Math Standards Resources

There are some "official" standards sites and other unofficial sites linked on this page.  Inclusion of resources on this page does not constitute endorsement by the editor of this site. You must determine for yourself if these resources truly match the standards.

ASCD Policy Points -- Debunking Myths About Common Core -- http://www.ascd.org/ASCD/pdf/siteASCD/publications/policypoints/PolicyPoints_Common_Core_State_Standards.pdf -- lists common myths circulating about CCSS and then tells the facts.

Tools Being Talked About -- http://collegeready.gatesfoundation.org/learning/tools-being-talked-about/?utm_content=bufferc47ab&utm_medium=social&utm_source=twitter.com&utm_campaign=buffer -- a snapshot of tools being used by teachers, school systems, and school leaders. It’s organized by primary purpose, tool name, a short description and links directly to the tools’ site to learn more.

The Standards:

• Arkansas Mathematics Standards --   https://dese.ade.arkansas.gov/Offices/learning-services/curriculum-support/mathematics-standards-and-courses  
• Math Milestones - https://www.mathmilestones.org/gradelevel-grids  - math problems that represent the big rocks at each grade level  
• Achieve Major Work of the Grade - https://achievethecore.org/page/634/focus-in-mathematics 

PARCC and ACT Aspire information can be found on the Performance Tasks and Test Items page of this wiki.

Learning and Content Progressions: 

• Model Content Frameworks (MCF) from PARCC (Revised Nov. 2012)  -- http://www.parcconline.org/parcc-model-content-frameworks -- content frameworks to help in curriculum development and alignment.  The revised version includes testing information for both K-8 and High school.
• Key Instructional Shifts -  http://www.achievethecore.org/downloads/Math%20Shifts%20and%20Major%20Work%20of%20Grade.pdf -- contains "content Emphasis by Cluster" like the ones in the PARCC MCF, but this document also has the lists for K-2.
• Mathematics Learning Progressions -- Completed progressions are posted at http://ime.math.arizona.edu/progressions/ --Progressions in progress athttp://commoncoretools.wordpress.com/  -- mathematics learning progressions being developed by a team headed by one of the authors of the CCSS.  These progressions contain sample problems and a discussion of how ideas develop across grade levels.   
• Coherence Map -- http://achievethecore.us9.list-manage.com/track/click?u=4ec6bb1ee5975776b3619f439&id=9d0e774140&e=7a034fdc2c -- The tool is a dynamic version of Jason Zimba'sWiring Diagram. Educators can easily search for a particular grade-level standard and instantly see how it connects to other standards within and across grades. Additional resources (tasks, assessments, connections to other documents, etc.) for each standard support deeper understanding. 
• Monster Graph of the Standards -- http://www.edutron.com/0/Math/ccssmgraph_with_%20pop-up_standards_v01.pdf -- Jason Zimba created this diagram which connects all the standards across grade levels.
• Wiring Diagram - http://dl.dropbox.com/u/11459286/ccssmgraph.pdf - Wiring diagram (a pdf version of the monster graph) showing which standards connect to others.  This version does not have pop up standards, just the standard numbers. 
• "Teaching Geometry According to the Common Core Standards" -- Geometry progression by H. Wu -- http://math.berkeley.edu/~wu/Progressions_Geometry.pdf 
• "Teaching Geometry in Grade 8 and High School According to the Common Core Standards" -- Part 2 of Geometry Progression by H. Wu -- https://math.berkeley.edu/~wu/CCSS-Geometry_1.pdf 
• Achieve the Core - http://www.achievethecore.org/ - Big Shifts documents for Common Core, math coaching helps, and much more information (Jason Zimba is a leader of this project).
• Turn On Common Core Math -- http://www.turnonccmath.com/ -- The site describes the learning trajectories behind the Common Core Standards and provides examples of student work and links to related research.  It includes a link to an interactive hexagon map illustrating learning trajectories in the CCSS.
• Learning Progressions Frameworks (Hess) -- http://www.nciea.org/publications/Math_LPF_KH11.pdf -- A document outlining learning progressions in the Common Core.  This document contains information about the research about what students know, common misconceptions, etc.
• STEM@msu Teacher Resources -- https://www.msu.edu/~stemproj/teaching.html -- resources they have used in professional develop.  These include the "Educators Companion to Measurement in the CCSSM" that outlines a learning/content progression for measurement topics. 
• The Dana Center - The Common Core Toolbox - http://ccsstoolbox.org/ - contains links to sample scope and sequence documents that outline the thoughts of the data center for organization of the standards and number of days to spend on each. 
• Sample CCSS-M pacing developed by math coaches and leaders in the area surrounding Harding STEM Center - Draft 3-8 Curriculum Pace CCSSM26Mar2012.xlsx 

