# Grade Level

## 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)

Common Core Implementation Video Series for Mathematics - To aid states as they implement the Common Core State Standards (Standards)in Mathematics, the Hunt Institute and the Council of Chief State School Officers have commissioned a series of 17 videos explaining the Standards in Mathematics in far greater depth.

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

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.

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.

How Much Did the Temperature Drop?

How Do You Write a Check to Pay for Something?

How to Sustain the Development of Formative Assessment Using Teacher Learning Communities - A webinar in which Dylan Wiliam provides inservice on building means to sustain the development of formative assessment.

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.

- Mathematical Practice Standards - Inside Mathematics illuminates the mathematical practice standards with video excerpts of mathematics lessons. Just as with content standards, not every lesson reflects all elements of the individual standards for mathematical practice.
- Public Lessons - These "public lessons" (a term from Lesson Study practices) have been developed by the Noyce Foundation and are taught by practicing teachers and professional developers. These lessons have been extensively field-tested in multiple settings and refined over time, and are generally presented to an audience of participating students and observing teachers. Most draw on learning tasks developed by the Mathematics Assessment Resource Service (MARS).

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

- Accessing children's prior knowledge
- Teaching for Understanding - in an elementary classroom
- Student-centered classroom - Student communication to explain and justify solutions strategies
- Teaching for understanding - Problem solving in Problem-based task

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

Math Flip Books - Kansas Association of Teachers of mathematics created flip books that unpacked the standards and made links between the mathemetical practices and the content of the Common Core Standards. They include instructional strategies and examples for each standard at each grade level.

- Kindergarten Flip Book
- 1th Grade Flip Book
- 2th Grade Flip Book
- 3th Grade Flip Book
- 4th Grade Flip Book
- 5th Grade Flip Book

The Mathematics Common Core Toolbox - A resource site designed to support districts and schools working to meet the challenge and the opportunity of the CCSS. Find tools and instructional materials to help better understand and to implement the CCSS in Mathematics.

The site is broken into the following three sections:

- Standards for Mathematical Practice - This section features Key Visualizations (animations) and Formative Assessment tools and tasks.
- Standards for Mathematical Content - This section features Key Visualizations (animations) that support the CCSS content standards.
- Resources for Implementation - This section features Preparation for Implementation, Studying the Standards, and Sample Scope and Sequence.

Meaningful Distributed Practice (MDP): Describing 2 and 3 D 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.

North Carolina Department of Education - Unpacking the Standards

Practical Techniques for Implementing Formative Assessment - Dylan Wiliam provides inservice on building means to sustain the development of formative assessment.

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 - Tools developed to support implementation of the Common Core State Standards.

Teaching Channel Video: Common Core State Standards for Mathematics

Teacher Evaluation

- Evidence of Iowa Teaching Standards and Criteria in Every Student Counts Classrooms
- For Principals ONLY!
- Picturing the Iowa Teaching Standards in the Mathematics Classroom
- 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.

Understanding Formative Assessment & Why it Needs to Be a Priority for Every School - Learn how formative assessment has been proven to improve teacher effectiveness and student learning—and what this can mean for your school. Dylan Wiliam provides inservice on the need for formative assessment.

Unpacking the Standards in Math - These documents support 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.

What Fraction of Children Are in the Right Car Seat?

## 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.

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)

Common Core Implementation Video Series for Mathematics - To aid states as they implement the Common Core State Standards (Standards)in Mathematics, the Hunt Institute and the Council of Chief State School Officers have commissioned a series of 17 videos explaining the Standards in Mathematics in far greater depth.

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

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.

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.

The Futures Channel - Website consists of multimedia content which educators can use to enliven curriculum, engage students and otherwise enhance the learning experience; it allows teachers to connect mathematics, science, technology and engineering to the real world of careers and achievement, providing a context and purpose for what students are learning, allowing them to envision their own successful futures.

How Can We Correct the Scarecrow?

How Much Does a 100 X 100 In-N-Out Cheeseburger Cost?

How Much Shorter are Staggered Pipe Stacks?

How to Sustain the Development of Formative Assessment Using Teacher Learning Communities - A webinar in which Dylan Wiliam provides inservice on building means to sustain the development of formative assessment.

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.

- Mathematical Practice Standards - Inside Mathematics illuminates the mathematical practice standards with video excerpts of mathematics lessons. Just as with content standards, not every lesson reflects all elements of the individual standards for mathematical practice.
- Public Lessons - These "public lessons" (a term from Lesson Study practices) have been developed by the Noyce Foundation and are taught by practicing teachers and professional developers. These lessons have been extensively field-tested in multiple settings and refined over time, and are generally presented to an audience of participating students and observing teachers. Most draw on learning tasks developed by the Mathematics Assessment Resource Service (MARS).

Iowa Core Mathematics Content Shifts 6-8

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

Math Flip Books - Kansas Association of Teachers of mathematics created flip books that unpacked the standards and made links between the mathemetical practices and the content of the Common Core Standards. They include instructional strategies and examples for each standard at each grade level.

