2017 Developing Coherence in Middle School Mathematics

High Point, NC - July 18, 2017

Coherence is defined as the quality of being logical, consistent, and forming a unified whole. Making coherent connections guides how, what, and when mathematical concepts and skills are taught. This makes coherence the cornerstone of any math program whose goal is to produce mathematically proficient students. This session will explore coherence in middle school mathematics.

This session focused on recognizing the importance of viewing teachers as a system of continuous improvement and how the structures of PLCs can be created to improve efficiency and effectiveness.

Regions 7&8 - May 10, 2017 (Morganton, NC) Regions 5&6 - May 22, 2017 (Asheboro, NC) Regions 3&4 - May 25, 2017 (Raleigh, NC) Regions 1&2 - May 26, 2017 (Kinston, NC)

This one day session focuses on the progression through the revised high school standards and creating productive mathematical discourse through an in depth study of a task.

Sessions: 209. What is Your Math Identity? Reconsidering Equity-Based Practices This session will have participants reflect on their own mathematical identities and examine how drawing from their own experiences can benefit students in developing positive mathematical identities. The session will explore five equity-based mathematics teaching practices that can help students maximize their learning potential.

405. Developing Functions through Proportional Reasoning In this session we will discuss how the concept of functions is developed through proportional reasoning in 6th and 7th grade.

505. It’s a M.A.D., M.A.D., M.A.D. World!! The world around us is full of data. Deep understanding of statistical thinking begins in middle school. Participants will take a deep dive into the 6th-7th grade progression of MS statistics and how it supports HS level statistics and beyond. The purpose of this session is to help teachers develop a deep understanding of statistical thinking as it relates to the statistical process in middle grades mathematics. Statistical thinking is quite different from mathematical thinking. The idea of using data to answer a statistical question appears to be a simple concept, however it requires a great deal of thought and effort to examine statistical data to make inferences about a larger population. These inferences are largely based on patterns in the data; however, it should be done considering variation in the data. An intuitive examination of the data can help students develop an understanding of variability and inference before applying more advanced statistical calculation. This session is designed to help middle grade teachers understand the overall statistical process and how establishing a firm understanding in middle grades can help students to be better consumers of information and how they can use that information to make decisions.

Regions 5&6 - October 18, 2016 (Asheboro, NC) Regions 7&8 - November 2, 2016 (Lenoir, NC) Regions 3&4 - November 7, 2016 (Raleigh, NC) Regions 1&2 - November 10, 2016 (Kinston, NC)

This one day session focuses on the progression through the revised high school standards and creating productive mathematical discourse through an in depth study of a task.

Region 2 - Coherence in Secondary Mathematics: 8 Proportional Reasoning and Functions

March 15, 2016

Professional Development

This one-day workshop examined the progression of standards across secondary mathematics that support number sense and conceptual understanding. Using the books Building Proportional Reasoning, NCTM's Principles to Actions, tasks from Illustrative Mathematics and other resources on proportional reasoning and functions participants explored the teaching Practices that support effective teaching and learning through a coherent progression from proportional reasoning to functions.

This session will focus on building coherence of the Ratios and Proportional Relationships domain. We will examine how the middle school concepts of Rates, Ratios and Proportional Reasoning are built from Measurements, Operations, Fractions, and Algebraic Thinking in elementary and provides a foundation for Algebra, Functions and Geometry in high school. Expressions and Equations: The Building Blocks to Algebra & Functions This session will focus on building coherence of the Expressions and Equations domain. We will examine how the middle school concepts of Expressions and Equations are built from Operations and Algebraic Thinking in elementary and provides a foundation for Algebra & Functions in high school.

Region 2 - Coherence in Secondary Mathematics: Expressions and Equations, The Building Blocks to Algebra

February 25, 2016

Professional Development

This one-day workshop examined the progression of standards across secondary mathematics that support Expressions and Equations for middle school mathematics and how it provides a foundation for Algebra & Functions in high school. Additionally, the session highlighted the standards for mathematical practice and how teachers can support student learning through the lens of the mathematical teaching standards.

Region 2 - Coherence in Secondary Mathematics: 6-7 Ratio, Rate and Proportional Reasoning

January 20, 2016

Professional Development

This one-day workshop examined the progression of standards across secondary mathematics that support number sense and conceptual understanding. Using the books Building Proportional Reasoning, NCTM's Principles to Actions, tasks from Illustrative Mathematics and other resources on proportional reasoning participants explored the teaching Practices that support effective teaching and learning through a coherent progression from fraction division to proportional reasoning.

