Common Core State Standards for Mathematics

Common Core State Standards for Mathematics
Binder Author: Danielle Seabold | Details | Comments 1

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Common Core State Standards for Mathematics

Tab 0 -- CCSS-M Info

The Common Core State Standards for Math

This site has been developed to keep you up-t0-date in all things concerning the CCSS-M. Here, you'll find information and resources for curriculum, instruction, and assessment under the Common Core in the state of Michigan. If you would like to receive CCSS-M information, updates, resources, and PD announcements automatically, subscribe to the Minds-on-Mathematics blog.

How to use this site: You can navigate through the information and resources on this site by using the tabs at the top. The dark grey tabs identify the main sections of this site

Common Core State Standards Information
Unpacked and Clarified Standards
Mathematical Tasks
electronic-Resources
Unit & Lesson Planning Resources
and more

Click on the dark grey tab you are interested in exploring. You will be taken to the tab's main page. From the tab's main page, you will be able to access all of the light grey sub-tabs.

You can move from tab to tab at any time. Happy hunting! Check back often as new resources are added frequently.

For questions or comments, please contact Danielle Seabold, K-12 Math Consultant at dseabold@kresa.org or 269.250.9227.

Note: to access all of the site's resources, you must use either Firefox or Chrome.

http://www.corestandards.org/

Subtab 0 -- CCSS-M

http://corestandards.org

Subtab 1 -- CCSS-M PDF

http://www.corestandards.org/assets/CCSSI_Math%20Standards.pdf

Subtab 2 -- K-8 required fluencies

http://engageny.org/wp-content/uploads/2011/07/CCSSFluencies.pdf

Subtab 3 -- CCSS-M Videos

Informational videos detailing the creation and focus of the Common Core State Standards

The Hunt Institute has produced some videos featuring the lead writers talking about various aspects of the Common Core State Standards for Mathematics.

/media/frame?myurl=http://www.youtube.com/playlist?list=PLD7F4C7DE7CB3D2E6

Subtab 4 -- CCSS-M HS Math Courses

http://www.corestandards.org/assets/CCSSI_Mathematics_Appendix_A.pdf

Subtab 5 -- Progressions

/media/frame?myurl=http://livebinders.com/media/get/MTUxMjI4Mw==&mid=MTUxMjI4Mw==

Subtab 6 -- Graphical Progressions

http://www.turnonccmath.com/

Subtab 7 -- Progression Documents

http://commoncoretools.wordpress.com/?s=progression

Subtab 8 -- Parent's Guide

http://www.pta.org/common_core_state_standards.asp

Subtab 9 -- CCSS Alignment to ACT's CCR

http://www.act.org/commoncore/pdf/CommonCoreAlignment.pdf

Subtab 10 -- Common Core Resources

http://www.nctm.org/standards/mathcommoncore/

Subtab 11 -- Future Ready Project

http://www.futurereadyproject.org/

Tab 1 -- CCSS-M Unpacked

What do the CCSS-M really mean?

Unpacked and clarified standards: Several states that have adopted the CCSS-M have been working to unpack and clarify the content standards for mathematics. This work represents one of the first few steps necessary to help teachers to plan for and implement the Standards with fidelity. Work from Kentucky, Arizona, North Carolina and Nevada is provided within this section.

Please use these resources with care: Don't just take the examples and resources and plug them into your work. Use them to start conversations with your teaching colleagues to help in developing a deeper understanding of what each of the content standards mean and how they relate to one another.

Essential questions to consider: As you explore the clarifying examples and additional resources, consider the following questions

how does the provided example help to clarify this standard?
which part(s) of the standard is clarified by this example? which part(s) are not?
how could models be used to clarify this standard? pictures? symbols?
how does this example help me to connect this standard to other related standards?

http://www.qualityinstruction.org/common-core-and-formative-assessment-products/common-core-books

Subtab 0 -- Learning Targets

http://www.qualityinstruction.org/common-core-and-formative-assessment-products/common-core-books

Subtab 1 -- KY: Standards with examples

http://www.education.ky.gov/KDE/Instructional+Resources/Curriculum+Documents+and+Resources/Mathematics+Deconstructed+Standards.htm

Subtab 2 -- AZ: Standards with examples

http://www.azed.gov/standards-practices/mathematics-standards/

Subtab 3 -- NC: Standards with examples

http://www.ncpublicschools.org/acre/standards/common-core-tools/#unmath

Subtab 4 -- NV: Standards with examples

http://www.wiki-teacher.com/wikiDevelopment/unwrappedSearch.php

Tab 2 -- Math Tasks

Worthwhile Mathematical Tasks and Why We Need Them

[The Common Core State Standards for Mathematics] define what students should understand and be able to do in their study of mathematics. Asking a student to understand something means asking a teacher to assess whether the student has understood it. But what does mathematical understanding look like? One hallmark of mathematical understanding is the ability to justify, in a way appropriate to the student’s mathematical maturity, why a particular mathematical statement is true or where a mathematical rule comes from.

