**Free Reproducibles**

# Mathematics Assessment and Intervention in a PLC at Work®, Second Edition

Develop a research-based math intervention program with common unit assessments. Increase student learning using the MTSS or response to intervention model to guide mathematics assessment.

**Benefits**

- Learn the criteria for the formative use of all unit-by-unit common mathematics assessments
- Identify essential learning standards as drivers for common assessments and student reflection
- Design and use high-quality common assessments and team scoring agreements
- Calibrate the scoring of student work for consistent formative feedback to students
- Engage in data protocols that analyze student work to enhance instructional practices, identify students in need of targeted intervention or extension, and create effective intervention learning experiences
- Determine how students can reflect and set goals using the formative feedback process based on common unit-by-unit assessments
- Design and implement an effective Tier 2 mathematics intervention program to support student learning

## TABLE OF CONTENTS

Introduction

Chapter 1: The Mathematics at Work™ Common Assessment Process

Chapter 2: Quality Common Mathematics Assessments

Chapter 3: Sample Common Mathematics Assessments and Calibration Routines

Chapter 4: Teacher Actions in the Formative Assessment Process

Chapter 5: Student Actions in the Formative Assessment Process

Chapter 6: Team Response to Student Learning Using Tier 2 Mathematics Intervention Criteria

Summary

Appendix

## PRINTABLE REPRODUCIBLES

Introduction

Chapter 1

- Figure 1.1: Teacher Team Discussion Tool—Formative Use of Common Assessments
- Figure 1.2: Teacher Team Rubric—Common Assessment Formative Process
- Figure 1.3: Teacher Team Discussion Tool—Common Assessment Self-Reflection Protocol

Chapter 2

- Figure 2.1: Teacher Team Rubric—Assessment Instrument Quality Evaluation
- Figure 2.2: Teacher Team Discussion Tool—High Quality Assessment Evaluation
- Figure 2.3: Sample Grade 4 Fractions Unit—Essential Learning Standards
- Figure 2.4: Examples of Lower- and Higher-Level-Cognitive-Demand Tasks
- Figure 2.5: Teacher Team Discussion Tool—Sample Assessment Questions for Team Scoring
- Figure 2.6: Teacher Team Discussion Tool—Scoring Assessment Tasks

Chapter 3

- Figure 3.1: Grade 1 Common Mid-Unit Assessment Place Value Sample
- Figure 3.2: Grade 5 Common Mid-Unit Geometry Assessment Sample
- Figure 3.3: Grade 8 Common Mid-Unit Assessment Solving Linear Equations Sample
- Figure 3.4: Kindergarten Counting (One-to-One Correspondence and Cardinality and Written Numbers Common Assessment Sample
- Figure 3.5: Sample Grade 4 Fractions End-of-Unit Assessment
- Figure 3.7: Sample Grade 4 Fractions End-of-Unit Assessment Scoring Guide
- Figure 3.8: Sample Algebra 1 / Integrated Mathematics I End-of-Unit Assessment Scoring Guide
- Figure 3.12: Teacher Team Discussion Tool—Assessment Instrument Alignment and Scoring Agreements
- Figure 3.13: Teacher Team Discussion Tool—Equitable Scoring and Calibration Routine

Chapter 4

- Figure 4.1: Student Work Protocol
- Figure 4.2: Student Work Protocol Instructions
- Figure 4.3: Essential Learning Standard Analysis Protocol—Grade 4 Sample
- Figure 4.4: Essential Learning Standard Analysis Protocol Instructions
- Figure 4.5: Student Reasoning Protocol—Grade 2 Example
- Figure 4.6: Student Reasoning Protocol Instructions

Chapter 5

- Figure 5.7: Grade 3 Student Tracker Self-Assessment and Action Plan
- Figure 5.10: High School Student Tracker—Self-Assessment and Action Plan
- Figure 5.11: Teacher Team Discussion Tool—Collaborative Team Feedback With Student Action

Chapter 6

- Figure 6.2: Teacher Team Discussion Tool—Intervention Practices
- Figure 6.3: Teacher Team Rubric—Tier 2 Mathematics Intervention Program
- Figure 6.5: Teacher Team Discussion Tool—Mathematics Intervention Planning Tool

Appendix

Proficiency Maps

Unit Essential Learning Standards (Figure 2.3 Additional Examples)

- Sample Grade 1 Unit: Using Tens and Ones to Compare, Add, and Subtract—Essential Learning Standards
- Sample Grade 7 Unit: Proportional Reasoning—Essential Learning Standards
- Sample Algebra 1/Integrated Mathematics 1 Unit: Linear Functions—Essential Learning Standards

Example Assessment Questions by Grade (Figure 2.5 Additional Examples)