This one-day workshop will examine the progression of standards across secondary mathematics that support number sense, conceptual understanding and foundations for algebraic reasoning in 8th grade and Math 1. Using NCTM’s Principles to Actions, participants will explore the Mathematical Teaching Practices that support effective Teaching and Learning and develop student proficiency with the Standards for Mathematical Practice.

Every year the secondary math team of NCDPI presents a session at the annual state conference on current trends in mathematics education as well as updates on mathematics in the state of North Carolina. This year, we invited co-presenters from school districts in North Carolina as we presented tasks that support the Teaching and Learning principle in NCTM's recently released publication titled Principles to Actions.

This PD will focuses on NCTM's publication "Principles to Actions: Ensuring Mathematics Success for All." Participants will learn about the actions required to ensure that all students learn to become mathematical thinkers and are prepared for any academic career or professional path that they choose. Principles to Actions, sets forth a set of strongly recommended, research-informed actions for all teachers, coaches, and specialist in mathematics.

Expressions and Equations: The Building Blocks to Algebra

Session Description:

This session will focus on the learning progression within Expressions and Equations for middle school mathematics and how it provides a foundation for Algebra & Functions in high school. Additionally, the session will highlight the standards for mathematical practice and how teachers can support student learning through the lens of the mathematical teaching standards.

This PD will focuses on NCTM's publication "Principles to Actions: Ensuring Mathematics Success for All." Participants will learn about the actions required to ensure that all students learn to become mathematical thinkers and are prepared for any academic career or professional path that they choose. Principles to Actions, sets forth a set of strongly recommended, research-informed actions for all teachers, coaches, and specialist in mathematics.

The EQuIP (Educators Evaluating the Quality of Instructional Products) rubric is a tool designed to identify high-quality materials aligned to the Common Core State Standards (CCSS). The objectives of the training are two-fold: • Increase the number of high quality lessons and units aligned to the CCSS • Build the capacity of educators to evaluate and improve the quality of instructional materials for use in their classrooms and schools This session will allow participants an opportunity to learn and use the rubric so that they can implement in their schools and districts

"Creating Active Thinkers"In the mathematics world we are all about providing strategies teachers can utilize to increase student's complex thinking and the development of the Mathematical Practices. To develop these develop 21st century skills, we must move beyond the traditional teaching model. Join us forCreating Active Thinkers, on the "How To" journey to promote change in mathematics instruction. Objectives:

Provide strategies teachers can utilize to increase students’ complex level thinking.

Connect the Strategies for a Thoughtful Classroom to the Standards for Mathematical Practice.

Learner Outcomes:

Through the development of thoughtful classrooms aligned to the Standards of Mathematical Practice, educators will understand and promote complex level thinking in students.

## 2017 Developing Coherence in Middle School Mathematics

High Point, NC - July 18, 2017Coherence is defined as the quality of being logical, consistent, and forming a unified whole. Making coherent connections guides how, what, and when mathematical concepts and skills are taught. This makes coherence the cornerstone of any math program whose goal is to produce mathematically proficient students. This session will explore coherence in middle school mathematics.

## 2017 Building Communities of Practice

## Plymouth NC - June 22, 2017

## Raleigh NC - July 11, 2017

This session focused on recognizing the importance of viewing teachers as a system of continuous improvement and how the structures of PLCs can be created to improve efficiency and effectiveness.

Building Communities of Practice - Raleigh

## 2017 High School Regional Sessions (Spring 2017)

Regions 7&8 - May 10, 2017 (Morganton, NC)Regions 5&6 - May 22, 2017 (Asheboro, NC)Regions 3&4 - May 25, 2017 (Raleigh, NC)Regions 1&2 - May 26, 2017 (Kinston, NC)This one day session focuses on the progression through the revised high school standards and creating productive mathematical discourse through an in depth study of a task.

## 2017 NCMLE Conference (Greensboro NC)

March 6, 2017Sessions:209.What is Your Math Identity? Reconsidering Equity-Based PracticesThis session will have participants reflect on their own mathematical identities and examine how drawing from their own experiences can benefit students in developing positive mathematical identities. The session will explore five equity-based mathematics teaching practices that can help students maximize their learning potential.

405. Developing Functions through Proportional ReasoningIn this session we will discuss how the concept of functions is developed through proportional reasoning in 6th and 7th grade.

