# Grade Level

## Contact(s)

## On this page...

## Elementary School

Achieve the Core - Resources, updates and other CCSS implementation tools.

Bringing the Common Core to Life - Ten video segments of David Colemen talking about the rationale for the structure of the common core curriculum - segment three gives his introduction to the math content standards and segment eight gives the rationale.

Center on Instruction

- Common Core Standards for Mathematics - What, How, When and How about YOU! (webinar)
- Comparing the Common Core State Standards in Mathematics to the Recommendations of the National Mathematics Advisory Panel (brief)
- Focusing on State Standards: The Next Step Toward a Coherent K-12 Experience for All Students (webinar)
- Implementing the Common Core State Standards for Mathematics (webinar)
- Phoenix Rising: Bringing the Common Core State Mathematics Standards to Life (report)

The Common Core in Mathematics: Overview - John B. King, Jr., New York State Commissioner of Education, introduces instructional strategies for successfully implementing the Common Core State Standards in Math. David Coleman, Contributing Author, Common Core State Standards, parallels the three main goals of the Common Core with successful international models and frames the six "shifts" in instruction in mathematics to be examined more thoroughly in following segments.

Common Core State Standards: Implementation Tools and Resources - The Council of Chief State School Officers (CCSSO) developed this list of tools and resources to point states to promising practices and tools to support Common Core State Standards implementation. The document primarily lists resources developed by CCSSO and the lead writers of the standards and is not intended to be a comprehensive list of all resources available.

Common Core State Standards Resources - A collection of resources from Common Core State Standards Initiative.

Common Core Curriculum Templates - Templates for educators to use to map out the Mathematics Common Core State Standards (CCSS). These templates list all of the strands, standard/content statements, domains, and clusters based on the 2010 CCSS. Teachers have found these templates to be useful for creating pacing guides and/or curriculum maps.

Connections to Assessment

- Inside the Black Box: Raising Standards Through Classroom Assessment
- Guide to Every Student Counts (ESC) PowerPoint on Assessment
- Every Student Counts (ESC) PowerPoint on Assessment
- NCTM Research Briefs
- Possible Mathematical Assessment Tasks
- Summative Mathematical Assessment Tasks

Draft Math Progressions - The Common Core State Standards in mathematics were built on progressions: narrative documents describing the progression of a topic across a number of grade levels, informed both by research on children's cognitive development and by the logical structure of mathematics. As they are being fine-tuned, they will be posted on this website.

Evidence of Iowa Teaching Standards in Math Classroom: Observation Sheet Sample

Improving Student Achievement in Mathematics by Leading Effective and Collaborative Teams of Mathematics Teachers - The document is the last one on the page. (document available to NCSM members only)

Inside Mathematics - A professional resource for educators passionate about improving students' mathematics learning and performance. This site features classroom examples of innovative teaching methods and insights into student learning, tools for mathematics instruction that teachers can use immediately, and video tours of the ideas and materials on the site.

Investigating the Standards: Information for Principals - Users must establish an account to access materials. Once an account has been established, click on "Exploring the Iowa Core Through Collaborative Learning Teams," then click on "Investigating The Iowa Core Standards for Principals."

Iowa Core Mathematics Content and Practice Shifts - Grades K-5 - This document highlights shifts in the K-5 school curriculum resulting from adoption of Iowa Core Mathematics by presenting the shifts in contrast to typical practice often observed in elementary mathematics classrooms in the United States. The magnitude of the identified shifts may vary depending on a district’s past enacted curriculum and classroom practice.

Jennifer Johnson

- Problem Based Instruction Task: Accessing children's prior knowledge
- Teaching for Understanding - in an elementary classroom

Key Instruction Shifts of the Common Core State Standards for Mathematics - Provides content emphasis by cluster for each grade level. For each grade level clusters are broken down by major clusters, supporting clusters and additional clusters.

