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Standards and Assessment Division
Arizona Academic Standards

"The essence of mathematics is not to make simple things complicated, but to make complicated things simple."

Stan Gudder

Goal/Objectives of AZ COUNTS Mathematics Initiative

Arizona Mathematics Standard
Common Core State Standards Initiative
2010 Arizona Mathematics Standards
2008 Mathematics Standard Articulated by Grade Level

ADE Professional Development Opportunities
AZ COUNTS for Teacher Leaders
AZ COUNTS for Administrators
Introduction to the 2010 Mathematics Standards
Understanding Mathematics Intervention Through the Lens of Prevention
Constructing Number Understanding (K-2)
Constructing Fraction Sense (3-5)

Arizona Intel Mathematics
The Intel Math course (80+ hours) examines the arithmetic, geometric, and algebraic aspects of operations, number theory, place value, rates, rational number, linear equations, and functions through a problem-solving lens. The course consists of 12 days of instruction offered during the summer and continuing into the school year. Please contact Mary Knuck at if you have a school team that may be interested in attending.

Mathematics Assessment Information

AIMS Released Items
AIMS Sample Tests
Multi-Year Testing Calendar 2010-2014
A Parent's Guide to Understanding AIMS-Dual Purpose Assessment Grades 3-8
Mathematics Blueprint
Mathematics AIMS Performance Level Descriptors
AIMS Math reference sheets
IDEAL - Formative Assessment Item Bank and Premade Quizzes - Resources for teachers including formative assessments for Arizona standards. To access these documents, you must be an Arizona educator with access to IDEAL. Log onto IDEAL with your username and password. Then click the Assessment tab.

Alternate Mathematics Standards for AIMS-A

Other Mathematics Assessment Information

American Diploma Project
The American Diploma Project (ADP) is an Achieve initiative created to ensure that all students graduate from high school prepared to face the challenges of work and college.

Balanced Assessment for the Mathematics Curriculum
The Balanced Assessment for the Mathematics Curriculum Project provides a library of over 300 innovative mathematics assessment tasks for grades K to 12.

National Assessment of Educational Progress (NAEP)
The National Assessment of Educational Progress (NAEP), also known as "the Nation's Report Card," is the only nationally representative and continuing assessment of what America's students know and can do in various subject areas.

NAEP Profile for Arizona

PARCC Assessment Consortium
Twenty-six states have joined together to create the Partnership for the Assessment of Readiness for College and Careers (PARCC or Partnership). Arizona is a governing state in the PARCC consortium. The goal is to create an assessment system and supporting tools that will help states dramatically increase the number of students who graduate high school ready for college and careers and provide students, parents, teachers and policymakers with the tools they need to help students - from grade three through high school - stay on track to graduate prepared.

Trends in International Mathematics and Science Study (TIMSS)
TIMSS, formerly known as the Third International Mathematics and Science Study) provides reliable and timely data on the mathematics and science achievement of U.S. students compared to that of students in other countries.

Arizona Mathematics Certification and HQT Information
AEPA (Arizona Educator Proficiency Assessments) Study Guides
Arizona's Model for Identifying Highly Qualified Teachers and Paraprofessionals
The Highly Qualified Teacher (HQT) Toolkit serves as a guide to assist Arizona's school administrators, teachers, and paraprofessionals in identifying and reporting highly qualified data. The following links will provide you with specific information about NCLB highly qualified requirements.

Mathematics Course Requirements and Recommended Instructional Time
High School Graduation Requirements
Table of High School Course Requirements (as adopted on 12/10/07)
High School Graduation Requirements Statute(as adopted on 12/10/07)
Possibilities for 4th Credit Mathematics Courses
Recommended Instructional Time (elementary)

ADE Developed Mathematics Resources
Pandemic Curriculum in Language Arts and Mathematics
English Language Development Strategies for Mathematics Content

Response to Intervention
Mathematics Response to Intervention page

Current Research and Publications
Adding It Up: Helping Children Learn Mathematics
Curriculum Topic Study
EDThoughts: What We Know About Mathematics Teaching and Learning
Effects of Teachers' Mathematical Knowledge for Teaching on Student Achievement
Helping Children Learn Mathematics
Science Can Take Her Places! Parents’ Guide
Sally Ride Science developed Science Can Take Her Places! This website encourages girls’ interests in science, math, and technology. A research-based guide for parents, grades 4-7, is linked and easily downloaded. The parent’s guide is available in Spanish.
Guide to Promising Practices in Informal Information Technology Education for Girls
The National Center for Women in Information Technology and Girl Scouts of the USA published the Guide to Promising Practices in Informal Information Technology Education for Girls. The report was prepared by Carrie Liston, Karen Peterson, and Vicky Ragan and is based on a survey of 156 programs. It identifies eight practices that contribute most to success.
Three publications on model programs
The National Science Foundation’s Research on Gender in Science and Engineering program released New Formulas for America’s Workforce I & II, and New Tools. All three publications catalog projects and products funded by the program from 1993 through 2005. They represent educational projects, dissemination products and events, and basic social science research.
Outreach Examples
The Society of Women Engineers catalog of K-12 Programs at SWE includes a list of programs implemented by chapters all over the country.
How Students Learn: Mathematics in the Classroom
Knowing Mathematics for Teaching
Math Now: Advancing Math Education in Elementary and Middle School (US Department of Education Initiative)
Mathematical Proficiency for All Students
National Center for Improving Learning and Achievement in Mathematics and Science
National Mathematics Advisory Panel (US Department of Education)
On April 18, 2006, President Bush created the National Mathematics Advisory Panel. The panel will advise the President and Secretary Spellings on the best use of scientifically based research on the teaching and learning of mathematics.