505.It’s a M.A.D., M.A.D., M.A.D. World!!The world around us is full of data. Deep understanding of statistical thinking begins in middle school. Participants will take a deep dive into the 6th-7th grade progression of MS statistics and how it supports HS level statistics and beyond. The purpose of this session is to help teachers develop a deep understanding of statistical thinking as it relates to the statistical process in middle grades mathematics. Statistical thinking is quite different from mathematical thinking. The idea of using data to answer a statistical question appears to be a simple concept, however it requires a great deal of thought and effort to examine statistical data to make inferences about a larger population. These inferences are largely based on patterns in the data; however, it should be done considering variation in the data. An intuitive examination of the data can help students develop an understanding of variability and inference before applying more advanced statistical calculation. This session is designed to help middle grade teachers understand the overall statistical process and how establishing a firm understanding in middle grades can help students to be better consumers of information and how they can use that information to make decisions.

Session Material:209. What is Your Math Identity?

405. Developing Functions through Proportional Reasoning

505. It's a M.A.D., M.A.D., M.A.D. World!

## 2017 High School Math Summit (Greensboro, NC)

January 31 - 2017This summit for all districts in North Carolina, focused on content area discussions and the goals of the creation and purpose of the NCCML.

Content Sessions:Quadratic Functions

Statistics and Probability

Trigonometric Functions

## 2016 High School Regional Sessions (Fall 2016)

Regions 5&6 - October 18, 2016 (Asheboro, NC)Regions 7&8 - November 2, 2016 (Lenoir, NC)Regions 3&4 - November 7, 2016 (Raleigh, NC)Regions 1&2 - November 10, 2016 (Kinston, NC)This one day session focuses on the progression through the revised high school standards and creating productive mathematical discourse through an in depth study of a task.

## 2016 Summer Information Sessions - Revised High School Math Standards

June 20 - July 26, 2016This one-day session reviews the revisions to the courses NC Math 1, NC Math 2, and NC Math 3

Region 2 - Coherence in Secondary Mathematics: 8 Proportional Reasoning and Functions## March 15, 2016

## Professional Development

This one-day workshop examined the progression of standards across secondary mathematics that support number sense and conceptual understanding. Using the books Building Proportional Reasoning, NCTM's Principles to Actions, tasks from Illustrative Mathematics and other resources on proportional reasoning and functions participants explored the teaching Practices that support effective teaching and learning through a coherent progression from proportional reasoning to functions.Ratios to Functions PresentationSession Resources:Note-taking Guide

Scalar vs. Functional Venn Diagram

Ratios, Proportions and Functions Coherence Charts

Functions Tasks 1-3 from Illustrative Mathematics

Functions Tasks 4-5 from Illustrative Mathematics

## 2016 NCMLE Conference, Greensboro NC

## March 7, 2016

## Conference Presentations

This session will focus on building coherence of the Ratios and Proportional Relationships domain. We will examine how the middle school concepts of Rates, Ratios and Proportional Reasoning are built from Measurements, Operations, Fractions, and Algebraic Thinking in elementary and provides a foundation for Algebra, Functions and Geometry in high school.Rates, Ratios and Proportional ReasoningExpressions and Equations: The Building Blocks to Algebra & FunctionsThis session will focus on building coherence of the Expressions and Equations domain. We will examine how the middle school concepts of Expressions and Equations are built from Operations and Algebraic Thinking in elementary and provides a foundation for Algebra & Functions in high school.

Rates, Ratios and Proportional Reasoning PresentationSession Resources:Note-taking Guide

Group Work - Time to Bake Task

Scalar vs. Functional Venn Diagram

Ratios, Proportions and Functions Coherence Charts

Expressions & Equations: Building Blocks to Algebra PresentationSession Resources:Expressions Sort Cards

Expressions & Equations and Functions Coherence Charts

Small Math Tasks

Comparing Instructional Tasks

Region 2 - Coherence in Secondary Mathematics: Expressions and Equations, The Building Blocks to Algebra## February 25, 2016

## Professional Development

This one-day workshop examined the progression of standards across secondary mathematics that support Expressions and Equations for middle school mathematics and how it provides a foundation for Algebra & Functions in high school. Additionally, the session highlighted the standards for mathematical practice and how teachers can support student learning through the lens of the mathematical teaching standards.ResourcesEE Agenda