Arkansas CCSSM Resources:

• Arkansas Mathematics Curriculum Frameworks (updated summer 2013) -- http://www.arkansased.gov/divisions/learning-services/curriculum-and-instruction/curriculum-framework-documents/mathematics -- updated to reflect the new standards.  This document contains the standards, the assessment limitations, and whether a standard reflects major, supporting, or additional content.  These are a good place to find a lot of information compiled into one document.

• ADE Secondary Math Wiki -- http://adesecondarymath.pbworks.com/  

• Common Core Math -- It's Elementary -- http://arelementarymath.pbworks.com/ --
  

• ADE Curriculum and Instruction Section CCSS Wiki -- http://ccssarkansas.pbworks.com/w/page/32131061/CCSS%20Arkansas--Crosswalk%20Page

Mathematical Practices Resources:

• Mathematical Practices and Problem Solving Posters
• Math Practices Sheets on PowerPoint slides (includes examples and pictures) 
• Upper Grades -- https://mathprojectsjournal.files.wordpress.com/2014/03/pp-practice-posters-shore.pdf 
• Elementary -- http://elemmath.jordandistrict.org/mathematical-practices-by-standard/ 
• MP Posters OnePerSlide.pptx -- Powerpoint with one MP per slide.  Could be printed one per sheet or as posters for display.
• MP Poster.docx -- Word file with list of MP that could easily be enlarged into a poster.
• Problem Solving Strategies Poster Color.docx -- List of possible problem solving strategies with color background.
• Problem Solving Strategies Poster Greyscale.docx  -- List of possible problem solving strategies with grey-scale background.
• Problem Solving Steps.docx -- Word file with 4 Steps to problem solving that could be enlarged into a poster.
• Mathematical Practices Videos - http://www.insidemathematics.org/index.php/commmon-core-math-intro - Videos at different grade levels illustrating examples of mathematical practices.
• Mathematical Practices Summary PowerPoint -- SMP-8-one-per-slide.pptx  -- used for posters in CCSS workshops.
• Mathematical Practices Questions for Students -- CCSS_8_Practices_questions_for_students.pptx -- Used in CCSS workshops.

Misc. Infromation and Resources for CCSSM:

