Analysis of Math Inventory 3.1 Assessment Results in Lincoln County School District

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In partnership with the district, Math Inventory 3.1 data has been analyzed at seven schools in Lincoln County School District. Preliminary observations reveal that out of 561 students evaluated, 91% were in the lower performance levels. Screening efforts show that students have taken the Math Inventory test multiple times, with recommendations for three to five tests per year. District-wide performance levels indicate distribution across different proficiency levels. The report excludes students enrolled in MATH 180.


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  1. Utilization Analysis Lincoln County School District Math Inventory 3.1Assessment Results Based on Assessment Data 08/01/2020 10/30/2020 Academic Planning & Analysis

  2. Executive Summary In partnership with the district, Houghton Mifflin Harcourt has analyzed Math Inventory 3.1 data from test administrations at seven schools. Preliminary Analysis Observations 561 students were evaluated using the Math Inventory 3.1 assessment. 513 (91%) were in the LOSS, Below Basic, or Basic Math Inventory 3.1 performance levels, based on their initial Quantile measures. Analytic Notes Results are aligned to the Math Inventory 3.1 levels found in the Appendix. Quantile measures designated as LOSS (lowest obtainable scale score) and HOSS (highest obtainable scale score) are now being reported. Always consider multiple measures when making intervention placement decisions for individual students. Best practice is to use Math Inventory results together with in-class and other math performance data. The Math Inventory report does not include students enrolled in MATH 180. 2 Academic Planning & Analysis

  3. Screening Efforts How Many Times Have Students Taken the Math Inventory? Math Inventory 3.1 Tests Taken 1859 Number of Students 538 21 2 0 0 No Tests 1 Test 2 Tests 3 Tests 4 Tests 5+ Tests HMH recommends administering the Math Inventory three to five times per year to monitor Quantile growth. Testing at the beginning of the school year provides a baseline for mid-year and end-of-year Gains analyses. Students with No Tests are enrolled in Math Inventory but have not yet taken a test. The Math Inventory report does not include students enrolled in MATH 180. 3 Academic Planning & Analysis

  4. District-wide Performance Levels Totals Based on Students Initial Math Inventory 3.1 Scores 22 4% 1 6 Math Inventory 3.1 Sample 25 4% 0% 1% Math Inventory 3.1 Performance Levels LOSS Below Basic Basic Proficient Advanced HOSS 106 19% 401 72% This shows students Math Inventory 3.1 Performance Levels. The levels are based on students initial scores this year. The Math Inventory report does not include students enrolled in MATH 180. 4 Academic Planning & Analysis

  5. Test Administration

  6. Screening Efforts by Grade How Many Times Have Students Taken the Math Inventory? Number of Students... Total Students 61 100 164 185 120 154 184 202 156 296 343 245 208 With No Tests 61 99 133 111 77 97 78 91 85 283 313 229 200 With 1 Test With 2 Tests With 3 Tests With 4 Tests With 5+ Tests Percent Screened 0% 1% 19% 40% 36% 37% 58% 55% 46% 4% 9% 7% 4% Grade Level Kindergarten Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8 Grade 9 Grade 10 Grade 11 Grade 12 Math Inventory 3.1 District Totals 1 31 73 43 55 97 107 65 13 30 15 8 1 2 9 2 6 2 1 2418 1857 538 21 2 0 0 23% HMH recommends administering the Math Inventory three to five times per year to monitor Quantile growth. Testing at the beginning of the school year provides a baseline for mid-year and end-of- year Gains analyses. The Math Inventory report does not include students enrolled in MATH 180. 6 Academic Planning & Analysis

  7. Screening Efforts by School How Many Times Have Students Taken the Math Inventory? Number of Students... Total Students 275 418 159 1095 92 53 328 With No Tests 135 238 133 1025 52 6 270 With 1 Test 139 160 25 69 40 47 58 With 2 Tests 1 18 1 1 With 3 Tests With 4 Tests With 5+ Tests Percent Screened 51% 43% 16% 6% 43% 89% 18% School Guyan Valley Middle Hamlin Pk-8 Harts Pk-8 Lincoln County High School Midway Elementary School Ranger Elementary West Hamlin Math Inventory 3.1 District Totals 2 2420 1859 538 21 2 0 0 23% HMH recommends administering the Math Inventory three to five times per year to monitor Quantile growth. Testing at the beginning of the school year provides a baseline for mid-year and end-of- year Gains analyses. The Math Inventory report does not include students enrolled in MATH 180. 7 Academic Planning & Analysis