Mathematical understanding and procedural skill are equally important, and both are assessable using mathematical tasks of sufficient richness (CCSS-M, page 4).

Students must be presented with worthwile mathematical tasks so that they have the opportunity to develop flexible knowledge and skill and so that they can use mathematics to

Make sense of problems and persevere in solving them
Reason abstractly and quantitatively
Construct viable arguments and critique the reasoning of others
Model with mathematic
Use appropriate tools strategically
Attend to precision
Look for and make use of structure
Look for and express regularity in repeated reasoning

A worthwhile mathematical taks is one that

is open-ended
does not have a solution path that is immediately obvious (or implied)
requires students to think and not just rely on memorized procedures
requires students to connect mathematical skill, understanding, and reason
requires students to interpret and communicate results.

Explore this Math Tasks section to discover worthwhile mathematical tasks for the main concepts across K-12 mathematics.

http://insidemathematics.org/index.php/tools-for-teachers

Subtab 0 -- Inside Math

http://insidemathematics.org/index.php/tools-for-teachers

Subtab 1 -- Questioning

https://docs.google.com/viewer?a=v&pid=explorer&chrome=true&srcid=0B19SejfvMU1rMTNkYjcxNDktNGU1NS00NjBjLTlhNzMtYzZlNGU5N2Q4Y2U3&hl=en_US

Subtab 2 -- Illuminations

http://illuminations.nctm.org

Subtab 3 -- Tasks, Rubrics, Student Samples

http://www.exemplars.com/materials/samples/

Subtab 4 -- Illustrative Math

http://illustrativemathematics.org/

Subtab 5 -- Tasks, Rubrics, & Student Work

http://schools.nyc.gov/Academics/CommonCoreLibrary/SeeStudentWork/default.htm

Subtab 6 -- K-8 Tasks

http://www.rda.aps.edu/mathtaskbank/start.htm

Subtab 7 -- Grades 6-12 MAP Tasks

http://map.mathshell.org/materials/tasks.php

Subtab 8 -- 6-12 Problems of the Week

http://mathforum.org/tpow/ti.pow.html

Subtab 9 -- Problems to Ponder

http://www.nctm.org/about/content.aspx?id=26070

Subtab 10 -- 9-12 Reasoning Tasks

http://www.nctm.org/rsmtasks/

Subtab 11 -- Modeling Units

http://www.comap.com/index.html

Subtab 12 -- Dan Meyer: 3 Acts

https://docs.google.com/spreadsheet/ccc?key=0AjIqyKM9d7ZYdEhtR3BJMmdBWnM2YWxWYVM1UWowTEE&hl=en_US#gid=0

Subtab 13 -- 101 Questions

http://www.101qs.com/

Subtab 14 -- Great Tasks: NCSM

http://www.mathedleadership.org/ccss/materials.html

Tab 3 -- eResources

http://www.ccsso.org/documents/2012/common_core_resources.pdf

Subtab 0 -- Illuminations Activities

http://illuminations.nctm.org/ActivitySearch.aspx

Subtab 1 -- K-12 Virtual Manipulatives

http://nlvm.usu.edu/en/nav/vlibrary.html

Subtab 2 -- K-12 eResources

http://nsdl.org/commcore/math

Subtab 3 -- Achieve the Core

http://www.achievethecore.org/

Subtab 4 -- Core Challenge

http://corechallenge.org/

Subtab 5 -- Implementing the Core

http://www.ccsstoolbox.org/

Subtab 6 -- MI Mathematics K-5

http://michiganmathematics.org/

Subtab 7 -- K-5 Teaching Resources

http://www.k-5mathteachingresources.com/

Subtab 8 -- K-5 Geometry

https://sites.google.com/site/geogebraiowa/a-laboratory-guide-for-elementary-geometry-using-geogebra