• Math Common Core Coalition - http://www.mathccc.org/ - a coalition of several mathematical associations developed to provide a pace to review CCSS materials, provide mathematical expertise, and collect information about assessment and implementation.  Both PARCC and SMARTER Balanced assessment coalitions are members.
• Chief Council of State School Officers (CCSSO) Resources -- http://www.ccsso.org/Resources.html -- the CCSSO has provides resources (videos, links, etc.) for CCSSM.  An implementation resources guide can be found by clicking a link at http://www.ccsso.org/Resources/Publications/Common_Core_State_Standards_Implementation_Tools_and_Resources.html This guide contains resources that are developed by the lead writers of the standards.
• National Math + Science Initiative Common Core Open Resources  --- http://www.nms.org/commoncore -- Resources including videos, sample lessons, etc.
• ASCD Common Core Resources -- http://www.ascd.org/public-policy/common-core.aspx#ascd -- contains overview information, professional development resources, and more.  Many ASCD EduCore resources, including the boomerangs Lesson, can be found at http://educore.ascd.org/Resource/Content/92c2e5cf-9d96-4646-a1ff-1019664b76e0 
• NCSM Common Core Resources -- http://www.mathedleadership.org/ccss/index.html 
• The Future Ready Project -- http://www.futurereadyproject.org/ -- Achieve's College- and Career-Ready Advocacy Center -- contains links to a variety of resources (videos, parent guides, etc.) advocating the CCSS. 
• List of CCSS Resources -- Resources6.docx -- This is the list of resources for Common Core put together by Linda Griffith and others.  Some of the resources include places to find sample performance tasks. 
• Professional Development Needs Assessment - http://www.ode.state.or.us/search/page/?id=3513 - This is a link to a page on the Oregon Department of Education website that contains a CCSS needs assessment for each grade.   These are checklists containing the content standards and other topics.   They can be given to teachers to help define the greatest professional development needs for CCSS implementation.
• Consortium for Policy Research in Education (CPRE/CCII)-- http://www.cpre.org/ --  unites researchers from seven of the nation's leading research institutions in an effort to improve elementary and secondary education through practical research.  They have developed some reports (http://www.nciea.org/publications/Math_LPF_KH11.pdf) about learning trajectories in mathematics.

Choosing or Creating Curricular Materials:

• Power Up What Works --  http://powerupwhatworks.org/page-puww/front-page -- contains evidence-based resources on teaching and developing curricular materials.
•  Publishers' Criteria for the Common Core State Standards for Mathematics (Updated April 2013) - These documents were put together by a team including authors of the CCSS-M.  It warn against a "cross-walking" approach to evaluating curriculum's match to the standards and recommends an approach that takes into account focus, coherence, and rigor -- the underlying ideas of the CCSS-M.  This can be a valuable tool for anyone purchasing or writing curricula.
• K-8 -- http://www.corestandards.org/assets/Math_Publishers_Criteria_K-8_Spring%202013_FINAL.pdf 
• High School -- http://www.corestandards.org/assets/Math_Publishers_Criteria_HS_Spring%202013_FINAL.pdf 
• Curriculum Analysis Tool (NCSM) -- http://www.mathedleadership.org/ccss/materials.html -- Tool for analyzing curriculum materials based on the Common Core Standards for Content, the Standards for Mathematical Practice, and overarching issues (equity, technology, etc.).  There are also manuals and descriptions of tools on this site.
• Benchmarks for Choosing a Curriculum Attuned to the Standards for Mathematical Practice -- http://commoncoretools.files.wordpress.com/2011/08/practices-curriculum.pdf
• Tri-state Quality Review Rubric and Rating Process (updated link 4/15/2013)- http://www.achieve.org/EQuIP - The Tri-State Collaborative (composed of educational leaders from Massachusetts, New York, and Rhode Island and facilitated by Achieve) has developed criterion-based rubrics and review processes to evaluate the quality of lessons and units intended to address the Common Core State Standards for Mathematics and ELA/Literacy.  This is not as in-depth and specific as the Curriculum Analysis Tool linked above, but does contain some things that should be considered when choosing any instructional material.

Cards and Sorts of the Standards:

• Alg. 1 Cards of CCSSM tested by PARCC -- CoreStandardsAlg1Cards.docx -- Cards of CCSSM Alg. 1 standards that will be tested by PARCC.  Could be used for sorting standards into units. 
  
• Alg. 2 Cards of CCSSM tested by PARCC -- CoreStandardsAlg2Cards.docx -- Cards of CCSSM Alg. 2 standards that will be tested by PARCC.  Could be used for sorting standards into units.
   
• CCSS Cards -- Updated Jan. 2012 CoreStandardsCards 2012.docx -- All standards in a table in MS Word.  Could be used to print standards cards for sorting and grouping standards.
• Geometry Progression Sort  Geometry Sort.pdf   Geometry Sort ANSWERS.pdf
• Fraction Progression Sort  CCSS Task Sort - Fractions.pdf
• Vocabulary Cards - http://elemmath.jordandistrict.org/vocabulary-cards/ - vocabulary cards for CCSSM posted on the Jordan School District Website.

