# Topic

## Contact(s)

## On this page...

## Assessment

### Elementary

Connections to Assessment

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

Formative Assessment

- Assessment for Learning by Margaret Heritage
- Lesson Guide
- Lesson - 14 Legs in a Barn
- Small Group Reflection Questions
- Observation Form
- Problem Based Instruction Task: Accessing children's prior knowledge (Jennifer Johnson video)
- Student Role Cards
- Understanding Formative Assessment & Why it Needs to Be a Priority for Every School with Dylan Wiliam - Learn how formative assessment has been proven to improve teacher effectiveness and student learning—and what this can mean for your school.
- Wiki-Teacher - Create a free account to access Learning Goals (Learning Targets) and Success Criteria (Student-friendly Learning Targets) found under "Unwrap Standards."

### Middle

Assessment for Learning (Mary Martensen video)

Connections to Assessment

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

Formative Assessment

- Assessment for Learning by Margaret Heritage
- Inside the Black Box: Raising Standards Through Classroom Assessment
- Understanding Formative Assessment & Why it Needs to Be a Priority for Every School with Dylan Wiliam - Learn how formative assessment has been proven to improve teacher effectiveness and student learning—and what this can mean for your school.
- Wiki-Teacher - Create a free account to access Learning Goals (Learning Targets) and Success Criteria (Student-friendly Learning Targets) found under "Unwrap Standards."

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.
- 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.

### High

Connections to Assessment

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

Formative Assessment

- Assessment for Learning by Margaret Heritage
- Inside the Black Box: Raising Standards Through Classroom Assessment
- Understanding Formative Assessment & Why it Needs to Be a Priority for Every School with Dylan Wiliam - Learn how formative assessment has been proven to improve teacher effectiveness and student learning—and what this can mean for your school.
- Wiki-Teacher - Create a free account to access Learning Goals (Learning Targets) and Success Criteria (Student-friendly Learning Targets) found under "Unwrap Standards."

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.
- 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.

## Assessment: Smarter Balanced

### Elementary

Smarter Balanced Assessment Consortium

### Middle

Smarter Balanced Assessment Consortium

### High

Smarter Balanced Assessment Consortium

## Cognitively-Guided Instruction

### Elementary

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

**Middle**

**High**

## Common Core Mathematics

### Elementary

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

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 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.

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.

- This document from Rhode Island Department of Education provides information and links for the Common Core Implementation Video Series for Mathematics designed to deepen understanding of the CCSS and garner support for ensuring the success of all students.
- This documents describes each of the 17 mathematics videos and the audience of educators it is targeting.

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.

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.

Instructional Alignment Chart Protocols - The Instructional Alignment Chart (IAC) from the Rhode Island Department of Education is one of the tools that can be used by educators to take a more focused look at the standards and gain insight into appropriate levels of instruction. It will aid in providing a forum for an ongoing collaborative study of the standards.

Investigating the Iowa Core Standards for Principals - Users must establish an account to access materials. Once an account has been established, click on the following links: Exploring the Iowa Core>Investigating the Iowa Core>Investigating the Iowa Core Leadership Resources>Investigating The Iowa Core Standards for Principals.

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 secton 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.

- Kindergarten Flip Book - This is a large file so it may take a few moments to load.
- 1th Grade Flip Book - This is a large file so it may take a few moments to load.
- 2th Grade Flip Book - This is a large file so it may take a few moments to load.
- 3th Grade Flip Book - This is a large file so it may take a few moments to load.
- 4th Grade Flip Book - This is a large file so it may take a few moments to load.
- 5th Grade Flip Book - This is a large file so it may take a few moments to load.

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

Symbaloo - Websites and resources devoted to the Common Core.

### Middle

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

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 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.

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.

- This document from Rhode Island Department of Education provides information and links for the Common Core Implementation Video Series for Mathematics designed to deepen understanding of the CCSS and garner support for ensuring the success of all students.
- This documents describes each of the 17 mathematics videos and the audience of educators it is targeting.

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.

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.

Instructional Alignment Chart Protocols - The Instructional Alignment Chart (IAC) from the Rhode Island Department of Education is one of the tools that can be used by educators to take a more focused look at the standards and gain insight into appropriate levels of instruction. It will aid in providing a forum for an ongoing collaborative study of the standards.