- Online Grade 1 Assessment Question
- Online Grade 2 Assessment Question
- Online Grade 4 Assessment Question
- Online Grade 5 Assessment Question
- Online Grade 7 Assessment Question
- Online Grade 8 Assessment Question

Scoring Agreements for Online Assessment Questions (Figure 2.7 Additional Examples)

- Example of Task Points or Proficiency Scale Scores for Online Grade 1 Task
- Example of Task Points or Proficiency Scale Scores for Online Grade 2 Task
- Example of Task Points or Proficiency Scale Scores for Online Grade 4 Task
- Example of Task Points or Proficiency Scale Scores for Online Grade 5 Task
- Example of Task Points or Proficiency Scale Scores for Online Grade 7 Task
- Example of Task Points or Proficiency Scale Scores for Online Grade 8 Task

Student Work With Team Scoring for Online Assessment Questions (Figure 2.8 Additional Examples)

- Sample Online Grade 1 Assessment Question With Team Scoring
- Sample Online Grade 2 Assessment Question With Team Scoring
- Sample Online Grade 4 Assessment Question With Team Scoring
- Sample Online Grade 5 Assessment Question With Team Scoring
- Sample Online Grade 7 Assessment Question With Team Scoring
- Sample Online Grade 8 Assessment Question With Team Scoring

Common Mid-Unit Assessments (Figure 3.1 Additional Example)

Common End-of-Unit Assessments With Scoring Agreements and Student Reflections

- Sample Grade 1 End-of-Unit Assessment Using Tens and Ones to Compare, Add, and Subtract
- Sample Grade 7 End-of-Unit Assessment: Proportional Reasoning