Subtab 9 -- K-8

http://jonathanwray.com/resources.html

Subtab 10 -- Ken-Ken Puzzles

http://illuminations.nctm.org/ActivityDetail.aspx?id=189

Subtab 11 -- Algebra 4 All

http://a4a.learnport.org/page/algebra-for-all-resources

Subtab 12 -- Games for reasoning

http://mrmeyer.com/blog/wp-content/uploads/401Serra.pdf

Subtab 13 -- PBS LearningMedia

http://www.pbslearningmedia.org/content/#taxonomy=Mathematics

Subtab 14 -- GeoGebra

http://www.geogebra.org/cms/

Subtab 15 -- MI Online Resources for Educators

http://more.mel.org/index.php?P=BrowseResources&FieldId=34&myParentId=7637

Subtab 16 -- Literature with Math

http://sci.tamucc.edu/~eyoung/literature.html

Subtab 17 -- Technology for Teachers

http://www.goedonline.com/101-web-tools-for-teachers

Subtab 18 -- MI Teaching for Learning

http://www.teachingforlearning.org/index.php?P=Home

Subtab 19 -- Blackline Math Masters

http://lrt.ednet.ns.ca/PD/BLM/table_of_contents.htm

Subtab 20 -- Math Templates

http://www.mathwire.com/templates/templatelibrary.html

Subtab 21 -- CCSS Apps

Common Core Apps

General

Common Core State Standards - FREE

This app includes a simple way to view each Common Core standard. A great reference for parents and teachers to easily read and understand the core standards. Quickly find standards by subject, grade, and subject category (domain/cluster). This app currently includes Math standards K-12 and Language Arts standards K-12. [Android App] | [iPhone/Pad App]

Practice Standards Look-fors - $

CCL4s provides an interface for entering observation data as well as access to all the Content Standards for Mathematics K-12 and the ISTE NETS.S. The collected observation data can be shared via email or with our unique built-in instant meeting. The graphs are very interactive and allow observers to merge different observations to compare and contrast different teachers or the same teacher over time. Using the Timeline feature, observers can track the observed Look-fors through time.

Look-for Definition
A 'Look-for' is a classroom observation tool that may be used as a non-evaluative assessment resource. The Look-fors in this peer-observation tool are designed to monitor and assess the extent to which students are engaged in particular elements of the Mathematical practices of the Common Core State Standards for Mathematics (CCSSO, 2010). The tool provides suggested student responses for each of the Mathematical Practices as observational Look-fors. These should be helpful in providing suggestions related to both planning and assessment for teachers, content leaders, and school-based administrators. [iPhone/Pad App]

Elementary

Math Concentration - FREE

This app is brought to you by National Council of Teachers of Mathematics for children in grades PK-5. By yourself or against a friend, match whole numbers, shapes, fractions, or multiplication facts to equivalent representations. Practice with the clear panes or step up the challenge with the windows closed. How many socks can you win? This app is also available as an online activity along with many other free math resources for children. [Android App] | [iPhone/Pad App]

Okta's Rescue - FREE

Oh, no! Okta and his friends need help. Help rescue them by transporting them to a safe ocean. How fast can you transport the Oktas? Use your counting skills to save as many as you can before the timer runs out. This app was developed for children in grades preK–2 by Illuminations. This app is also available as an online activity along with many other free math resources for children. [Android App][ | [iPhone App]

Know your Math Facts - FREE

Know Your Math Facts Free is an educational app to help children memorize addition and subtraction math facts. Two proven teaching strategies are used to help children memorize and quickly recall math facts to aide in preparation for timed tests at school. A math triangle and fact families are used to help children understand the relationship between addition and subtraction and enable children to learn multiple related facts at once making recall easier and quicker. [Android App] | [iPhone/Pad App]

Secondary

High School Math Course Assistant Apps

Each app is custom designed specifically for today's popular courses. Wolfram Course Assistant Apps use an intuitive interface that guides you through the coursework to help you solve problems, not just give you the answers. [iPhone/Pad App]

eNotebook

The first fully functional digital notebook created by teachers for the secondary classroom; the next generation of student notebooks. Read and write over your teacher's class files (.doc, .ppt, etc), transistion from Reader to Writer mode, Drag and Drop file management, never miss another note again! [iPad App]

Graphing Calculator

Looking for a good graphing calculator? There are tons to choose from [iPhone/Pad App]

