Achieve's "backmapped" Mathematics Benchmarks, K – 12 originated in February 2002 when Achieve published Foundations for Success (pdf), which defined the math that students need to master by the end of grade 8 to be prepared for challenging courses in high school. The expectations for the middle grades were developed by Achieve's Mathematics Advisory Panel, a diverse group of university mathematicians, mathematics educators, and state and local supervisors of mathematics education. Subsequent to the release of Foundations, Achieve worked to backmap expectations for grades K – 5 to provide a draft set of K – 8 benchmarks. They were further pared in 2007 and became the Elementary Mathematics Benchmarks, Grades K – 6 when Achieve subsequently developed its Secondary Mathematics Benchmarks, Grades 7 – 12.

Below are the writers and reviewers who helped us in the various stages of this project. We wish to thank all the contributors who have influenced and improved our work, though we must also note that the names listed below have not necessarily endorsed the final results. The affiliations listed for writers and reviewers reflect their position at the time they were involved with the project.

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Achieve Staff
Kaye Forgione – Senior Associate, Mathematics
Laura Slover – Vice President, Content and Policy Research

Elementary Mathematics Benchmarks, Grades K – 6 (originally K – 8)
Writers and Reviewers
2003 – 2004 (revised 2007 for Grades K – 6)

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Writers
Harold Asturias – Deputy Director of Mathematics and Science Professional Development, Office of the President, University of California
Phil Daro – Director, Public Forum on School Accountability
Karen Fuson – Professor Emeritus, School of Education and Social Policy, Northwestern University
Roger Howe – Professor of Mathematics, Yale University
Linda Hunt – Mathematics Instructor, Chicago Public Schools
Carl Lager – Mathematics Assessment Coordinator, Vermont Department of Education
Lucy Michal – Director of Mathematics and Science, University of Texas at El Paso
Anne Mikesell – Mathematics Consultant, Ohio Department of Education
Ralph Raimi – Professor Emeritus of Mathematics, University of Rochester
Paul Sally – Professor of Mathematics, University of Chicago
William Schmidt – University Distinguished Professor, Michigan State University
Ann Shannon (Lead Writer) – Consultant, Office of the President, University of California
Lynn Steen – Professor of Mathematics, St. Olaf College
David Wright – Professor of Mathematics, Brigham Young University
Hung-Hsi Wu – Professor of Mathematics, University of California – Berkeley

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Reviewers
Susan Addington – Professor of Mathematics, California State University – San Bernardino
Richard Askey – Professor of Mathematics, University of Wisconsin – Madison
Sybilia Beckmann – Professor of Mathematics, University of Georgia
Edna Horton Flores – Mathematics Department Chair, Kenwood Academy (IL)
Marcia Friedland – Grade 6 Teacher, Onahan School (IL)
Bert Fristedt – Professor of Mathematics, University of Minnesota
Linda Hedrick – Grade 6 Math Teacher, West Middle School (CO)
Don King – Associate Professor, Mathematics, Northeastern University
James Lewis – Professor of Mathematics, University of Nebraska – Lincoln
Bethe McBride – Supervisor of Mathematics 6 – 12, Haverhill High School (MA)
William McCallum – Professor of Mathematics, University of Arizona
Linda Plattner – President, Strategic Teaching
Susan Jo Russell – Co-Principal Investigator, Investigations in Number, Data, and Space, TERC
Cheri Schuricht – Grades 5 Teacher, Westgate Elementary (WA)
Andre Toom – Professor of Mathematics, Universidade Federal de Pernambuco
Ava Warren – NSF Project Co-Director, Hamilton County Department of Education

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Secondary Mathematics Benchmarks, Grades 7 – 12
2005 – 2007

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Writers
Melanie Alkire – Mathematics Consultant / Secondary Mathematics Teacher, Cleveland High School, Cleveland, OH
Sue Eddins (Lead Writer) – Mathematics Consultant, Retired – Illinois Mathematics/Science Academy
Wade Ellis – Mathematics Professor, West Valley College
Mark Endsley – Director, Proficiency-based Admission Standards System (PASS), Oregon University System
James Epperson – Mathematics Professor, University of Texas at Arlington
Ruth Anne Hodges – Mathematics Consultant, Michigan Department of Education
Susan Hull – Director of Mathematics, Charles A. Dana Center. University of Texas
William McCallum – Professor of Mathematics, University of Arizona
Fabio Milner – Professor of Mathematics, Purdue University
Barbara Montalto – Mathematics Consultant, Retired - Texas Education Agency
Bruce Normandia – Chair of Mathematics Curriculum & Instruction, Monmouth University
Michael Roach – Mathematics Consultant, Indiana Department of Education
William Schmidt – University Distinguished Professor, Michigan State University
Dmitri Seals – Mathematics Consultant / Secondary Mathematics Teacher, Maya Angelou Public Charter School, Washington, DC
Doug Sovde – Assistant Principal, Bellevue High School, Bellevue, WA
James Wright – Mathematics Consultant, Ohio Department of Education

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Reviewers
Everly Broadway – Section Chief for Middle and Secondary Mathematics, North Carolina Department of Public Instruction
Skip Fennell – President, National Council of Teachers of Mathematics
Steve Leinwand – Principal Research Scientist, Mathematics, American Institute of Research
Lucy Michal – Director of Mathematics and Science, University of Texas at El Paso
James Milgram – Professor of Mathematics, Stanford University
Robin O’Callaghan – Senior Mathematics Content Specialist, The College Board
Robert Riehs – Mathematics Specialist, New Jersey Department of Education
Richard L. Scheaffer – Professor of Statistics, University of Florida
Lynn Steen – Professor of Mathematics, St. Olaf College
James Stigler – Chairman and CEO, Lesson Lab