Mathematics+Resources-Materials

NOTE: This page began as an organized uniformely formated collection of resources. However, it has become a list of any source that has possible value added in the order I discover them. I appreciate your perserverance in looking at several and finding the resources that work for you. Please, contact me if there are particular resources you find valuable and/or if you have other resources that you would like added.

[|Smarter Balanced Practice Tests] aligned to the Common Core State Standards.
The Consortium recently released sets of example test questions for grades 3–8 and 11 in both English language arts/literacy and mathematics. The Practice Tests will help schools prepare for the implementation of the Smarter Balanced Assessment System in the 2014-15 school year.

Resources for Educators on Smarter Balanced Webpage:
Many organizations have developed resources to explain the standards and help teachers support student success in the classroom. Smarter Balanced recently updated the [|Common Core State Standards Tools and Resources webpage] with links to factsheets, videos, and instructional resources that provide detailed information for educators, parents, and policymakers about the new standards. The website includes links to:
 * [|Common Core Overview Videos by the Council of the Great City Schools]
 * [|Instructional resources for teachers from the AFT’s Share My Lesson]
 * [|Teaching Channel videos on the Common Core]
 * [|Parent Roadmaps in English and Spanish from the Council of the Great City Schools]
 * [|Student Achievement Partners’ resources for educators]

Colorado Sample Curriculum
[] Illinois Curriculum Model [] . Visit the America Achieves website to see what’s new.

free digital tool [|EduCore]™ for educators implementing the Common Core State Standards in both mathematics and literacy. The EduCore tool is a repository of evidence-based strategies, videos, and supporting documents that help middle and high school educators transition to the Common Core State Standards.

Videos Dan Meyer "Math Class Needs a Makeover" []

"The Future of Publishing" []

[] Several educators in Utah, with support from the state office of education, are taking matters into their own hands. They're in the early stages of developing a set of e-textbooks for high school math that will be freely available. The authors describe the enterprise, dubbed the [|Mathematics Vision Project], as embracing a "task-based" approach to fostering math proficiency that is closely aligned with the common-core standards. The Florida Department of Education launched a huge Common Core Institute this past summer for all content areas and grade levels (approximately 8000 participants total in four week-long institutes). All materials and videos presentations can be accessed from the following website: []

Just released: The K-8 Publisher's Criteria for CCSSM was released this morning. It is available at: @http://corestandards.org/assets/Math_Publishers_Criteria_K-8_Summer%202012_FINAL.pdf. Criteria for materials supporting implementation of the Common Core are now available at corestandards.org (go to the resources page to download the pdf, here is a [|__direct link__]). They were written by the lead writers of the standards (Phil Daro, myself, and Jason Zimba). There's an article about them by Eric Robelen at [|__Education Week__]. A high school document, along with any revisions to the K–8 document resulting from public feedback, will be released early next year.

The New York State Education Department has developed a teaching tool for educators in the form of a series of sample questions that demonstrate the instructional shifts in the ELA and math Common Core Standards. These samples are also a good resource to aid students and parents in understanding what the new standards will look like in the classroom. The sample questions are available for grades three through eight in both subjects. For each grade level and subject, there are approximately 12 questions, which include multiple choice, short constructed response, and extended constructed response. Read a more detailed overview of this resource and download the samples through NYSED’s website.

These resources may be listed below, however, they are worth repeating:Common Core Tools Blog []Illustrative Mathematics []Progressions []Student AchievementPartners [|http://www.achievethecore.org]Assessemtn Consortium [|http://www.smarterbalanced.org] ** Common Standards released for career and technical education ** Last week, the National Association of State Directors of Career Technical Education Consortium released the [|Common Career Technical Core (CCTC) standards].