Leadership and Learning Center Webinars - The Leadership and Learning website provides links to several webinars - downloads of audio, video, and handouts. Topics include John Hattie's research on what works best in classrooms and how you can be sure that what you are doing will have the greatest impact on student learning; Doug Reeves on both the latest research and observations about how teachers and administrators can make the most effective use of student data; and how to implement the Common Core standards effectively.

Leadership Role in Creating an Effective Mathematics Classroom: PowerPoint - Be sure to view the information in the notes section of each slide.

Linda Levi

- Video 1: Focus on Questioning
- Video 2: Using Teachers' Questions
- Video 3: Stage 1 - Teacher Centered Classroom
- Video 4: Moving into Stage 2 - Student Answers are Windows to their Thinking
- Video 5: Stage 3 - Questions that Reveal Student Thinking
- Video 6: Student Centered Classrooms Help us Teach for Learner Differences
- Video 7: Teach for Learner Differences - or ALL kids
- Video 8: How Do Students Construct Their Own Knowledge?
- Video 9: Questions that Guide Students as they Construct New Knowledge
- Video 10: Stage 4 - Questioning that Helps Teachers Connect to Students' Understanding

MDP: Describing 2 and 3D Shapes

NCTM: Math Common Core Coalition - This site includes material or links to information and resources that the organizations of the coalition are providing to the public and the education community about the CCSSM.

The New Math Common Core - This is an introduction to the new common core for math. Produced by Anthony Graham for Madison City Schools.

North Carolina Department of Education - Unpacking the Standards

Reflections on Practice: Perimeter and Area Through the Van Hiele Model - (document available to NCTM members only)

Smarter Balanced Assessment Consortium

Symbaloo - Websites and Resources devoted to the Common Core.

Tools for the Common Core Standards - News about tools that are being developed to support implementation of the Common Core State Standards.

Teacher Evaluation

- Evidence of Iowa Teaching Standards in Math Classroom: Observation Sheet Sample
- For Principals ONLY!
- Iowa Teaching Standards and Criteria
- Leadership Role in Creating an Effective Mathematics Classroom: PowerPoint - Be sure to view the information in the notes section of each slide.
- Picturing the Iowa Teaching Standards in the Mathematical Classroom

Unpacking the Standards - Documents support K-12 teachers in their understanding of the common core and essential standards. The unpacking documents demonstrate at a granular level the knowledge and skills students are expected to master at a particular grade.

## Middle School

7th Grade Math Common Core Posters and Wall Cards - A download containing nine (9) color posters with the 7th grade CCSS "Big Ideas", wall cards for all the 7th grade learning objectives, and vocabulary cards for terms used in both the big ideas and in the learning objectives.

Achieve the Core - Resources, updates and other CCSS implementation tools.

Algebra in the Real World - A DVD from The Futures Channel enabling you to show your students the excitement, the power, the range and the results of the applications of algebra in fascinating career fields. From astronomy to forestry, sports equipment design to saving endangered species, alternative energy to farming, algebra is shown in its vital role as the tool that allows us to create, to understand, and to improve our world.

Bringing the Common Core to Life - Ten video segments of David Colemen talking about the rationale for the structure of the common core curriculum - segment three gives his introduction to the math content standards and segment eight gives the rationale.

Center on Instruction

- Common Core Standards for Mathematics - What, How, When and How about YOU! (webinar)
- Comparing the Common Core State Standards in Mathematics to the Recommendations of the National Mathematics Advisory Panel (brief)
- Focusing on State Standards: The Next Step Toward a Coherent K-12 Experience for All Students (webinar)
- Implementing the Common Core State Standards for Mathematics (webinar)
- Phoenix Rising: Bringing the Common Core State Mathematics Standards to Life (report)

The Common Core in Mathematics: Overview - John B. King, Jr., New York State Commissioner of Education, introduces instructional strategies for successfully implementing the Common Core State Standards in Math. David Coleman, Contributing Author, Common Core State Standards, parallels the three main goals of the Common Core with successful international models and frames the six "shifts" in instruction in mathematics to be examined more thoroughly in following segments.