Professional Organizations for Mathematics Teachers
National Council of Teachers of Mathematics
Arizona Association of Teachers of Mathematics
National Council of Supervisors of Mathematics
TODOS: Mathematics for ALL
American Mathematical Society
Women and Mathematics Education

Grants and Awards
Math and Science Partnership Grant
PAEMST - Presidential Award for Excellence in Mathematics and Science Teaching

Links to Mathematics Resources

Please note: While the following sites have been identified as containing quality information for mathematics education, teachers need to review individual materials for content quality and alignment. All content is not necessarily aligned to the Arizona Mathematics Standard.

Addressing Accessibility in Mathematics
The Education Development Center’s project, Addressing Accessibility in Mathematics links resources like Guiding Questions for Planning Accessibility Strategies, Instructional Strategies to Increase Accessibility, and Accessibility Strategies for Mathematics which are designed to help teachers improve student success in mathematics.

Annenberg Media
Annenberg Media uses media and telecommunications to advance excellent teaching in American schools.

Arizona School Services through Educational Technology Professional Development and Curricular Resources for Mathematics Educators. To access this information, you must be an Arizona educator with access to ASSET.

Best Evidence Encyclopedia
The Best Evidence Encyclopedia is a free web site created by the Johns Hopkins University School of Education's Center for Data-Driven Reform in Education (CDDRE) under funding from the Institute of Education Sciences, U.S. Department of Education. It is intended to give educators and researchers fair and useful information about the strength of the evidence supporting a variety of programs available for students in grades K-12. The Best Evidence Encyclopedia provides summaries of scientific reviews produced by many authors and organizations, as well as links to the full texts of each review.

Calculation Nation
NCTM developed a world of online math strategy games for middle grades students.(free registration required)

The Center for Innovation in Engineering and Science Education
CIESE sponsors and designs interdisciplinary projects that teachers throughout the world can use to enhance their curriculum through compelling use of the Internet.

The Center on Instruction
The Center on Instruction offers materials and resources on mathematics to build educators’ knowledge of instruction for students with low achievement in mathematics, improve professional development models for math teachers, and build teachers’ skills in monitoring student growth toward important math outcomes.

Cool Math
Cool math offers educators, parents, and students many lessons, games, and learning tools for learning mathematics at many levels.

Data Simulations
Teaching with data simulations helps students visualize abstract statistical concepts and see dynamic processes behind the gathering, analysis, and interpretation of statistics.

Discovery Education
This site provides lesson plans for mathematics lessons for grades K-12.

Doing What Works
Doing What Works is a web site of the Department of Education offering new features to help teachers locate materials about effective teaching practices.

DragonFly TV
DragonFly TV has mathematics and science games and puzzles.

Eisenhower National Clearinghouse (ENC)
ENC offers timely, high-quality math and science resources. Subscription service with limited free access to curricular materials.

Fact Monster
Fact monster helps students learn about numbers, formulas, fractions, measurement, and money.

Federal Resources for Educational Excellence
Math teaching and learning resources from across the federal government.

FedStats – Map Stats for Kids
FedStats provides easy access to statistics and information produced by more than 100 US Federal Government agencies. Map Stats for Kids addresses concepts about maps and statistics through interactive applets and games.

Figure This!
Figure This! offers interactive math problems families can use to help children understand estimation, volume, and other important mathematical concepts.

Fun Brain
Fun brain provides mathematics learning activities for parents and teachers, including flashcards, games, and a curriculum guide.

Gamequarium offers math resources for K-8, including interactive mathematics games, virtual manipulatives, online calculators, and graphing tools.

GeoGebra is a free and dynamic mathematics software that integrates geometry, algebra, and calculus. Students can create geometric constructions with points, vectors, segments, lines, and functions, and also work with variables and derivatives.

Helping Your Child Learn Mathematics
Helping Your Child Learn Mathematics features dozens of activities parents can use to help children (K-5th grade) learn geometry, algebra, measurement, statistics, probability and other important mathematical concepts.

Illuminations Project
The Illuminations Project is designed to illuminate the vision for school mathematics described in NCTM's Principles and Standards for School Mathematics.