[|http://www.betterhighschools.org/webinar/default.aspx#CCRWebinars] The National High School Center hosts Webinars designed to meet the specific needs of our targeted audience, the national network of [|Regional Comprehensive Centers]. Archived versions of these Webinars, as well as related resources, are posted below, so that other education consumers can access materials related to pressing issues in high school

** Kansas State Department of Education collaborates with state association for math teachers on Common Core resources ** The Kansas State Department of Education (KSDE) collaborated with the Kansas Association of Teachers of Mathematics (KATM) to help identify resources, plan professional development, and provide assistance to teachers, administrators, and community members around mathematics instruction. KATM maintains and updates a [|Common Core Mathematics resource page on its website], including __**flipbooks**__ which link the mathematical practices and the content of the Common Core Standards and provide instructional strategies and examples for each mathematical practice standard at each grade level.

http://commoncoreessentials.posterous.com/ link to several targeted resources

Eric Milow has a list of good common core resources at: []

NEW! Mathematics Resources This site is a resource designed to support districts working to meet the challenge and the opportunity of the new standards. Here you will find tools and instructional materials that help you to better understand and to implement the CCSSM. [] ==Illustrative Mathematics == Illustrative Mathematics provides guidance to states, assessment consortia, testing companies, and curriculum developers by illustrating the range and types of mathematical work that students experience in a faithful implementation of the Common Core State Standards, and by publishing other tools that support implementation of the standards. [] = Mathematics Assessment Project =
 * Wisconsin [|reviewed videos on the Teaching Channel aligned some of them to the Standards for Mathematical Practice] []. The description of the aligned videos is available through the department’s Mathematical Literacy website. There is a brief description of what proficiency looks like in each practice and a list of corresponding resources to assist educators in the classroom.  //Turn On CC Math // This website is designed to elaborate the "scientific basis" of learning trajectories research and link to the Common Core State Standards. Unpacked descriptors describe students' movement from naive to sophisticated ideas by identifying bridging standards; underlying cognitive principles; student misconceptions, strategies and inscriptions; and models, related representations and contexts. Also, each learning trajectory includes a diagram that gives a Structural Overview of the standards and descriptors within.Click below to open the Learning Trajectories Hexagon Map of the Common Core Mathematics Standards. Single click to display a single trajectory and its unpacked descriptors or double click on a hexagon go to a single standard.  [] ==[|The Mathematics Common Core Toolbox] ==

Project goals
The project is working to design and develop well-engineered assessment tools to support US schools in implementing the [|Common Core State Standards] for Mathematics (CCSSM). ===Products === <span style="background-color: #ffffff; color: #000000; display: block; font-family: helvetica,arial,sans-serif; font-size: 15px; text-align: left;">Tools for formative and summative assessment that make knowledge and reasoning visible, and help teachers to guide students in how to improve, and monitor their progress. These tools comprise: * <span style="background-color: #ffffff; color: #000000; font-family: helvetica,arial,sans-serif; font-size: 15px;">**Classroom Challenges:** lessons for formative assessment, some focused on developing math concepts, others on non-routine problem solving. <span style="background-color: #ffffff; color: #000000; display: block; font-family: helvetica,arial,sans-serif; font-size: 15px; text-align: left;">The team also contributes to some system capacity building activities within the wider collaboration that the Gates Foundation has assembled, including states and school systems across the US. h[|ttp://map.mathshell.org/materials/index.php] ==**<span style="color: #023065; font-family: Arial,Helvetica,sans-serif;">The Five by Eight Card: **//<span style="color: #023065; font-family: Arial,Helvetica,sans-serif;">A tool for observing //== <span style="background-color: #ffffff; color: #023065; display: block; font-family: arial,helvetica,sans-serif; font-size: 14px; text-align: left;">The 5 x 8 Card was not designed as a teacher evaluation tool. Rather, it is tool that focuses observers’ attention on what students are saying and doing so that their work (their thinking) can be at the center of educators’ discussions. <span style="background-color: #ffffff; color: #023065; display: block; font-family: arial,helvetica,sans-serif; font-size: 14px; text-align: left;">Components of the card are aligned with CCSS-M and promote a framework of equity by asking observers to attend to whether all students in a classroom have appropriate opportunities to development their mathematical understanding. h[|ttp://math.serpmedia.org/tools_5x8.html] ==Links with possible CCS information for alignment guide:== · [] planning for Effective District Implementation and [] professional development modules · [] access to collection of Common Core implementation plans, transition guides, assessment tasks, exemplars and curriculum. · [] : Common Core from Georgia includes professional learning sessions with slides and resource packet · [] curriculum map for each grade level in unit format  · [] created by the Dana Center  · http://academicbenchmarks.org UTAH PACING GUIDES  Here in Utah we have chosen not to provide a statewide pacing guide or scope and sequence. From our perspective, there are just too many variables from district to district. However, there are several large districts (45,000 to 70,000 students) who have done pacing guides based on the CCSSM and correlated to their textbooks as resources. Some are just for sixth grade since that was our first implementation. Look here: [] And here under Curriculum Maps: [] GEORGIA STANDARDS - Course Guides We have provided our mathematics educators with curriculum guides. You can find the grade level and high school course guides at []. Once our framework unit writers have finalized the framework units for each grade level/course in April, we will quickly update our curriculum maps to include suggested time frames for each unit. I hope this information helps. ||
 * <span style="background-color: #ffffff; color: #000000; font-family: helvetica,arial,sans-serif; font-size: 15px;">**Professional Development Modules:** to help teachers with the new pedagogical challenges that formative assessment presents.
 * <span style="background-color: #ffffff; color: #000000; font-family: helvetica,arial,sans-serif; font-size: 15px;">**Summative Assessment Task Collection:** to illustrate the range of performance goals required by CCSSM.
 * <span style="background-color: #ffffff; color: #000000; font-family: helvetica,arial,sans-serif; font-size: 15px;">**Prototype Summative Tests:** designed to help teachers and students monitor their progress, these tests provide a model for examinations that may replace or complement current US tests.
 * Suggested arrangement of the high school math standards into courses now available **