Common Core State Standards: Implementation Tools and Resources - The Council of Chief State School Officers (CCSSO) developed this list of tools and resources to point states to promising practices and tools to support Common Core State Standards implementation. The document primarily lists resources developed by CCSSO and the lead writers of the standards and is not intended to be a comprehensive list of all resources available.

Common Core State Standards Resources - A collection of resources from Common Core State Standards Initiative.

Common Core Curriculum Templates - Templates for educators to use to map out the Mathematics Common Core State Standards (CCSS). These templates list all of the strands, standard/content statements, domains, and clusters based on the 2010 CCSS. Teachers have found these templates to be useful for creating pacing guides and/or curriculum maps.

Connections to Assessment

- Inside the Black Box: Raising Standards Through Classroom Assessment
- Guide to Every Student Counts (ESC) PowerPoint on Assessment
- Every Student Counts (ESC) PowerPoint on Assessment
- NCTM Research Briefs
- Possible Mathematical Assessment Tasks
- Summative Mathematical Assessment Tasks

Draft Math Progressions - The Common Core State Standards in mathematics were built on progressions: narrative documents describing the progression of a topic across a number of grade levels, informed both by research on children's cognitive development and by the logical structure of mathematics. As they are being fine-tuned, they will be posted on this website.

Evidence of Iowa Teaching Standards in Math Classroom: Observation Sheet Sample

Improving Student Achievement in Mathematics by Leading Effective and Collaborative Teams of Mathematics Teachers - The document is the last one on the page. (document available to NCSM members only)

Inside Mathematics - A professional resource for educators passionate about improving students' mathematics learning and performance. This site features classroom examples of innovative teaching methods and insights into student learning, tools for mathematics instruction that teachers can use immediately, and video tours of the ideas and materials on the site.

Investigating the Standards: Information for Principals - Users must establish an account to access materials. Once an account has been established, click on "Exploring the Iowa Core Through Collaborative Learning Teams," then click on "Investigating The Iowa Core Standards for Principals."

Key Instruction Shifts of the Common Core State Standards for Mathematics - Provides content emphasis by cluster for each grade level. For each grade level clusters are broken down by major clusters, supporting clusters and additional clusters.

Leadership and Learning Center Webinars - The Leadership and Learning website provides links to several webinars - downloads of audio, video, and handouts. Topics include John Hattie's research on what works best in classrooms and how you can be sure that what you are doing will have the greatest impact on student learning; Doug Reeves on both the latest research and observations about how teachers and administrators can make the most effective use of student data; and how to implement the Common Core standards effectively.

Leadership Role in Creating an Effective Mathematics Classroom: PowerPoint - Be sure to view the information in the notes section of each slide.

Mary Martensen

- Rigor and Relevance
- Student-Center Classroom
- Teaching for Understanding
- Assessment for Learning
- Setting the Stage for Problem-based Learning
- Teaching for Understanding in a Student-Centered Classroom
- Teaching for Understanding Interview
- Iowa Core Interview

Mathematics Assessment Project - 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.

- Classroom Challenges - Lessons for formative assessment, some focused on developing math concepts, others on non-routine problem solving.
- Professional Development Modules to help teachers with the new pedagogical challenges that formative assessment presents.
- Prototype Summative Assessments 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.

Middle School Math and Science - Quality resources and powerful connections for math and science in the middle grades.

NCTM: Math Common Core Coalition - This site includes material or links to information and resources that the organizations of the coalition are providing to the public and the education community about the CCSSM.

The New Math Common Core - This is an introduction to the new common core for math. Produced by Anthony Graham for Madison City Schools.

North Carolina Department of Education - Unpacking the Standards

Reflections on Practice: Perimeter and Area Through the Van Hiele Model - (document available to NCTM members only)

Smarter Balanced Assessment Consortium

Solving Linear Equations - Multiple Methods and Representations

Symbaloo - Websites and Resources devoted to the Common Core.

