Wisconsin Standards for Mathematics

1 Wisconsin Department of Public InstructionWISCONSIN Standards FOR MathematicsWisconsin Department of Public Instruction Wisconsin Standards FOR Mathematics Wisconsin Department of Public Instruction Carolyn Stanford Taylor, State Superintendent Madison, Wisconsin Wisconsin Standards for Mathematics ii This publication is available from: Wisconsin Department of Public Instruction 125 South Webster Street Madison, WI 53703 (608) 266-8960 May 2021 Wisconsin Department of Public Instruction The Wisconsin Department of Public Instruction does not discriminate on the basis of sex, race, color, religion, creed, age, national origin, ancestry, pregnancy, marital status or parental status, sexual orientation, or ability and provides equal access to the Boy Scouts of America and other designated youth groups.

2 Wisconsin Standards for Mathematics iii Table of Contents Foreword .. v Acknowledgements .. vi Section I: Wisconsin s Approach to Academic Standards .. 1 Purpose of the Document .. 2 What Are Academic Standards ? .. 3 Relating the Academic Standards to All Students .. 4 Ensuring a Process for Student Success .. 5 Section II: Wisconsin Standards for Mathematics .. 7 What is Mathematics Education? .. 8 Wisconsin s Approach to Academic Standards for Mathematics .. 10 Content Standards Structure .. 13 Section III: Standards .. 17 Standards for Mathematical Practice: Kindergarten - High School.

3 21 Standards for Mathematical Practice: Kindergarten - Grade 5 .. 24 Introduction and Content Standards Kindergarten .. 29 Grade 1 .. 37 Grade 2 .. 46 Grade 3 .. 55 Grade 4 .. 68 Grade 5 .. 80 Standards for Mathematical Practice: Grades 6-8 .. 92 Introduction and Content Standards Grade 6 .. 97 Grade 7 .. 109 Wisconsin Standards for Mathematics iv Grade 8 .. 119 High School Standards Introduction .. 129 Standards for Mathematical Practice: High 131 Introduction and Content Standards Modeling.

4 135 Number and Quantity .. 138 Algebra .. 148 Functions .. 159 Geometry .. 168 Statistics and Probability .. 180 References .. 191 Appendix I: Tables .. 195 Appendix 2: Glossary .. 205 Appendix 3: Wisconsin s Shifts in Mathematics .. 211 Appendix 4: Mathematical Modeling .. 219 Wisconsin Standards for Mathematics v Foreword n May 10, 2021, I formally adopted the Wisconsin Standards for Mathematics . This revised set of academic Standards provides a foundational framework identifying the knowledge and skills in Mathematics Wisconsin students should learn at different grade levels or bands of grades.

5 The Standards are a result of a concerted effort led by Wisconsin educators and stakeholders who shared their expertise in Mathematics and teaching from kindergarten through higher education. Feedback was provided by the public and the Wisconsin Legislature for the writing committee to consider as part of Wisconsin s process for reviewing and revising academic Standards . Mathematics is an essential part of a comprehensive PK-12 education for all students. Wisconsin students learn to use Mathematics to understand and empower themselves and their worlds. The knowledge, skills, and habits of mind gained through Mathematics education in Wisconsin schools support the Wisconsin Department of Public instruction s vision of helping all students graduate college and career ready.

6 Wisconsin s 2021 Standards for Mathematics focus on ensuring every student has the ability to develop deep mathematical understanding as a confident and capable learner. To develop deep mathematical understanding, positive mathematical identity, as well as strong mathematical agency, students need instruction that recognizes the broader purpose of Mathematics . To this end, the Wisconsin Standards for Mathematics result in the following: a. Wisconsin s students will develop deep Mathematics understanding, so that they may experience joy and confidence in themselves as mathematicians.

7 B. Wisconsin s students will develop as mathematicians through both mathematical practices and content. c. Wisconsin s students will be flexible users of Mathematics as they use Mathematics to understand the world and question and critique the world using mathematical justifications. d. Wisconsin s students will have expanded professional opportunities in a wide variety of careers. The knowledge and skills described in this revised set of Standards provide a framework with actionable indicators for Mathematics classroom experiences. The Wisconsin Department of Public Instruction will continue to build on this work to support implementation of the Standards with resources for the field.

8 I am excited to share the Wisconsin Standards for Mathematics , which aims to build skills, knowledge, and engagement opportunities for all Wisconsin students. Carolyn Stanford Taylor State Superintendent O Wisconsin Standards for Mathematics vi Acknowledgements The Wisconsin Department of Public Instruction (DPI) wishes to acknowledge the ongoing work, commitment, and various contributions of individuals to revise our state s academic Standards for Mathematics . Thank you to the State Superintendent s Standards Review Council for their work and guidance through the Standards process.

9 A special thanks to the Mathematics Writing Committee for taking on this important project that will shape the classrooms of today and tomorrow. Thanks to the many staff members across the division and other teams at DPI who have contributed their time and talent to this project. Finally, a special thanks to Wisconsin educators, businesspeople, parents, and citizens who provided comment and feedback to drafts of these Standards . Wisconsin Standards for Mathematics Chairs: Erick Hofacker, Professor of Mathematics , University of Wisconsin - River Falls Lori Williams, K-12 Math Specialist, Manitowoc Public School District Co-Chairs: Michelle Butturini, Mathematics Teacher, Reedsville School District Kenneth Davis, Teacher/Co-Chair of Mathematics Department, School District of Beloit Jenni McCool, Professor of Mathematics and Statistics, University of Wisconsin - La Crosse Cynthia Cuellar Rodriguez, Mathematics Teaching Specialist, Milwaukee Public Schools DPI Liaisons.

10 Julie Bormett, Mathematics Consultant Mary Mooney, Mathematics Consultant John W. Johnson, Director, Literacy and Mathematics Patricia Agee-Aguayo Green Bay Area School District Thiphachanh Aitch Milwaukee Public Schools Barb Bennie University of Wisconsin - La Crosse Stephanie Bernander CESA 6 Rebecca Brink Marinette School District Cathy Burge School District of Holmen Stacy Cortez Kenosha Unified School District Karen DeShong Hamilton School District Caitlin Duncan School District of Milton Dave Ebert Oregon School District Jessica Fleischmann Madison Metropolitan School District Wisconsin Standards for Mathematics vii Angela Ford Milwaukee Public