Expressions Sort Cards

5th-Math I EE and Function Standards

Vertical Alignment Chart

MAP - Interpreting Expressions Formative Assessment Lesson

Perimeter Task and Hexagon Trains Task

Playlist Group Cards

Small Task for 6-8 Expressions and Equations (Same as Playlist)

Functions Coherence Map

Region 2 - Coherence in Secondary Mathematics: 6-7 Ratio, Rate and Proportional Reasoning## January 20, 2016

## Professional Development

This one-day workshop examined the progression of standards across secondary mathematics that support number sense and conceptual understanding. Using the books Building Proportional Reasoning, NCTM's Principles to Actions, tasks from Illustrative Mathematics and other resources on proportional reasoning participants explored the teaching Practices that support effective teaching and learning through a coherent progression from fraction division to proportional reasoning.ResourcesCoherence Maps

Fraction Division Note-taking Guide

Math Assessment Project-Formative Assessment Lesson: Interpreting Multiplication and Division

Fractions, Ratios and Rates Note-taking Guide

Always, Sometimes, Never (Ratio) template and cards

Always, Sometimes, Never Facilitator Notes

6th Grade RP Standards

7th Grade RP Standards

Proportional Reasoning Group Problem

Venn Diagram (Functional vs. Scalar)

Region 1 - Coherence in Secondary Mathematics## November 10, 2015

## 2015 Fall Professional Development

This one-day workshop will examine the progression of standards across secondary mathematics that support number sense, conceptual understanding and foundations for algebraic reasoning in 8th grade and Math 1. Using NCTM’s Principles to Actions, participants will explore the Mathematical Teaching Practices that support effective Teaching and Learning and develop student proficiency with the Standards for Mathematical Practice.ResourcesCoherence in Fractions Standards (3rd - 7th Grade)

Math Assessment Project-Formative Assessment Lesson: Interpreting Multiplication and Division

Fractions vs. Ratios AND Functional Vs. Scalar Venn Diagrams

6th Grade RP Standards

7th Grade RP Standards

Comparison of Math Practices and Teaching Practices

## 2015 NCCTM State Conference

Every year the secondary math team of NCDPI presents a session at the annual state conference on current trends in mathematics education as well as updates on mathematics in the state of North Carolina. This year, we invited co-presenters from school districts in North Carolina as we presented tasks that support theTeaching and Learningprinciple in NCTM's recently released publication titledPrinciples to Actions.Principles to Actions High School Ensuring Math Success for All Joseph Reaper, Lisa Ashe and Chase Tuttle (Iredell-Statesville Schools)

## 2015 Fall Professional Development

## Region 3 - October 8, 2015

## Region 5 - October 1, 2015

This PD will focuses on NCTM's publication "Principles to Actions: Ensuring Mathematics Success for All." Participants will learn about the actions required to ensure that all students learn to become mathematical thinkers and are prepared for any academic career or professional path that they choose. Principles to Actions, sets forth a set of strongly recommended, research-informed actions for all teachers, coaches, and specialist in mathematics.Region 5 Powerpoint Presentation

Secondary Agenda

Teacher Beliefs Survey

National Data Handout

Comparison of Math Practices and Teaching Practices

Calling Plans Task-MS

Calling Plans Task-HS

Jigsaw Graphing Organizer

Summary of Math Teaching Practices Handout

Levels of Demand Chart

Cognitive Demand Sort

## Region 5 Professional Development, June 2015

## Session Title:

Expressions and Equations: The Building Blocks to Algebra## Session Description:

This session will focus on the learning progression within Expressions and Equations for middle school mathematics and how it provides a foundation for Algebra & Functions in high school. Additionally, the session will highlight the standards for mathematical practice and how teachers can support student learning through the lens of the mathematical teaching standards.## Target Audience:

Middle School teachers (6-8)Mathematics Teaching Practices

Standards for Mathematical Practice

Expressions and Equations Scavenger Hunt

Comparison of Math Practices and Teaching Practices

5th Grade-HS Math I Math Standards

Progressions of Expressions and Equations Task

Sorting Task

Cognitive Demand Sort

Hexagon Task

Hexagon Task Student Work

Hexagon Task Case Study

## 2015 Spring Regional

This PD will focuses on NCTM's publication "Principles to Actions: Ensuring Mathematics Success for All." Participants will learn about the actions required to ensure that all students learn to become mathematical thinkers and are prepared for any academic career or professional path that they choose. Principles to Actions, sets forth a set of strongly recommended, research-informed actions for all teachers, coaches, and specialist in mathematics.Comparison of Math Practices and Teaching Practices