Teacher Evaluation

- For Principals ONLY!
- Iowa Teaching Standards and Criteria
- Picturing the Iowa Teaching Standards in the Mathematical Classroom

Text Messaging

Tools for the Common Core Standards - News about tools that are being developed to support implementation of the Common Core State Standards.

Unpacking the Standards - Documents support K-12 teachers in their understanding of the common core and essential standards. The unpacking documents demonstrate at a granular level the knowledge and skills students are expected to master at a particular grade.

## High School

Achieve the Core - Resources, updates and other CCSS implementation tools.

Algebra in the Real World - A DVD from The Futures Channel enabling you to show your students the excitement, the power, the range and the results of the applications of algebra in fascinating career fields. From astronomy to forestry, sports equipment design to saving endangered species, alternative energy to farming, algebra is shown in its vital role as the tool that allows us to create, to understand, and to improve our world.

Analyzing the Functions Recommendations in the Mathematics Iowa Core

Bringing the Common Core to Life - Ten video segments of David Colemen talking about the rationale for the structure of the common core curriculum - segment three gives his introduction to the math content standards and segment eight gives the rationale.

Candy Quality Control

Center on Instruction

- The Common Core State Standards for Mathematics in Grades 9-12 (webinar)
- Common Core Standards for Mathematics - What, How, When and How about YOU! (webinar)
- Comparing the Common Core State Standards in Mathematics to the Recommendations of the National Mathematics Advisory Panel (brief)
- Focusing on State Standards: The Next Step Toward a Coherent K-12 Experience for All Students (webinar)
- Implementing the Common Core State Standards for Mathematics (webinar)
- Phoenix Rising: Bringing the Common Core State Mathematics Standards to Life (report)

Check That Digit

The Common Core in Mathematics: Overview - John B. King, Jr., New York State Commissioner of Education, introduces instructional strategies for successfully implementing the Common Core State Standards in Math. David Coleman, Contributing Author, Common Core State Standards, parallels the three main goals of the Common Core with successful international models and frames the six "shifts" in instruction in mathematics to be examined more thoroughly in following segments.

Common Core State Standards: Implementation Tools and Resources - The Council of Chief State School Officers (CCSSO) developed this list of tools and resources to point states to promising practices and tools to support Common Core State Standards implementation. The document primarily lists resources developed by CCSSO and the lead writers of the standards and is not intended to be a comprehensive list of all resources available.

Common Core State Standards Resources - A collection of resources from Common Core State Standards Initiative.

Common Core Curriculum Templates - Templates for educators to use to map out the Mathematics Common Core State Standards (CCSS). These templates list all of the strands, standard/content statements, domains, and clusters based on the 2010 CCSS. Teachers have found these templates to be useful for creating pacing guides and/or curriculum maps.

A Connected and Coherent Approach to Teaching Algebra: A Functions Approach to Teaching Algebra

Connections to Assessment

- Inside the Black Box: Raising Standards Through Classroom Assessment
- Guide to Every Student Counts (ESC) PowerPoint on Assessment
- Every Student Counts (ESC) PowerPoint on Assessment
- NCTM Research Briefs
- Possible Mathematical Assessment Tasks
- Summative Mathematical Assessment Tasks

Draft Math Progressions - The Common Core State Standards in mathematics were built on progressions: narrative documents describing the progression of a topic across a number of grade levels, informed both by research on children's cognitive development and by the logical structure of mathematics. As they are being fine-tuned, they will be posted on this website.

Factoring Quadratics

- Reflections on Factoring: The Process of Factoring, Factored Form, And Prime Quadratics
- How Many Quadratic Factor?
- Mystery Quadratic
- Which Quadratics to Factor?
- Solving, Graphing, and Factoring Quadratics
- Solving, Graphing, and Factoring Quadratics: Teacher and PD Notes
- Analyzing the Quadratic Formula
- Factoring and Solving Quadratics: A Cluster of Related Tasks - PD Notes

Ferris Wheel

- Riding a Ferris Wheel and Transforming Functions: Student Handout
- Riding a Ferris Wheel and Transforming Functions: Lesson Plan

Evidence of Iowa Teaching Standards in Math Classroom: Observation Sheet Sample

Improving Student Achievement in Mathematics by Leading Effective and Collaborative Teams of Mathematics Teachers - The document is the last one on the page. (document available to NCSM members only)

Inside Mathematics - A professional resource for educators passionate about improving students' mathematics learning and performance. This site features classroom examples of innovative teaching methods and insights into student learning, tools for mathematics instruction that teachers can use immediately, and video tours of the ideas and materials on the site.