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. Includes Classroom Challenges, Professional Development Modules, and Prototype Summative Assessment Tests.

The Mathematics Common Core Toolbox - A resource site designed to support districts and schools working to meet the challenge and the opportunity of the CCSS. Find tools and instructional materials to help better understand and to implement the CCSS in Mathematics.

The site is broken into the following three sections:

- Standards for Mathematical Practice - This section features Key Visualizations (animations) and Formative Assessment tools and tasks.
- Standards for Mathematical Content - This section features Key Visualizations (animations) that support the CCSS content standards.
- Resources for Implementation - This section features Preparation for Implementation, Studying the Standards, and Sample Scope and Sequence.

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.

North Carolina Department of Education - Unpacking the Standards

Practical Techniques for Implementing Formative Assessment - Dylan Wiliam provides inservice on building means to sustain the development of formative assessment.

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.

Teaching Channel Video: Common Core State Standards for Mathematics

Teacher Evaluation

- Evidence of Iowa Teaching Standards and Criteria in Every Student Counts Classrooms
- For Principals ONLY!
- Picturing the Iowa Teaching Standards in the Mathematics Classroom
- Iowa Teaching Standards and Criteria

Text Messaging

Tools for the Common Core Standards - Tools developed to support implementation of the Common Core State Standards.

Understanding Formative Assessment & Why it Needs to Be a Priority for Every School - Learn how formative assessment has been proven to improve teacher effectiveness and student learning—and what this can mean for your school. Dylan Wiliam provides inservice on the need for formative assessment.

Unpacking the Standards in Math - These documents support 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.

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

- 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)
- The Common Core State Standards for Mathematics in Grades 9-12 (webinar)
- 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

Common Core Implementation Video Series for Mathematics - To aid states as they implement the Common Core State Standards (Standards)in Mathematics, the Hunt Institute and the Council of Chief State School Officers have commissioned a series of 17 videos explaining the Standards in Mathematics in far greater depth.

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

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.

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
- y
- 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

The Futures Channel - Website consists of multimedia content which educators can use to enliven curriculum, engage students and otherwise enhance the learning experience; it allows teachers to connect mathematics, science, technology and engineering to the real world of careers and achievement, providing a context and purpose for what students are learning, allowing them to envision their own successful futures.

How Big is the Bermuda Triangle?

How Can We Correct the Scarecrow?

How Much Does a 100 X 100 In-N-Out Cheeseburger Cost?

How Much Shorter are Staggered Pipe Stacks?

How to Sustain the Development of Formative Assessment Using Teacher Learning Communities - A webinar in which Dylan Wiliam provides inservice on building means to sustain the development of formative assessment.

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.

- Mathematical Practice Standards - Inside Mathematics illuminates the mathematical practice standards with video excerpts of mathematics lessons. Just as with content standards, not every lesson reflects all elements of the individual standards for mathematical practice.
- Public Lessons - These "public lessons" (a term from Lesson Study practices) have been developed by the Noyce Foundation and are taught by practicing teachers and professional developers. These lessons have been extensively field-tested in multiple settings and refined over time, and are generally presented to an audience of participating students and observing teachers. Most draw on learning tasks developed by the Mathematics Assessment Resource Service (MARS).

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. Includes Classroom Challenges, Professional Development Modules, and Prototype Summative Assessment Tests.

The Mathematics Common Core Toolbox - A resource site designed to support districts and schools working to meet the challenge and the opportunity of the CCSS. Find tools and instructional materials to help better understand and to implement the CCSS in Mathematics.

The site is broken into the following three sections:

- Standards for Mathematical Practice - This section features Key Visualizations (animations) and Formative Assessment tools and tasks.
- Standards for Mathematical Content - This section features Key Visualizations (animations) that support the CCSS content standards.
- Resources for Implementation - This section features Preparation for Implementation, Studying the Standards, and Sample Scope and Sequence.

Math Flip Books - Kansas Association of Teachers of mathematics created flip books that unpacked the standards and made links between the mathemetical practices and the content of the Common Core Standards. They include instructional strategies and examples for each standard at each grade level.

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.

Practical Techniques for Implementing Formative Assessment - Dylan Wiliam provides inservice on building means to sustain the development of formative assessment.

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 and Criteria in Every Student Counts Classrooms
- For Principals ONLY!
- Picturing the Iowa Teaching Standards in the Mathematics Classroom
- Iowa Teaching Standards and Criteria

Teaching Channel Video: Common Core State Standards for Mathematics

Text Messaging

Text Messaging Problem: An Application of Systems of Linear Equations

Tools for the Common Core Standards - Tools developed to support implementation of the Common Core State Standards.

Understanding Formative Assessment & Why it Needs to Be a Priority for Every School - Learn how formative assessment has been proven to improve teacher effectiveness and student learning—and what this can mean for your school. Dylan Wiliam provides inservice on the need for formative assessment.

Unpacking the Standards in Math - These documents support 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.