The Bill and Melinda Gates Foundation and the Pearson Foundation funded the development of an arrangement of high school Common Core math standards into courses. Although not the author of the course design work, Bill McCallum [|posted the files on his blog], which serves to share a wide variety of promising mathematics resources to support Common Core implementation. The files provide graphic displays of the arrangement of the standards into both traditional and integrated math course sequences, with an accompanying description of the arrangement.

Unpacking standards
The North Carolina Department of Public Instruction has posted a number of Common Core instructional support tools for teachers, including documents unpacking the standards and graphic organizers to assist teachers in engaging students in the new standards. The unpacking documents demonstrate, at a granular level, the knowledge and skills students are expected to master at a particular grade. The content specific graphic organizers are visual representations to assist the student in organizing abstract “big picture” information that is new, overwhelming or misunderstood in the new standards. [|http://www.dpi.state.nc.us/acre/standards/common-core-tools/#unpacking]

[|Teaching Channel] on its upcoming release of new videos that show the progression of teaching a Common Core standard from introduction to mastery; Doing What Works’ Clearinghouse of resources, including a [|fractions instruction guide for K-8]; and an introduction to the [|Common Core resources on the Center of Instruction’s site], including webinars and teacher guides on Common Core instruction. || ** Special Edition: Center On Instruction Resources for College and Career Ready Standards (including Common Core State Standards) ** States seeking technical assistance with the implementation of college and career-ready standards such as those in the Common Core State Standards (CCSS) need guidance to implement these standards, including specific strategies and interventions to support low-achieving students, English language learners, and students with special needs. COI provides resources that can facilitate (1) planning or strengthening effective instructional programs, (2) supporting the alignment of instruction, (3) providing guidance on using student data to drive instruction, and (4) using instructional practice data to alter strategies in schools that are implementing college and career ready standards.Listed below are a sample of COI’s resources on this topic; for additional resources, click here. For other resources on Literacy, STEM/Mathematics/Science, Special Education, RTI (Response to Intervention), English Language Learning, Early Learning, and eLearning, please visit our website at http://centeroninstruction.org. ** MATHEMATICS STANDARDS ** //Webinar: Common Core State Standards for Mathematics – What, How, When and How about YOU!// This Center on Instruction webinar features Francis (Skip) Fennell, who provides an overview of the Common Core State Standards and the intended impact on the field of mathematics. Read more... //Webinar: The Common Core State Standards for Mathematics in Grades 9-12//. This Center on Instruction webinar provides an overview of the Common Core State Standards in Mathematics in Grades 9-12, with a focus on the mathematical practices. Fred Dillon reviews two models and their accelerated options, describes a reasoning approach to the materials that includes significant math opportunities for all students, and demonstrates different approaches for students with different abilities and the reality of the fourth year mathematics. Read more… //Webinar: Focusing on Mathematics State Standards: The Next Step toward a Coherent K-12 Experience for All Students//. This Center on Instruction webinar discusses the National Council of Teachers of Mathematics (NCTM) PK-8 Curriculum Focal Points and how this new generation of state standards may look different in a post-Focal Point world. Cathy Seeley, former president of NCTM and a major contributor to the creation of the Curriculum Focal Points, also discusses the challenges of bringing focus and coherence from PK-8 to high school and what changes may be necessary as attention is shifted toward a more robust PK-12 experience for all students to be ready for college and the workplace. Read more… //Webinar: Implementing the Common Core State Standards for Mathematics.