VDOE 2018 Algebra Readiness (AR) Institute

1. VDOE 2018 Algebra Readiness (AR) Institute October 30, 2018 – Fredericksburg October 31, 2018 – Williamsburg November 6, 2018 – Charlottesville November 7, 2018 - Radford VDOE Team: Tina Mazzacane, Mathematics Coordinator Kristin Hope, Mathematics and Special Education Specialist Michael Traylor, Assessment Specialist Algebra Readiness Committee Representatives: Michele Giglio, Henrico County Public Schools Dr. Brendon Albon, Amherst County Public Schools

2. VDOE AR Session Agenda Welcome and Introductions Introduction to Algebra Readiness Initiative Mathematics Vertical Articulation Activity MVAT and AR Resource Showcase Using Student Score Reports and Data – Grade 7 Interpreting Student Score Reports and Data – Grade 6 Dynamic MVAT Tool Application/AR Resources Identification Components of Effective AR Programs Mathematics SOL Practice Items and Desmos Reflection and Closure

3. 1. Introduction to Algebra Readiness Initiative

4. Algebra Readiness Initiative (ARI) Standards of Quality (Sec. 22.1-253.13:1(D)13) Local school divisions shall provide algebra readiness intervention services to students in grades six through nine who are at risk of failing the Algebra I end-of-course test, as demonstrated by their individual performance on any diagnostic test that has been approved by the Department of Education. Local school divisions shall report the results of the diagnostic tests to the Department of Education on an annual basis, at a time to be determined by the Superintendent of Public Instruction. Each student who receives algebra readiness intervention services will be assessed again at the end of that school year. Funds appropriated for prevention, intervention, and remediation; summer school remediation; at-risk; or algebra readiness intervention services may be used to meet the requirements of this subdivision.

5. Data Collection: SOQ Compliance School divisions will use the following criteria when providing Algebra Readiness Initiative (ARI) intervention services to individual students: Determine the student's knowledge and skills of the Mathematics SOL for grades 3 through 8 and Algebra I. Support the following five mathematical process goals for students found in the SOL: 1) Becoming Mathematical Problem Solvers; 2) Communicating Mathematically; 3) Reasoning Mathematically; 4) Making Mathematical Connections; and 5) Making Mathematical Representations.

6. Data Collection: SOQ Compliance Identify mathematics content strengths and challenges, and indicate the level of performance where intervention may be necessary to be successful in each of the following categories: Grades 3 through 8: 1) Number and Number Sense; 2) Computation and Estimation; 3) Measurement and Geometry; 4) Probability and Statistics; and 5) Patterns, Functions, and Algebra  Algebra I 1) Expressions and Operations; 2) Equations and Inequalities; 3) Functions; and 4) Statistics.

7. Virginia ARI Annual Report To receive SOL Algebra Readiness Initiative Payments, the school division certifies that it will: Offer an intervention program to targeted students; Utilize diagnostic methods to assess students at the beginning and at the end of that school year; Submit a report to the Virginia Department of Education by August 1 outlining the methods used for diagnosing individual student mathematics content strengths and challenges, remediation efforts used, the number of students who received ARI services, and the number of students demonstrating improvement during the 2017-2018 school year; and Match these funds based on the composite index of local ability-to-pay.

8. Algebra Readiness Initiative Division Contact Name ___________________ Title ___________________ Email ___________________ Who is designated in your school division?

9. ARI – Two Major Components Provides mathematics intervention resources and services to students in grades six through nine who are at risk of failing the Algebra I end-of-course test. Diagnostic assessment designed to guide instructional decisions for students that may need intervention services Targeted intervention services for students Algebra Readiness Initiative (FAQ) #1

10. Identifying At-Risk Students The school division determines which students should be targeted for diagnostic testing and then subsequently for intervention services.  The identified group may include: students in grades 6-9 at risk of failing the Algebra I end-of-course test; students not successful in previous intervention programs; students who performed below average in their previous year's mathematics program; students identified by teachers through formal and informal assessment; and/or students who did not pass their previous mathematics standards of learning assessment. Algebra Readiness Initiative (FAQ)#2

11. Approved AR Diagnostic Tests Locally-designed or locally selected diagnostic tests must: Assess students’ knowledge and skills of Mathematics SOL in grades 3-8 and Algebra I Support the five mathematics process goals Identify content strengths and challenges, and indicate levels of performance where intervention may be necessary in the mathematics content strands of grades 3-8 and Algebra I Algebra Readiness Initiative (FAQ)#3

12. Using SOL Assessments as Diagnostic Tools School divisions also have the option of using student results from Virginia Mathematics Standards of Learning Assessments as a pre-assessment in conjunction with classroom formative assessments to identify areas of individual student focus for remediation.  The end-of-year grade level or Algebra I Mathematics Standards of Learning Assessment results can then serve as the post-assessment. Algebra Readiness Initiative (FAQ) #3

13. AR Intervention The school division determines and designs the local intervention service model Intervention Program Requirements: The intervention services should provide 2½ hours of instruction per week in addition to regular classroom instruction. The intervention service should be provided on a student/teacher ratio of 10 to 1. A pre- and post-assessment must be administered to students that participate in the intervention program. Algebra Readiness Initiative (FAQ)#4 & 5

14. AR Intervention Intervention Program Requirements (cont.): Local school division determines and designs the local intervention model. Students targeted to participate in the intervention program will include those who did not pass the appropriate diagnostic test. The intervention services can be provided by classroom teachers, paraprofessionals, or part-time tutors who have the appropriate mathematical understanding and pedagogical knowledge to implement an effective remediation program. Algebra Readiness Initiative (FAQ)#5

