Curriculum Guide - Alabama State Department of Education

Curriculum Guide

to the Alabama Course of Study

Mathematics

Grades K-12

2

Thomas R. Bice, State Superintendent of Education ¡¤Alabama State Department of Education

Updated July 2016

For information regarding the Curriculum Guide to the Alabama Course

of Study: Mathematics, contact:

Alabama State Department of Education

Special Education Services

3317 Gordon Persons Building

50 North Ripley Street

Montgomery, Alabama 36104;

or by mail to P.O. Box 302101

Montgomery, Alabama 36130-2101

Telephone number (334) 242-8114

Email address speced@alsde.edu

2012

Thomas R. Bice, State Superintendent of Education

Alabama State Department of Education

It is the official policy of the Alabama State Department of Education that no person in Alabama shall, be

denied employment, be excluded from participation in, be denied the benefits of, or be subjected to

discrimination in any program or activity on the basis of disability, gender, race, religion, national origin,

color, age or genetics. Ref: Sec. 1983, Civil Rights Act, 42 U.S.C.; Title VI and VII, Civil Rights Act of

1964; Rehabilitation Act of 1973, Sec. 504; Age Discrimination in Employment Act; The Americans with

Disabilities Act of 1990 and The Americans with Disabilities Act Amendments Act of 2008; Equal Pay

Act of 1963; Title IX of the Education Amendment of 1972; Title II of the Genetic Information

Nondiscrimination Act of 2008: Title IX Coordinator, P.O. Box 302101, Montgomery, Alabama 361302101 or call (334) 242-8165.

CURRICLUM GUIDE TO THE ALABAMA COURSE OF STUDY:

MATHEMATICS

Table of Contents

PREFACE.................................................................................................................................................... ii

ACKNOWLEDGMENTS ......................................................................................................................... iii

INTRODUCTION....................................................................................................................................... 1

ORGANIZATION OF THE CURRICULUM GUIDE ............................................................................ 2

STANDARDS FOR MATHEMATICAL PRACTICE ............................................................................ 3

MATHEMATICS CONTENT STANDARDS AND INSTRUCTIONAL OBJECTIVES

GRADES K-8

Grade K ................................................................................................................................................. 6

Grade 1 ................................................................................................................................................ 12

Grade 2 ................................................................................................................................................ 20

Grade 3 ................................................................................................................................................ 30

Grade 4 ................................................................................................................................................ 44

Grade 5 ................................................................................................................................................ 58

Grade 6 ................................................................................................................................................ 72

Grade 7 ................................................................................................................................................ 84

Grade 8 ................................................................................................................................................ 97

STANDARDS FOR HIGH SCHOOL MATHEMATICS ................................................................... 107

ESSENTIALS MATHEMATICS COURSES ...................................................................................... 108

ESSENTIALS/LIFE SKILLS PATHWAY, Mathematics Course Sequence .................................... 109

MATHEMATICS CONTENT STANDARDS AND INSTRUCTIONAL OBJECTIVES

GRADES 9¨C12

Algebra I............................................................................................................................................ 110

Geometry ........................................................................................................................................... 130

Algebraic Connections ..................................................................................................................... 144

Algebra II .......................................................................................................................................... 148

Algebra II with Trigonometry ......................................................................................................... 162

APPENDIX:

A.

B.

C.

D.

DIRECTIONS FOR INTERPRETING THE MINIMUM REQUIRED CONTENT .......... 178

ALGEBRAIC CONCEPTS (ESSENTIALS COURSE) ......................................................... 180

ALGEBRAIC ESSENTIALS .................................................................................................... 184

GEOMETRY ESSENTIALS .................................................................................................... 190

GLOSSARY............................................................................................................................................. 194

BIBLIOGRAPHY ................................................................................................................................... 204

Curriculum Guide to the Alabama Course of Study: Mathematics

i

PREFACE

The Curriculum Guide to the Alabama Course of Study: Mathematics provides prerequisite and enabling

skills that lead to learning grade-level academic standards. The curriculum guide can be used to assist

students in learning content in smaller increments, catching up on content they may have missed in

previous years, and/or reviewing content related to grade-level academic standards.

The 2011-2012 Curriculum Guide to the Alabama Course of Study Mathematics Task Force utilized the

2010 Alabama Course of Study: Mathematics. In addition, the Task Force reviewed past copies of the

Curriculum Guide to the Alabama Course of Study: Mathematics. Members of the Task Force used their

academic content knowledge and experiential knowledge related to students with and without disabilities

to produce this resource for closing the gap between grade-level content and students¡¯ instructional levels.

Curriculum Guide to the Alabama Course of Study: Mathematics

ii

ACKNOWLEDGMENTS

This document was developed by the 2011-2012 Curriculum Guide to the Alabama Course of Study

Mathematics Task Force composed of elementary, middle school, high school, and college educators.

The Task Force began the document during the summer of 2011.

2011-2012 Curriculum Guide to the Alabama Course of Study Mathematics Task Force

Bertha Allen, Math Specialist, Alabama Math Science Technology Initiative, WCCS/ASU Site

Cynthia Augustine, Eligibility Coordinator and Consulting Teacher, Blount County

Robin Ayers, Special Education Teacher, Baldwin County

Tiffany Barlow, Math Specialist, Alabama Math Science Technology Initiative, WCCS/ASU Site

Melanie Baswell, Teacher, Baldwin County Schools

Faye Bryant, Instructor, J.F. Ingram State Technical College

Dana Cartier, Advanced Math Teacher

Jenny Finlay, District Math Coach (Elementary), Montgomery County

Tara Foster, Elementary Specialist, Alabama Math Science Technology Initiative, UAB Site

Lisa Geist, Special Education Teacher, Winfield City

Deborah Goodwin, Math Specialist, Alabama Math Science Technology Initiative, WCCS/ASU Site

Polly Harper, Special Education Teacher, Mountain Brook City

Allison Harwell, Teacher, Madison County

DeAndres Inge, Asst. Director/Math Specialist, Alabama Math Science Technology Initiative, WCCS/ASU Site

Jenny McAlister, Special Education Teacher, Opelika City

Angelene McGrady, Special Education Teacher, Midfield City

Linda Mooney, Math Coach, McKee Elementary, Montgomery County

Starr Plump, District Math Coach (Secondary), Montgomery County

Janet Rainey, Math Coach, Peter Crump Elementary, Montgomery County

Cynthia Russell, Special Education Teacher, Cleburne County

Teri Shriver, Retired Special Education Teacher, Autauga County

Mary Spence, Teacher, Chambers County

Andrea von Herrmann, Teacher, Jefferson County

Paige Walton, Teacher, Huntsville City

Janice M. Williams, Teacher, Huntsville City

Janice Williams, Teacher, Sylacauga City

Erin Young, Teacher, Cherokee County

2012 Essentials Mathematics Courses Ad Hoc Committee

Cynthia Augustine, Eligibility Coordinator and Consulting Teacher, Blount County

Jeremy Penny, Teacher, Blount County

Starr Plump, District Math Coach (Secondary), Montgomery County

Curriculum Guide to the Alabama Course of Study: Mathematics

iii

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