Math Flyer - $

This app provides a graphing tool that draws on 15 years of experience teaching math concepts to math and science students, Shodor presents this app as the cleanest way to attach meaning to mathematical expressions. For teachers, this is the right way to present graphs of functions so that students truly understand them. For students, this is the best tool to use to really understand the meaning of the parts of a mathematical expression. [iPhone/Pad App]

https://market.android.com/details?id=com.masteryconnect.CommonCore&feature=search_result

Subtab 22 -- Stopwatch & Countdown

http://www.online-stopwatch.com/full-screen-stopwatch/

Subtab 23 -- 9-12 Math Tools

http://www.nctm.org/resources/content.aspx?id=32702

Tab 4 -- Units & Lessons

Model Units, Lessons, and Assessments for the Common Core

Oakland ISD is coordinating the development of model units, lessons, and assessments for each grade level K-11 around the Common Core State Standards for Math (CCSS-M).

Most grade levels contain 8 units of study. As of December 2011, the plan is to have 7-8 units released for each grade level by the end of Summer 2013.

You have full access to the units, lessons, and assessments through the Atlas system viewed on the right.

Directions:

In the filter box, change "by School" to "Common Core".
Change "by Grade" to the grade of your choice (Kindergarten - Grade 11).
Change "by Subject" to "Mathematics"
Click "Browse"

Your search results will provide you with a link to the unit and lesson plans and the assessment.

http://oaklandk12-public.rubiconatlas.org/c/pi/v.php/Atlas/Browse/View/Default

Subtab 0 -- Upcoming Oakland ISD units

Michigan Model Units, Lessons, and Assessments for the Common Core

Oakland Schools is coordinating the development of model units, lessons, and assessments for each grade level K-11 around the Common Core State Standards for Math (CCSS-M).

Most grade levels contain 8 units of study. Curious about the units? Check out the attached planning document.

You can use this document to get insight into the mathematical focus of each of the upcoming units, lessons, and assessments.

/media/frame?myurl=http://www.livebinders.com/media/get/MjAzMTQ3Mw==&mid=MjAzMTQ3Mw==

Subtab 1 -- K-8 Lessons

http://www.mathsolutions.com/index.cfm?page=wp9&crid=56

Subtab 2 -- 1st Grade Lessons

http://engageny.org/resource/math-module-first-grade/

Subtab 3 -- 2nd Grade Lessons

http://engageny.org/resource/math-module-second-grade-place-value/

Subtab 4 -- MS Lessons

http://engageny.org/resource/common-core-exemplar-for-middle-school-math/

Subtab 5 -- HS Lessons

http://engageny.org/resource/common-core-exemplar-for-high-school-math/

Subtab 6 -- Project Lessons

http://westernreservepublicmedia.org/education/guides.htm

Subtab 7 -- Project Based Learning

http://pbl-online.org/default.htm

Subtab 8 -- 6-12 Lessons

http://map.mathshell.org/materials/lessons.php

Subtab 9 -- 7-12 PBL

http://emergentmath.wordpress.com/the-great-inquiry-based-math-curriculum-mapping-project/

Subtab 10 -- 9-12 Modeling Lessons

http://www.comap.com/modelingHB/Form/Math-Modeling-Handbook.pdf

Subtab 11 -- 9-12: Blended Lessons

http://blossoms.mit.edu/videos/topic

Subtab 12 -- Thinking Through a Lesson Protocol

Thinking Through a Lesson Protocol

The Thinking Through a Lesson Protocol (TTLP) was developed to prompt teachers in thinking deeply about a specific lesson that will be based on a cognitively challenging, worthwhile mathematical task.

The TTLP support teachers in focusing their lesson planning around the Standards for Mathematical Practice.

Description of the 3 parts of the TTLP

Planning tool: Part 1

Planning tool: Part 2

Planning tool: Part 3

Tab 5 -- Classroom Videos

http://www.learner.org/series/modules/videos/video_clips.html?type=1&subject=math

Subtab 0 -- Classroom Visits

http://www.insidemathematics.org/index.php/classroom-video-visits

Subtab 1 -- The 8 Practices in classrooms

http://www.insidemathematics.org/index.php/standard-1

Subtab 2 -- Annenberg Learner

http://www.learner.org/resources/browse.html?discipline=5

Tab 6 -- Struggling Learners

http://www.education.vic.gov.au/studentlearning/teachingresources/maths/common/default.htm