Eight Essential Math Teaching Practices Chart

Eight Essential Math Teaching Practices Keyword Chart

Teacher Beliefs Survey

Cognitive Demand Sort

Boomerangs Task

Hexagon Task

Hexagon Task Student Work

Hexagon Task Case Study

Types of Questions-Headers

Types of Questions-Cards

Teaching and Learning Beliefs Cards

0

Essential Elements Cards:

## 2014 NCCTM Conference

## 2014 Fall Regional

The EQuIP (Educators Evaluating the Quality of Instructional Products) rubric is a tool designed to identify high-quality materials aligned to the Common Core State Standards (CCSS). The objectives of the training are two-fold: • Increase the number of high quality lessons and units aligned to the CCSS • Build the capacity of educators to evaluate and improve the quality of instructional materials for use in their classrooms and schools This session will allow participants an opportunity to learn and use the rubric so that they can implement in their schools and districtsFall 2014_EQUIP_pptRubric:EQuIP Math Rubric

Quality Review Steps

Feedback Sheet -EQuIP Quality Review Process

Lessons:Model Lesson

Sample Lesson #1

Sample Lesson #2

## 2014 Spring Regional

## 2013 Fall Regional

Putting the Mathematical Practices into “Action”Putting the Practices Into Action (Handout)

## 2013 Summer Institute

"Creating Active Thinkers"In the mathematics world we are all about providing strategies teachers can utilize to increase student's complex thinking and the development of the Mathematical Practices. To develop these develop 21st century skills, we must move beyond the traditional teaching model. Join us foron the "How To" journey to promote change in mathematics instruction.Creating Active Thinkers,Objectives:

- Provide strategies teachers can utilize to increase students’ complex level thinking.
- Connect the Strategies for a Thoughtful Classroom to the Standards for Mathematical Practice.

Learner Outcomes:## 2013 Spring Regional

To B or not to B

Dr. Phil Daro

Butterfly Fractions

Math Problems

Matching Task

## 2012 Fall Regional

Accessible Mathematics by Steven LeinwandSummer Institutes

Major Work of the CCSS-MPhi Delta Kappa Research Bulletin

McRel Insights PD Analysis

"It's Instruction Stupid"

Additional Steve Leinwand Presentations

Accessible Mathematics Book Study.doc X

Singapore Math

Zurkle Reflection

Zurkle Word Cards

Zurkle Word Cards with Numbers

A New Language Document

Elementary Math Problem Set

## 2012 Summer Institute

three shiftsaddress thesefour questions:Math Starters.Day 1.docx

Math Content Emphases.docx

Review of District Materials.docx

Teacher Rubric Only.pdf

Measuring in the Round.doc

The Structure is the Standard.doc

Shift Two Coherence.secondary.docx

Exploration Stations.6-12.docx

Exploration Stations Instructions.docx

Lining Up Dominoes Fraction-Decimal-Percent conversions.doc

Polynomial Four in a Row.version 1.docx

Polynomial Four in a Row.docx

Addition Integer Logic.doc

Multiplication Integer Logic.doc

Matching Representations.doc

The Power of Fun.doc

http://map.mathshell.org/materials/download.php?fileid=667

6-12 Summer Institute 2012-1.Day Two.Final.pptx

Math Starter.Day 2.docx

Percent Dilemma.docx

LASW.docx

A Protocol for Looking at Student Work.docx

Teacher Rubric Only.pdf

## 2012 Spring Regional

Let's Do Some Math.docx

Mathematics Three shifts.doc

Focus activity.docx

Time to Reflect.docx

Major Work Template.docx

Pledge Plan UDL.docx

Sample Lesson Plan.docx

Performance Metrics for this Spring.docx

## 2011 Fall Regional

Math 6-12 Introduction Powerpoint Notes.pdf

Standards for Mathematical Practice.pdf

Math 6-8 powerpoint.pdf

Math 6-8 powerpoint with Notes.pdf

Math 6-8 Handouts.pdf

Math 9-12 Powerpoint.pdf

Math 9-12 Handout 1.pdf

Math 9-12 Handout 2.pdf

Math 9-12 Handout 3.pdf

Math 9-12 Handout 4.pdf

## 2011 Summer Institute

Math K-5 Summer Institute Power Point.pdf

Math 6-12 Power Point with notes.pdf

Math 6-12 Handouts.pdf

Math 6-12 Alignment Sheets.pdf

Math 6-12 Summer Institute Agenda.pdf