Massachusetts Curriculum Framework
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- Massachusetts
- November 29, 2016
- Board of Elementary and Secondary Education Members
- Introduction 1 Guiding Principles for Mathematics Programs in Massachusetts 8 The Standards for Mathematical Practice 14
- High School Conceptual Categories
- Model Integrated Pathway
- Massachusetts Department of
 
Massachusetts Curriculum Framework for Mathematics Grades Pre-Kindergarten to 12 Changes to 2011 Framework Highlighted or Tracked DRAFT FOR PUBLIC COMMENT November 29, 2016 
This document was prepared by the Massachusetts Department of Elementary and Secondary Education Mitchell D. Chester, Ed. D., Commissioner Board of Elementary and Secondary Education Members Mr. Paul Sagan, Chair, Cambridge Mr. James Morton, Vice Chair, Boston Ms. Katherine Craven, Brookline Dr. Edward Doherty, Hyde Park Dr. Roland Fryer, Concord Ms. Margaret McKenna, Boston Mr. Michael Moriarty, Holyoke Dr. Pendred Noyce, Boston Mr. James Peyser, Secretary of Education, Milton Ms. Mary Ann Stewart, Lexington Mr. Nathan Moore, Chair, Student Advisory Council, Scituate Mitchell D. Chester, Ed.D., Commissioner and Secretary to the Board The Massachusetts Department of Elementary and Secondary Education, an affirmative action employer, is committed to ensuring that all of its programs and facilities are accessible to all members of the public. We do not discriminate on the basis of age, color, disability, national origin, race, religion, sex, or sexual orientation. Inquiries regarding the Department’s compliance with Title IX and other civil rights laws may be directed to the Human Resources Director, 75 Pleasant St., Malden, MA, 02148, 781-338-6105. © 2011 Massachusetts Department of Elementary and Secondary Education Permission is hereby granted to copy any or all parts of this document for non-commercial educational purposes. Please credit the “Massachusetts Department of Elementary and Secondary Education.” This document printed on recycled paper Massachusetts Department of Elementary and Secondary Education 75 Pleasant Street, Malden, MA 02148-4906 Phone 781-338-3000 TTY: N.E.T. Relay 800-439-2370 www.doe.mass.edu 
Commissioner’s Letter ii Acknowledgements iii Introduction 1 Guiding Principles for Mathematics Programs in Massachusetts 8 The Standards for Mathematical Practice 14 Pre-Kindergarten–Grade 8 Introduction 18 Pre-Kindergarten 21 Kindergarten 25 Grade 1 28 Grade 2 32 Grade 3 36 Grade 4 41 Grade 5 46 Grade 6 51 Grade 7 57 Grade 8 63 High School Conceptual Categories Introduction 68 Number and Quantity 72 Algebra 76 Functions 83 Modeling 90 Geometry 92 Statistics and Probability 100 High School Model Pathways and Model Courses Introduction 106 Model Traditional Pathway Model Algebra I 111 Model Geometry 119 Model Algebra II 126 Model Integrated Pathway Model Mathematics I 132 Model Mathematics II 140 Model Mathematics III 150 Model Advanced Courses Model Precalculus 158 Model Advanced Quantitative Reasoning 164 Making Decisions about Course Sequences and the Model Algebra I Course….………… ..169 Standards for Mathematical Practice Grade Span Descriptions ………………………… …173 Application of Standards for English Language Learners and Students with Disabilities…….. 182 Glossary: Mathematical Terms and Illustrations 186 Tables and Illustrations of Key Mathematical Properties, Rules, and Number Sets 195 Sample of Works Consulted 199 Massachusetts Department of 
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