## SUGGESTED RESOURCES

BOOKS

- Bailey, K., & Jakicic, C. (2012).
*Common formative assessment: A toolkit for Professional Learning Communities at Work*. Bloomington, IN: Solution Tree Press. - Bailey, K., & Jakicic, C. (2023).
*Common formative assessment: A toolkit for Professional Learning Communities at Work*(2nd ed.). Bloomington, IN: Solution Tree Press. - Brown, T., & Ferriter, W. M. (2021).
*You can learn! Building student ownership, motivation, and efficacy with the PLC at Work process*. Bloomington, IN: Solution Tree Press. - Buffum, A., Mattos, M., & Malone, J. (2018).
*Taking action: A handbook for RTI at Work*. Bloomington, IN: Solution Tree Press. - DuFour, R. (2015).
*In praise of American educators: And how they can become even better*. Bloomington, IN: Solution Tree Press. - DuFour, R., DuFour, R., Eaker, R., & Karhanek, G. (2009).
*Raising the bar and closing the gap: Whatever it takes*. Bloomington, IN: Solution Tree Press. - DuFour, R., DuFour, R., Eaker, R., Many, T. W., & Mattos, M. (2016).
*Learning by doing: A handbook for Professional Learning Communities at Work*(3rd ed.). Bloomington, IN: Solution Tree Press. - DuFour, R., & Marzano, R. J. (2011).
*Leaders of learning: How district, school, and classroom leaders improve student achievement*. Bloomington, IN: Solution Tree Press. - Eaker, R., & Keating, J. (2012).
*Every school, every team, every classroom: District leadership for growing Professional Learning Communities at Work*. Bloomington, IN: Solution Tree Press. - Erkens, C., Schimmer, T., & Dimich, N. (2017).
*Essential assessment: Six tenets for bringing hope, efficacy, and achievement to the classroom*. Bloomington, IN: Solution Tree Press. - Guskey, T. R. (Ed.). (2009).
*The teacher as assessment leader*. Bloomington, IN: Solution Tree Press. - Hansen, A. (2015).
*How to develop PLCs for singletons and small schools*. Bloomington, IN: Solution Tree Press. - Kanold, T. D., Barnes, B., Larson, M. R., Kanold-McIntyre, J., Schuhl, S., & Toncheff, M. (2018).
*Mathematics homework and grading in a PLC at Work*. Bloomington, IN: Solution Tree Press. - Kanold, T. D. (Ed.), Briars, D. J., Asturias, H., Foster, D., & Gale, M. A. (2013).
*Common Core mathematics in a PLC at Work, grades 6–8*. Bloomington, IN: Solution Tree Press. - Kanold, T. D. (Ed.), Dixon, J. K., Adams, T. L., & Nolan, E. C. (2015).
*Beyond the Common Core: A handbook for mathematics in a PLC at Work, grades K–5*. Bloomington, IN: Solution Tree Press. - Kanold, T. D., Kanold-McIntyre, J., Larson, M. R., Barnes, B., Schuhl, S., & Toncheff, M. (2018).
*Mathematics instruction and tasks in a PLC at Work*. Bloomington, IN: Solution Tree Press. - Kanold, T. D. (Ed.), Kanold-McIntyre, J., Larson, M. R., & Briars, D. J. (2015).
*Beyond the Common Core: A handbook for mathematics in a PLC at Work, grades 6–8*. Bloomington, IN: Solution Tree Press. - Kanold, T. D. (Ed.), & Larson, M. R. (2012).
*Common Core mathematics in a PLC at Work, leader’s guide*. Bloomington, IN: Solution Tree Press. - Kanold, T. D. (Ed.), & Larson, M. R. (2015).
*Beyond the Common Core: A handbook for mathematics in a PLC at Work, leader’s guide*. Bloomington, IN: Solution Tree Press. - Kanold, T. D. (Ed.), Larson, M. R., Fennell, F., Adams, T. L., Dixon, J. K., Kobett, B. M., & Wray, J. A. (2012a).
*Common Core mathematics in a PLC at Work, grades K–2*. Bloomington, IN: Solution Tree Press. - Kanold, T. D. (Ed.), Larson, M. R., Fennell, F., Adams, T. L., Dixon, J. K., Kobett, B. M., & Wray, J. A. (2012b).
*Common Core mathematics in a PLC at Work, grades 3–5*. Bloomington, IN: Solution Tree Press. - Kanold, T. D. (Ed.), & Toncheff, M. (2015).
*Beyond the Common Core: A handbook for mathematics in a PLC at Work, high school*. Bloomington, IN: Solution Tree Press. - Kanold, T. D., Toncheff, M., Larson, M. R., Barnes, B., Kanold-McIntyre, J., & Schuhl, S. (2018).
*Mathematics coaching and collaboration in a PLC at Work*. Bloomington, IN: Solution Tree Press. - Kanold, T. D. (Ed.), Zimmermann, G., Carter, J. A., Kanold, T. D., & Toncheff, M. (2012).
*Common Core mathematics in a PLC at Work, high school*. Bloomington, IN: Solution Tree Press. - Kramer, S. V. (2015).
*How to leverage PLCs for school improvement*. Bloomington, IN: Solution Tree Press. - Kramer, S. V., & Schuhl, S. (2017).
*School improvement for all: A how-to-guide for doing the right work*. Bloomington, IN: Solution Tree Press. - Leane, B., & Yost, J. (2022).
*Singletons in a PLC at Work: Navigating on-ramps to meaningful collaboration*. Bloomington, IN: Solution Tree Press. - Mattos, M., DuFour, R., DuFour, R., Eaker, R., & Many, T. W. (2016).
*Concise answers to frequently asked questions about Professional Learning Communities at Work*. Bloomington, IN: Solution Tree Press. - Reeves, D. (2011).
*Elements of grading: A guide to effective practice*. Bloomington, IN: Solution Tree Press. - Reeves, D. (2016).
*Elements of grading: A guide to effective practice*(2nd ed.). Bloomington, IN: Solution Tree Press. - Schimmer, T. (2016).
*Grading from the inside out: Bringing accuracy to student assessment through a standards-based mindset*. Bloomington, IN: Solution Tree Press. - Schuhl, S., Kanold, T. D., Barnes, B., Jain, D. M., Larson, M. R., & Mozingo, B. (2021).
*Mathematics unit planning in a PLC at Work, high school*. Bloomington, IN: Solution Tree Press. - Schuhl, S., Kanold, T. D., Deinhart, J., Lang-Raad, N. D., Larson, M. R., & Smith, N. N. (2021).
*Mathematics unit planning in a PLC at Work, grades preK–2*. Bloomington, IN: Solution Tree Press. - Schuhl, S., Kanold, T. D., Deinhart, J., Larson, M. R., & Toncheff, M. (2020).
*Mathematics unit planning in a PLC at Work, grades 3–5*. Bloomington, IN: Solution Tree Press. - Schuhl, S., Kanold, T. D., Kanold-McIntyre, J., Chuang, S., Larson, M. R., & Smith, M. (2021).
*Mathematics unit planning in a PLC at Work, grades 6–8*. Bloomington, IN: Solution Tree Press. - Toncheff, M., Kanold, T. D., Schuhl, S., Barnes, B., Deinhart, J., Kanold-McIntyre, J., & Larson, M. R. (in press).
*Mathematics instruction and tasks in a PLC at Work*(2nd ed.). Bloomington, IN: Solution Tree Press. - Wiliam, D. (2011).
*Embedded formative assessment*. Bloomington, IN: Solution Tree Press. - Wiliam, D. (2016). The secret of effective feedback.
*Educational Leadership*,*73*(7), 10–15. - Wiliam, D. (2018).
*Embedded formative assessment*(2nd ed.). Bloomington, IN: Solution Tree Press.

WEBSITES