Algebra I Module 1 Teacher Edition

Eureka Math?

Algebra I Module 1

Teacher Edition

Published by Great Minds?.



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Eureka Math: A Story of Functions Contributors

Mimi Alkire, Lead Writer / Editor, Algebra I

Michael Allwood, Curriculum Writer

Tiah Alphonso, Program Manager¡ªCurriculum Production

Catriona Anderson, Program Manager¡ªImplementation Support

Beau Bailey, Curriculum Writer

Scott Baldridge, Lead Mathematician and Lead Curriculum Writer

Christopher Bejar, Curriculum Writer

Andrew Bender, Curriculum Writer

Bonnie Bergstresser, Math Auditor

Chris Black, Mathematician and Lead Writer, Algebra II

Gail Burrill, Curriculum Writer

Carlos Carrera, Curriculum Writer

Beth Chance, Statistician, Assessment Advisor, Statistics

Andrew Chen, Advising Mathematician

Melvin Damaolao, Curriculum Writer

Wendy DenBesten, Curriculum Writer

Jill Diniz, Program Director

Lori Fanning, Math Auditor

Joe Ferrantelli, Curriculum Writer

Ellen Fort, Curriculum Writer

Kathy Fritz, Curriculum Writer

Thomas Gaffey, Curriculum Writer

Sheri Goings, Curriculum Writer

Pam Goodner, Lead Writer / Editor, Geometry and Precalculus

Stefanie Hassan, Curriculum Writer

Sherri Hernandez, Math Auditor

Bob Hollister, Math Auditor

Patrick Hopfensperger, Curriculum Writer

James Key, Curriculum Writer

Jeremy Kilpatrick, Mathematics Educator, Algebra II

Jenny Kim, Curriculum Writer

Brian Kotz, Curriculum Writer

Henry Kranendonk, Lead Writer / Editor, Statistics

Yvonne Lai, Mathematician, Geometry

Connie Laughlin, Math Auditor

Athena Leonardo, Curriculum Writer

Jennifer Loftin, Program Manager¡ªProfessional Development

James Madden, Mathematician, Lead Writer, Geometry

Nell McAnelly, Project Director

Ben McCarty, Mathematician, Lead Writer, Geometry

Stacie McClintock, Document Production Manager

Robert Michelin, Curriculum Writer

Chih Ming Huang, Curriculum Writer

Pia Mohsen, Lead Writer / Editor, Geometry

Jerry Moreno, Statistician

Chris Murcko, Curriculum Writer

Selena Oswalt, Lead Writer / Editor, Algebra I, Algebra II, and Precalculus

Roxy Peck, Mathematician, Lead Writer, Statistics

Noam Pillischer, Curriculum Writer

Terrie Poehl, Math Auditor

Rob Richardson, Curriculum Writer

Kristen Riedel, Math Audit Team Lead

Spencer Roby, Math Auditor

William Rorison, Curriculum Writer

Alex Sczesnak, Curriculum Writer

Michel Smith, Mathematician, Algebra II

Hester Sutton, Curriculum Writer

James Tanton, Advising Mathematician

Shannon Vinson, Lead Writer / Editor, Statistics

Eric Weber, Mathematics Educator, Algebra II

Allison Witcraft, Math Auditor

David Wright, Mathematician, Geometry

Board of Trustees

Lynne Munson, President and Executive Director of Great Minds

Nell McAnelly, Chairman, Co-Director Emeritus of the Gordon A. Cain Center for STEM Literacy at Louisiana

State University

William Kelly, Treasurer, Co-Founder and CEO at ReelDx

Jason Griffiths, Secretary, Director of Programs at the National Academy of Advanced Teacher Education

Pascal Forgione, Former Executive Director of the Center on K-12 Assessment and Performance Management

at ETS

Lorraine Griffith, Title I Reading Specialist at West Buncombe Elementary School in Asheville, North Carolina

Bill Honig, President of the Consortium on Reading Excellence (CORE)

Richard Kessler, Executive Dean of Mannes College the New School for Music

Chi Kim, Former Superintendent, Ross School District

Karen LeFever, Executive Vice President and Chief Development Officer at ChanceLight Behavioral Health and

Education

Maria Neira, Former Vice President, New York State United Teachers

A STORY OF FUNCTIONS

Mathematics Curriculum

ALGEBRA I ? MODULE 1

Table of Contents 1

Relationships Between Quantities and

Reasoning with Equations and Their Graphs

Module Overview............................................................................................................................... 3

Topic A: Introduction to Functions Studied this Year¡ªGraphing Stories (N-Q.A.1, N-Q.A.2, N-Q.A.3,

A-CED.A.2) .......................................................................................................................... 15

Lesson 1: Graphs of Piecewise Linear Functions......................................................................... 17

Lesson 2: Graphs of Quadratic Functions .................................................................................. 24

Lesson 3: Graphs of Exponential Functions ............................................................................... 35

Lesson 4: Analyzing Graphs¡ªWater Usage During a Typical Day at School .................................... 45

Lesson 5: Two Graphing Stories .............................................................................................. 53

Topic B: The Structure of Expressions (A-SSE.A.2, A-APR.A.1) ................................................................. 63

Lesson 6: Algebraic Expressions¡ªThe Distributive Property ........................................................ 65

Lesson 7: Algebraic Expressions¡ªThe Commutative and Associative Properties............................. 76

Lesson 8: Adding and Subtracting Polynomials .......................................................................... 89

Lesson 9: Multiplying Polynomials ........................................................................................... 98

Mid-Module Assessment and Rubric..................................................................................................106

Topics A through B (assessment 2 days, return and remediation or further applications ? days)

Topic C: Solving Equations and Inequalities (A-CED.A.3, A-CED.A.4, A-REI.A.1, A-REI.B.3, A-REI.C.5,

A-REI.C.6, A-REI.D.10, A-REI.D.12).........................................................................................133

Lesson 10: True and False Equations .......................................................................................135

Lesson 11: Solution Sets for Equations and Inequalities .............................................................145

Lesson 12: Solving Equations .................................................................................................160

Lesson 13: Some Potential Dangers when Solving Equations ......................................................170

Lesson 14: Solving Inequalities...............................................................................................179

Lesson 15: Solution Sets of Two or More Equations (or Inequalities) Joined by ¡°And¡± or ¡°Or¡± .........188

Lesson 16: Solving and Graphing Inequalities Joined by ¡°And¡± or ¡°Or¡± .........................................198

1Each lesson is

ONE day, and ONE day is considered a 45-minute period.

Module 1:

Relationships Between Quantities and Reasoning with Equations and

Their Graphs

?2015 Great Minds. eureka-

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