	× 50 / 178	−19.9
Sum, rounded to a whole point						−52

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	52,903	2421.7	− 2436	−14.3	× 72 / 255	−4
4	52,904	2458.5	− 2485	−26.5	× 75 / 255	−7.8
5	52,905	2460.3	− 2528	−67.7	× 61 / 255	−16.2
6	52,906	2510.9	− 2552	−41.1	× 47 / 255	−7.6
Sum, rounded to a whole point						−36

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,686	2371.1	− 2436	−64.9	× 94 / 442	−13.8
4	51,687	2408.0	− 2485	−77	× 89 / 442	−15.5
5	51,688	2425.2	− 2528	−102.8	× 80 / 442	−18.6
6	51,689	2441.3	− 2552	−110.7	× 73 / 442	−18.3
7	51,690	2450.0	− 2567	−117	× 56 / 442	−14.8
8	51,691	2466.2	− 2586	−119.8	× 50 / 442	−13.6
Sum, rounded to a whole point						−95

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	52,887	2370.2	− 2436	−65.8	× 152 / 538	−18.6
4	52,888	2442.8	− 2485	−42.2	× 96 / 538	−7.5
5	52,889	2437.2	− 2528	−90.8	× 92 / 538	−15.5
6	52,890	2437.6	− 2552	−114.4	× 75 / 538	−15.9
7	52,891	2450.7	− 2567	−116.3	× 75 / 538	−16.2
8	52,892	2472.7	− 2586	−113.3	× 48 / 538	−10.1
Sum, rounded to a whole point						−84

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	52,846	2364.2	− 2436	−71.8	× 178 / 659	−19.4
4	52,847	2410.7	− 2485	−74.3	× 154 / 659	−17.4
5	52,848	2455.3	− 2528	−72.7	× 96 / 659	−10.6
6	52,849	2468.6	− 2552	−83.4	× 84 / 659	−10.6
7	52,850	2442.8	− 2567	−124.2	× 72 / 659	−13.6
8	52,851	2448.8	− 2586	−137.2	× 75 / 659	−15.6
Sum, rounded to a whole point						−87

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	52,680	2386.7	− 2436	−49.3	× 167 / 727	−11.3
4	52,681	2428.5	− 2485	−56.5	× 179 / 727	−13.9
5	52,682	2434.8	− 2528	−93.2	× 149 / 727	−19.1
6	52,683	2463.0	− 2552	−89	× 85 / 727	−10.4
7	52,684	2483.0	− 2567	−84	× 78 / 727	−9
8	52,685	2457.7	− 2586	−128.3	× 69 / 727	−12.2
Sum, rounded to a whole point						−76

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	52,432	2397.0	− 2436	−39	× 193 / 847	−8.9
4	52,433	2435.8	− 2485	−49.2	× 171 / 847	−9.9
5	52,434	2441.8	− 2528	−86.2	× 172 / 847	−17.5
6	52,435	2452.1	− 2552	−99.9	× 154 / 847	−18.2
7	52,436	2496.0	− 2567	−71	× 82 / 847	−6.9
8	52,437	2497.3	− 2586	−88.7	× 75 / 847	−7.9
Sum, rounded to a whole point						−69

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	52,327	2383.5	− 2436	−52.5	× 206 / 988	−10.9
4	52,328	2439.0	− 2485	−46	× 197 / 988	−9.2
5	52,329	2443.3	− 2528	−84.7	× 172 / 988	−14.7
6	52,330	2460.8	− 2552	−91.2	× 177 / 988	−16.3
7	52,331	2461.2	− 2567	−105.8	× 148 / 988	−15.8
8	52,332	2504.6	− 2586	−81.4	× 88 / 988	−7.3
Sum, rounded to a whole point						−74

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −25, −42, −52, −36, −95, −84, −87, −76, −69, −74 → −64
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2016→2017: 17 · 2017→2018: 10 · 2018→2019: 16 · 2019→2021: 59 · 2021→2022: 11 · 2022→2023: 3 · 2023→2024: 11 · 2024→2025: 7 · 2025→2026: 5 → average 15.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 15.4 × 2.66 = 41. Upper limit −23, lower limit −105.

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.