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Wisconsin Department of Public Instruction
WISCONSIN STANDARDS FOR
Mathematics
Wisconsin 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 http://dpi.wi.gov/math May 2021 Wisconsin Department of Public InstructionThe 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.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 ....................................................................................... 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 School...................................................................................................................... 131
Introduction and Content Standards
Modeling ................................................................................................................................................................................................. 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.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 ofWisconsin"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 theWisconsin Department of Public instruction"s vision of helping all students graduate college and career ready.
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 a
gency, students needinstruction 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. 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.
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
OWisconsin 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. 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: Julie Bormett, Mathematics ConsultantMary Mooney, Mathematics Consultant
John W. Johnson, Director, Literacy and MathematicsPatricia 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
Ken osha Unified SchoolDistrict
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 School
District
Polly Franklin
School District of Beloit
Jose Garcia Joven
Milwaukee Public Schools
Vicki Gjovik
New Richmond School
District
Allison Graumann
La Crosse School District
Morgan Hanson
Chippewa Falls School
District
Melissa Hedges
School District of South
Milwaukee
Teri Hedges
Madison Metropolitan
School District
Deb Heitman
Coleman School District
Shamika Johnson
Milwaukee Public Schools
Henry Kranendonk
Marquette University
Kurt Krizan
Appleton Area School
District
Beth Lajcak
School District of Ashland
Jodi Lee
School District of Holmen
Frelesha LeFlore
Milwaukee Public Schools
Shawon LeFlore-Turnch
Glendale-River Hills
School District
RunningHorse Livingston
Bad River Band of Lake
Superior Chippewa
Nicole Louie
University of Wisconsin -
Madison
Maggie McHugh
La Crosse School District
Elnore McKinley
Milwaukee Public Schools
Curtis Marquardt
West Bend School District
Karen Mittelstaedt
Verona Area School
District
Michelle Parks
Augusta School District
Dan Pochinski
School District of
Waukesha
Kevin Reese
Clintonville Public School
District
Lauren Richards
Milwaukee Academy of
Science
Ann Rocha
Reedsburg School District
Connie Roetzer
River Falls School District
Dean Roush
Luck Public School
District
Mark Schommer
D.C. Everest School
District
Sherrie Serros
Mount Mary University
Michelle Simpson
School District of Ashland
Mallory Smith
Hartford Union High
School District
Amy Traynor
School District of
Mondovi
Susan VandeHey
Kaukauna Area School
District
Leigh van den Kieboom
Marquette University
Hilario Villa
Milwaukee Public Schools
Mary Walz
Sauk Prairie School
District
Thai Xiong
Appleton Area School
District
María Zúñiga
Milwaukee Public Schools
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