Investigating the Standards: Information for Principals - Users must establish an account to access materials. Once an account has been established, click on "Exploring the Iowa Core Through Collaborative Learning Teams," then click on "Investigating The Iowa Core Standards for Principals."

Iowa Core Mathematics Content and Practice Shifts - Grades 9-12 - This document is to highlight potential Content and Practice Shifts in the high school curriculum as presented in the Iowa Core.

Leadership and Learning Center Webinars - The Leadership and Learning website provides links to several webinars - downloads of audio, video, and handouts. Topics include John Hattie's research on what works best in classrooms and how you can be sure that what you are doing will have the greatest impact on student learning; Doug Reeves on both the latest research and observations about how teachers and administrators can make the most effective use of student data; and how to implement the Common Core standards effectively.

Mathematics Assessment Project - 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.

- Classroom Challenges - Lessons for formative assessment, some focused on developing math concepts, others on non-routine problem solving.
- Professional Development Modules to help teachers with the new pedagogical challenges that formative assessment presents.
- Prototype Summative Assessments 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.

Meaningful Distributed Practice Planning: Graphing Linear Equations & Solving Linear Systems

Medicine Dosage

- Medicine Dosage Task
- Medicine Dosage Task Spreadsheet Showing Different Recursive Models
- Explanation of Two Recursive Models for Medicine Dosage Task

Megan Balong/Josh Wilkinson

- Teaching for Understanding
- Student Engagement in a High School Math Classroom
- Using the Characteristic of Effective Instruction in planning a lesson

Logarithms

- Logarithms: Examples of Gentle Gradual Development Through Meaningful Distributed Practice
- Meaningful Distributed Practice-Concept Exponents and Logarithms
- Graphic Logs: Quake Story

NCTM: Math Common Core Coalition - This site includes material or links to information and resources that the organizations of the coalition are providing to the public and the education community about the CCSSM.

The New Math Common Core - This is an introduction to the new common core for math. Produced by Anthony Graham for Madison City Schools.

Proof with Multiple Representaions (Fido Problem)

- Fido Proof Problem
- Proof: Meaningful and as a Problem-Based Instructional Task
- Fido Sketch (.gsp file)

Reflections on Factoring: The Process of Factoring, Factored Form, And Prime Quadratics

Reflections on Practice: Perimeter and Area Through the Van Hiele Model - (document available to NCTM members only)

Resources for Teaching the Iowa Core Additional Standards in High School Mathematics

Sets, Logic, and Internet Searches

Skydiving Math

Smarter Balanced Assessment Consortium

Solving Linear Equations

- Solving Linear Equations: Teacher and PD Notes
- Solving Linear Equations: Student Version
- Solving Linear Equations: Teacher Versions

Solving Linear Equations - Multiple Methods and Representations

Symbaloo - Websites and Resources devoted to the Common Core.

Teacher Evaluation

- Evidence of Iowa Teaching Standards in Math Classroom: Observation Sheet Sample
- For Principals ONLY!
- Iowa Teaching Standards and Criteria
- Picturing the Iowa Teaching Standards in the Mathematical Classroom

Text Messaging

Text Messaging Problem: An Application of Systems of Linear Equations

Tools for the Common Core Standards - News about tools that are being developed to support implementation of the Common Core State Standards.

Unpacking the Standards - Documents support K-12 teachers in their understanding of the common core and essential standards. The unpacking documents demonstrate at a granular level the knowledge and skills students are expected to master at a particular grade.