// With an eye toward college and career readiness for all students and drawing on the principles of Response to Intervention, t his webinar which the Center on Instruction co-sponsored with the Northwest Regional Comprehensive Center and the Alaska Comprehensive Center, focuses on recommended changes in curriculum, instruction, and programmatic support and shared resources, strategies, and timelines for a sensible implementation plan. This is one of a series of webinars especially designed to assist rural school staff with implementation of their School Improvement Grants (SIG). Read more... // Phoenix Rising: Bringing the Common Core Mathematics Standards to Life .// In the Fall 2011 edition of //American Educator//, Hung-si Wu describes the potential of the Common Core State Standards in Mathematics, making a case for why these are important and why efforts need to be expended in ensuring that the standards are implemented. Read more… //Comparing the Common Core State Standards in Mathematics to the Recommendations of the National Mathematics Advisory Panel//. This ACHIEVE brief describes the comparison between the Common Core State Standards and the National Mathematics Advisory Panel's (NMAP) recommendations found in Foundation for Success. Read more… //Common Core State Standards for Mathematics – Appendix A: Designing High School Mathematics Courses Based on the Common Core State Standards// . This document helps states think about how the high school Common Core State Standards might be organized into four Model Course Pathways in Mathematics that provide college and career readiness. Read more…

** Please visit our website at ** [|**http://centeroninstruction.org**] ** to find other relevant resources that can be downloaded FREE. ** ** Follow us via **** [|RSS] **** feed now! ** You can now access our COI resources by subscribing to our RSS feeds for each content area. To sign up for any or all of the RSS feeds or our email listserv, click [|here]. You can also subscribe by going to our website at [|http://centeroninstruction.org]  and clicking on the orange RSS Feed button in the gray bar at the top of the page. The Center on Instruction is one of five content centers to support the regional comprehensive centers in providing technical assistance to SEAs and districts/schools in need of improvement. The goal of COI is to supply much of the research-based information, products, guidance, analyses, and knowledge on key topics related to the Elementary and Secondary Education Act (ESEA) to the 16 Regional Comprehensive Centers for their work with states and districts. Center on Instruction, Angela Penfold, Project Director RMC Research Corporation 1000 Market St., Bldg. 2, Portsmouth NH 03801603-422-8888, 800-258-0802 Fax 603-436-9166Email: COI-info@rmcres.com Website: http://www.centeroninstruction. org

**Vocabulary lists**
Indiana's Model Curriculum includes vocabulary. [] [|North Dakota has an external link with resources including grade level vocabulary.] North Dakota inlcudes vocabulary lists and other components in their Common Core Initiative. []

An excellent presentation by Jere Confrey: Joseph D. Moore Distinguished University Professor, The Friday Institute for Educational Innovation, College of Education. North Carolina State University

The nonprofit Student Achievement Partners, which is developing high-quality resources for educators implementing the Common Core and making them freely available online at: [].