Subtab 0 -- Algebra

http://www.ci.hs.iastate.edu/aaims/

Subtab 1 -- Math Reasoning Inventory

https://www.mathreasoninginventory.com/

Subtab 2 -- K-5 Student Misunderstandings

http://www.mathsolutions.com/documents/0210_Ed_Leadership.pdf

Subtab 3 -- Length

http://www.livebinders.com/media/get/MTc1MTcyMQ==

Tab 7 -- Math Leadership

http://minds-on-math.blogspot.com

Subtab 0 -- Agenda for Action - Implementation

http://www.mathismore.net/resources/MovingForward/Agenda.pdf

Subtab 1 -- Elementary Leadership

http://mathspecialists.org/

Subtab 2 -- PD is Key

http://www.nctm.org/about/content.aspx?id=31661

Subtab 3 -- Resources for Leaders

http://hardingmathspecialist.pbworks.com/w/page/27017392/Harding%20University%20Math%20Specialist

Subtab 4 -- Math is More

http://www.mathismore.net/

Subtab 5 -- PD for Grades 6-12

http://map.mathshell.org/materials//pd.php

Subtab 6 -- Math Design Collaborative

http://www.mygroupgenius.org/mathematics

Subtab 7 -- Parents' Guide to 21st Century Learning

http://www.edutopia.org/parent-21st-century-learning-resource-guide

Subtab 8 -- Survey of Enacted Curriculum

http://seconline.wceruw.org/secWebHome.htm

Tab 8 -- Math Textbooks

Tools for Selecting Mathematics Textbooks

The Curriculum Materials Analysis Project has developed 3 tools to support textbook review and adoption committees in gathering evidence to help select math textbooks that are well aligned to all aspects of the Common Core State Standards for Mathematics

Tool 1: Mathematics Content Alignment

Tool 2: Use of Mathematical Practices

Tool 3: General Overarching Considerations

Financial Support for the Curriculum Materials Analysis Tools was provided by

Brookhill Foundation (Kathy Stumpf)
Texas Instruments (through CCSSO)

Benchmarks for choosing a curriculum attuned to the Standards for Mathematical Practice

by Al Cuoco

Subtab 0 -- Criteria

http://engageny.org/wp-content/uploads/2011/12/criteriaresources-math1.pdf

Subtab 1 -- 2011 Math Textbook Reviews

http://www.doe.in.gov/achievement/curriculum/mathematics-textbook-reviews-2011

Tab 9 -- Assessment

The Smarter Balanced Assessment Consortium (SBAC)

The SMARTER Balanced Assessment Consortium (SBAC) is a state-led consortium working to develop next-generation assessments that are aligned to the Common Core State Standards and that accurately measure student progress toward college and career readiness.

Michigan is a member of the Smarter Balanced consortium and is one of the governing states.

http://www.smarterbalanced.org/

Subtab 0 -- Next Generation Assessment Considerations

http://www.pearsonassessments.com/pai/ai/Products/NextGeneration/roadmap.htm

Subtab 1 -- 7-12 Classroom Tests

http://map.mathshell.org/materials//tests.php

Subtab 2 -- 6-12 Formative Assessment Lessons

http://map.mathshell.org/materials//lessons.php

Subtab 3 -- SBAC Assessment Maps

http://www.smarterbalanced.org/smarter-balanced-assessments/

Subtab 4 -- SBAC sample items

Smarter Balanced Assessment Consortium: sample assessment items

Access the file online by clicking this link.

https://docs.google.com/leaf?id=0B19SejfvMU1rNmE1OWY0ZGItNDVhYi00YmQzLTk2NTAtM2NmNjIzODJmM2Nk&hl=en_US

Subtab 5 -- SBAC 8th grade sampler

The Smarter Balanced Assessment Consortium (SBAC)

The Smarter Balanced Assessment Consortium (SBAC) has released an assessment sampler 8th grade. If you're curious about what an entire grade-level assessment might look like, check out this file.

http://www.k12.wa.us/SMARTER/ContentSpecs/MathContentSpecificationsAppendix.pdf

Subtab 6 -- SBAC gr 4-8-12 sample items

http://www.smarterbalanced.org/wordpress/wp-content/uploads/2012/02/DRAFT%20Math%20Item%20Specifications.pdf

Subtab 7 -- Cognitive Rigor Matrix & Info

http://www.nciea.org/beta-site/publication_PDFs/CRM_math-sci_KH11.pdf

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