Investigating the Iowa Core Standards for Principals - Users must establish an account to access materials. Once an account has been established, click on the following links: Exploring the Iowa Core>Investigating the Iowa Core>Investigating the Iowa Core Leadership Resources>Investigating The Iowa Core Standards for Principals.

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 secton 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.

- 6th Grade Flip Book - This is a large file so it may take a few moments to load.
- 7th Grade Flip Book - This is a large file so it may take a few moments to load.
- 8th Grade Flip Book - This is a large file so it may take a few moments to load.

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

Symbaloo - Websites and resources devoted to the Common Core.

### High

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

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)

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.

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.

- This document from Rhode Island Department of Education provides information and links for the Common Core Implementation Video Series for Mathematics designed to deepen understanding of the CCSS and garner support for ensuring the success of all students.
- This documents describes each of the 17 mathematics videos and the audience of educators it is targeting.

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.

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.

Instructional Alignment Chart Protocols - The Instructional Alignment Chart (IAC) from the Rhode Island Department of Education is one of the tools that can be used by educators to take a more focused look at the standards and gain insight into appropriate levels of instruction. It will aid in providing a forum for an ongoing collaborative study of the standards.

Investigating the Iowa Core Standards for Principals - Users must establish an account to access materials. Once an account has been established, click on the following links: Exploring the Iowa Core>Investigating the Iowa Core>Investigating the Iowa Core Leadership Resources>Investigating The Iowa Core Standards for Principals.

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 secton 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.

- High School Flip Book - This is a large file so it may take a few moments to load.

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

Symbaloo - Websites and resources devoted to the Common Core.

## Curriculum

### Elementary

Tri-State Quality Review Rubric and Rating Process - The Tri-State Collaborative has developed criterion-based rubrics and review processes to evaluate the quality of lessons and units intended to address the Common Core State Standards for Mathematics.

### Middle

Tri-State Quality Review Rubric and Rating Process - The Tri-State Collaborative has developed criterion-based rubrics and review processes to evaluate the quality of lessons and units intended to address the Common Core State Standards for Mathematics.

### High

Tri-State Quality Review Rubric and Rating Process - The Tri-State Collaborative has developed criterion-based rubrics and review processes to evaluate the quality of lessons and units intended to address the Common Core State Standards for Mathematics.

## English Language Learners

### Elementary

Improving Student Achievement in Mathematics by Addressing the Needs of English Language Learners (document available to NCSM members only)

### Middle

Improving Student Achievement in Mathematics by Addressing the Needs of English Language Learners (document available to NCSM members only)

### High

Improving Student Achievement in Mathematics by Addressing the Needs of English Language Learners (document available to NCSM members only)

## Factoring

### Elementary

### Middle

### High

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

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

## Functions

**Elementary**

### Middle

### High

Analyzing the Functions Recommendations in the Mathematics Iowa Core

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

## Information Processing and the Internet

**Elementary**

**Middle**

### High

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

## Iowa Additional Standards

**Elementary**

**Middle**

### High

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

## Iowa Teaching Standards

### Elementary

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

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

### Middle

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

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

### High

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

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

## Logarithms

**Elementary**

**Middle**

### High

Logarithms: Examples of Gentle Gradual Development Through Meaningful Distributed Practice

Meaningful Distributed Practice-Concept Exponents and Logarithms

## Networks (Vertex-Edge Graphs)

**Elementary**

**Middle**

### High

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

## Professional Learning Teams/Data Teams

### Elementary

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)

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.

### Middle

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)

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.

### High

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)

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.

## Quadratics

### Elementary

### Middle

### High

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

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

## Recursion

### Elementary

### Middle

### High

Medicine Dosage

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

## Shifts in Mathematics Content and Instruction

### Elementary

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.

### Middle

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.

**High**

## Teacher Training

### Elementary

Professional Development Modules to help teachers with the new pedagogical challenges that formative assessment presents from the Mathematics Assessment Project.

### Middle

Professional Development Modules to help teachers with the new pedagogical challenges that formative assessment presents from the Mathematics Assessment Project.

### High

Professional Development Modules to help teachers with the new pedagogical challenges that formative assessment presents from the Mathematics Assessment Project.

## Van Hiele Model

### Elementary

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

### Middle

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

### High

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

## Voting

### Elementary

**Middle**

### High

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