Resources from other States (elaborations on frameworks and many instructional resources):

• Unpacking the Standards -- http://www.dpi.state.nc.us/acre/standards/common-core-tools/#unmath -- on the North Carolina Website contains a lot of information about what each standards means.  I would not consider this the definitive view of what each standard means, but it does provide insight into many of the standards.  (Be sure you connect the materials in these to the material in the official documents listed above).
  
• Connecticut Department of Education -- http://ctcorestandards.org/ -- resources for teachers, parents and others.  Sample units can be found on this site.
• Oregon Dept. of Ed. - http://www.ode.state.or.us/search/page/?id=2860 - Implementation tool kits for different groups of people - administrators, teachers, students, parents, school boards, etc.
• Ohio ODE - http://www.ode.state.oh.us/GD/Templates/Pages/ODE/ODEDetail.aspx?page=3&TopicRelationID=1704&ContentID=83475 - This page contains many CCSS-M resources including a document on critical area of focus.  An Ohio Model Curriculum (2011) can be found at http://isbe.net/common_core/pdf/ohio_model_curr.pdf 
• Arizona - http://www.azed.gov/standards-practices/mathematics-standards/ - contains many useful documents including examples of the standards for content and practice.
• Georgia - https://www.georgiastandards.org/Common-Core/Pages/Math.aspx - The links on the left of this page will lead to places where materials are available for different grades and units. 
• Illinois -- http://www.ilclassroomsinaction.org/math.html -- the Illinois  State Board of Education Webpage, "Classrooms in Action" contains links to many different math resources.  One of the links is a live binder with sample unit plans using a modified UbD format -- http://www.livebinders.com/play/play?id=953710 
• Kansas -- http://www.ksde.org/Default.aspx?tabid=4792 -- Links to resources for teachers developed in Kansas (they have fully implemented CCSS) and some documents explaining/unpacking the standards. They have standards flip books with standards and explanations for each grade at  http://katm.org/wp/?page_id=91 
• Kentucky Center for Mathematics -- http://www.kentuckymathematics.org/resources/tools.asp -- Links to many tools and resources.
• Missouri -- http://dese.mo.gov/ccr/modelcurriculum.html -- provides information on the CCSS for parents, students, teachers, and community members.  There is a sample curriculum page where you can see progress on their curriculum resources.
• New Jersey Model Curriculum -- http://www.state.nj.us/education/modelcurriculum/math/ -- "The model curriculum is not intended to provide daily learning objectives but rather a sequence of five units of study with accompanying assessments."
• North Carolina -- North Carolina Unpacking the Standards  -- These documents outline in detail what North Carlina believes is the meaning of each standard.  There are documents for many different subjects included here.  Also the North Carolina CCSS Math Wiki, http://maccss.ncdpi.wikispaces.net/ contains many resources for teachers.
• CCSSM Flip-books -- http://katm.org/wp/wp-content/uploads/flipbooks/ -- grade/subject level flipbooks containing information about CCSSM and example problems.
• Indiana - Indiana DOE This website has many different Common Core resources available (videos, CCSS info, etc.).  Indiana DOE Learning Targets Documents These are breakdowns of the standards into specific learning targets that would be helpful with assessment and remediation.  Remember when looking at these that we do want to teach units, not specific targets, so be sure you keep the big picture in mind.  Texbook reviews using NSSM tool ccan be found at http://www.doe.in.gov/achievement/curriculum/mathematics-textbook-reviews-2011.
• Utah - http://www.uen.org/core/math/ - Utah Education Network page.  Includes links icons in the standards for each grade to different resources.  Also has a resources section with resources listed by topic. Elementary Math Resources at http://schools.utah.gov/CURR/mathelem/Core-Curriculum.aspx; High school math resources at http://schools.utah.gov/CURR/mathsec/Core.aspx.