The K-12 Mathematics Curriculum Center
The K-12 Mathematics Curriculum Center informs and assists schools and districts as they select and implement Standards-based mathematics curricula.

Information: MATHCOUNTS® is a national math enrichment, coaching & competition program that promotes middle school mathematics achievement in every U.S. state & territory.

Math Doesn’t Suck
The actress Danica McKellar has a degree in mathematics, has written a proof, and has written two books about mathematics, Kiss My Math and Math Doesn’t Suck. She explains why it is cool to learn mathematics, and she breaks the stereotypes of mathematics majors. Click on “About Danica”. Scroll down to Danica’s Math Page.

The Math Forum
The Math Forum is a leading center for mathematics and mathematics education on the Internet. Operating under Drexel's School of Education.

Math is Fun
Math is fun is an educational and fun approach to mathematics through games, puzzles, and online activities. Topics include algebra, geometry, measurement, and money.

Math League
Math league provides resources to help students in grades 4-6 learn mathematics concepts such as whole numbers, decimals, data statistics, fractions, geometry, rate, and proportion.

Math Models
Mathmodels is a free modeling forum that provides educators with problems from a modeling database to enrich their classroom. It also gives students the opportunity to work with their peers or other students from around the world on challenging mathematics problems.

Math Playground
Math Playground is a fun and action-packed web site for students in elementary and middle grades with interactive mathematics facts, games, and quizzes.

Mathematician Biographies
Agnes Scott College created this website with biographies of women mathematicians.

Merlot Mathematics Portal
The portal provides links to lesson resources, applets, and a pedagogic collection.

Money Math
Money Math: This is a four lesson, 86-page curriculum aligned to the national mathematics standards.

National Library of Virtual Manipulatives (NLVM)
The National Library of Virtual Manipulatives (NLVM) is an NSF supported project that began in 1999 to develop a library of uniquely interactive, web-based virtual manipulated or concept tutorials, mostly in the form of Java applets, for mathematics instruction (K-12 emphasis).

NCTM Resource Page
NCTM lessons and resources page includes publications, journal articles, and past president’s messages.

Paper Models of Polyhedra
The paper models available on the site support students’ investigation of polyhedral and teachers’ implementation of a lesson focused on M08-S4C1-02, Predict results of combining, subdividing, and changing shapes of plane figures and solids.

PBS TeacherSource
This site provides lesson plans and activities and online video of teachers modeling math lessons.

Problem of the Week
Problem of the Week offers mathematics problems for students of all grade levels and the latest news about developments in mathematics, applications of mathematics, and interesting mathematics careers.

Project SkyMath: Making Mathematical Connections
This site is designed for middle school mathematics teachers. It contains all the information for teachers to implement the 16 classroom activities of SkyMath.

Sally Ride Science
Sally Ride Science™ is an innovative science education company dedicated to supporting girls’ and boys’ interests in science, math and technology. We believe that when children are encouraged to pursue their interests they are inspired to think about their futures, and are better prepared to pursue a wide range of exciting opportunities in high school, college and beyond.

Shodor Education Foundation, Inc.
The Shodor Foundation is a non-profit research and education organization dedicated to the advancement of science and math education, specifically through the use of modeling and simulation technologies.

Soft Schools
Soft schools provides interactive games for elementary and middle school subjects.

Space Place
Nasa Space Place offers hands-on projects, interactive games, animations, and amazing facts about math, science, and technology for elementary students.

SpaceTime Arcade offers free mathematics games.

The website supports students in learning operations with integers. It contains explanations, practice, and educational videos.

Teacher TV
The website provides thousands of free TV and online education programs for all ages. It provides uncut videos of mathematics lessons.

Teacher's Domain
Teacher’s Domain links many different lesson plans organized by content area and grade level.

The searchable lesson plan bank offers free lesson plans submitted online by prekindergarten through grade 12 teachers.

The TechMatrix: Assistive Technology Tools and Resources for Learning
The TechMatrix is a product of the National Center for Technology Innovation (NCTI) and the Center for Implementing Technology in Education (CITEd) with support from the US Department of Education and NEC Foundation of America. Each InfoPage contains links to targeted resources, research, professional development materials, and custom-designed searches to find technology tools.

What Works Clearinghouse
The What Works Clearinghouse (WWC) collects, screens, and identifies studies of the effectiveness of educational interventions (programs, products, practices, and policies).

Women at MIT
The Association of MIT Alumnae website celebrates 125 Years of women at MIT, from 1873-1998. Stories of pioneers are included with lots of photos and a bibliography. The stories are tied to trends in women’s rights in 20th Century.

World of Math Online
The world of math online provides free online calculators for probability, trigonometry, graphing, and quadratic equations.

Mary Knuck, NBCT, Ed.D.
Deputy Associate Superintendent
Standards-Based Best Practices

Contact Information


This page was last updated on
Thursday, March 10, 2011.

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