  8. Math Inventory 3.1 Performance Levels Based on students initial Quantile scores this year.

  9. Math Inventory 3.1 Performance Bands by Grade Performance Levels Based on Students Initial Math Inventory 3.1 Scores 1 2 100% 1 4 1 2 3 6 3 14 2 23 8 9 21 80% 12 15 17 60% 1 5 13 26 8 15 90 80 45 40% 50 5 42 23 20% 8 2 4 0% Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8 Grade 9 Grade Grade 11 Grade 12 10 LOSS Below Basic Basic Proficient Advanced HOSS Ranges for the Math Inventory 3.1 Performance Levels can be found in the Appendix. The LOSS (lowest obtainable scale score) designation is for students with the minimum Quantile scores in their respective grade levels. The HOSS (highest obtainable scale score) designation is for students with the maximum Quantile scores in their respective grade levels. The Math Inventory report does not include students enrolled in MATH 180. 9 Academic Planning & Analysis

  10. Math Inventory 3.1 Performance Bands by School Performance Levels Based on Students Initial Math Inventory 3.1 Scores 3 4 1 100% 1 2 3 3 9 1 6 24 5 13 42 16 80% 10 5 60% 64 6 111 19 40% 125 38 29 15 20% 3 1 2 0% Guyan Valley Middle Hamlin Pk-8 Harts Pk-8 Lincoln County High School Midway Elementary School Ranger Elementary West Hamlin LOSS Below Basic Basic Proficient Advanced HOSS Ranges for the Math Inventory 3.1 Performance Levels can be found in the Appendix. The LOSS (lowest obtainable scale score) designation is for students with the minimum Quantile scores in their respective grade levels. The HOSS (highest obtainable scale score) designation is for students with the maximum Quantile scores in their respective grade levels. The Math Inventory report does not include students enrolled in MATH 180. 10 Academic Planning & Analysis

  11. Appendix

  12. Performance Levels for All Grades Readiness Based on Students Initial Math Inventory Scores Below Basic 1 8 42 23 45 90 80 50 13 26 15 8 401 Grade Level LOSS Basic Proficient Advanced HOSS Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8 Grade 9 Grade 10 Grade 11 Grade 12 District Totals 5 17 15 8 14 23 21 5 9 2 3 2 4 12 6 3 1 1 4 2 2 1 6 106 25 22 1 Ranges for the Math Inventory 3.1 Performance Levels can be found in the Appendix. The LOSS (lowest obtainable scale score) designation is for students with the minimum Quantile scores in their respective grade levels. The HOSS (highest obtainable scale score) designation is for students with the maximum Quantile scores in their respective grade levels. The Math Inventory report does not include students enrolled in MATH 180. 12 Academic Planning & Analysis

  13. Performance Levels for All Schools Readiness Based on Students Initial Math Inventory Scores Below Basic 111 125 19 64 15 29 38 401 School LOSS Basic Proficient Advanced HOSS Guyan Valley Middle Hamlin Pk-8 Harts Pk-8 Lincoln County High School Midway Elementary School Ranger Elementary West Hamlin District Totals 2 24 42 5 3 6 10 16 106 3 9 1 4 1 3 5 6 1 13 2 3 22 1 6 25 1 Ranges for the Math Inventory 3.1 Performance Levels can be found in the Appendix. The LOSS (lowest obtainable scale score) designation is for students with the minimum Quantile scores in their respective grade levels. The HOSS (highest obtainable scale score) designation is for students with the maximum Quantile scores in their respective grade levels. The Math Inventory report does not include students enrolled in MATH 180. 13 Academic Planning & Analysis

  14. Math Inventory 3.1 Performance Bands Grade Below Basic Basic Proficient Advanced K EM244Q EM75Q EM74Q 8Q 9Q 175Q 118Q 296Q 1 EM235Q 15Q 16Q 116Q 117Q 232Q 233Q 385Q 2 EM233Q 141Q 142Q 270Q 271Q 382Q 383Q 601Q 3 EM151Q 276Q 277Q 380Q 381Q 545Q 546Q 816Q 4 EM110Q 389Q 390Q 533Q 534Q 629Q 630Q 930Q 5 77Q 539Q 540Q 644Q 645Q 771Q 772Q 1046Q 6 125Q 659Q 660Q 784Q 785Q 890Q 891Q 1139Q 7 393Q 752Q 753Q 880Q 881Q 970Q 971Q 1142Q 8 422Q 845Q 846Q 1000Q 1001Q 1089Q 1090Q 1297Q 9 680Q 977Q 978Q 1132Q 1133Q 1214Q 1215Q 1460Q 10 705Q 1003Q 1004Q 1215Q 1216Q 1248Q 1249Q 1510Q 11 705Q 1003Q 1004Q 1215Q 1216Q 1248Q 1249Q 1510Q 12 705Q 1003Q 1004Q 1215Q 1216Q 1248Q 1249Q 1510Q LOSS HOSS Math Inventory 3.1 includes an improved item bank with new item pools designed for each grade level. Item difficulties are empirical and are calibrated based on the examinee. Items in each level cover one grade up to two grades below the respective grade level. Highest obtainable scale score (HOSS) and lowest obtainable scale score (LOSS) are scores bounded by the easiest and most difficult content standards available within each level test. 14 Academic Planning & Analysis

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