15. VDOE Website - ARI Local Funding Amounts

16. Budget Template (ARI ) - Excel Sample Only!

17. ARI Funding - Purchases Intervention and remediation services (teachers, paraprofessionals, tutors) Student transportation to/from services Other costs associated with providing intervention services Salary to employ mathematics teacher specialists (effective 2011) ARI funding carryover is not guaranteed. Algebra Readiness Initiative (FAQ) #7 & 8

18. ARI - Using Multiple Data Points Mathematics SOL Assessments Mathematics Diagnostic Assessments Classroom Formative Assessments & Observations Classroom Summative Assessments

19. Mathematics Vertical Articulation Activity

20. Vertical Strand ProgressionSort Activity Patterns, Functions, and Algebra -Equality/Solving Equations Computation and Estimation- Practical Applications – Rational numbers and Proportional Reasoning Number and Number Sense - Rational Numbers – Compare and Order

21. Patterns, Functions, and Algebra Sort Key

22. Computation and Estimation Sort Key

23. Number and Number Sense Sort Key

24. Vertical Strand Progression Activity Debrief Purpose of sort activity Importance of vertical alignment and “mapping back”

25. 3. Mathematics Vertical Articulation Tool (MVAT) Overview

26. Purpose: provides support in identifying concepts aligned to the 2016 Mathematics Standards of Learning (SOL) that articulate across mathematics grade levels or courses Possible Uses: Classroom Instructional Planning Individual Student Remediation Planning Mathematics Vertical Articulation Tool (MVAT)

27. STATIC = Available in Word and PDF Strand Versions (K – Algebra II) Number and Number Sense Computation and Estimation Measurement and Geometry Probability and Statistics Patterns, Functions, and Algebra Comprehensive Version (K – Algebra II) Include all five strands in legal size document Mathematics Vertical Articulation Tool (MVAT) Static Formats

28. DYNAMIC = Customized by inputting student data Dynamic Versions – tested grade levels Grade 3 SOL Dynamic MVAT Grade 4 SOL Dynamic MVAT Algebra I SOL Dynamic MVAT We will review the Dynamic version of MVAT soon! Mathematics Vertical Articulation Tool (MVAT) Dynamic Formats

29. MVAT Strand Versions - Structure Strands (NNS, CE, MG, PS, PFA) Strand Concepts – macro concepts of K – Algebra II content Standard Descriptors – short descriptions of the standards included in each Strand Concept Associated Standards – standard numbers that are aligned to each standard descriptor

30. MVAT – Strand Versions

31. MVAT – Cross-Strand Connections

32. MVAT – Comprehensive VersionK – Algebra II

33. How might the MVAT support instructional planning in your school division? What steps might be needed to support teachers in using these tools? Resources – Turn and Talk

34. 4. VDOE AR Resource Showcase

35. Data Previously Obtained from Algebra Readiness Diagnostic Test (ARDT) Reported student areas of content strength and weakness based on strand Pinpointed SOL focus content from grades 3 – 8 Included strand tests to use during remediation

36. Algebra Readiness Curriculum Companion Targets SOL concepts – grades 5 – 8 Aligned to 2009 SOL Remediation lessons designed for use during ARI Remediation

37. VDOE Remediation Plans Aligned to 2016 Mathematics SOL MVAT helps to identify unfinished learning that will guide the intervention plan. Remediation plans that align with unfinished learning can be used as a resource.

38. VDOE Remediation Plan Structure Remediation Plan Summary Common Errors and Misconceptions Introductory Activity Plan for Instruction Pulling It All Together (Reflection) Ancillary Activities/Handouts

39. VDOE Formative Assessment Items Aligned to 2016 Mathematics SOL Assess proficiency related to unfinished learning after remediation or intervention Primarily Target Grades 5 – Algebra I May be used to target areas where additional remediation may be needed Can be used to drive instructional decisions

40. Sample VDOE AR Resources Remediation Plans: Solving Equations Using Algebra Tiles – SOL 6.13 and 7.12 Solving Two-Step and Multi-Step Equations – SOL 7.12 and 8.17 Formative Assessments: SOL 7.12

41. 5. Student Score Reports and Data

42. Student Score Reports and Data Topics Student Detail by Question Report availability Student performance data contained in the report A closer look at a Student Detail by Question (SDBQ) Report Cautions when using SDBQ data

43. Defining the SDBQ Report Provides a description (item descriptor) of each operational test item, with the SOL identification, level of difficulty, and whether the student’s response was correct or incorrect. Organized by reporting category according to the test blueprint. Provided at the student level by school. SDBQ is the most granular data available from VDOE on SOL assessments.

44. SDBQ Availability On Demand SDBQ • Available for non-writing tests completed online and paper. • Updated immediately upon scoring online test attempts (as long as the test is not alerted). • Available for print as a PDF by individual student or multiple students.

45. SDBQ Availability Published Reports SDBQ • Online and paper test attempts are included. • Scheduled refresh cycle • All students file - weekly by Monday morning until the administration is closed. • All tests completed by 3:00 p.m. the previous Friday. • Available as a PDF at the school level.

46. Test Scaled Score • Performance Level • Reporting Categories • (RC) • RC Scaled Score • H, M, L test item • difficulty • Incorrect/Correct • responses • Item descriptions 2018 Spring SDBQ Report

47. SDBQ Report Header - On Demand Report Student and Test Specific Information Student Name and Report Title Overall Performance Level and Test Scaled Score Test Administration

48. SDBQ Report Header - Published Reports Test Administration Report Title Student Specific Information SDBQ screenshot Test Name, Overall Test Scaled Score, and Performance Level

49. SDBQ Report – Grade 7 Math CAT Legend Reporting Category

50. SDBQ Report – Grade 7 Math CAT Legend Reporting Category Scaled Score