<span style="color: black; font-family: arial,sans-serif; font-size: 16px;"> <span style="font-family: calibri,sans-serif; font-size: 15px;">Jordan School District in Utah did create posters for the mathematical practices. They don’t have them for each grade level. These are specifically for 6 <span style="font-family: Calibri,sans-serif;">th <span style="font-family: calibri,sans-serif; font-size: 15px;"> grade: @http://departments.jordandistrict.org/curriculum/mathematics/elementary/CCSSM6/SMPposters.pdf
 * Posters for Mathematical Practices**

[] []
 * Resources from Middle School District**
 * Resources from a Secondary School District**


 * Math Education Organization Form Common Core Coalition:** [|www.mathccc.org] will include materials and links to information and resources that the organizations of the coalition are providing to the public and the education community about CCSSM. Organizations: National Council of Teachers of Mathematics (NCTM), the National Council of Supervisors of Mathematics (NCSM), the Association of Mathematics Teacher Educators (AMTE), the Association of State Supervisors of Mathematics (ASSM), the Council of Chief State School Officers (CCSSO), the SMARTER Balanced Assessment Consortium (SBAC), and the Partnership for the Assessment of Readiness for College and Careers (PARCC).


 * NCSM's** **Great Tasks:** address specific standards and mathematical practice: []

NCSM Webinar [|www.mathleadership.org/events/webinars.html]

 * ==**New Resources for Illustrating the Mathematical Practices**==
 * Presented by:**Suzanne Mitchell, NCSM PresidentValerie Mills, NCSM President-Elect**Sponsored by:** Carnegie Learning, Inc.Replay the webinar (length: 60 minutes)[|Slides] || New resources for classroom-based professional development will be previewed that support the Standards for Mathematical Practice. The K-12 professional development modules will utilize video, student work, and instructional best practices. ||

[] []
 * Education Northwest** – administrator, teacher and parent guides:
 * Videos**
 * Hunt Institute Channel**: [|http://www.youtube.com/user/TheHuntInstitute#g/u]
 * Hunt Institute** videos **__not__** on You Tube: []
 * Inside Mathematics:** []
 * Doug Clements on Learning Tr****ajectories**: []


 * Projects **
 * Interactive Annotated Student Work:** []
 * Mathematics Assessment Project:** [] The project is working to design and develop well-engineered assessment tools to support US schools in implementing the CCSS.
 * The Illustrative Mathematics Project ** : __http://illustrativemathematics.org__This project is collecting sample tasks and problems for the Common Core in mathematics. It also has a hyperlinked version of the standards: [].
 * Inside Mathematics ** : __http://www.insidemathematics.org__A professional resource for educators that features [|classroom examples] of innovative teaching methods, insights into student learning, and [|tools for mathematics instruction] which are being aligned to the Common Core.

[] Wireless Generation **Learning Trajectory Posters** (for purchase): []
 * Progressions in Mathematics **
 * Draft Papers from CCSS authors: **__ http://ime.math.arizona.edu/progressions/# __ The authors of the Common Core State Standards in Mathematics are releasing draft papers that provide in-depth discussion of the domain progressions across grades, highlight connections across domains, elaborate on the learning expectations for students, and provide instructional suggestions.
 * K–5 Progression on Number and Operations in Base Ten :** __ @http://commoncoretools.files.wordpress.com/2011/04/ccss_progression_nbt_2011_04_073.pdf __
 * K–5 Progression on Counting and Cardinality and Operations and Algebraic Thinking :** __@http://commoncoretools.files.wordpress.com/2011/05/ccss_progression_cc_oa_k5_2011_05_302.pdf__
 * Grade 6–8 Progression on Expressions and Equations :** []


 * Grade 4-12 Progression on Geometry :**

// **Learning Trajectories in Mathematics:** A Foundation for Standards, Curriculum, Assessment, and Instruction // by Phil Daro, Frederic A. Mosher, and Tom Corcoran. Consortium for Policy Research in Education (CPRE research report RR-68, 2011) __@http://www.cpre.org/images/stories/cpre_pdfs/learning%20trajectories%20in%20math_ccii%20report.pdf__
 * A report on learning trajectories** and CCSS: []
 * Learning Progressions** by Karin Hess []
 * Mathematical Practice **
 * EDC Think Math Information Exchange: **__ @http://thinkmath.edc.org/index.php/CCSS_Mathematical_Practices __ This is an open-source, active, growing, free resource, serving K-8 education communities. This link takes you directly to the discussion of the Standards for Mathematical Practices in elementary school with easy to grasp explanations and examples. The full site also provides useful information and materials for the K-8 math teaching community.
 * Mathematical Practices Diagram ** : __@http://commoncoretools.files.wordpress.com/2011/03/practices.pdf__ This graphic shows a higher-order structure for the eight Standards for Mathematical Practice.
 * Standards of Student Practice in Mathematics Proficiency Matrix: ** __[|http://www.mathleadership.com/sitebuildercontent/sitebuilderfiles/standardsoftudentpraciceinmathematicsproficiencymatrix.pdf]__ This document is a tool for considering student proficiency of the Standards for Mathematical Practice from initial to intermediate to advanced performance.


 * Mathematics Content Standards **
 * Domains and Clusters by Grade Bands ** : __@http://coedpages.uncc.edu/abpolly/math/core/broad-overview.pdf__This Grades K-8 document lists the clusters by domain across grade bands in a continuum format.
 * Unpacking the Common Core Mathematics Standards ** : @http://elemath.pbworks.com/w/page/36737812/Unpacking

American Educators, Fall 2011 //** Parents’ Guide to Student Success :**// These grade-by-grade guides are a resource for parents, explaining what their children should be learning at a given grade level in Mathematics and English Language Arts & Literacy based on the Common Core State Standards. (Available in English and in Spanish) __http://www.PTA.org/parentsguide__ Freudenthal Institute US for Mathematics Education, //**Realistic Mathematics Education Conference**// []
 * Documents and Resources Supporting Standards **
 * Partnership for 21st Century Skills ** released a P21 Common Core Toolkit: A Guide to Aligning the Common Core State Standards with the Framework for 21st Century Skills.[]
 * RTI Math, IES Practice Guide:** []
 * // Developing Effective Fractions Instruction for Kindergarten Through 8th Grade //**// by // Robert Siegler, Thomas Carpenter, Francis (Skip) Fennell, David Geary, James Lewis, Yukari Okamoto, Laurie Thompson, and Jonathan Wray Washington, DC: National Center for Education Evaluation and Regional Assistance, Institute of Education Sciences, U.S. Department of Education (IES Practice Guides, NCEE #2010-4039).__@http://ies.ed.gov/ncee/wwc/pdf/practiceguides/fractions_pg_093010.pdf__
 * English Language Learners** and CCSS: [|http://www.swcompcenter.org]
 * Building the Language of Mathematics for Students ** : __@http://coedpages.uncc.edu/abpolly/math/core/core-vocab.pdf__ Mathematics is a language that must be meaningful if students are to communicate mathematically and apply mathematics productively. Students need to be immersed in mathematical language as they experience rich high-level tasks. This resource suggests key mathematical language for each of the K-5 Common Core domains.

**Institute for Advanced Study/Park City Mathematics Institute:** RUBRIC – IMPLEMENTING STANDARDS FOR MATHEMATICAL PRACTICE [[file:rubric.pdf]]

 * Presentations **
 * Mathematics Common Core State Standards ** (Phil Daro, NCCTM, 2010)__@http://ncctm.org/documents/Daro-CommonCoreStandards.pdf__
 * The Common Core: Where do we go from here? ** (William McCallum, April 2011)@http://commoncoretools.files.wordpress.com/2011/04/2011_04_15_nctm_ccss.pdf
 * The Common Core State Standards in Mathematics ** (William McCallum, April 2011) @http://commoncoretools.files.wordpress.com/2011/04/2011_04_11_ncsm.pdf


 * Blogs **
 * Tools for the Common Core Standards ** : __http://commoncoretools.wordpress.com__ This blog by Bill McCallum, one of the lead authors of the //Common Core State Standards for Mathematics// shares news about tools that are being developed to support implementation of the common core.
 * Tad Watanabe-Georgia Performance Standards ** : __http://mathgpselaboration.blogspot.com__ This blog by Tad Watanabe provides an interpretation and elaboration of the Common Core State Standards adopted in Georgia.
 * Sine of the Times ** : __http://blog.keypress.com__ The blog authors discuss current issues and topics
 * Co-Creating Solutions ** : __@http://ctlonline.org/blog/?tag=mathematics__